###### Models, Theoretical

###### Models, Biological

###### Computer Simulation

###### Mathematics

###### Mathematical Concepts

###### Models, Cardiovascular

###### Models, Statistical

###### Models, Immunological

###### Algorithms

###### Mathematical Computing

###### Diffusion

###### Stochastic Processes

###### Nonlinear Dynamics

The study of systems which respond disproportionately (nonlinearly) to initial conditions or perturbing stimuli. Nonlinear systems may exhibit "chaos" which is classically characterized as sensitive dependence on initial conditions. Chaotic systems, while distinguished from more ordered periodic systems, are not random. When their behavior over time is appropriately displayed (in "phase space"), constraints are evident which are described by "strange attractors". Phase space representations of chaotic systems, or strange attractors, usually reveal fractal (FRACTALS) self-similarity across time scales. Natural, including biological, systems often display nonlinear dynamics and chaos.

###### Systems Biology

###### Feedback, Physiological

###### Models, Genetic

###### Reproducibility of Results

The statistical reproducibility of measurements (often in a clinical context), including the testing of instrumentation or techniques to obtain reproducible results. The concept includes reproducibility of physiological measurements, which may be used to develop rules to assess probability or prognosis, or response to a stimulus; reproducibility of occurrence of a condition; and reproducibility of experimental results.

###### Numerical Analysis, Computer-Assisted

###### Feedback

###### Models, Neurological

###### Disease Transmission, Infectious

###### Models, Chemical

###### Biological Clocks

###### Population Dynamics

###### Kidney Concentrating Ability

###### Disease Outbreaks

###### Biomechanical Phenomena

###### Epidemics

###### Monte Carlo Method

In statistics, a technique for numerically approximating the solution of a mathematical problem by studying the distribution of some random variable, often generated by a computer. The name alludes to the randomness characteristic of the games of chance played at the gambling casinos in Monte Carlo. (From Random House Unabridged Dictionary, 2d ed, 1993)

###### Loop of Henle

###### Action Potentials

###### Computational Biology

A field of biology concerned with the development of techniques for the collection and manipulation of biological data, and the use of such data to make biological discoveries or predictions. This field encompasses all computational methods and theories for solving biological problems including manipulation of models and datasets.

###### Biological Evolution

###### Basic Reproduction Number

###### Signal Transduction

The intracellular transfer of information (biological activation/inhibition) through a signal pathway. In each signal transduction system, an activation/inhibition signal from a biologically active molecule (hormone, neurotransmitter) is mediated via the coupling of a receptor/enzyme to a second messenger system or to an ion channel. Signal transduction plays an important role in activating cellular functions, cell differentiation, and cell proliferation. Examples of signal transduction systems are the GAMMA-AMINOBUTYRIC ACID-postsynaptic receptor-calcium ion channel system, the receptor-mediated T-cell activation pathway, and the receptor-mediated activation of phospholipases. Those coupled to membrane depolarization or intracellular release of calcium include the receptor-mediated activation of cytotoxic functions in granulocytes and the synaptic potentiation of protein kinase activation. Some signal transduction pathways may be part of larger signal transduction pathways; for example, protein kinase activation is part of the platelet activation signal pathway.

###### Oxygen

###### Models, Anatomic

###### Biological Transport

###### Culicidae

###### Calcium Signaling

Signal transduction mechanisms whereby calcium mobilization (from outside the cell or from intracellular storage pools) to the cytoplasm is triggered by external stimuli. Calcium signals are often seen to propagate as waves, oscillations, spikes, sparks, or puffs. The calcium acts as an intracellular messenger by activating calcium-responsive proteins.

###### Homeostasis

###### Neoplasms

###### Trichloroepoxypropane

###### Software

###### Atlantic Islands

Widely scattered islands in the Atlantic Ocean as far north as the AZORES and as far south as the South Sandwich Islands, with the greatest concentration found in the CARIBBEAN REGION. They include Annobon Island, Ascension, Canary Islands, Falkland Islands, Fernando Po (also called Isla de Bioko and Bioko), Gough Island, Madeira, Sao Tome and Principe, Saint Helena, and Tristan da Cunha.

###### Engineering

###### Calcium

A basic element found in nearly all organized tissues. It is a member of the alkaline earth family of metals with the atomic symbol Ca, atomic number 20, and atomic weight 40. Calcium is the most abundant mineral in the body and combines with phosphorus to form calcium phosphate in the bones and teeth. It is essential for the normal functioning of nerves and muscles and plays a role in blood coagulation (as factor IV) and in many enzymatic processes.

###### Sinoatrial Node

The small mass of modified cardiac muscle fibers located at the junction of the superior vena cava (VENA CAVA, SUPERIOR) and right atrium. Contraction impulses probably start in this node, spread over the atrium (HEART ATRIUM) and are then transmitted by the atrioventricular bundle (BUNDLE OF HIS) to the ventricle (HEART VENTRICLE).

###### Periodicity

###### Sensitivity and Specificity

###### Stress, Mechanical

###### HIV Infections

###### Systems Theory

Principles, models, and laws that apply to complex interrelationships and interdependencies of sets of linked components which form a functioning whole, a system. Any system may be composed of components which are systems in their own right (sub-systems), such as several organs within an individual organism.

###### Riots

###### Communicable Disease Control

###### Kidney Medulla

###### Membrane Potentials

The voltage differences across a membrane. For cellular membranes they are computed by subtracting the voltage measured outside the membrane from the voltage measured inside the membrane. They result from differences of inside versus outside concentration of potassium, sodium, chloride, and other ions across cells' or ORGANELLES membranes. For excitable cells, the resting membrane potentials range between -30 and -100 millivolts. Physical, chemical, or electrical stimuli can make a membrane potential more negative (hyperpolarization), or less negative (depolarization).

###### Uncertainty

###### Forecasting

###### Carbon Dioxide

###### Insect Vectors

###### Host-Parasite Interactions

###### Carnobacterium

###### CD-I

An optical disk storage system used on specialized players that combine the functions of computer and CD player in a self-contained box, designed to be connected to a television set and a home stereo for video and sound output. The player is controlled with a hand-held remote unit resembling a television remote control. (J Allied Health 1993 Winter;22(1):131-8)

###### Markov Chains

###### Cells

###### Pressure

###### Rheology

###### Myocytes, Cardiac

###### Adaptation, Physiological

###### Viscosity

###### Influenza, Human

###### Mutation

###### Yin-Yang

In Chinese philosophy and religion, two principles, one negative, dark, and feminine (yin) and one positive, bright, and masculine (yang), from whose interaction all things are produced and all things are dissolved. As a concept the two polar elements referred originally to the shady and sunny sides of a valley or a hill but it developed into the relationship of any contrasting pair: those specified above (female-male, etc.) as well as cold-hot, wet-dry, weak-strong, etc. It is not a distinct system of thought by itself but permeates Chinese life and thought. A balance of yin and yang is essential to health. A deficiency of either principle can manifest as disease. (Encyclopedia Americana)

###### Physiology

###### Ecological Systems, Closed

Systems that provide for the maintenance of life in an isolated living chamber through reutilization of the material available, in particular, by means of a cycle wherein exhaled carbon dioxide, urine, and other waste matter are converted chemically or by photosynthesis into oxygen, water, and food. (NASA Thesaurus, 1988)

###### Predatory Behavior

###### Dogs

###### Least-Squares Analysis

###### Chondrosarcoma, Mesenchymal

A rare aggressive variant of chondrosarcoma, characterized by a biphasic histologic pattern of small compact cells intermixed with islands of cartilaginous matrix. Mesenchymal chondrosarcomas have a predilection for flat bones; long tubular bones are rarely affected. They tend to occur in the younger age group and are highly metastatic. (DeVita Jr et al., Cancer: Principles & Practice of Oncology, 3d ed, p1456)

###### Incidence

###### Glycolysis

A metabolic process that converts GLUCOSE into two molecules of PYRUVIC ACID through a series of enzymatic reactions. Energy generated by this process is conserved in two molecules of ATP. Glycolysis is the universal catabolic pathway for glucose, free glucose, or glucose derived from complex CARBOHYDRATES, such as GLYCOGEN and STARCH.

###### Metabolic Networks and Pathways

###### Potassium

An element in the alkali group of metals with an atomic symbol K, atomic number 19, and atomic weight 39.10. It is the chief cation in the intracellular fluid of muscle and other cells. Potassium ion is a strong electrolyte that plays a significant role in the regulation of fluid volume and maintenance of the WATER-ELECTROLYTE BALANCE.

###### Oxygen Consumption

###### Water Movements

###### Gene Regulatory Networks

Interacting DNA-encoded regulatory subsystems in the GENOME that coordinate input from activator and repressor TRANSCRIPTION FACTORS during development, cell differentiation, or in response to environmental cues. The networks function to ultimately specify expression of particular sets of GENES for specific conditions, times, or locations.

###### Electrophysiological Processes

###### Malaria

A protozoan disease caused in humans by four species of the PLASMODIUM genus: PLASMODIUM FALCIPARUM; PLASMODIUM VIVAX; PLASMODIUM OVALE; and PLASMODIUM MALARIAE; and transmitted by the bite of an infected female mosquito of the genus ANOPHELES. Malaria is endemic in parts of Asia, Africa, Central and South America, Oceania, and certain Caribbean islands. It is characterized by extreme exhaustion associated with paroxysms of high FEVER; SWEATING; shaking CHILLS; and ANEMIA. Malaria in ANIMALS is caused by other species of plasmodia.

###### Glucose

###### Dose-Response Relationship, Drug

###### Ventilation

###### Computers, Hybrid

###### Sodium

###### Adnexal Diseases

###### Body Fluid Compartments

###### Osmolar Concentration

###### Energy Metabolism

###### Finite Element Analysis

###### Metabolic Flux Analysis

###### Escherichia coli

A species of gram-negative, facultatively anaerobic, rod-shaped bacteria (GRAM-NEGATIVE FACULTATIVELY ANAEROBIC RODS) commonly found in the lower part of the intestine of warm-blooded animals. It is usually nonpathogenic, but some strains are known to produce DIARRHEA and pyogenic infections. Pathogenic strains (virotypes) are classified by their specific pathogenic mechanisms such as toxins (ENTEROTOXIGENIC ESCHERICHIA COLI), etc.

###### Bayes Theorem

A theorem in probability theory named for Thomas Bayes (1702-1761). In epidemiology, it is used to obtain the probability of disease in a group of people with some characteristic on the basis of the overall rate of that disease and of the likelihood of that characteristic in healthy and diseased individuals. The most familiar application is in clinical decision analysis where it is used for estimating the probability of a particular diagnosis given the appearance of some symptoms or test result.

###### Circadian Rhythm

###### Bacteria

One of the three domains of life (the others being Eukarya and ARCHAEA), also called Eubacteria. They are unicellular prokaryotic microorganisms which generally possess rigid cell walls, multiply by cell division, and exhibit three principal forms: round or coccal, rodlike or bacillary, and spiral or spirochetal. Bacteria can be classified by their response to OXYGEN: aerobic, anaerobic, or facultatively anaerobic; by the mode by which they obtain their energy: chemotrophy (via chemical reaction) or PHOTOTROPHY (via light reaction); for chemotrophs by their source of chemical energy: CHEMOLITHOTROPHY (from inorganic compounds) or chemoorganotrophy (from organic compounds); and by their source for CARBON; NITROGEN; etc.; HETEROTROPHY (from organic sources) or AUTOTROPHY (from CARBON DIOXIDE). They can also be classified by whether or not they stain (based on the structure of their CELL WALLS) with CRYSTAL VIOLET dye: gram-negative or gram-positive.

###### Mammals

###### Hydrogen-Ion Concentration

###### Permeability

###### Vaccination

###### Electrophysiological Phenomena

###### Air Sacs

###### Ion Transport

###### Solute Carrier Family 12, Member 1

###### Fluorescence Recovery After Photobleaching

A method used to study the lateral movement of MEMBRANE PROTEINS and LIPIDS. A small area of a cell membrane is bleached by laser light and the amount of time necessary for unbleached fluorescent marker-tagged proteins to diffuse back into the bleached site is a measurement of the cell membrane's fluidity. The diffusion coefficient of a protein or lipid in the membrane can be calculated from the data. (From Segen, Current Med Talk, 1995).

###### Selection, Genetic

###### Chemotaxis

###### Biochemical Phenomena

###### Prevalence

###### Cell Membrane Permeability

###### HIV

Human immunodeficiency virus. A non-taxonomic and historical term referring to any of two species, specifically HIV-1 and/or HIV-2. Prior to 1986, this was called human T-lymphotropic virus type III/lymphadenopathy-associated virus (HTLV-III/LAV). From 1986-1990, it was an official species called HIV. Since 1991, HIV was no longer considered an official species name; the two species were designated HIV-1 and HIV-2.

###### Microfluidics

###### Evolution, Molecular

###### Calibration

###### Imaging, Three-Dimensional

The process of generating three-dimensional images by electronic, photographic, or other methods. For example, three-dimensional images can be generated by assembling multiple tomographic images with the aid of a computer, while photographic 3-D images (HOLOGRAPHY) can be made by exposing film to the interference pattern created when two laser light sources shine on an object.

###### Cost-Benefit Analysis

A method of comparing the cost of a program with its expected benefits in dollars (or other currency). The benefit-to-cost ratio is a measure of total return expected per unit of money spent. This analysis generally excludes consideration of factors that are not measured ultimately in economic terms. Cost effectiveness compares alternative ways to achieve a specific set of results.

###### Pulmonary Gas Exchange

###### Noble Gases

###### Linear Models

###### Area Under Curve

A statistical means of summarizing information from a series of measurements on one individual. It is frequently used in clinical pharmacology where the AUC from serum levels can be interpreted as the total uptake of whatever has been administered. As a plot of the concentration of a drug against time, after a single dose of medicine, producing a standard shape curve, it is a means of comparing the bioavailability of the same drug made by different companies. (From Winslade, Dictionary of Clinical Research, 1992)

###### Extracellular Space

###### Erythrocytes

###### Absorption

###### Water

###### Extracellular Fluid

###### Partial Pressure

###### Biochemical Processes

###### Acid-Base Equilibrium

###### Temperature

###### Disease Vectors

###### Heart Ventricles

###### Host-Pathogen Interactions

###### Eustachian Tube

###### Indicator Dilution Techniques

###### Movement

The act, process, or result of passing from one place or position to another. It differs from LOCOMOTION in that locomotion is restricted to the passing of the whole body from one place to another, while movement encompasses both locomotion but also a change of the position of the whole body or any of its parts. Movement may be used with reference to humans, vertebrate and invertebrate animals, and microorganisms. Differentiate also from MOTOR ACTIVITY, movement associated with behavior.

###### Porosity

###### Heart Conduction System

###### Zimbabwe

###### Cultural Evolution

###### Wavelet Analysis

Signal and data processing method that uses decomposition of wavelets to approximate, estimate, or compress signals with finite time and frequency domains. It represents a signal or data in terms of a fast decaying wavelet series from the original prototype wavelet, called the mother wavelet. This mathematical algorithm has been adopted widely in biomedical disciplines for data and signal processing in noise removal and audio/image compression (e.g., EEG and MRI).

###### Systems Analysis

###### Sodium Channels

###### Ruminants

###### Arterioles

###### Microbial Interactions

###### Bioreactors

Tools or devices for generating products using the synthetic or chemical conversion capacity of a biological system. They can be classical fermentors, cell culture perfusion systems, or enzyme bioreactors. For production of proteins or enzymes, recombinant microorganisms such as bacteria, mammalian cells, or insect or plant cells are usually chosen.

###### Urea

###### Seasons

###### Capillary Permeability

The property of blood capillary ENDOTHELIUM that allows for the selective exchange of substances between the blood and surrounding tissues and through membranous barriers such as the BLOOD-AIR BARRIER; BLOOD-AQUEOUS BARRIER; BLOOD-BRAIN BARRIER; BLOOD-NERVE BARRIER; BLOOD-RETINAL BARRIER; and BLOOD-TESTIS BARRIER. Small lipid-soluble molecules such as carbon dioxide and oxygen move freely by diffusion. Water and water-soluble molecules cannot pass through the endothelial walls and are dependent on microscopic pores. These pores show narrow areas (TIGHT JUNCTIONS) which may limit large molecule movement.

###### Ecology

The branch of science concerned with the interrelationship of organisms and their ENVIRONMENT, especially as manifested by natural cycles and rhythms, community development and structure, interactions between different kinds of organisms, geographic distributions, and population alterations. (Webster's, 3d ed)

###### Sodium-Calcium Exchanger

###### Biological Transport, Active

###### Sarcoplasmic Reticulum

###### Predictive Value of Tests

In screening and diagnostic tests, the probability that a person with a positive test is a true positive (i.e., has the disease), is referred to as the predictive value of a positive test; whereas, the predictive value of a negative test is the probability that the person with a negative test does not have the disease. Predictive value is related to the sensitivity and specificity of the test.

###### Cell Communication

###### Electrophysiology

###### Water Pollutants

###### Colony Count, Microbial

Enumeration by direct count of viable, isolated bacterial, archaeal, or fungal CELLS or SPORES capable of growth on solid CULTURE MEDIA. The method is used routinely by environmental microbiologists for quantifying organisms in AIR; FOOD; and WATER; by clinicians for measuring patients' microbial load; and in antimicrobial drug testing.

###### Smallpox

###### Cell Cycle

The complex series of phenomena, occurring between the end of one CELL DIVISION and the end of the next, by which cellular material is duplicated and then divided between two daughter cells. The cell cycle includes INTERPHASE, which includes G0 PHASE; G1 PHASE; S PHASE; and G2 PHASE, and CELL DIVISION PHASE.

###### Data Interpretation, Statistical

###### Hydrodynamics

###### Livestock

###### Citric Acid Cycle

###### Calcium Channels, L-Type

Long-lasting voltage-gated CALCIUM CHANNELS found in both excitable and nonexcitable tissue. They are responsible for normal myocardial and vascular smooth muscle contractility. Five subunits (alpha-1, alpha-2, beta, gamma, and delta) make up the L-type channel. The alpha-1 subunit is the binding site for calcium-based antagonists. Dihydropyridine-based calcium antagonists are used as markers for these binding sites.

###### Record linkage

**Mathematical**

**model**[edit]. In an application with two files, A and B, denote the rows (records) by α. (. a. ). {\displaystyle \ ... Each operational source system may have its own method of identifying the same entities used in the logical data

**model**, so ... Their pioneering work "A Theory For Record Linkage"[3] remains the

**mathematical**foundation for many record linkage applications ... Data warehouses serve to combine data from many different operational source systems into one logical data

**model**, which can ...

###### Electromagnetic shielding

**Mathematical**

**model**[edit]. Suppose that we have a spherical shell of a (linear and isotropic) diamagnetic material with relative ...

###### Kidney

**Mathematical**

**modelling**of function[edit]. The kidney is a very complex organ and

**mathematical**

**modelling**has been used to better ... A.M. Weinstein (1994). "

**Mathematical**

**models**of tubular transport". Annual Review of Physiology. 56: 691-709. doi:10.1146/ ... S.R. Thomas (2005). "

**Modelling**and simulation of the kidney". Journal of Biological Physics and Chemistry. 5: 70-83. doi: ... However, this

**model**is greatly simplified for clarity and symmetry. Some of the other paths and complications are described at ...

###### Pupillary light reflex

**Mathematical**

**model**[edit]. Pupillary light reflex is

**modeled**as a physiologically-based non-linear delay differential equation ... Pamplona, Vitor F.; Oliveira, Manuel M.; Baranoski, Gladimir V. G. (1 August 2009). "Photorealistic

**models**for pupil light ...

###### Daria Khaltourina

**Mathematical**

**modeling**of global dynamics[edit]. In this field she has proposed one of the most convincing

**mathematical**... and developed a number of

**mathematical**

**models**describing both this phenomenon, and the World System withdrawal from the blow-up ...

###### Genetic drift

**Mathematical**

**models**[edit].

**Mathematical**

**models**of genetic drift can be designed using either branching processes or a diffusion ... which means that

**mathematical**solutions are easier for the Moran

**model**than for the Wright-Fisher

**model**. On the other hand, ... Moran

**model**[edit]. The Moran

**model**assumes overlapping generations. At each time step, one individual is chosen to reproduce ... In the Wright-Fisher

**model**, it takes just one.[12] In practice, the Moran and Wright-Fisher

**models**give qualitatively similar ...

###### Syndemic

**Mathematical**

**modelling**[edit]. A

**mathematical**

**model**is a simplified representation using

**mathematical**language to describe ...

**Mathematical**

**modelling**in epidemiology is now being applied to syndemics. For example,

**modelling**to quantify the syndemic ... In Plagues:

**Models**and Metaphors in the Human 'Struggle' with Disease, D. Ann Herring and Alan C. Swedlund, Editors, pp. 21-38 ... Their

**model**also suggests that HIV has contributed to the wider geographic spread of malaria in Africa, a process previously ...

###### Error threshold (evolution)

A simple

**mathematical****model**[edit]. Consider a 3-digit molecule [A,B,C] where A, B, and C can take on the values 0 and 1. There ... where the matrix 'w' that incorporates natural selection and mutation, according to quasispecies**model**, is given by:. w. =. [. ... Stochastic corrector**model**(Szathmáry & Maynard Smith, 1995). In this proposed solution, a number of primitive molecules of say ...###### Jean-Pierre Petit

**Mathematical**

**Modelling**. 5 (4): 273-281. doi:10.1016/0270-0255(80)90039-1. Petit, J.-P (1985). Topo the World (PDF). Savoir Sans ... In the 1980s, he taught sculpture at the art school of Aix-en-Provence, where he designed a 5-foot diameter

**model**of Boy's ...

###### Arnold Emch

The American

**Mathematical**Monthly. 28 (2): 46-54. doi:10.2307/2973033. JSTOR 2973033.**Mathematical****models**. 1921. Emch, Arnold ( ... Emch, Arnold (February 1921). "On the construction and**modelling**of algebraic surfaces". ...###### List of books about polyhedra

Reviews of

**Mathematical****Models**: Goldberg, M. "Review of 1st ed".**Mathematical**Reviews. MR 0049560. Müller, H. R. "Review of 1st ... 2nd ed., Polyhedron**Models**for the Classroom, 1974. Spherical**Models**, 1979. Dual**Models**, 1983. Akiyama, Jin; Matsunaga, Kiyoko ... Cundy, H. M.; Rollett, A. P. (1952).**Mathematical****Models**. Clarendon Press. 2nd ed., 1961. 3rd ed., Tarquin, 1981, ISBN 978-0- ... JSTOR 1574381.CS1 maint: untitled periodical (link) Reviews of Dual**Models**: Ede, J. D. (December 1984). The**Mathematical**...###### Invariants of tensors

Betten, J. (1987). "Irreducible Invariants of Fourth-Order Tensors".

**Mathematical****Modelling**. 8: 29-33. doi:10.1016/0270-0255(87 ... Robertson, H. P. (1940). "The Invariant Theory of Isotropic Turbulence".**Mathematical**Proceedings of the Cambridge ...**Mathematical**, Physical and Engineering Sciences. 242 (855): 557-577. Bibcode:1950RSPTA.242..557C. doi:10.1098/rsta.1950.0010. ...###### Minimum spanning tree

**Mathematical**

**Modelling**. 4 (2): 167-189. doi:10.1016/0270-0255(83)90026-X. Kalaba, Robert E. (1963), Graph Theory and Automatic ... In a comparison

**model**, in which the only allowed operations on edge weights are pairwise comparisons, Karger, Klein & Tarjan ( ... The

**mathematical**definition of the problem is the same but there are different approaches for a solution. The capacitated ... Handwriting recognition of

**mathematical**expressions. Circuit design: implementing efficient multiple constant multiplications, ...

###### Currentology

**Mathematical**

**models**. London: Wiley-ISTE. p. 93. ISBN 978-1118587744.CS1 maint: extra text: authors list (link). ...

###### Multi-objective optimization

Wierzbicki, A. P. (1982). "A

**mathematical**basis for satisficing decision making".**Mathematical****Modelling**. 3 (5): 391-405. doi: ... Instead of**mathematical**convergence that is often used as a stopping criterion in**mathematical**optimization methods, a ... In**mathematical**terms, a multi-objective optimization problem can be formulated as min ( f 1 ( x → ) , f 2 ( x → ) , … , f k ( ... In**mathematical**terms, a feasible solution x → 1 ∈ X {\displaystyle {\vec {x}}_{1}\in X} is said to (Pareto) dominate another ...###### Phyllotaxis

van der Linden F. "PhaseLab". van der Linden FM (April 1996). "Creating phyllotaxis: the stack-and-drag

**model**".**Mathematical**... Physical**models**of phyllotaxis date back to Airy's experiment of packing hard spheres. Gerrit van Iterson diagrammed grids ...**Mathematical**observations of phyllotaxis followed with Karl Friedrich Schimper and his friend Alexander Braun's 1830 and 1830 ... Computer**modeling**and morphological studies have confirmed and refined Hoffmeister's ideas. Questions remain about the details ...###### Advertising campaign

Paksoy, T & Chang, C. (2010). Applied

**Mathematical****Modelling**. Revised multi-choice goal programming for multi-period, multi- ... stage inventory controlled supply chain**model**with popup stores in Guerrilla marketing, 34(34), 3586-3587 Kotler, P; Caslione, ...###### Infinite element method

Applied

**Mathematical****Modelling**. 30 (7): 641-655. doi:10.1016/j.apm.2005.08.022. ISSN 0307-904X.. ... The infinite element method is a numerical method for solving problems of engineering and**mathematical**physics. It is a ...###### Numerical methods in fluid mechanics

Applied

**Mathematical****Modelling**. Shchepetkin, A. F., McWilliams, J. C., 1998. Quasi-monotone advection schemes based on explicit ... Atmospheric**model**have also adopted spectral methods because of their convergence properties and the regular spherical shape of ...###### Paper bag problem

Baginski, F.; Chen, Q. & Waldman, I. (2001). "

**Modeling**the Design Shape of a Large Scientific Balloon". Applied**Mathematical**... Paulsen, W. H. (1994). "What Is the Shape of a Mylar Balloon?". American**Mathematical**Monthly. 101 (10): 953-958. doi:10.2307/ ...**Modelling**. 25 (11): 953-956. doi:10.1016/S0307-904X(01)00024-5. Mladenov, I. M. (2001). "On the Geometry of the Mylar Balloon ...###### Multiway number partitioning

Applied

**Mathematical****Modelling**. 37 (22): 9191-9202. doi:10.1016/j.apm.2013.03.075. ISSN 0307-904X. Walsh, Toby (2009-07-11). " ...###### Refuge (ecology)

Applied

**Mathematical****Modelling**. 37 (5): 3048-62. doi:10.1016/j.apm.2012.07.030. Rogers-Bennett, Laura; Hubbard, Kristin E.; ... Lv, Yunfei; Yuan, Rong; Pei, Yongzhen (2013). "A prey-predator**model**with harvesting for fishery resource with reserve area". ...###### Lateral computing

Treats the problem with rigorous

**mathematical**analysis. Creates**mathematical****models**. The computing technique can be analyzed ... The traditional or conventional approach to solving computing problems is to either build**mathematical****models**or have an IF- ... Lateral-computing is valuable while solving numerous computing problems whose**mathematical****models**are unavailable.[citation ... Does not directly approach the problem through**mathematical**means. Uses indirect**models**or looks for analogies to solve the ...###### Singular value decomposition

Applied

**Mathematical****Modelling**. 37 (20-21): 8930-8945. doi:10.1016/j.apm.2013.04.025. Setyawati, Y.; Ohme, F.; Khan, S. (2019 ... HOSVD-based canonical form of TP functions and qLPV**models**Tensor product**model**transformation TP**model**transformation in ... The aim of reduced order**modelling**is to reduce the number of degrees of freedom in a complex system which is to be**modeled**. ... Separable**models**often arise in biological systems, and the SVD factorization is useful to analyze such systems. For example, ...###### Vertical axis wind turbine

Applied

**Mathematical****Modelling**. 40 (2): 1038-1051. doi:10.1016/j.apm.2015.07.001. ISSN 0307-904X. Koop, Fermin (2021-04-27). " ... Computer**modelling**suggests that wind farms constructed using vertical-axis wind turbines are 15% more efficient than ... "Vertical turbines could be the future for wind farms". EurekAlert!. "Numerical**modelling**and optimization of vertical axis wind ... Islam, M; Ting, D; Fartaj, A (2008). "Aerodynamic**models**for Darrieus-type straight-bladed vertical axis wind turbines". ...###### Population ecology

The development of population ecology owes much to the

**mathematical****models**known as population dynamics, which were originally ... A more general**model**formulation was proposed by F. J. Richards in 1959, further expanded by Simon Hopkins, in which the**models**... Applied**Mathematical****Modelling**. 37 (5): 3048-62. doi:10.1016/j.apm.2012.07.030. Vandermeer, J. H.; Goldberg, D. E. (2003). ... While the use of population dynamic**models**along with statistics and optimization to set harvest limits for fish and game is ...###### Maximum score estimator

Walker, Joan; Ben-Akiva, Moshe (2002). "Generalized random utility

**model**".**Mathematical**Social Sciences. 43 (3): 303-343. doi: ... then the**model**becomes a multinomial logit**model**. The parametric**model**is convenient for computation but might not be ... This is the latent utility representation of a binary choice**model**. In this**model**, the choice is: Y t = 1 [ X 1 , t β + ε 1 > X ... For instance, if the distribution of error term is assumed to be normal, then the**model**is just a multinomial probit**model**; if ...###### Cuckoo search

Applied

**Mathematical****Modelling**. 40 (7-8): 4543-4559. 2016-04-01. doi:10.1016/j.apm.2015.11.023. ISSN 0307-904X. Zhao, J.; Liu, ... ArXiv**Mathematical**Physics e-Prints, June, (2001). X. S. Yang, Metaheuristic optimization: algorithm analysis and open problems ...###### Oil platform

Applied

**Mathematical****Modelling**. 32 (10): 1996-2018. doi:10.1016/j.apm.2007.06.031. When a hurricane enters the GOM, oil ... The Petronius Platform is a compliant tower in the Gulf of Mexico**modeled**after the Hess Baldpate platform, which stands 2,100 ...###### Boltzmann equation

Applied

**Mathematical****Modelling**. 52: 215-240. doi:10.1016/j.apm.2017.07.024. ISSN 0307-904X. Pareschi, L.; Russo, G. (2000-01-01 ... Applied**Mathematical****Modelling**. 35 (3): 996-1015. doi:10.1016/j.apm.2010.07.027. Evans, B.; Walton, S.P. (December 2017). " ... "**model**" and simplify the collision term. The best known**model**equation is due to Bhatnagar, Gross and Krook. The assumption in ... "A**Model**for Collision Processes in Gases. I. Small Amplitude Processes in Charged and Neutral One-Component Systems". Physical ...###### Computational neuroscience

Abbott, L. F.; Dayan, Peter (2001). Theoretical neuroscience: computational and

**mathematical****modeling**of neural systems. ... The**mathematical****models**formulated in computational neuroscience are useful since they capture the essential features of the ... Single-neuron**modeling**[edit]. Main article: Biological neuron**models**. Even single neurons have complex biophysical ... However, since the biologically plausible**mathematical****models**formulated in neuroscience are in most cases too complex to be ...###### Robert Fludd

... placing it central to Fludd's

**model**of the macrocosm.[10] remained in manuscript.[11] As the sun was to the earth, so was the ... approach is deeper than the**mathematical**.[17] ...###### Food web

Ecologists use these simplifications in quantitative (or

**mathematical**)**models**of trophic or consumer-resource systems dynamics ... While the complexity of real food webs connections are difficult to decipher, ecologists have found**mathematical****models**on ... This hypothesis was challenged through**mathematical****models**suggesting otherwise, but subsequent studies have shown that the ... Ecologists use simplified one trophic position food chain**models**(producer, carnivore, decomposer). Using these**models**, ...###### United States Merchant Marine Academy

George Oster (1961) Professor

**Mathematical**Biology, University of California; MacArthur Fellow; Member National Academy of ... Navy's David Taylor**Model**Basin; inducted into USMMA Hall of Distinguished Graduates in 2008 ...###### Centrifugation

Cao, W., Demeler B.

**Modeling**Analytical Ultracentrifugation Experiments with an Adaptive Space-Time Finite Element Solution for ...**Mathematical**formulaEdit. The general formula for calculating the revolutions per minute (RPM) of a centrifuge is ... Sedimentation Velocity Analysis of Heterogeneous Protein-Protein Interactions: Lamm Equation**Modeling**and Sedimentation ... depending on the centrifuge**model**used, the respective angle of the rotor and the radius may vary, thus the formula gets ...###### User:Cretog8/references

"The

**Mathematical**Romance:An Engineer's View of**Mathematical**Economics" (PDF). Econ Journal Watch. 2 (1). Retrieved 2008-06-07 ... Pecorino, Paul (1995), "Tax rates and tax revenues in a**model**of growth through human capital accumulation", Journal of ...###### Ebola

... recent estimates based on

**mathematical****models**predict that around 5% of cases may take greater than 21 days to develop.[24] ... Disease**models**. Animal**models**and in particular non-human primates are being used to study different aspects of Ebola virus ... Developments in organ-on-a-chip technology have led to a chip-based**model**for Ebola haemorrhagic syndrome.[262] ...###### Level of measurement

The concept of scale types later received the

**mathematical**rigour that it lacked at its inception with the work of**mathematical**... Rasch, G. (1960). Probabilistic**models**for some intelligence and attainment tests. Copenhagen: Danish Institute for Educational ...**Mathematical**operations[edit]. Equality and other operations that can be defined in terms of equality, such as inequality and ... Alper, T. M. (1985). "A note on real measurement structures of scale type (m, m + 1)". Journal of**Mathematical**Psychology. 29: ...###### Darwin Medal - Simple English Wikipedia, the free encyclopedia

... application of sophisticated

**mathematical**analysis but focussed on developing biological understanding rather than**mathematical**... developing**models**for the evolution of genetic systems, including sex and recombination, inbreeding and outbreeding, separate ...###### Technology

The development of technology may draw upon many fields of knowledge, including scientific, engineering,

**mathematical**, ... though most analysts resist the**model**that technology simply is a result of scientific research.[19][20] ...###### Wikipedia talk:WikiProject Mathematics

**Mathematical**concepts have precise definitions. For example, a topology is a set of subsets satisfying certain axioms. However ... I followed the

**model**of square root of negative numbers. For comparison, Special:PrefixIndex/square roots has nothing of the ...

**Mathematical**content of YouTube videos is often unreliable (though some may be useful for pedagogical purposes rather than as ... A topology (count noun) is a

**mathematical**object, whereas topology (mass noun) is a discipline.. This is by the way the ...

###### Cultured neuronal network

This

**model**has proved to be an invaluable tool to scientists studying the underlying principles behind neuronal learning, ... They gathered network burst profiles (BPs) through a**mathematical**observation of array-wide spiking rate (AWSR), which is the ... A cultured neuronal network is a cell culture of neurons that is used as a**model**to study the central nervous system, ... This remains one of the most striking differences between the**model**and the reality, and this fact probably plays a large role ...###### Mann-Whitney U test

"Annals of

**Mathematical**Statistics. 34 (2): 598-611. doi:10.1214/aoms/1177704172. JSTOR 2238406. MR 0152070. Zbl 0203.21105. PE ... Regression**model**validation. *Mixed effects**models**. *Simultaneous equations**models**. *Multivariate adaptive regression splines ( ... Annals of**Mathematical**Statistics. 18 (1): 50-60. doi:10.1214/aoms/1177730491. MR 0022058. Zbl 0041.26103.. .mw-parser-output ...###### Compound interest

A way of

**modeling**the force of inflation is with Stoodley's formula: δ. t. =. p. +. s. 1. +. r. s. e. s. t. {\displaystyle \ ... e (**mathematical**constant). References[edit]. *^ "Compound Interest Calculator - MyCheckWeb.Com". MyCheckWeb.Com. Retrieved 2018 ... See definitions of the exponential function for the**mathematical**proof of this limit. The amount after t periods of continuous ... Witt was a London**mathematical**practitioner and his book is notable for its clarity of expression, depth of insight and ...###### Diagenesis

... and a

**mathematical****model**in a compacting porous medium to**model**the dissolution-precipitation mechanism.[10] These**models**have ... A kinetic**model**based on experimental data can capture most of the essential transformation in diagenesis,[9] ... Wilson, L. and M. Pollard, "Here today, gone tomorrow? Integrated experimentation and geochemical**modeling**in studies of ...###### QuickLOAD

With this data engineers can create algorithms that utilize both known

**mathematical**ballistic**models**as well as test specific, ... For this it can use several drag**models**; G1, G5, G7, etc. and a custom drag function that uses drag coefficient (Cd) data. In ... QuickTARGET is based on the Siacci/Mayevski G1**model**and gives the user the possibility to enter several different BC G1 ...###### Computer graphics (computer science)

**Models**of scattering and shading are used to describe the appearance of a surface. In graphics these problems are often studied ... It focuses on the

**mathematical**and computational foundations of image generation and processing rather than purely aesthetic ... Geometric

**Modeling**and Industrial Geometry Group at Technische Universitat Wien. *The Institute of Computer Graphics and ... Implicit surface

**modeling**- an older subfield which examines the use of algebraic surfaces, constructive solid geometry, etc., ...

###### Quantum thermodynamics

Consistency with thermodynamics can be employed to verify quantum dynamical

**models**of transport. For example, local**models**for ...**Mathematical**foundations of quantum mechanics. No. 2. Princeton university press, 1955. *^ a b c d [1] Kosloff, Ronnie. " ... A quantum version of an adiabatic process can be**modeled**by an externally controlled time dependent Hamiltonian H. (. t. ). {\ ... Alicki, R. Quantum open systems as a**model**of a heat engine. J. Phys A: Math. Gen. 1979, 12, L103-L107 ...###### Refractive index

... δ in terms of a valid physical

**model**for n and κ. By fitting the theoretical**model**to the measured R or T, or ψ and δ using ... See also:**Mathematical**descriptions of opacity. When light passes through a medium, some part of it will always be attenuated. ... "Non-reflecting" crystal**model**)". Radiophysics and Quantum Electronics. 21 (9): 916-920. doi:10.1007/BF01031726.. ... The difference is related to defining sinusoidal time dependence as Re[exp(−iωt)] versus Re[exp(+iωt)]. See**Mathematical**...###### Mark and recapture

There are very elaborate statistical

**models**available for the analysis of these experiments.[15] A simple**model**which easily ... Schnabel, Z. E. (1938). "The Estimation of the Total Fish Population of a Lake". American**Mathematical**Monthly. 45 (6): 348-352 ... Natural Resource**Modeling**16:465-475 *^ Maunder, M.N. (2001) Integrated Tagging and Catch-at-Age Analysis (ITCAAN). In Spatial ... Royle, J. A.; R. M. Dorazio (2008). Hierarchical**Modeling**and Inference in Ecology. Elsevier. ISBN 978-1-930665-55-2. .. ...###### Neo-Piagetian theories of cognitive development

Pascual-Leone, J. (1970). A

**mathematical****model**for the transition rule in Piaget's developmental stages. Acta Psychologica, 32 ... named the**model**of hierarchical complexity (MHC). The**model**assesses a single measure of difficulty of inferred tasks across ... a b c Demetriou, A., Mouyi, A., & Spanoudis, G. (2008).**Modeling**the structure and development of g. Intelligence, 5, 437-454. ... Van Geert assumed that the basic growth**model**is the so-called "logistic growth**model**", which suggests that the development of ...###### Observer effect (physics)

Instead, ψ is an abstract

**mathematical**function that contains all the statistical information that an observer can obtain from ... Additional problems related to decoherence arise when the observer is**modeled**as a quantum system, as well. ... In this case, there is no real mystery that**mathematical**form of the wave function ψ must change abruptly after a measurement ... V. P. Belavkin (1992). "Quantum continual measurements and a posteriori collapse on CCR". Communications in**Mathematical**...###### Occupational health psychology

Job demands-resources

**model**[edit]. An alternative**model**, the job demands-resources (JD-R)**model**,[63] grew out of the DCS**model**... Demand-control-support**model**[edit]. The most influential**model**in OHP research has been the original demand-control**model**.[1] ... Effort-reward imbalance**model**[edit]. After the DCS**model**, the, perhaps, second most influential**model**in OHP research has been ... In the JD-R**model**, the category of demands (workload) remains more or less the same as in the DCS**model**although the JD-R**model**...###### Pleiotropy

... was first implied by Ronald Fisher's Geometric

**Model**in 1930. This**mathematical****model**illustrates how evolutionary fitness ...**Models**for the origin[edit]. One basic**model**of pleiotropy's origin describes a single gene locus to the expression of a ... Other more complex**models**compensate for some of the basic**model's**oversights, such as multiple traits or assumptions about how ... Traditionally,**models**of pleiotropy have predicted that evolutionary rate of genes is related negatively with pleiotropy - as ...###### Data compression

**Models**of the human ear-brain combination incorporating such effects are often called psychoacoustic

**models**.[23] ... Claude Elwood Shannon (1948), Alcatel-Lucent, ed., "A

**Mathematical**Theory of Communication" (in German), Bell System Technical ... The perceptual

**models**used to estimate what a human ear can hear are generally somewhat different from those used for music. ... Faxin Yu; Hao Luo; Zheming Lu (2010). Three-Dimensional

**Model**Analysis and Processing. Berlin: Springer. p. 47. ISBN ...

###### Mineralogy

Together, they make up a

**mathematical**object called a crystallographic point group or crystal class. There are 32 possible ... The**model**predicts that thousands more mineral species may await discovery or have formed and then been lost to erosion, burial ...###### Dieting

Some groups are

**modelled**on twelve-step programs, while others are quite informal. Some groups advocate certain prepared foods ... The glycemic load is "the**mathematical**product of the glycemic index and the carbohydrate amount".[48] ... Banting's pamphlet was popular for years to come, and would be used as a**model**for modern diets.[13] The pamphlet's popularity ...###### Super-Kamiokande

Beyond the Standard

**Model**. Simulated Large Hadron Collider CMS particle detector data depicting a Higgs boson produced by ... The proton is assumed to be absolutely stable in the Standard**Model**. However, the Grand Unified Theories (GUTs) predict that ... this discovery indicates the finite mass of neutrinos and suggests an extension of the Standard**Model**. Neutrinos oscillate in ...**Mathematical**universe hypothesis. *Grand Unified Theory. *Technicolor. *Kaluza-Klein theory. *Quantum field theory ...###### Philosophical Transactions of the Royal Society

In 1897, the

**model**of collective responsibility for the editing of the Transactions was emphasized by the re-establishment of ...**Mathematical**, Physical and Engineering Sciences) and the other focusing on the life sciences (Philosophical Transactions of the ... He later founded the American Philosophical Society in Philadelphia, closely**modelled**on the Royal Society. ...**Mathematical**, Physical and Engineering Sciences. 240 (817): 219-250. Bibcode:1947RSPTA.240..219L. doi:10.1098/rsta.1947.0002.. ...###### University of Cambridge - Simple English Wikipedia, the free encyclopedia

The Turing machine, a basic

**model**for computation, by Alan Turing. *The structure of DNA, by Francis Crick and James D. Watson ... For example, there is a story about the**Mathematical**Bridge in Queen's College. Newton built it without using any bolts or ... "Cambridge**Mathematical**Tripos: Wooden Spoons". University of Cambridge. Retrieved 21 December 2012.. ... "The**Mathematical**Gazette (The**Mathematical**Assoc.) 19 (234): 166. https://www.jstor.org/stable/3605871?seq=5. Retrieved 9 ...**mathematical** **modeling** | PNAS

Dynamic

**model**for the coordination of two enhancers of broad by EGFR signaling Lily S. Cheung, David S. A. Simakov, Alisa Fuchs ...**Modeling**shows that the NS5A inhibitor daclatasvir has two modes of action and yields a shorter estimate of the hepatitis C ... Experimentally calibrated population of**models**predicts and explains intersubject variability in cardiac cellular ...**Mathematical** **modeling**

In general

**models**are used to understand the behaviour of complex systems. In this way properties of the system or its ...**Mathematical****modelling**deals with**modelling**and analyzing various types of biomedical systems. ...**Mathematical****modeling**.**Mathematical****modelling**deals with**modelling**and analyzing various types of biomedical systems. In ... Stochastic**models**Stochastic**models**of biological systems that involve only limited numbers of molecules. In such cases it may ...**Mathematical** **Modeling** Predicts Response to Herceptin

Cancer researchers are turning to

**mathematical****models**to help answer important clinical questions, and a new paper in ... Furthermore, using the**mathematical****modeling**techniques, the absence of PTEN was more predictive than could be determined using ... Cancer researchers are turning to**mathematical****models**to help answer important clinical questions, and a new paper in Cancer ... For the current study, Faratian and colleagues built a**mathematical****model**that used 56 differential equations to analyze the ...###### Consolidated **mathematical** growth **Model** of Breast Cancer CoMBreC

Keyphrases: breast cancer, exponential growth

**model**,**mathematical****model**, metastases in lymph nodes, Mortality, primary ... inproceedings{WDAM-2017:Consolidated_**mathematical**_growth_**Model**, author = {Ella Tyuryumina}, title = {Consolidated**mathematical**... Consolidated**mathematical**growth**Model**of Breast Cancer CoMBreC. 24 pages•Published: June 4, 2018. Ella Tyuryumina ... It may help to improve predicting accuracy of BC process using an original**mathematical****model**referred to CoMBreC and ...###### The Tool - **Mathematical** **Modeling** | SpringerLink

**Models**can be divided into physical

**models**- small scale, laboratory representations of the phenomena (e.g., wind tunnel,... ... Air quality

**modeling**is an essential tool for most air pollution studies. ... Air quality

**modeling**is an essential tool for most air pollution studies.

**Models**can be divided into * physical

**models**- small ...

**mathematical**

**models**- a set of analytical/numerical algorithms that describe the physical and chemical aspects of the problem ...

**Mathematical** **Modeling** Guidelines

... Editorial criteria for

**mathematical**, economic, and statistical manuscripts. ***Mathematical**, ... For statistical**models**, a table of results should provide the results of all the variables used in the**model**, the statistical ... Purely conceptual**modeling**papers, for example, are unlikely to be of immediate and practical value to our intended audience.. ... In the main text, and in diagrams and tables associated with the main text,**mathematical**notations should be kept to a minimum. ...###### COVID-19 **Mathematical** **Modeling** | COVID-19 | CDC

###### The **Mathematical** **Model** of the Mind | EurekAlert! Science News

Professor Yoram Barams latest publication was motivated by a realization that it is the synergy of certain

**mathematical**... The**Mathematical****Model**of the Mind A must read for anyone interested in theoretical studies of cortical microcircuits ... In recent years he has been working on a**mathematical**theory of dynamics and information coding in neurobiological systems, and ... The clinically tested effects of the underlying**mathematical**concepts on sensorimotor control in healthy as well as ...**Mathematical** **model** - definition of **Mathematical** **model** by The Free Dictionary

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**Mathematical**

**model**. a standard or example for imitation; exemplary: a

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###### A **mathematical** **model** of the human external respiratory system. | RAND

... respiratory function to illustrate the thesis that important subsystems of the human body can be studied by

**mathematical**... The results of a**mathematical**simulation of the external ... A**mathematical****model**of the human external respiratory system. ... A**mathematical****model**of the human external respiratory system., Santa Monica, Calif.: RAND Corporation, RM-2519, 1959. As of ... The**model**constructed shows the process occurring when air is breathed and mixed with venous blood in the lungs, which results ...**Mathematical** **Model** of Quorum Sensing and Biofilm | SpringerLink

Second

**model**, we introduce two different types of the bacterial communication process within a**mathematical**framework, which is ... Ward, P. J., King, R. J., Koerber, J. A., Williams, P., Croft, M. J., & Sockett, E. R. (2001).**Mathematical****modelling**of quorum ... In this present chapter, we present two different**mathematical**frameworks of bacterial communication system. The first**model**is ... Majumdar S., Roy S. (2018)**Mathematical****Model**of Quorum Sensing and Biofilm. In: Pallaval Veera Bramhachari (eds) Implication ...**Mathematical** **Models** in Epidemiology | Fred Brauer | Springer

... with

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###### SIAM: The 2003 **Mathematical** Contest in **Modeling**

The 2003

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I think its not often appreciated that

**mathematical****modeling**is an art. A good**model**is predictive and useful, but also offers ... The Art of**Mathematical****Modeling**. By Catherine Crawley, Biological Synthesis 16 August 2013. ... Chris Remien, whose**mathematical****modeling**sheds new light on biomarkers--measurable characteristics (such as the presence of ... If we are clever enough,**mathematical****models**can be used to gain information on things that are impossible to measure directly ...**Mathematical** **Modeling** | Argonne National Laboratory

Below is a list of all articles, highlights, profiles, projects, and organizations related specifically to

**mathematical**... Getting in Sync:**Mathematical****Modeling**of Decision Making Socio-Technical Systems DIS Seminar ... Sub-Grid**Model**Development for Large-Eddy Simulations Using Artificial Neural Networks MCS Seminar ... Below is a list of all articles, highlights, profiles, projects, and organizations related specifically to**mathematical**...**Mathematical** **Models** for Malware Propagation

... Call for Papers. The dramatic increase in network services through new paradigms- ... the design and computational implementation of

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###### A **Mathematical** **Model** for the Dynamics of Hepatitis C

Analysis of the

**model**reveals the existence of two equilibrium states, the uninfected state in which no virus is present and an ... We formulate a**model**to describe the dynamics of hepatitis C virus (HCV) considering four populations: uninfected liver cells, ... A**Mathematical****Model**for the Dynamics of Hepatitis C,. Computational and**Mathematical**Methods in Medicine,. vol. 4. ,. Article ... A**Mathematical****Model**for the Dynamics of Hepatitis C. R. Avendano. ,1 L. Esteva,2 J. A. Flores. ,2 J. L. Fuentes Allen. ,3 G. ...###### Bayesian Time Series **Models** | **Mathematical** Association of America

Change-Point

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Bayesian

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... Dr. Plamen L. Simeonov Tue, 29 Mar 2016 04:43:54 -0700 ... I am thankful to Lou for his response on my question about using adequate "resonant" methods to

**model**developmental biology, ... I am thankful to Lou for his response on my question about using adequate "resonant" methods to**model**developmental biology, ... Coming back to Pivars speculative mechano-topological**model**of life excluding genetics I wish to turn your attention to ...###### A **mathematical** **model** for marine dinoflagellates blooms

We prove the

**mathematical**well-posedness of the**model**and the possibility of extinction in finite time of the alga form meaning ... p style=text-indent:20px;,We present a**model**for the life cycle of a dinoflagellate in order to describe blooms. ... Keywords:**Models**for algal red tide,**mathematical****model**in biology, systems of non linear partial differential equations, ... A**mathematical****model**for marine dinoflagellates blooms. M. Dambrine 1, , B. Puig 1, and G. Vallet 2, ...###### Chapter 8: Integer programming - **Model** Building in **Mathematical** Programming, 5th Edition [Book]

Sometimes such a

**model**consists solely of integer … - Selection from**Model**Building in**Mathematical**Programming, 5th Edition [ ... Chapter 8 Integer programming 8.1 Introduction A surprisingly wide class of practical problems can be**modelled**using integer ...**Model**Building in**Mathematical**Programming, 5th Edition by Get**Model**Building in**Mathematical**Programming, 5th Edition now with ... Sometimes such a**model**consists solely of integer variables. That is a pure integer programming (PIP)**model**. More commonly, ...**Mathematical** **Model** May Result In Better Environment Measures For The Baltic - Redorbit

I have helped develop a

**mathematical****model**for the marine systems of the Baltic Sea.**Modelling**tools of this type can and ...**Mathematical****Model**May Result In Better Environment Measures For The Baltic. by Sam Savage ...**Mathematical****models**are the only tools that can determine the relative significance of such processes. ...**Model**results show that natural variations in climate are of great significance for the oxygen status of the deep water of the ...###### Viral Dynamics **Mathematical** **Modeling** Training | Center for AIDS Research

Viral Dynamics

**Mathematical****Modeling**Training The Viral Dynamics Primer is intended to introduce the concepts of viral dynamics ... Description: Introduction to most basic**models**used in both HIV and hepatitis. Most other**models**in the literature are ...**Modeling**and estimation of replication fitness of human immunodeficiency virus type 1 in vitro experiments by using a growth ...**Modelling**how ribavirin improves interferon response rates in hepatitis C virus infection. Dixit NM, Layden-Almer JE, Layden T ...###### Wiley: **Mathematical** **Modeling** with Multidisciplinary Applications - Xin-She Yang

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###### Prioritizing COVID-19 Contact Tracing **Mathematical** **Modeling** Methods and Findings | CDC

The page presents emerging

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Theoretical points include

**model**design,**model**complexity and validation in the light of available data, as well as control ... The sensitivity-based approaches for examining**model**identifiability are illustrated by means of specific**modeling**examples. ... Practical examples illustrate**model**development at various levels of complexity based on given physiological information. ... The themes presented address the current problem of patient-specific**model**adaptation in the clinical setting, where data is ...Differential equationsEquationsMethodsBiologyInternational Journal of Mathematical ModellingMathematicsSimulationLinear algebraDescribePhenomenaStochasticResearchersAlgorithmsOptimizationSciences2018Assumptions2017Computer simulationsEpidemiologyTheoreticalBiologicalDynamicsBiosciencesPredictAnalyzeCourses in mathematicalPhysics2019MathematicallySimple mathematical modelPredictsBehaviorDevelop mathematicalApplicationsDiscreteResearchBuilt a mathematicalExamplesProcessesAnalysisExperimentalQuantitativeResultsBehaviourComputationsYear'sPresent mathematicalSound mathematicalSystemsCentreToolsChronicDeterministicTheoryTumorMetabolismKineticsProgression

###### Differential equations15

- For the current study, Faratian and colleagues built a mathematical model that used 56 differential equations to analyze the change in concentrations of 56 separate biological entities including proteins and lipid second messengers. (prweb.com)
- Dynamic models typically are represented by differential equations or difference equations. (wikipedia.org)
- The mathematical models are ordinary or partial differential equations and models for experimental errors. (chalmers.se)
- The book concentrates on two modeling paradigms: the macroscopic, in which the authors describe phenomena in terms of time evolution via ordinary differential equations, and the microscopic, which requires knowledge of random events and probability. (worldcat.org)
- The goals of this course are: (i) Critical understanding of the use of differential equation methods in mathematical biology and (ii) Exposure to specialized mathematical and computational techniques which are required to study ordinary differential equations that arise in mathematical biology. (umich.edu)
- The answer springs directly from the fact that it is very rare to find a book that covers modeling with all types of differential equations in one volume. (routledge.com)
- The book also contains a chapter on discrete modeling, consisting of differential equations, making it a complete textbook on this important skill needed for the study of science, engineering, and social sciences. (routledge.com)
- The model is then reduced to a system of four partial differential equations, which are investigated analytically and numerically. (biomedsearch.com)
- See how differential equations might be used to make a realistic model of a system containing predators and their prey. (maths.org)
- The transition rates from one class to another are mathematically expressed as derivatives, hence the model is formulated using differential equations. (wikipedia.org)
- In this study, we present a mathematical model based on ordinary differential equations (ODE) to describe tumor-induced immunosuppression caused by MDSCs. (ebi.ac.uk)
- The continuous model consists of a system of nonlinear partial differential equations describing the initial migratory response of endothelial cells to the TAF and the fibronectin. (nih.gov)
- We then use a discretized form of the partial differential equations to develop a biased random-walk model which enables us to track individual endothelial cells at the sprout tips and incorporate anastomosis, mitosis and branching explicitly into the model. (nih.gov)
- It requires the standard mathematical background (calculus, differential equations, numerical methods) as taught at undergraduate/MSc level. (uhasselt.be)
- Our aim is to devise a mathematical model, based on partial differential equations, which is able to provide realistic 12-lead ECGs. (inria.fr)

###### Equations14

- In the main text, equations should be kept to a minimum, and those that are presented should preferably be written out in words rather than mathematical notation. (cdc.gov)
- Nonlinear evolution equations associated with mathematical models. (aimsciences.org)
- From a class of kinetic models to the macroscopic equations for multicellular systems in biology. (aimsciences.org)
- In the physical sciences, a traditional mathematical model contains most of the following elements: Governing equations Supplementary sub-models Defining equations Constitutive equations Assumptions and constraints Initial and boundary conditions Classical constraints and kinematic equations Mathematical models are usually composed of relationships and variables. (wikipedia.org)
- In a mathematical programming model, if the objective functions and constraints are represented entirely by linear equations, then the model is regarded as a linear model. (wikipedia.org)
- It considers general modelling techniques, explains basic underlying physical laws and shows how to transform them into a set of mathematical equations. (worldcat.org)
- The mathematical equations for particles are a bit different than for players in the Battle of the Sexes, but the mathematical analysis of their behaviour as a network is very similar. (uu.nl)
- This is a ODE-based mathematical model featuring equations describing the dynamics of tumor cells, cytotoxic T cells, natural killer cells, and myeloid-derived suppressor cells (MDSCs) that together describe the tumor-induced immunosuppression caused by MDSCs. (ebi.ac.uk)
- The model consists of four equations and incorporates tumor cells, cytotoxic T cells (CTLs), natural killer (NK) cells and MDSCs. (ebi.ac.uk)
- It uses mathematical equations to describe the spread of the infection through the tissue, incorporating a broad range of subcellular processes and immune system responses. (ntu.ac.uk)
- The "Windy Hill" model makes use of the anisotropic Fisher equation, one of the "most important equations in mathematical biology," to predict the progression of Alzheimer's, he said. (stanforddaily.com)
- The series of lectures provide appropriate techniques for a rational derivation of macro-scale models (involving effective coefficients and equations) starting from the micro scale models (posed in complex media, or involving rapidly changing characteristics). (uhasselt.be)
- The main ingredients of this model are classical: the bidomain equations coupled to a phenomenological ionic model in the heart, and a generalized Laplace equation in the torso. (inria.fr)
- The available reaeration rate coefficient equations developed for nontidal systems and applied in modeling DO in tidal estuaries do not fully represent the tidal estuaries. (asce.org)

###### Methods13

- Receive email alerts on new books, offers and news in Mathematical modelling and methods. (cambridge.org)
- Although the scientific approach to combat malware is mainly focused on the design of efficient methods to detect all types of malware, the design and computational implementation of mathematical models to simulate its propagation are also a very important task. (hindawi.com)
- R. Dautray and J.-L. Lions, Mathematical Analysis and Numerical Methods for Science and Technology , 5, Evolution problems. (aimsciences.org)
- Such methods of modelling are described in the next chapters. (oreilly.com)
- The book combines a variety of applications from diverse fields to illustrate how the methods can be used to model physical processes, design new products, find solutions to challenging problems, and increase competitiveness in international markets. (wiley.com)
- Our optimization research involves development of new mathematical formulations, underlying theory, and methods for solving optimization problems arising in control, data assimilation, experimental design, inverse problems, and machine learning. (anl.gov)
- Such multiscale modeling requires multi- and interdisciplinary research methods, that will facilitate transfer of knowledge from fundamental science to application in industry. (lboro.ac.uk)
- Yet, the underlying assumptions, methods and results of mathematical modelling require careful scrutiny by policy-makers and a realistic appraisal as to whether the performance benchmarks are achievable and at what costs. (cmaj.ca)
- Like any research exercise, the underlying assumptions, methods and results of modelling require careful scrutiny. (cmaj.ca)
- We use mathematical methods to develop general guidelines on optimal cyclic treatment scheduling, with the aim of minimizing the resistance generation. (aimsciences.org)
- Models Methods Appl. (aimsciences.org)
- Mathematical modelling for physics and engineering , Mathematical Biology , Numerical methods and Scientific Computing . (univ-lyon1.fr)
- Empirical methods exist for the determination of the hydrodynamic characteristics in these models. (marin.nl)

###### Biology17

- Carlos Castillo-Chavez is a Regents Professor, Joaquin Bustoz Jr. Professor of Mathematical Biology, Distinguished Sustainability Scientist and Founding Director of the Simon A. Levin Mathematical, Computational and Modeling Sciences Center at ASU. (springer.com)
- She is an editor for Journal of Theoretical Biology, Mathematical Biosciences, Mathematical Biosciences and Engineering, Journal of Biological Dynamics, and SIAM Journal on Applied Mathematics. (springer.com)
- She is a program director for the NSF Mathematical Biology Program 2019-2020. (springer.com)
- Visualisation of the numerical solution of partial differential equation systems in three space dimensions and its importance for mathematical models in biology. (aimsciences.org)
- Mathematical models are used in the natural sciences (such as physics, biology, earth science, chemistry) and engineering disciplines (such as computer science, electrical engineering), as well as in non-physical systems such as the social sciences (such as economics, psychology, sociology, political science). (wikipedia.org)
- As biology increasingly depends on data, algorithms, and models, it has become necessary to use a computing language, such as the user-friendly MapleTM, to focus more on building and analyzing models as opposed to configuring tedious calculations. (wiley.com)
- Explorations of Mathematical Models in Biology with Maple provides an introduction to model creation using Maple, followed by the translation, analysis, interpretation, and observation of the models. (wiley.com)
- With an integrated and interdisciplinary approach that embeds mathematical modeling into biological applications, the book illustrates numerous applications of mathematical techniques within biology, ecology, and environmental sciences. (wiley.com)
- Explorations of Mathematical Models in Biology with Maple is an ideal textbook for undergraduate courses in mathematical models in biology, theoretical ecology, bioeconomics, forensic science, applied mathematics, and environmental science. (wiley.com)
- Dr. Shahin is the author of Explorations of Mathematical Models in Biology with MATLAB®, also published by Wiley. (wiley.com)
- Mathematical models have become an indispensable tool in ecology and evolutionary biology, to the point that aspiring scientists in these fields must have a working knowledge of basic mathematical modeling techniques. (rug.nl)
- Moreover, they should know of and understand the application of more complex dynamic models in biology. (wur.nl)
- Mathematical biology is a fast growing and exciting modern application of mathematics that has gained world- wide recognition. (umich.edu)
- Mathematical models in biology, Author: Leah Edelstein-Keshet. (umich.edu)
- To further understand the complexity of the underlying mechanisms of both the adipocytes as well as the macrophages, mathematical models are being developed in the fields of systems biology. (diva-portal.org)
- The research on mathematical biology made by the MMCS team is strongly motivated by modelling. (univ-lyon1.fr)
- A substantial part of the mathematical biology research is associated with the Inria Dracula team. (univ-lyon1.fr)

###### International Journal of Mathematical Modelling1

- He is Editor-in-Chief of the International Journal of Mathematical Modelling and Numerical Optimisation, a member of both the Society for Industrial and Applied Mathematics and the British Computer Society, a Fellow of The Royal Institution of Great Britain, and author of seven additional books and over 100 journal articles. (wiley.com)

###### Mathematics17

- For the benefit of public health professionals whose contact with mathematics may not be recent, there is an appendix covering the necessary mathematical background. (springer.com)
- He has been active in the China - Canada Joint Program on Infectious Diseases and in the organization of several summer programs organized by MITACS ( Mathematics for Information Technology and Complex Systems) to present mathematical epidemiology to a mixed audience of mathematicians and public health professionals and encourage contacts between these groups. (springer.com)
- Mathematical Modeling with Multidisciplinary Applications is an excellent book for courses on mathematical modeling and applied mathematics at the upper-undergraduate and graduate levels. (wiley.com)
- Argonne's Mathematics and Computer Science Division is developing models, theory, algorithms, and scalable implementations to build a rigorous mathematical foundation for addressing scientific and engineering challenges. (anl.gov)
- Mathematical Models: From the Collections of Universities and Museums - Photograph Volume and Commentary is a book on the physical models of concepts in mathematics that were constructed in the 19th century and early 20th century and kept as instructional aids at universities. (wikipedia.org)
- Gardiner writes that the photographs may be useful in undergraduate mathematics lectures, while the commentary is best aimed at mathematics professionals in giving them an understanding of what each model depicts. (wikipedia.org)
- Gardiner also suggests using the book as a source of inspiration for undergraduate research projects that use its models as starting points and build on the mathematics they depict. (wikipedia.org)
- ICTMA is a worldwide unique group, in which not only mathematics educators aiming for education at school level are included but also applied mathematicians interested in teaching and learning modelling at tertiary level are represented. (springer.com)
- In a paper published today in the SIAM Journal on Applied Mathematics, the authors describe a mathematical model for imaging tumors in the breast using microwave tomography. (siam.org)
- Models use basic assumptions or collected statistics along with mathematics to find parameters for various infectious diseases and use those parameters to calculate the effects of different interventions, like mass vaccination programmes. (wikipedia.org)
- If a model makes predictions that are out of line with observed results and the mathematics is correct, the initial assumptions must change to make the model useful. (wikipedia.org)
- Mathematical modelling is often spoken of as a way of life, referring to habits of mind and to dependence on the power of mathematics to describe, explain, predict and control real phenomena. (researchandmarkets.com)
- This course focuses on Mathematical Modelling, i.e. the ability to model various phenomena in terms of mathematics. (lth.se)
- Chair of mathematical modeling at Oxford University Alain Goriely discussed how mathematics could be used to better model neurodegenerative diseases in a Thursday evening presentation, part of the Stanford Math Department's public lecture series. (stanforddaily.com)
- The research performed by the Mathematical Modelling and Scientific Computing (MMCS) team is concerned with applied mathematics and their interactions, with the following objectives : understanding phenomena through modeling, doing a mathematical and numerical analysis of the models, and building efficient algorithms for computer simulations. (univ-lyon1.fr)
- The Fields Institute promotes mathematical activity in Canada and helps to expand the application of mathematics in modern society. (utoronto.ca)
- Theoretical mathematical models can help analyze viral dynamics in this early phase, and hence offer insights into therapeutic and prevention strategies , as evidenced by a paper published last month in the SIAM Journal on Applied Mathematics . (phys.org)

###### Simulation11

- The results of a mathematical simulation of the external respiratory function to illustrate the thesis that important subsystems of the human body can be studied by mathematical programming techniques that have been used to program and control complex military and industrial systems. (rand.org)
- The course focuses on mathematical modelling and computer simulation of nerve cells, neuronal networks and other physiological and biochemical structures and processes. (kth.se)
- The microbial behaviour in response to meropenem over 5 days was predicted via computer simulation and subsequently validated using an in vitro hollow fibre infection model. (nih.gov)
- International Journal of Simulation Modelling , 19(3), 434-445. (eurekalert.org)
- Researchers at the National Institutes of Health have created a mathematical model - and an accompanying online weight simulation tool - of what happens when people of varying weights, diets and exercise habits try to change their weight. (medindia.net)
- The online simulation tool based on the model enables researchers to accurately predict how body weight will change and how long it will likely take to reach weight goals based on a starting weight and estimated physical activity. (medindia.net)
- Each plot shows the heat-stress temperature at the top, experimental data ( circles ), our model simulation ( solid line ), and model simulation of Petre et al. (nih.gov)
- We also provide simulation models that evaluate or predict the effects of anti-MDSC drugs (e.g., l-arginine and 5-Fluorouracil (5-FU)) on the tumor growth and the restoration of anti-tumor immunity. (ebi.ac.uk)
- Applied Mathematical Modeling, Nonlinear Analysis, and Computer Simulation in Engineering and Science. (maplesoft.com)
- Modelling and simulation of lubrification ( G. Bayada, M. Boukrouche, S. Ciuperca, M. Jai ). (univ-lyon1.fr)
- Mathematical Modelling and Simulation of Pneumatic Systems, Advances in Computer Science and Engineering Matthias Schmidt, IntechOpen, DOI: 10.5772/15313. (intechopen.com)

###### Linear algebra2

- Our work in mathematical modeling includes strong multidisciplinary research projects encompassing linear algebra, adjoint-based techniques, and uncertainty quantification for stochastic systems. (anl.gov)
- Depending on the students' background knowledge, sometimes during these meetings a "remedial" lecture of one or two hours is given about particular mathematical (e.g. linear algebra) or technical (e.g. (rug.nl)

###### Describe8

- We formulate a model to describe the dynamics of hepatitis C virus (HCV) considering four populations: uninfected liver cells, infected liver cells, HCV and T cells. (hindawi.com)
- We present a model for the life cycle of a dinoflagellate in order to describe blooms. (aimsciences.org)
- The Kermack-McKendrick epidemic model (1927) and the Reed-Frost epidemic model (1928) both describe the relationship between susceptible , infected and immune individuals in a population. (wikipedia.org)
- A mathematical model uses mathematical language to describe a system. (medicalxpress.com)
- In this paper we present both continuous and discrete mathematical models which describe the formation of the capillary sprout network in response to chemical stimuli (tumor angiogenic factors, TAF) supplied by a solid tumor. (nih.gov)
- We are now in a position whereby mathematical models can be used to describe what we know about chlamydia and its progression in the body. (ntu.ac.uk)
- The central part of their new work is to describe the mathematical properties of a system that can store integrated information in this way but without it leaking away. (medium.com)
- Because of this, a first model will be presented which is able to describe the mechanisms of insulin resistance development caused by chronic inflammation. (diva-portal.org)

###### Phenomena1

- Created mathematical model permits to inves tigate the transient phenomena. (actapress.com)

###### Stochastic8

- Topics covered include spatial, delayed, and stochastic modeling. (routledge.com)
- A stochastic model is a tool for estimating probability distributions of potential outcomes by allowing for random variation in one or more inputs over time. (wikipedia.org)
- Stochastic models depend on the chance variations in risk of exposure, disease and other illness dynamics. (wikipedia.org)
- Most of the studies of the team use deterministic models, but others also include stochastic approaches (diffusion limits, regularization by noise). (univ-lyon1.fr)
- The programme is based on two frameworks: the Stochastic Opponent Modeling Agents (SOMA) and the multiplayer game theory models. (hindustantimes.com)
- In a paper titled "Stochastic Analysis of Pre- and Postexposure Prophylaxis against HIV Infection ," authors Jessica Conway, Bernhard Konrad, and Daniel Coombs present theoretical models of HIV dynamics immediately following exposure to the virus, thus providing a method to study infection and treatment at these early stages, as well as come up with preemptive strategies for prevention. (phys.org)
- The authors create stochastic models to analyze viral dynamics and to understand how protective or preventative drug treatment prior to or immediately following exposure can act to reduce risk of infection under various scenarios. (phys.org)
- We used stochastic models to investigate different choices of treatment strategies for both PEP and PrEP. (phys.org)

###### Researchers13

- Cancer researchers are turning to mathematical models to help answer important clinical questions, and a new paper in Cancer Research, a journal of the American Association for Cancer Research , illustrates how the technique may answer questions about Herceptin resistance. (prweb.com)
- Using mathematical modeling, researchers discovered that the cholesterol in cell membranes can accelerate the aggregation of the protein amyloid-β42, a key pathological hallmark in Alzheimer's disease. (pcrm.org)
- Using this physics approach to study the problem, the researchers have found a mathematical standard for how the clustering within the network determines the behaviour of the network as a whole. (uu.nl)
- To test the model, the researchers compared predicted weight changes to actual changes in people. (medindia.net)
- Researchers at the Icahn School of Medicine at Mount Sinai have created the first mathematical model that can predict how a cancer patient will benefit from certain immunotherapies, according to a study published in Nature. (medicalxpress.com)
- The objective is to gather a multidisciplinary group of researchers and practioners working in mathematical aspects of commodities and calibration. (impa.br)
- According to the mathematical model developed by the researchers, this happens when the cells divide fast, with rapid, off-balance growth of cells. (phys.org)
- Researchers at the Niels Bohr Institute, University of Copenhagen, have developed a new mathematical tool to characterize what happens when cells lose their polarity (direction) in diseases such as cancer. (phys.org)
- The researchers found that by changing one of two polarities in the model, they were able to simulate a rich diversity of shapes. (phys.org)
- You could help researchers understand the genetics, and potential links, between mathematical talent and autism. (maths.org)
- Mathematical Modeling of Biofilms gives a state-of-the-art overview that is especially valuable for educating students, new biofilm researchers, and design engineers. (iwapublishing.com)
- The report provides the foundation for researchers seeking to use biofilm modeling or to develop new biofilm models. (iwapublishing.com)
- This summer school is dedicated to introducing researchers to the basic techniques of computational and mathematical modelling from the ground up and in a hands-on manner. (psychonomic.org)

###### Algorithms5

- Mathematical Modeling with Multidisciplinary Applications details the interdisciplinary nature of mathematical modeling and numerical algorithms. (wiley.com)
- Knuth has written a series of books that give very detailed and exact analyses within a particular computer model for a wide range of algorithms. (coursera.org)
- So, from Knuth, we know that in principle, we can get accurate mathematical models for the performance of algorithms or programs in operation. (coursera.org)
- Such modelling procedure goes hand in hand with calibration algorithms. (impa.br)
- the mathematical and numerical analysis and the construction of efficient algorithms for computer simulations. (univ-lyon1.fr)

###### Optimization5

- XIN-SHE YANG, PhD, is Senior Research Scientist in the Department of Mathematical and Scientific Computing at the National Physical Laboratory in the United Kingdom, Reader in Modeling and Optimization at Middlesex University, UK, and Adjunct Professor at Reykjavik University, Iceland. (wiley.com)
- Such problems include mixed-integer optimization, optimization under uncertainty, derivative-free optimization, multilevel optimization, complementarity problems, and optimization applied to game theoretic models. (anl.gov)
- In this presentation, we discuss the different optimization models arising in humanitarian relief operations. (utoronto.ca)
- Firstly, we discuss the different features in humanitarian relief operations that will affect the optimization models. (utoronto.ca)
- We conclude that there are a lot of interesting open problems in optimization modeling and solution in humanitarian logistics. (utoronto.ca)

###### Sciences3

- Modelling tools of this type can and should make a contribution as a basis for decisions on environmental measures in the area," says Erik Gustafsson at the Department of Earth Sciences of the University of Gothenburg. (redorbit.com)
- MAZEN SHAHIN, PhD, is Professor in the Department of Mathematical Sciences at Delaware State University. (wiley.com)
- As part of the cooperation program between IMPA and Petrobras and under the general umbrella of the subject of Real Options, the research group of Analysis and Mathematical Modelling in the Applied Sciences is organizing at IMPA a small workshop on the subject of Modelling and Calibration in Commodities and Energy. (impa.br)

###### 20181

- K. Flynn and D. McGillicuddy, Modelling Marine Harmful Algal Blooms: Current Status and Future Prospects , Harmful Algal Blooms: A Compendium Desk References, 3, John Wiley & Sons Ltd, 2018. (aimsciences.org)

###### Assumptions7

- We included some assumptions in the model, so the question is to what degree they correspond with reality", Buskens adds. (uu.nl)
- 2.critically assess the simplifying assumptions implicit in mathematical models of biological systems. (rug.nl)
- 4.translate mathematical properties of models into relevant biological conclusions and how the conclusions are affected by specific model assumptions. (rug.nl)
- An article demonstrating mathematically how various physical modelling assumptions affect the solution to the seemingly simple problem of the projectile. (maths.org)
- Models are only as good as the assumptions on which they are based. (wikipedia.org)
- The more complex the model, the longer the list of assumptions about such elements as test performance, expected outcomes, resources and costs. (cmaj.ca)
- Further, it is common that the methodologic rigour of the model is not as evident in the manner in which model assumptions and inputs are chosen, which too often are not derived from systematic reviews and thus choices may be debatable. (cmaj.ca)

###### 20171

- inproceedings{WDAM-2017:Consolidated_mathematical_growth_Model, author = {Ella Tyuryumina}, title = {Consolidated mathematical growth Model of Breast Cancer CoMBreC}, booktitle = {WDAM-2017. (easychair.org)

###### Computer simulations4

- The processes involved are highly non-linear and may be almost impossible to dissect without the aid of mathematical modeling and computer simulations ( 2 ). (frontiersin.org)
- Ohio State physics doctoral student Tsunglin Liu is working with Bundschuh to estimate how many base units would be required for computer simulations of more realistic RNA models, in order to observe the molten or glassy state. (scienceblog.com)
- The theoretical capillary networks generated by computer simulations of the discrete model are compared with the morphology of capillary networks observed in in vivo experiments. (nih.gov)
- For the prediction of the ship's manoeuvrability use is made of computer simulations based on mathematical models. (marin.nl)

###### Epidemiology3

- His research interests are in dynamical systems and mathematical models in epidemiology. (springer.com)
- O. Diekmann and J. A. P. Heesterbeek, "Mathematical Epidemiology of Infectious Diseases. (aimsciences.org)
- A mathematical epidemiology expert at Georgia State University School of Public Health has published a new framework for building mathematical models to better predict the trajectory of infectious disease outbreaks. (medicalxpress.com)

###### Theoretical8

- In many cases, the quality of a scientific field depends on how well the mathematical models developed on the theoretical side agree with results of repeatable experiments. (wikipedia.org)
- Lack of agreement between theoretical mathematical models and experimental measurements often leads to important advances as better theories are developed. (wikipedia.org)
- This volume synthesizes theoretical and practical aspects of both the mathematical and life science viewpoints needed for modeling of the cardiovascular-respiratory system specifically and physiological systems generally. (google.com)
- Theoretical points include model design, model complexity and validation in the light of available data, as well as control theory approaches to feedback delay and Kalman filter applications to parameter identification. (google.com)
- This book series will publish various books from different theoretical perspectives around the world focusing on Teaching and Learning of Mathematical Modelling at Secondary and Tertiary level. (springer.com)
- The book provides a theoretical background to guide the development of practical models and their investigation. (worldcat.org)
- Sociologists and theoretical physicists from Utrecht University have recently managed to create a theoretical model for this complex problem. (uu.nl)
- By exploring a multitude of theoretical scenarios in which the polarities were altered, the model was able to narrow down the focus to a few theories to be tested experimentally. (phys.org)

###### Biological9

- Chris Remien, a postdoctoral fellow at the National Institute for Mathematical and Biological Synthesis , uses math to better understand how biological markers relate to the diets of animals and how they metabolize nutrients and toxins. (livescience.com)
- Mathematical models provide a valuable means of advancing quantitative understanding of biological processes and improving our ability to predict response and performance. (wur.nl)
- In addition to the physical, chemical and biological processes which are crucial among other things for the plankton dynamics of the area, Gustafsson has included the marine carbon system in his model. (redorbit.com)
- These projects concern mathematical models of different biological systems, and in particular of the central metabolism of yeast and other simple organisms, of signalling pathways, and of the lipid metabolism and transport in blood. (chalmers.se)
- He develops and uses mathematical models as a "sandbox" for testing ideas about how key biological processes work. (hopkinsmedicine.org)
- 1.translate between verbal or written descriptions of biological systems and the corresponding mathematical models of the biological systems. (rug.nl)
- 3.analyze the dynamical and stability properties of mathematical models of biological systems, using a combination of pencil and paper and computer modelling software. (rug.nl)
- In this course, mathematical models that suggest possible mechanisms that may underlie specific biological processes are developed and analyzed. (umich.edu)
- By the end of this course students will be able to derive, interpret, solve, understand, discuss, and critique discrete and differential equation models of biological systems. (umich.edu)

###### Dynamics11

- Description: Hepatitis viral dynamics models, including effects of treatment. (washington.edu)
- The model developed is based on the methodology of system dynamics, a recognised way of dealing with problems related to dynamic processes, such as the supply chain. (eurekalert.org)
- However, the complex dynamics of this physiological response have eluded mathematical modeling efforts. (nih.gov)
- Although several computational models have attempted to characterize the heat-shock response, they were unable to model its dynamics across diverse experimental datasets. (nih.gov)
- Overall, this model represents a step forward in the quantitative understanding of the dynamics of the heat-shock response. (nih.gov)
- We consider a model of disease dynamics in the modeling of Human Immunodeficiency Virus (HIV). (aimsciences.org)
- An advanced mathematical exploration supporting our series of articles on population dynamics for advanced students. (maths.org)
- This is our collection of tasks on the mathematical theme of 'Population Dynamics' for advanced students and those interested in mathematical modelling. (maths.org)
- The research related to Mathematical modelling for physics and engineering performed in the MMCS team covers a large spectrum of problems : mechanics of structures, fluid mechanices, gas dynamics, and many interaction problems where several states of matter appear. (univ-lyon1.fr)
- The simple one-compartment model of HIV infection uses a mathematical formula that incorporates the dynamics between replication-competent and -incompetent viruses, as well as infected cells in the eclipse phase (when they do not produce virus) and in the productive phase (when they do). (phys.org)
- The complex (two-compartment) model is similar, but additionally incorporates different cell types and transport dynamics-two factors that are also important in the initiation of HIV infection. (phys.org)

###### Biosciences2

- Mathematical Biosciences & Engineering , 2006, 3 (4) : 571-582. (aimsciences.org)
- Mathematical Biosciences & Engineering , 2011, 8 (2) : 289-306. (aimsciences.org)

###### Predict10

- Computational power has reached the point where models that could previously only be used to predict weather patterns, space travel or the effect of nuclear explosions can now be used in the clinic to estimate the impact of certain drugs," said Merajver. (prweb.com)
- These models allow us not only to predict the evolutional behaviour of malware, but also to study the efficacy of possible countermeasures. (hindawi.com)
- Our results suggest that mathematical modelling may be used to predict microbial response to a large number of antimicrobial agent dosing regimens efficiently, and have the potential to be used to guide highly targeted investigation of dosing regimens in pre-clinical studies and clinical trials. (nih.gov)
- The objectives of the work are e.g. to estimate unknown model parameters from experiments and to predict the behaviour of the organisms that results form a change in parameters. (chalmers.se)
- In addition, our model was able to consistently predict the extent of damage produced by different combinations of exposure temperatures and durations, which were validated against known cellular-response patterns. (nih.gov)
- Another major emphasis of the course is illustrating how these models can be used to predict what may follow under currently untested conditions. (umich.edu)
- The modelling can help decide which intervention/s to avoid and which to trial, or can predict future growth patterns, etc. (wikipedia.org)
- The modeling of infectious diseases is a tool that has been used to study the mechanisms by which diseases spread, to predict the future course of an outbreak and to evaluate strategies to control an epidemic. (wikipedia.org)
- A network diffusion model is a mathematical way to predict how the disease would progress. (stanforddaily.com)
- Goriely emphasized that these mathematical models could not only be superimposed on functional models of the brain to predict the effect of neurodegenerative diseases, but also used to more quickly test treatment. (stanforddaily.com)

###### Analyze2

- The text emphasizes the development of computational skills to construct predictive models and analyze the results. (worldcat.org)
- In the study, Fluegge used mathematical models to analyze publicly available data on fluoride water levels and diabetes incidence and prevalence rates across 22 states. (news-medical.net)

###### Courses in mathematical1

- It provides excellent material for upper-level undergraduate and graduate courses in mathematical modelling. (worldcat.org)

###### Physics4

- The inspiration for the model and its analysis was provided by the field of physics. (uu.nl)
- In physics, you could model that by using an energy landscape and a temperature. (uu.nl)
- G. Giovannetti-Singh and S. Zhao, "Mathematical Modeling for Quantum Electron Wave Therapy," Journal of Modern Physics , Vol. 3 No. 3, 2012, pp. 221-223. (scirp.org)
- What makes Tononi's ideas different from other theories of consciousness is that it can be modelled mathematically using ideas from physics and information theory. (medium.com)

###### 20191

- Classic BioModels will remain accessible until 31 May 2019, but will not any more be updated with newly added models. (ebi.ac.uk)

###### Mathematically1

- The clinically tested effects of the underlying mathematical concepts on sensorimotor control in healthy as well as neurologically impaired humans are presented, along with basic mathematically-implied movement strategies in such beings as birds. (eurekalert.org)

###### Simple mathematical model2

- We propose a simple mathematical model for the early stages of this aggregation process, when cell clusters form on the surface of the extracellular matrix (ECM) layer on which they are seeded. (biomedsearch.com)
- Formulate and investigate a simple mathematical model for the design of a table mat. (maths.org)

###### Predicts1

- The model predicts that provided cells are seeded at a suitable density, aggregates with clearly defined boundaries and a spatially uniform cell density on the interior will form. (biomedsearch.com)

###### Behavior7

- The Subcritical Brain: A Synergy of Segregated Neural Circuits in Memory, Cognition and Sensorimotor Control was motivated by a realization that it is the synergy of certain mathematical concepts that holds the key to a more comprehensive and complete understanding of cortical function and behavior. (eurekalert.org)
- The child was modeling her mother's nurturing behavior. (thefreedictionary.com)
- A model may help to explain a system and to study the effects of different components, and to make predictions about behavior. (wikipedia.org)
- Next, we create mathematical models to explain their behavior. (coursera.org)
- The Kermack-McKendrick epidemic model was successful in predicting the behavior of outbreaks very similar to that observed in many recorded epidemics. (wikipedia.org)
- Recent years have seen an explosion in the use of mathematical models to integrate insights emerging from studies of the brain and behavior. (medicalxpress.com)
- Associated model enables to deter mine the behavior of state variables of cascade on system parameter variations. (actapress.com)

###### Develop mathematical2

- The Mission of the Centre is to develop mathematical models to generate fundamental understanding of matter on all scales ranging from the small microscopic to macroscopic scales. (lboro.ac.uk)
- This means the need to develop mathematical and computational modelling tools to improve understanding of the infection - and identify potential new therapies - is vital. (ntu.ac.uk)

###### Applications5

- Applied Mathematical Modelling is primarily interested in papers developing increased insights into real-world problems through novel mathematical modelling, novel applications or a combination of these. (elsevier.com)
- The proceedings of the biennial conference called ICTMA, organised by the ICMI affiliated Study Group ICTMA (International Community of Teachers of Mathematical Modelling and Applications) will also be published in this series. (springer.com)
- The emphasis is placed on common features of the modelling process in various applications as well as on complications and generalizations of models. (worldcat.org)
- Applications to modeling in the areas of AIDS, cancers and life longevity are investigated in this book. (elsevier.com)
- Such problems appear as mathematical models for many real-world applications. (uhasselt.be)

###### Discrete5

- The wide applicability of integer programming (IP) (sometimes known as discrete programming ) as a method of modelling is not obvious. (oreilly.com)
- The text provides real-life examples of discrete and continuous mathematical modeling scenarios. (routledge.com)
- Since mathematical modeling involves a diverse range of skills and tools, the author focuses on techniques that will be of particular interest to engineers, scientists, and others who use models of discrete and continuous systems. (routledge.com)
- The second model, "The Dish Loop," sought to take "Windy Hill" and make it faster by discretizing, a process of transforming continuous functions into discrete counterparts. (stanforddaily.com)
- Presented procedure is a proposition of mathematical modelling of discrete-continuous systems. (actapress.com)

###### Research11

- Sofia Merajver, M.D., Ph.D., scientific director of the Breast Oncology Program at the University of Michigan Comprehensive Cancer Center, and a senior editorial board member of Cancer Research, said the potential of mathematical oncology is nothing short of revolutionary. (prweb.com)
- These landmark papers now have a potential forum in the Mathematical Oncology section of Cancer Research, whose wide readership will help the new results reach the clinic. (prweb.com)
- The main purpose of this special issue is to provide both theoreticians and practitioners with a forum to present their research on the design, analysis, and implementation of models for malware spread and control. (hindawi.com)
- The modelling programme of ANU encompasses the main areas of ANU experimental research and deals with dairy cattle, pre-ruminant calves, pigs, and poultry. (wur.nl)
- Coupled biophysical numerical modeling, Journal of Geophysical Research: Oceans , 113 (2008). (aimsciences.org)
- The book also serves as a valuable reference for research scientists, mathematicians, and engineers who would like to develop further insights into essential mathematical tools. (wiley.com)
- Applied Mathematical Modelling focuses on research related to the mathematical modelling of engineering and environmental processes, manufacturing, and industrial systems. (elsevier.com)
- However, Goriely and his team, comprised of Stanford mechanical engineering professor Ellen Kuhl and German Center for Neurodegenerative Diseases (DZNE) clinical brain research director Mathias Jucker, sought to develop a different model: one that was more closely tied to the physical properties of the "toxic" proteins that caused the disease. (stanforddaily.com)
- The Fields Institute is a centre for mathematical research activity - a place where mathematicians from Canada and abroad, from academia, business, industry and financial institutions, can come together to carry out research and formulate problems of mutual interest. (utoronto.ca)
- With the dramatic evolution of the computational capacity still going on, modeling tools for research and practice will become more and more significant in the next few years. (iwapublishing.com)
- The instructors represent a broad range of expertise and are all research leaders in their field with extensive experience in teaching of modelling. (psychonomic.org)

###### Built a mathematical1

- To answer this question, we built a mathematical tool that can model two types of cell polarities and simulated how many cells organize themselves into folded sheets and organs. (phys.org)

###### Examples5

- Examples of application of kinetic models for describing in vitro gas production kinetics (rate of microbial substrate degradation), animal growth and lactation curves, and describing nutrient flows from the gut to productive tissues and nutrient metabolism. (wur.nl)
- Examples of mechanistic models of digestion and metabolism are a model of the fermentation processes in the rumen including methanogenesis, and N- and P emissions. (wur.nl)
- Practical examples illustrate model development at various levels of complexity based on given physiological information. (google.com)
- The sensitivity-based approaches for examining model identifiability are illustrated by means of specific modeling examples. (google.com)
- ICTMA discusses all aspects related to Teaching and Learning of Mathematical Modelling at Secondary and Tertiary Level, e.g. usage of technology in modelling, psychological aspects of modelling and its teaching, modelling competencies, modelling examples and courses, teacher education and teacher education courses. (springer.com)

###### Processes3

- Modelling digestive and metabolic processes in animals has a prominent standing within the Animal Nutrition Group (ANU). (wur.nl)
- Mathematical models are the only tools that can determine the relative significance of such processes. (redorbit.com)
- We can create and use mathematical models to study these processes. (hopkinsmedicine.org)

###### Analysis14

- Furthermore, using the mathematical modeling techniques, the absence of PTEN was more predictive than could be determined using standard multivariate or laboratory analysis. (prweb.com)
- On the other hand, mathematical analysis, characterized by absolute formality and accuracy, can, subject to parameterization, apply to neural circuits of different characteristics and functions, so as to simultaneously reveal small and large-scale cortical activities resulting in a large variety of outcomes. (eurekalert.org)
- The book is a comprehensive, self-contained introduction to the mathematical modeling and analysis of disease transmission models. (springer.com)
- Analysis of the model reveals the existence of two equilibrium states, the uninfected state in which no virus is present and an endemically infected state, in which virus and infected cells are present. (hindawi.com)
- 5.4 Analysis of variance models. (maa.org)
- 6.1 Analysis of variance models using dummy variables. (maa.org)
- 6.2 Analysis of covariance models. (maa.org)
- 10.5 Illustration of a complete predictive analysis: Normal regression models. (maa.org)
- State of the art approaches using parameter sensitivity are discussed for enhancing model identifiability through joint analysis of model structure and data. (google.com)
- Studies in mathematical modelling provide you with a strong critical knowledge base and develops powers of analysis, logical thinking and problem solving, as well as a high level of numerical ability. (edu.au)
- If successful, it will allow the students to understand papers that contain models, to develop new models to explore their own ideas, and to generate and use models for analysis and interpretation of data. (rug.nl)
- Introduction to modelling (The knowledge cycle: modelling-measuring-modelling, type of models, type of analysis) - Getting acquainted with the work of the participants. (wur.nl)
- Finally, a sensitivity analysis revealed that altering the homeostatic concentration of HSF can lead to large changes in the stress response without significantly impacting the homeostatic levels of other model components, making it an attractive target for intervention. (nih.gov)
- More than just a textbook, this how-to guide presents tools for mathematical modeling and analysis. (routledge.com)

###### Experimental14

- Models can make good use of quantitative data obtained within the experimental programmes of ANU and worldwide. (wur.nl)
- The model development process can help to pinpoint areas where knowledge and/or data are lacking, and stimulate new ideas and experimental approaches. (wur.nl)
- Using limited experimental data as inputs, the mathematical model was reasonable in qualitatively predicting microbial response (sustained suppression or regrowth due to resistance emergence) to various pharmacokinetic profiles of meropenem. (nih.gov)
- While there are obviously very large differences between the objects that are studied, and between the experimental techniques in the different cases, the mathematical tools are very similar. (chalmers.se)
- Our model was also in agreement with experiments showing that the number of HSF molecules in a HeLa cell is roughly 100 times greater than the number of stress-activated heat-shock element sites, further confirming the model's ability to reproduce experimental results not used in model calibration. (nih.gov)
- Several mathematical models of sinoatrial node cell membrane electrophysiology have been constructed as based on different experimental data sets and hypotheses. (frontiersin.org)
- The interactions between these diverse models and associated experimental measurements have greatly advanced our basic understanding of cardiac physiology and pathophysiology. (frontiersin.org)
- Yet after decades of modeling and experimental studies, one of the most important questions in cardiac physiology remains unanswered: what keeps the heart ticking ( 4 )? (frontiersin.org)
- These models are based on different experimental data, different hypotheses, and, not surprisingly, they result in diverse predictions about cardiac pacemaker activity ( 7 ). (frontiersin.org)
- A single model or hypothesis has, thus far, been unable to provide convincing explanations which address all experimental findings. (frontiersin.org)
- The fundamental mathematical and physiological principles relating to this hypothesis are reviewed, along with experimental data that shed light on its validity. (nih.gov)
- The simulated results obtained using our model were in good agreement with the corresponding experimental findings on the expansion of splenic MDSCs, immunosuppressive effects of these cells at the tumor site and effectiveness of l-arginine and 5-FU on the re-establishment of antitumor immunity. (ebi.ac.uk)
- With more experimental data on anatomy, physiology and nature of virus-host interactions, the current model can be reconstructed to capture the stages of sexual exposure. (phys.org)
- The concern regarding development of drug-resistant HIV following PEP and PrEP can also be addressed with more extensive modeling with the help of additional experimental data from animal models. (phys.org)

###### Quantitative1

- This is the first report to give a quantitative comparison of existing biofilm models. (iwapublishing.com)

###### Results9

- For statistical models, a table of results should provide the results of all the variables used in the model, the statistical significance of each variable, and a measure of goodness-of-fit of the entire model. (cdc.gov)
- The model constructed shows the process occurring when air is breathed and mixed with venous blood in the lungs, which results in exhaled air and arterial blood. (rand.org)
- The model results suggest that tumor growth rate is affected by complex feedback loops between the tumor cells, endothelial cells and the immune response. (ebi.ac.uk)
- Model results show that natural variations in climate are of great significance for the oxygen status of the deep water of the Baltic Sea over a time scale of decades. (redorbit.com)
- That makes this one of the first mathematical models for how social networks determine the results of these types of 'asymmetric' games. (uu.nl)
- The model was used to study groups numbering from 20 to 1,280 players, with similar results for each network size. (uu.nl)
- We present our results of mathematical modeling based on the helical electron wave function, which "tunnel" into a cancer cell, therefore ionizing it more effectively than in conventional forms of radiotherapy. (scirp.org)
- This book gives the reader a survey of hundreds results in the field of the cell and cell associated objects modeling. (elsevier.com)
- Although the recommendations were straightforward enough for individual decisions about screening, program planners have relied on the results of mathematical modelling, such as those reported by Telford and colleagues, 4 to estimate relevant costs and outcomes of screening programs. (cmaj.ca)

###### Behaviour7

- In general models are used to understand the behaviour of complex systems. (tue.nl)
- Also the behaviour of a system in a new situation or with new parameter values may be inferred from a suitable model. (tue.nl)
- The first model is based on the bacterial density dependent behaviour with up-regulation and down-regulation of the production of quorum sensing molecules. (springer.com)
- Estimating the overall efficacy of a mathematical model of system behaviour involves providing a template representing factors that affect the overall efficacy of the mathematical model. (freepatentsonline.com)
- A Bayesian Belief Network (BBN) having nodes based on the factors of the template is created and the BBN is used to obtain an estimate of the overall efficacy of the mathematical model of system behaviour. (freepatentsonline.com)
- using the BBN to obtain an estimate of overall efficacy of the mathematical model of system behaviour. (freepatentsonline.com)
- and quantifying conditional probabilities of leaf nodes of the BBN based on an estimate of relative importance of a said factor represented by each said root node to the overall efficacy of the mathematical model of system behaviour or predecessor node, and performing Bayesian inference on the quantified Bayesian Belief Network in order to obtain an estimate of overall efficacy of the mathematical model of system behaviour. (freepatentsonline.com)

###### Computations1

- Explicit vs. implicit: If all of the input parameters of the overall model are known, and the output parameters can be calculated by a finite series of computations, the model is said to be explicit. (wikipedia.org)

###### Year's2

- My car is last year's model. (thefreedictionary.com)
- Four hundred ninety-four student teams participated in this year's Mathematical Contest in Modeling, now 19 years old. (siam.org)

###### Present mathematical1

- Thus, the present mathematical model provides important implications for designing new therapeutic strategies that aim to restore antitumor immunity by targeting MDSCs. (ebi.ac.uk)

###### Sound mathematical1

- As the corresponding markets become more competitive and the systems more complex, the need for sound mathematical and computational models in the exploration, trading, and delivery of such goods is fundamental. (impa.br)

###### Systems6

- Mathematical modelling deals with modelling and analyzing various types of biomedical systems. (tue.nl)
- I have helped develop a mathematical model for the marine systems of the Baltic Sea. (redorbit.com)
- Although there are exceptions, nonlinear systems and models tend to be more difficult to study than linear ones. (wikipedia.org)
- This model can be applied to supply chains related with diversified crop systems, which is the objective of the Diverfarming project, financed by the European Commission, and seeks to introduce crop diversification into European agriculture to obtain environmental and economic benefits. (eurekalert.org)
- 2. A method according to claim 1, wherein the factors correspond to phases of a systems modelling lifecycle. (freepatentsonline.com)
- In the free deep download mathematical of your Microsoft Clip Organizer s you will obtain three political systems. (polishnationalhome.com)

###### Centre1

- A mathematical resurgence of risk management: an extreme modeling of expert opinions ," Documents de travail du Centre d'Economie de la Sorbonne 11057, Université Panthéon-Sorbonne (Paris 1), Centre d'Economie de la Sorbonne. (repec.org)

###### Tools4

- This study demonstrates that mathematical tools can offer novel mechanistic insights into human diseases. (pcrm.org)
- Some exercises are of the pencil-and-paper variety, but others require the help of the computer-aided mathematical tools such as Maple, Mathematica or R, which the student will learn how to use during the course. (rug.nl)
- Learn to apply mathematical skills and tools to find structure in the data. (nu.edu)
- This theme is separated from the others due to the diversity of tools, however most of the works are associated with modelling studies. (univ-lyon1.fr)

###### Chronic2

- However, as of now, no mathematical model has been developed which can explain the association between chronic inflammation and the development of insulin resistance. (diva-portal.org)
- In models of chronic infection, the different drug mechanisms end up having similar effects in mathematical models," explains author Daniel Coombs. (phys.org)

###### Deterministic4

- After completing the course students should be able to build, programme, analyse, and simulate simple deterministic models. (wur.nl)
- When dealing with large populations, as in the case of tuberculosis, deterministic or compartmental mathematical models are often used. (wikipedia.org)
- In a deterministic model, individuals in the population are assigned to different subgroups or compartments, each representing a specific stage of the epidemic. (wikipedia.org)
- While building such models, it must be assumed that the population size in a compartment is differentiable with respect to time and that the epidemic process is deterministic. (wikipedia.org)

###### Theory1

- They have developed the first mathematical theory for the possible states of an RNA molecule. (scienceblog.com)

###### Tumor1

- This is a mathematical model of pancreatic cancer, geared towards examining the efficacy of tumor-suppressing drugs in tandem with an immune response. (ebi.ac.uk)

###### Metabolism2

- Remien develops mathematical models to understand how metabolism can change the biomarkers. (livescience.com)
- Mathematical modeling lets us make and test predictions about changes in weight and metabolism over time," said Hall. (medindia.net)

###### Kinetics1

- That's when I started applying theories of chemical engineering-those models of transport and kinetics-to problems of biomedical engineering. (hopkinsmedicine.org)

###### Progression2

- This paper is devoted to mathematical modelling of the progression considering stages of breast cancer. (easychair.org)
- Remarkably, the systematic progression of these diseases was leveraged by Ashish Raj, a radiology professor in residence at the University of California, San Francisco in 2012, who demonstrated that predictions of the progression of brain atrophy in Alzheimer's from a network diffusion model had a strong correlation to clinical data. (stanforddaily.com)