• A significant emerging area of research activity involves interdisciplinary processes, and contributions in this area with numerical simulations are also encouraged. (dergipark.org.tr)
  • Identified as a mechanosensing organelle that responds to both mechanical and chemical stimuli, the primary cilium provides a fertile ground for integrative investigations of mathematical modeling, numerical simulations, and experiments. (aimspress.com)
  • As theoretical modeling and numerical simulations progress, along with improved state-of-the-art experiments on primary cilia, we hope that details of ciliary regulated mechano-chemical signaling dynamics in cellular physiology will be understood in the near future. (aimspress.com)
  • In return, mathematical and numerical models can provide rigorous tools for quantitative analyses with a diagnostic and prognostic content, and patient specific simulations are made possible by integrating such models with data and medical images. (jku.at)
  • Mathematical modeling and large scale simulations are key tools in engineering and science. (lu.se)
  • His area of research includes computational mechanics, and mathematical and data-driven modeling with applications to structural damage and multiphysics. (wpi.edu)
  • Comparative computational analysis of these approaches shows the limits of applications and effectiveness of each numerical method. (susu.ru)
  • In geology, numerical modeling is a widely applied technique to tackle complex geological problems by computational simulation of geological scenarios. (wikipedia.org)
  • It is a multidisciplinary meeting forum for researchers who develop and apply mathematical and computational tools to the study of phenomena in the broad fields of biology, ecology, medicine, bioengineering, environmental science, etc. (google.com)
  • Computational techniques, including predictive algorithms and mathematical models that describe a selected process (e.g., skin permeation) by means of analytical or numerical methods. (cdc.gov)
  • The PhD programme in Theoretical Physics with specialization in Computational Biology is engaged in constructing mathematical models and theories that describe physical reality with emphasis on biology and biophysics. (lu.se)
  • Introduction: The finite element method (FEM) involves a series of computational procedures to calculate the stress in each element, which performs a model solution. (bvsalud.org)
  • Further, we discussed the stability of the SEIQR model (constructed on the basis of system of coupled differential equations). (hindawi.com)
  • Provided sufficient data, these platforms put the burden of various parts of the design process (including finding governing equations, material models, and even solving the initial boundary value problems) on neural network functions of some form. (wpi.edu)
  • High order accurate numerical methods are efficient for solving such partial differential equations, however they are difficult to design because solutions may contain discontinuities. (cuni.cz)
  • Stochastic differential equations (SDEs) are very often used as models for a large number of phenomena in the physical, economic and management sciences. (adac.ee)
  • They generalize the notion of ordinary differential equations, taking into account a white additive and multiplicative noise term, to model random trajectories such as stock market prices or particles movements, on the quantum scale, subject to diffusion phenomena. (adac.ee)
  • However, the stability of numerical schemes for stochastic differential equations solution is much more significant. (adac.ee)
  • Numerical modeling uses mathematical models to describe the physical conditions of geological scenarios using numbers and equations. (wikipedia.org)
  • With numerical models, geologists can use methods, such as finite difference methods, to approximate the solutions of these equations. (wikipedia.org)
  • A general numerical model study usually consists of the following components: Mathematical model is a simplified description of the geological problem, such as equations and boundary conditions. (wikipedia.org)
  • These governing equations of the model are often partial differential equations that are difficult to solve directly since it involves the derivative of the function, for example, the wave equation. (wikipedia.org)
  • Discretization methods and numerical methods convert those governing equations in the mathematical models to discrete equations. (wikipedia.org)
  • In other words, the error between the discrete equations used in the numerical model and the governing equations in the mathematical model tends to zero when the space of the mesh (size of element) becomes close to zero. (wikipedia.org)
  • Converging: The output of the numerical model is closer to the actual solution of the governing equations in the mathematical models when the spacing of mesh (size of element) reduces, which is usually checked by carrying out numerical experiments. (wikipedia.org)
  • Since the equations in the mathematical models are usually derived from various conservation laws, the model result should not violate these premises. (wikipedia.org)
  • By formulating a suitable mathematical model via a system of ordinary differential equations (ODEs), we investigate how the vaccination rate and the fraction of avoided contacts affect the population dynamics. (mmnsa.org)
  • The mathematical model of the autocatalytic reaction with diffusion is based on the system of distributed Brusselator equations. (susu.ru)
  • Chapter 1 (Dynamical Modeling with Difference Equations) covers discrete models of single populations, starting with the exponential growth model and proceeding on to the logistic growth model, before discussing the different types of long-term behavior (equilibrium points, n-cycles, and chaos. (maa.org)
  • Numerical Investigation on the Fixed-Stress Splitting Scheme for Biot's Equations: Optimality of the Tuning Parameter. (uib.no)
  • The fluid flow model was based on the equations for mass flow rate of air though a bleed orifice assuming an isentropic process. (cdc.gov)
  • In the end, validation of the obtained results from solving the governing equations of mathematical model compared to the obtained results from the COMSOL software is confirmed. (nature.com)
  • Numerical linear algebra: Direct and iterative methods for linear systems and matrix eigenvalue problems: Iterative methods for nonlinear systems of equations. (up.ac.za)
  • Study of main principles of analysis in the context of their applications to modelling, differential equations and numerical computation. (up.ac.za)
  • The Numerical Analysis & Scientific Computing Group in Lund conducts research with a special focus on differential equations and often within industrial and interdisciplinary projects. (lu.se)
  • The model consists of a set of mass balance equations for organic substances, ammonium nitrogen, oxidized nitrogen, dissolved oxygen, alkalinity, biomass, and disinfectants in the bulk liquid phase and within the biofilm under laminar and turbulent flow conditions. (who.int)
  • However, when it is desired to model the evolution of a process over time, and particu- larly when the status of the process at any time point influences its subse- quent course, it is necessary to develop dynamic models based around differ- ential equations. (cdc.gov)
  • A model is a mathematical equation or system of equations that, given quantitative inputs, predicts certain outputs. (cdc.gov)
  • The course will give you an introduction to mathematical equations describing the large scale movements of the atmosphere, such as waves and the instability generating them. (lu.se)
  • Sechenov University, together with the Shenzhen Institute of advanced technologies (SIAT), with the support of the Moscow center for fundamental and applied mathematics at the INM RAS (using the INM RAS cluster), is holding a Russian-Chinese school of Mathematical modeling and parallel computing on September 22-25, 2020 (online). (ras.ru)
  • Hence an undergraduate studying with this text gains a broader view of mathematics as well as a feel for how mathematical models are constructed and used in biology. (maa.org)
  • Rather, our objective from the beginning has been to increase the presence of applied mathematics and modeling in education systems at all levels worldwide. (comap.com)
  • Modeling is an attempt to learn how the world works and the use of mathematics can help us produce better models. (comap.com)
  • This book series is co-published by the Higher Education Press (HEP) and the Consortium for Mathematics and Its Applications (COMAP), making it accessible worldwide to students and their faculty advisors, as well as to readers interested in modeling. (comap.com)
  • Students in the mathematics major learn a wide range of abstract mathematical concepts and their many applications. (bgsu.edu)
  • The Bachelor of Science in mathematics with the applied mathematics specialization emphasizes scientific computing and modeling. (bgsu.edu)
  • Applied mathematics courses use numerical calculations for mathematical modeling. (bgsu.edu)
  • Courses in the applied mathematics specialization introduce mathematical models for a wide variety of real-world problems. (bgsu.edu)
  • All these contributions shed light on the nature of numerical cognition underlying mathematics. (bvsalud.org)
  • Disciplinary research in many areas of mathematics, mathematical statistics and numerical analysis. (lu.se)
  • Numerical simulation of this model is provided, the results are analyzed by theoretically strong numerical methods, and computationally known tool MATLAB Simulink is also used for visualization of the results. (hindawi.com)
  • The Mathematical Modelling and Numerical Simulation with Applications (MMNSA) is an international research journal, which publishes top-level original and review papers, short communications and proceedings on mathematical modelling in biology, engineering, medicine, chemistry, physics, and other areas. (dergipark.org.tr)
  • This paper presents a newly developed numerical simulation method for simulating vehicle behavior in ditch fall-over tests. (sae.org)
  • The vehicle model used in the simulation incorporates a finite element tire model for calculating the contact forces to a steep slope in a rollover situation characterized by large contact patch deformation with very large camber angles relative to the slope, an operating condition that ordinary vehicles cannot handle. (sae.org)
  • The model uses a dynamic coupling algorithm including a CFD simulation of the cabin airflow, a model of the cabin structure and the detailed passenger Fiala Physiological Comfort (FPC) model. (sae.org)
  • He has expertise in the field of food engineering, food process modeling and simulation. (routledge.com)
  • Topics covered will range from the basics of continuum mechanics and thermodynamics concepts through to demonstrating the route from underlying models via algorithms to practical implementation in simulation packages. (warwick.ac.uk)
  • We introduce Catalyst.jl, a flexible and feature-filled Julia library for modeling and high-performance simulation of chemical reaction networks (CRNs). (bvsalud.org)
  • Interdisciplinary research in computer vision and image analysis, stochastic modelling and statistical signal processing, scientific computing and simulation techniques. (lu.se)
  • Mathematical Models in Biology: An Introduction is an introductory textbook in discrete mathematical modeling covering a wide variety of biological topics: dynamic models of population growth, models of molecular evolution, the construction of phylogenetic trees, genetics, and infectious disease modeling. (maa.org)
  • Specific principles to be considered are those related to mathematical biology, continuum mechanics and mathematical physics as presented in the modules WTW 772, WTW 787 and WTW 776, respectively. (up.ac.za)
  • This course is well suited for masters students at the department of Biology interested in biological modelling, how models work and what they are good for. (lu.se)
  • Theoretical Biology and Medical Modelling. (who.int)
  • Thereafter, applied mathematical methods in biology, with examples from different subject areas such as biochemistry, ecology and physiology, are addressed. (lu.se)
  • Teaching is informed by the Department's high-quality research - the University of Reading is in the top 100 in the world for Physical Sciences (Times Higher Education World University Rankings 2023, by Subject) and 98% of our research is world leading or internationally excellent and 100% of our research impact has been classed 'outstanding' or 'very considerable' (REF 2021, combining 4* and 3* submissions - Mathematical Sciences). (reading.ac.uk)
  • He is an editor of the Missouri Journal of Mathematical Sciences . (maa.org)
  • Road systems and betweenness, Bulletin of Mathematical Sciences 3, no. 3 (2013), 389--408. (marquette.edu)
  • Numerical analysis consists of construction, analysis and implementation of approximation methods and the usage of these methods to develop new technology within applied sciences. (lu.se)
  • The obtained results are used for devising numerical methods. (susu.ru)
  • By present-day standards the book is weak on numerical linear algebra, a subject that has become much more important with the rise of computers. (maa.org)
  • 5. Numerical Linear Algebra. (maa.org)
  • The biggest strength of the text is that it touches on a variety of topics from a wide range of mathematical subdisciplines (e.g., mathematical modeling, discrete dynamical systems, linear algebra, and probability,) while following a coherent and logical pathway through an interesting set of biological topics. (maa.org)
  • We describe a mathematical model of the emergence and diffusion of bacterial resistance in the community. (cdc.gov)
  • The authors, Elizabeth S. Allman and John A. Rhodes, describe their target audience as undergraduates "having a strong interest in biological science and a mathematical background sufficient to study calculus. (maa.org)
  • In a new study, published June 20, 2022 in the journal Clinical Infectious Diseases , researchers at University of California San Diego School of Medicine and UC San Diego Health describe a new mathematical model to help predict anal cancer risk in persons with HIV infection and aid clinicians and patients in making screening decisions. (eurekalert.org)
  • Two alternative hypotheses to describe the process of the disappearance of longer fibers were tested by assessing their effect on a quantitative measure of fit of model predictions to the lung-burden data. (cdc.gov)
  • In modeling complex biological processes, it is often possible to describe broad trends using simple regression or other statistical models. (cdc.gov)
  • Mathematical models have been widely used previously to describe the deposition, retention, and clearance of inhaled particles (Tran et al. (cdc.gov)
  • 7. Lavrentiev M.M., Romanov V.G., Shishatskii S.P. Nekorrektnye zadachi matematicheskoy fiziki i analiza [Ill-Posed Problems of Mathematical Physics and Analysis]. (susu.ru)
  • Integral and pointwise estimates, in Problems of Mathematical Physics and Theory of Functions , St-Petersbourg University Publishers (1997) 101-152. (cambridge.org)
  • The course discusses numerical methods about coupled problems, where different mathematical models for different physics are coupled along an interface. (lu.se)
  • The prerequisites are fairly low, and it does not assume a previous course in numerical analysis. (maa.org)
  • Then, we demonstrate the power and generalizability of this constitutive modeling tool for three different materials: single layer graphene, a hyperplastic anisotropic material, and a heterogenous biological tissue going under large deformation. (wpi.edu)
  • Finally, we demonstrate Catalyst's broad extensibility and composability by highlighting how it can compose with a variety of Julia libraries, and how existing open-source biological modeling projects have extended its intermediate representation. (bvsalud.org)
  • The latter route may also enable discrimination between alternative model formulations repre- senting different biological hypotheses. (cdc.gov)
  • The latest schedule for the course Modelling Biological Systems in the schedule software TimeEdit. (lu.se)
  • The general aim of the course is that the students should be able to handle and analyse biological problems that are dependent on mathematical techniques for their solution. (lu.se)
  • The course may not be included in a degree together with BIOS02 Methods in Modelling Biological Systems 7.5 credits. (lu.se)
  • Each scenario is based on a set of numerical values for biological and epidemiological characteristics of COVID-19. (cdc.gov)
  • use mathematical and numerical methods to analyse simple dynamic, statistic or probabilistic models, such as stability analysis, optimization or risk analysis. (lu.se)
  • A reliable predictive mathematical model should be able to soundly cope with all these aspects. (jku.at)
  • PX914: Predictive Modelling and Uncertainty Quantification w​ill give an introduction to predictive modelling techniques including statistics, machine learning, data analytics and data mining, essential for solving problems in the interdisciplinary area of predictive modelling. (warwick.ac.uk)
  • You will also learn about advantages and disadvantages of different models. (lu.se)
  • This paper proposes different approaches that help to find numerical solution to the boundary problem for heat equation. (susu.ru)
  • A possible cure for the bad numerical behavior of the approximating controls consists of adding a singular perturbation depending on a small parameter ε which transforms the heat equation into a wave equation. (mmnp-journal.org)
  • PX911: Multiscale modelling methods and applications I ​will provide an introduction to atomistic modelling techniques including DFT, classical force field methods and an appreciation of how they interact with other modelling frameworks. (warwick.ac.uk)
  • Multiscale Modelling case studies by guest lecturers will show how problems involving heterogeneous systems are tackled at multiple length & time scales. (warwick.ac.uk)
  • PX912: Multiscale modelling methods and applications II ​will provide a firm grounding in macroscopic and multiscale modelling techniques, with lectures on foundations of continuum mechanics, thermodynamics, fluid dynamics, solid mechanics, and recent developments in multiscale fluid, plasma and solid mechanics, again with an emphasis on applications and on the links between methods and across scales. (warwick.ac.uk)
  • The numerical interface coupling of nonlinear hyperbolic systems of conservation laws : II. (numdam.org)
  • Using the geometric properties of the fusion device, a suitable system of coordinates and averaging methods, the mathematical problem may be reduced to a two dimensional free boundary problem of nonlocal type, where the corresponding differential equation is of the Grad?Shafranov type. (upm.es)
  • they are MCM, ICM (the Interdisciplinary Contest in Modeling), and HiMCM (the High School Mathematical Contest in Modeling). (comap.com)
  • This book series is a collection and expositions of the ideas, background knowledge, and modeling methodologies for solving the problems for the Mathematical Contest in Modeling (MCM) and the Interdisciplinary Contest in Modeling (ICM). (comap.com)
  • basically, they estimated the epidemic behavior in Pakistan by using some previous statistical data from Pakistan and they applied numerical approaches Nsfd and Ode45 to figure out the study. (hindawi.com)
  • MMNSA focuses on research related to the mathematical modelling of engineering and environmental processes, manufacturing, and industrial systems. (dergipark.org.tr)
  • Yet analog modeling is still useful in modeling geological scenarios that are difficult to capture in numerical models, and the combination of analog and numerical modeling can be useful to improve understanding of the Earth's processes. (wikipedia.org)
  • Various concepts to reduce these loads have thus been proposed but quantitative experimental analysis or numerical predictions are scarcely available. (sae.org)
  • It estimates quantitative risk based on modeled patient characteristics. (eurekalert.org)
  • In addition to modeling the disappearance of long fibers, the present study includes a quantitative measure of goodness of fit of the model to observed data. (cdc.gov)
  • One effective approach to obtain generalizable data-driven models is to construct neural network functions that, by definition, satisfy the desired physical laws. (wpi.edu)
  • A numerical approach. (upm.es)
  • We present here some numerical experiences and we give some numerical approach for the averaged poloidal flux and for the third covariant magnetic field component. (upm.es)
  • In this case, the numerical approach, presenting itself under various aspects, is the only favorable outcome. (adac.ee)
  • This thesis presents a new approach to measuring the vibration from these tools using an experimental hand arm model to which the tools are attached. (cdc.gov)
  • In this talk we will survey several types of high order numerical methods for such problems, including weighted essentially non-oscillatory (WENO) finite difference and finite volume methods, discontinuous Galerkin finite element methods, and spectral methods. (cuni.cz)
  • Prior to the development of numerical modeling, analog modeling, which simulates nature with reduced scales in mass, length, and time, was one of the major ways to tackle geological problems, for instance, to model the formation of thrust belts. (wikipedia.org)
  • Simple analytic or semi-analytic mathematical models were also used to deal with relatively simple geological problems quantitatively. (wikipedia.org)
  • In the late 1960s to 1970s, following the development of finite-element methods in solving continuum mechanics problems for civil engineering, numerical methods were adapted for modeling complex geological phenomena, for example, folding and mantle convection. (wikipedia.org)
  • Numerical modeling has become an important tool for tackling geological problems, especially for the parts of the Earth that are difficult to observe directly, such as the mantle and core. (wikipedia.org)
  • Still, problems from biomedical research are extremely complex and challenging from the modeling viewpoint. (jku.at)
  • In our institute, machine learning , data- and knowledge-based modelling techniques serve as important methodologies for solving mathematical problems in different application scenarios within funded research projects and industrial projects. (jku.at)
  • G.A. Iosifían, O.A. Oleinik and A.S. Shamaev, Mathematical Problems in elasticity and homogenization. (cambridge.org)
  • I hope that you will begin to work on the exciting and important problems you see here, and that you will join the MCM/ICM contests and the rewarding work of increasing the awareness of the importance of mathematical modeling. (comap.com)
  • In addition to the expositions of these problems, this book also presents a brief history of the MCM/ICM contests, offers ideas to help students prepare for the MCM/ICM contests, presents general modeling framework and methodologies, describes the judging procedure of the MCM/ICM papers, explains how to write attractive MCM/ICM papers, and presents a sample scheduling of tasks during the contest. (comap.com)
  • This session targets mathematical modeling approaches to solving transport phenomena problems. (aiche.org)
  • Both numerical and especially analytical approaches are considered. (aiche.org)
  • Abstract?We consider a mathematical model related to the stationary regime of a plasma of fusion nuclear, magnetically confined in a Stellarator device. (upm.es)
  • His mathematical interests are number theory and classical analysis. (maa.org)
  • Stable: In a stable numerical model, the error during the computation of the numerical methods does not amplify. (wikipedia.org)
  • Efficient Solvers for Nonstandard Models for Flow and Transport in Unsaturated Porous Media. (uib.no)
  • Mathematical and Numerical Analysis of Flow in Deformable Porous Media. (uib.no)
  • The authors extend the models from Chapter 1 by introducing some matrix algebra. (maa.org)
  • The scope of the journal is devoted to mathematical modelling with sufficiently advanced models, and the works studying mainly the existence and stability of stationary points of ODE systems without applications are not considered. (dergipark.org.tr)
  • There is a nice coverage of phase plane plots, equilibria and stability before the authors introduce other examples of interacting population models. (maa.org)
  • Numerical stability, error estimates and convergence are dealt with. (up.ac.za)
  • With advances in computer technology, the accuracy of numerical models has been improved. (wikipedia.org)
  • 2. How to Obtain and Estimate Accuracy in Numerical Calculations. (maa.org)
  • One of the methods of analyzing the behavior of diseases is compartmental modelling that is applicable to the mathematical models involving influential diseases. (hindawi.com)
  • Mathematical models are quite helpful in investigating the behavior of viruses, diseases, or infections and help out to conclude under what circumstances the outbreaking virus can be eradicated or continued in citizens and are often useful in estimating the duration of an outbreak. (hindawi.com)
  • This model is validated by comparing its solutions with the numerical solutions in the literature and then is applied for predicting the behavior of a typical water treatment plant effluent through a distribution pipe. (who.int)
  • In this paper, we consider a modified SIR (susceptible-infected-recovered/removed) model that describes the evolution in time of the infectious disease caused by Sars-Cov-2 (Severe Acute Respiratory Syndrome-Coronavirus-2). (mmnsa.org)
  • This manuscript is devoted to a study of the existence and uniqueness of solutions to a mathematical model addressing the transmission dynamics of the coronavirus-19 infectious disease (COVID-19). (springeropen.com)
  • Actually, it has been observed that infectious disease models have many advantages for forestalling and pointing out rising infectious diseases as well as controlling them like COVID-19. (springeropen.com)
  • Nishiura H. Early efforts in modeling the incubation period of infectious diseases with an acute course of illness. (who.int)
  • On the other hand, they are imbued with uncertainty, whose primary sources may result from input variability (aleatory/irreducible uncertainty), such as the anatomical definition, the tissue characteristics and unknown boundary conditions, or from a lack of knowledge (epistemic/reducible uncertainty), such as the modeling assumption, or the influence of yet unknown physical phenomena. (jku.at)
  • Algorithms are computer programs that compute the solution using the idea of the above numerical methods. (wikipedia.org)
  • In this invited review, we provide a brief survey of experimental findings on primary cilia and how these results lead to various mathematical models of the mechanics of the primary cilium bent under an external forcing such as a fluid flow or a trap. (aimspress.com)
  • Flow of fluids is simulated using numerical methods, and this shows how groundwater moves, or how motions of the molten outer core yields the geomagnetic field. (wikipedia.org)
  • Homotopy continuation for a two-phase flow model with machine-learned relative permeabilities. (uib.no)
  • Fundamentally, the numerical model was made up of two different sub-models, 1) a fluid flow model and 2) a structural dynamic model. (cdc.gov)
  • Numerical modelling has been used to assist in the study of rock mechanics, thermal history of rocks, movements of tectonic plates and the Earth's mantle. (wikipedia.org)
  • The theoretical results of this article served as the basis for developing an algorithm for numerical study of the model in a Maple environment. (susu.ru)
  • Base-free formulas in the lattice-theoretic study of compacta, Archive for Mathematical Logic , vol. 50, no. 5-6 (2011), 531-542. (marquette.edu)
  • Finally, a parametric study using the numerical model was carried out to explore different vibration control techniques. (cdc.gov)
  • In the mixed effects model, random intercepts of the country and parallel of latitude were applied as 3 levels of the model (prevalence rate of each study, nested within countries and latitude parallel). (who.int)
  • Despite reporting increasing trends for seroprevalence of CCHF in previous reviews and the fixed effects model of the present study, the secondary mixed effects modeling showed a decreasing trend. (who.int)
  • 7. Finite Differences with Applications to Numerical Integration, Differentiation and Interpolation. (maa.org)
  • The article analyzes analytically and numerically the model of the autocatalytic reaction with diffusion in the degenerate case on a finite connected directed graph G with the Showalter -- Sidorov condition. (susu.ru)
  • Finite Element Analysis (FEA) has been widely used through numerical analysis that has been successfully applied in many engineering and bioengineering areas since the 1960s. (bvsalud.org)
  • The finite element method (FEM) is a numerical procedure for analyzing structures. (bvsalud.org)
  • This can be attributed to mechanical engineering principles that are present in these specialties, favoring the use of finite element modeling. (bvsalud.org)
  • Models are also necessary to make predictions about the future, test different scenarios, etc. (lu.se)
  • 19 Pandemic Planning Scenarios that are designed to help inform decisions by modelers and public health officials who utilize mathematical modeling. (cdc.gov)
  • The planning scenarios are being used by mathematical modelers throughout the Federal government. (cdc.gov)
  • Models developed using the data provided in the planning scenarios can help evaluate the potential effects of different community mitigation strategies (e.g., social distancing). (cdc.gov)
  • The coupling not only includes heat transport between the cabin air and the surrounding surfaces, but also considers important interactions with the occupants, including e.g. the release of moisture into the cabin air by respiration and sweating predicted by the Fiala Physiological Comfort model and the heat exchange between occupant body parts and solid surfaces by radiation and conduction. (sae.org)
  • When choosing tFhe appropriate mathematical model, element type and degree of discretization are important to obtain accurate as well as time and cost effective solutions. (bvsalud.org)
  • Numerical experiments can then be performed in these models, yielding the results that can be interpreted in the context of geological process. (wikipedia.org)
  • In silico models are today a regular support for the investigative activity of medical doctors and life scientists, alongside the in vivo and in vitro experiments. (jku.at)
  • The experimental hand-arm model has been designed to have similar dynamic characteristics to that of a human hand-arm system. (cdc.gov)
  • The results obtained from the numerical model were then validated using these experimental results. (cdc.gov)
  • On the other hand, by the presented DNA model and by obtaining DNA frequency, experimental studies of the effects of waves on DNA such as phantom effect or DNA teleportation can also be studied scientifically and precisely. (nature.com)
  • The second sub-model deals with modeling the structural components of the impact hammer consisting of the major hammer like the center body, handle, piston and chisel as well as the human hand and the ground. (cdc.gov)
  • If the model is consistent, the result of the numerical model is nearly the same as what the mathematical model predicts when the element size is nearly zero. (wikipedia.org)