• Consider $X$ a Hausdorff space, and $(H_*(X),\partial_*)$ its singular homology. (stackexchange.com)
  • Difference between simplicial and singular homology? (stackexchange.com)
  • In this paper, we develop homology groups for digital images based on cubical singular homology theory for topological spaces. (tubitak.gov.tr)
  • We prove digital analog of Hurewicz theorem for digital cubical singular homology. (tubitak.gov.tr)
  • We defined the singular n-simplex, and used it to define singular homology. (umich.edu)
  • Its main tool is persistent homology, which is based on other homology theory, usually simplicial homology. (helsinki.fi)
  • Simplicial homology applies to finite data in real space, and thus it is mainly used in applications. (helsinki.fi)
  • We then defined simplicial homology. (umich.edu)
  • Most members contain an N-terminal pleckstrin homology domain and a highly conserved C-terminal OSBP-like sterol-binding domain. (nih.gov)
  • We have built the complex for computing the integral homology groups of an asynchronous transition system by the Smith normal form of integer matrices. (arxiv.org)
  • As an application, we obtain four chain complexes which compute the integral homology of the Milnor fibre of the reflection arrangement of $W$, the Milnor fibre of the discriminant of $W$, the hyperplane complement of $W$ and the Artin group of type $W$, respectively. (arxiv.org)
  • We also tabulate some computational results on the integral homology of the Milnor fibres. (arxiv.org)
  • The BRCA2 R3052W mutated protein exacerbates genome instability, is unable to rescue homology-directed repair, and fails to complement cell survival following exposure to PARP inhibitors and crosslinking drugs. (frontiersin.org)
  • The results are in accord with the general observation that with increasing temperature, the role of electrostatic interactions in protein stability increases. (nih.gov)
  • This resource allows investigators to obtain more targeted search results and quickly identify a protein of interest. (nih.gov)
  • I have to build a model by homology modelling for a protein(only sequence available) which builds a homodimer. (salilab.org)
  • It shares homology with the mating-type protein, Mc, from the fission yeast Schizosaccharomyces pombe and a conserved DNA-binding motif present in the nuclear high-mobility-group proteins HMG1 and HMG2. (nih.gov)
  • X-linked hypophosphatemic rickets and autosomal recessive hypophosphatemic rickets are the result of mutations in PHEX (a phosphate-regulating gene with homologies to endopeptidases on the X chromosome) and dentin matrix protein 1 ( DMP1 ), respectively. (medscape.com)
  • Given a henselian pair (R,I) of commutative rings, we show that the relative K-theory and relative topological cyclic homology with finite coefficients are identified via the cyclotomic trace K→TC. (ku.dk)
  • We deduce that the cyclotomic trace is an equivalence in large degrees between p-adic K-theory and topological cyclic homology for a large class of p-adic rings. (ku.dk)
  • The resulting invariant, denoted TC, is referred to as topological cyclic homology. (utoronto.ca)
  • Cara Therapeutics, Inc. (Nasdaq: CARA), a commercial-stage biopharmaceutical company leading a new treatment paradigm to improve the lives of patients suffering from pruritus, today announced financial results and operational highlights for the second quarter ended June 30, 2023. (biospace.com)
  • ET to report second quarter 2023 financial results and provide a corporate update. (biospace.com)
  • Being a spherical 3-manifold, it is the only homology 3-sphere (besides the 3-sphere itself) with a finite fundamental group. (wikipedia.org)
  • We have built the complexes of finite length for a computation of the Leech homology of such monoids and the Hochschild homology of their monoid rings. (arxiv.org)
  • Let $\mathcal{L}$ be the noncrossing partition lattice associated to a finite Coxeter group $W$. In this paper we construct explicit bases for the top homology groups of intervals and rank-selected subposets of $\mathcal{L}$. We define a multiplicative structure on the Whitney homology of $\mathcal{L}$ in terms of the basis, and the resulting algebra has similarities to the Orlik-Solomon algebra. (arxiv.org)
  • In this talk, we will show that the map induced by a ribbon concordance on knot Floer homology is an injection. (rutgers.edu)
  • Homology calls are sourced from the Alliance of Genome Resources . (yeastgenome.org)
  • Advantages of Zebrafish: The zebrafish has a sequenced genome and 80% homology of genes associated with human disease. (cdc.gov)
  • A key issue in managing today's large amounts of genetic data is the availability of efficient, accurate, and selective techniques for detecting homologies (similarities) between newly discovered and already stored sequences. (aaai.org)
  • In this study, 331-bp fragment of the 18S rDNA gene showed 99.7% and we collected P . irritans (human fleas) and C . felis fleas on 99.4% homology with previous sequences of C . felis a pet monkey in Gabon and report for the first time the (GenBank accession no. (cdc.gov)
  • This approximation becomes especially good if we compute cyclic homology over the sphere, the higher categorical analogue of the ring of integers. (utoronto.ca)
  • A rational homology sphere is defined similarly but using homology with rational coefficients. (wikipedia.org)
  • In this work, homology models of both proteins were constructed and analyzed for a number of structural properties. (nih.gov)
  • Computational methods bridge this sequence-annotation gap typically through homology-based annotation transfer by identifying sequence-similar proteins with known function or through prediction methods using evolutionary information. (rostlab.org)
  • The results show that nonnative proteins are more structured and less solvent exposed than commonly believed. (lu.se)
  • These data support a model whereby activating MLLT1 mutations early in renal development result in the development of Wilms tumour. (nature.com)
  • We conclude that activating MLLT1 mutations accompanied by Wnt activation early in renal development result in the development of Wilms tumour. (nature.com)
  • Deficiency of 21-hydroxylase, resulting from mutations or deletions of CYP21A, is the most common form of CAH, accounting for more than 90% of cases. (medscape.com)
  • Rosen Law Firm, a global investor rights law firm, reminds purchasers of the securities of Homology Medicines, Inc. (NASDAQ: FIXX) between June 10, 2019 and February 18, 2022, inclusive (the "Class Period"), of the important May 24, 2022 lead plaintiff deadline . (globenewswire.com)
  • Homology Medicines, Inc. (Nasdaq: FIXX), a genetic medicines company, announced today six presentations supporting its gene editing, gene therapy and GTx-mAb programs at the American Society of Gene & Cell Therapy (ASGCT) 26th Annual Meeting. (biospace.com)
  • This design decision results in either excessively long search times or, as is the case of BLAST, in a sharp trade-off between the achieved accuracy and the required amount of computation. (aaai.org)
  • We also show that the homology functors developed in this paper satisfy properties that resemble the Eilenberg-Steenrod axioms of homology theory, in particular, the homotopy and the excision axioms. (tubitak.gov.tr)
  • We defined a covering space, and proved results about covering spaces, homotopy, and lifts. (umich.edu)
  • In this paper, we study the homotopy type of the CW-complexes in connection with the diagonality of magnitude homology groups. (intlpress.com)
  • The result can be considered as a homotopy type version of Gu's result. (intlpress.com)
  • The Poincaré homology sphere (also known as Poincaré dodecahedral space) is a particular example of a homology sphere, first constructed by Henri Poincaré. (wikipedia.org)
  • Since the fundamental group of the 3-sphere is trivial, this shows that there exist 3-manifolds with the same homology groups as the 3-sphere that are not homeomorphic to it. (wikipedia.org)
  • Alternatively, the Poincaré homology sphere can be constructed as the quotient space SO(3)/I where I is the icosahedral group (i.e., the rotational symmetry group of the regular icosahedron and dodecahedron, isomorphic to the alternating group A5). (wikipedia.org)
  • More intuitively, this means that the Poincaré homology sphere is the space of all geometrically distinguishable positions of an icosahedron (with fixed center and diameter) in Euclidean 3-space. (wikipedia.org)
  • The Poincaré homology sphere results from +1 surgery on the right-handed trefoil knot. (wikipedia.org)
  • Surgery on a knot in the 3-sphere S3 with framing +1 or −1 gives a homology sphere. (wikipedia.org)
  • More generally, surgery on a link gives a homology sphere whenever the matrix given by intersection numbers (off the diagonal) and framings (on the diagonal) has determinant +1 or −1. (wikipedia.org)
  • If p, q, and r are pairwise relatively prime positive integers then the link of the singularity xp + yq + zr = 0 (in other words, the intersection of a small 5-sphere around 0 with this complex surface) is a Brieskorn manifold that is a homology 3-sphere, called a Brieskorn 3-sphere Σ(p, q, r). (wikipedia.org)
  • The connected sum of two oriented homology 3-spheres is a homology 3-sphere. (wikipedia.org)
  • A homology 3-sphere that cannot be written as a connected sum of two homology 3-spheres is called irreducible or prime, and every homology 3-sphere can be written as a connected sum of prime homology 3-spheres in an essentially unique way. (wikipedia.org)
  • There is always a way to choose the b′s, and the homology sphere does not depend (up to isomorphism) on the choice of b′s. (wikipedia.org)
  • Much of our computational knowledge of algebraic K-theory is due to trace methods, most notably the cyclotomic trace, which approximates K-theory via cyclic homology. (utoronto.ca)
  • Recently, Asao and Izumihara introduced CW-complexes whose homology groups are isomorphic to direct summands of the graph magnitude homology group. (intlpress.com)
  • A search of a 35-kilobase region of the human Y chromosome necessary for male sex determination has resulted in the identification of a new gene. (nih.gov)
  • A mutation or deletion of any of the genes that code for enzymes involved in cortisol or aldosterone synthesis results in congenital adrenal hyperplasia. (medscape.com)
  • Embeddings from deep learning transfer GO annotations beyond homology. (rostlab.org)
  • In this thesis an approximation method is discussed that provides similar results to leave-one-out cross-validation but is less time-consuming. (tudelft.nl)
  • This will be the first book to synthesize, summarize, and provide high-quality illustrations to show what is known of the configuration, development, homology, and evolution of the muscles of all major extant chordate groups. (routledge.com)
  • This thesis aims to introduce the theories behind persistent homology and its application, image completion algorithm. (helsinki.fi)
  • Persistent homology is motivated by the question of which scale is the most essential to study data shape. (helsinki.fi)
  • A filtration contains all scales we want to explore, and thus it is an essential tool of persistent homology. (helsinki.fi)
  • The BRCA2 R3052W mutation fails to complement chemotherapeutic sensitivity and homology-directed repair functions in BRCA2 knockout cells. (frontiersin.org)
  • In addition to the description of the algorithm, theoretical and experimental results on the sensitivity and accuracy of the suggested approach are provided. (aaai.org)
  • Various software resources are also required to enable users to conveniently connect their experimental results with publicly, and application specific, bioinformatics databases and tools. (lu.se)
  • Areas covered include sequence databases, pairwise and multiple sequence alignment, homology searches in sequence databases and subcellular localization prediction. (lu.se)
  • Preliminary results from CAFA4 appear to confirm these findings. (rostlab.org)
  • Preliminary results show 85% homology with a Presbyterian minister from Des Moines. (scienceblog.com)
  • Nevertheless, while Q44R led to recovery of viruses that maintained the mutation, Q44D resulted in selection of infective viruses with substitution D44E with acidic charge but with structural features similar to those of the parental virus, suggesting that Q44 is involved in functions other than 3A dimerization. (asm.org)
  • Due to the structural and biochemical homology between IGF-2 and insulin, elevated levels of IGF-2 can result in hypoglycemia. (medscape.com)
  • RESULTS: Here, we report the characterization of a cDNA, 1RT126I22, which contains a TNF homology domain. (usda.gov)
  • Therefore, we do not have a prediction result for high identical template and target. (tu-muenchen.de)
  • These 7 species are approximately identical in DNA homology studies. (cdc.gov)
  • Using this homology, we obtain two main results that make this homology different from already existing homologies of digital images. (tubitak.gov.tr)
  • Our main result is that the tropical root surface of A_{n-1} has degree (1/2)(n^3-3n^2-2n+12). (google.com)
  • MEASUREMENTS AND MAIN RESULTS: Clusters were determined by hierarchical clustering on principal components using principal component analysis of admission characteristics including plasma interleukin-6, human histocompatibility leukocyte antigen-DR expression rate on blood monocytes (HLA-DR) monocytic-expression rate (mHLA-DR), and the extent of lung parenchymal lesions. (bvsalud.org)
  • As a result of the thicker skin, affected individuals typically have fewer facial creases (wrinkles) than others of their age. (medlineplus.gov)
  • Arguments often make use of simple, but profound, results from group theory or homology theory. (maa.org)
  • In the resulting alignment there is a separation ("/") between the two chains of the template sequence. (salilab.org)
  • If I put the separation in the resulting alignment the alignment of the chains wouldn't be good. (salilab.org)
  • The homology detection algorithm presented in this paper, on the other hand, is based on a probabilistic indexing framework. (aaai.org)
  • A minimally hypomorphic mutation in Btk resulting in reduced B cell numbers but no clinical disease. (lu.se)
  • Duality between K-theory and K-homology in the non-spin^c case. (mathoverflow.net)
  • Then there is a cap product $K^\ast(M) \times K_\ast(M) \to K_\ast(M)$ between the K-theory of M and its K-homology. (mathoverflow.net)
  • If you purchased Homology securities during the Class Period you may be entitled to compensation without payment of any out of pocket fees or costs through a contingency fee arrangement. (globenewswire.com)
  • This article goes beyond the basics to explore the many evolutionary scenarios that result in homoplasies and the many levels at which homologies might occur. (berkeley.edu)
  • is a renowned medicine food homology plant, reports of excessive cadmium (Cd) levels are common, which affects its safety for clinical use and food consumption. (techscience.com)
  • Research to practice potential : results of this study will emphasize importance of cleaning turnout gear, and proper handling of AFFF waste. (cdc.gov)
  • Lysine-specific crosslinking mass spectrometry provided distance constraints to select a homology model of the DNAJB6 monomer, which was subsequently used in crosslink-assisted docking to generate a dimer model, revealing that a peptide-binding cleft lined with S/T-residues is formed at the monomer-monomer interface. (lu.se)
  • Because many laboratories use tests that do not routinely distinguish Mycobacterium tuberculosis from closely related species, these laboratories report culture results as being positive or negative for " Mycobacterium tuberculosis complex. (cdc.gov)
  • A combination of surgery and chemotherapy results in the long-term survival of approximately 60-70% of osteosarcoma patients [ 3 ]. (biomedcentral.com)
  • Finally, a genetic absence of the receptor for calcitriol results in deficient calcification. (medscape.com)
  • The particular phenotype that results depends on the sex of the individual, the location of the block in synthesis, and the severity of the genetic deletion or mutation. (medscape.com)
  • Discusses broader developmental and evolutionary issues and their implications for macroevolution, such as the links between phylogeny and ontogeny, homology and serial homology, normal and abnormal development, the evolution, variations, and birth defects of humans, and medicine. (routledge.com)
  • some are the result of convergent evolution. (berkeley.edu)