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of 15
pro vyhledávání: '"Simon L, Cotter"'
Microstructural models of soft-tissue deformation are important in applications including artificial tissue design and surgical planning. The basis of these models, and their advantage over their phenomenological counterparts, is that they incorporat
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::98f9e2b84fd9043612f7f4692266e6e5
Autor:
Jessica E. Forsyth, Ali Ha Al-Anbaki, Diego Perez-Cortes, Isabel Rivera, Simon L. Cotter, Nikkinder Modare, Rowena Seaton Kelly, Berenika Plusa, Roberto de la Fuente
Publikováno v:
PLoS Biology, Vol 19, Iss 7, p e3001345 (2021)
PLoS Biology
Forsyth, J E, Al-anbaki, A H, De La Fuente, R, Modare, N, Perez-cortes, D, Rivera, I, Seaton Kelly, R, Cotter, S & Plusa, B 2021, ' IVEN: A quantitative tool to describe 3D cell position and neighbourhood reveals architectural changes in FGF4-treated preimplantation embryos ', PLoS Biology, vol. 19, no. 7, e3001345 . https://doi.org/10.1371/journal.pbio.3001345
PLoS Biology
Forsyth, J E, Al-anbaki, A H, De La Fuente, R, Modare, N, Perez-cortes, D, Rivera, I, Seaton Kelly, R, Cotter, S & Plusa, B 2021, ' IVEN: A quantitative tool to describe 3D cell position and neighbourhood reveals architectural changes in FGF4-treated preimplantation embryos ', PLoS Biology, vol. 19, no. 7, e3001345 . https://doi.org/10.1371/journal.pbio.3001345
Architectural changes at the cellular and organism level are integral and necessary to successful development and growth. During mammalian preimplantation development, cells reduce in size and the architecture of the embryo changes significantly. Suc
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::18e4c89e6e55af2a9cc32cfecd9c4003
https://doaj.org/article/e0f5a5b746b64ad780975bfb580a5756
https://doaj.org/article/e0f5a5b746b64ad780975bfb580a5756
In many applications, Bayesian inverse problems can give rise to probability distributions which contain complexities due to the Hessian varying greatly across parameter space. This complexity often manifests itself as lower dimensional manifolds on
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::83d17224ac484a7afb8f90edd9e0ba17
Autor:
Nicole, Gruenheit, Katie, Parkinson, Christopher A, Brimson, Satoshi, Kuwana, Edward J, Johnson, Koki, Nagayama, Jack, Llewellyn, William M, Salvidge, Balint, Stewart, Thomas, Keller, Wouter, van Zon, Simon L, Cotter, Christopher R L, Thompson
Publikováno v:
Developmental Cell
Summary Cell-cell heterogeneity can facilitate lineage choice during embryonic development because it primes cells to respond to differentiation cues. However, remarkably little is known about the origin of heterogeneity or whether intrinsic and extr
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=pmid________::8b607e897a7e607f91f509859e1ee801
https://pubmed.ncbi.nlm.nih.gov/30473004
https://pubmed.ncbi.nlm.nih.gov/30473004
Publikováno v:
Cotter, S L, Zygalakis, K C, Kevrekidis, I G & Erban, R 2011, ' A constrained approach to multiscale stochastic simulation of chemically reacting systems ', Journal of Chemical Physics, vol. 135, no. 9, 094102 . https://doi.org/10.1063/1.3624333
Stochastic simulation of coupled chemical reactions is often computationally intensive, especially if a chemical system contains reactions occurring on different time scales. In this paper, we introduce a multiscale methodology suitable to address th
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::962024e483f642c7d34bd9fd525afbd2
https://ora.ox.ac.uk/objects/uuid:784ef862-9571-4880-b074-a4a30e1b094c
https://ora.ox.ac.uk/objects/uuid:784ef862-9571-4880-b074-a4a30e1b094c
Autor:
Radek Erban, Simon L. Cotter
Publikováno v:
Cotter, S & Erban, R 2016, ' ERROR ANALYSIS OF DIFFUSION APPROXIMATION METHODS FOR MULTISCALE SYSTEMS IN REACTION KINETICS ', S I A M Journal on Scientific Computing, vol. 38, no. 1, pp. 144-163 . https://doi.org/10.1137/14100052X
Several different methods exist for efficient approximation of paths in multiscale stochastic chemical systems. Another approach is to use bursts of stochastic simulation to estimate the parameters of a stochastic differential equation approximation
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::04a2716587bc36501c814913d663dca5
https://doi.org/10.1137/14100052X
https://doi.org/10.1137/14100052X
Autor:
Simon L. Cotter, David F. Anderson
Publikováno v:
Bulletin of Mathematical Biology
Anderson, D F & Cotter, S 2016, ' Product-form stationary distributions for deciency zero networks with non-mass action kinetics ', The B.E. Journal of Macroeconomics, vol. 78, no. 12, pp. 2390-2407 . https://doi.org/10.1007/s11538-016-0220-y
Anderson, D F & Cotter, S 2016, ' Product-form stationary distributions for deciency zero networks with non-mass action kinetics ', The B.E. Journal of Macroeconomics, vol. 78, no. 12, pp. 2390-2407 . https://doi.org/10.1007/s11538-016-0220-y
In many applications, for example when computing statistics of fast subsystems in a multiscale setting, we wish to find the stationary distributions of systems of continuous time Markov chains. Here we present a class of models that appears naturally
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::83011b02f8784059c66b02b1534541aa
Publikováno v:
Journal of the Royal Society Interface
Cotter, S L, Klika, V, Kimpton, L, Collins, S & Heazell, A E P 2014, ' A stochastic model for early placental development. ', Journal of the Royal Society, Interface / the Royal Society, vol. 11, no. 97, 20140149 . https://doi.org/10.1098/rsif.2014.0149
Cotter, S L, Klika, V, Kimpton, L, Collins, S & Heazell, A E P 2014, ' A stochastic model for early placental development. ', Journal of the Royal Society, Interface / the Royal Society, vol. 11, no. 97, 20140149 . https://doi.org/10.1098/rsif.2014.0149
In the human, placental structure is closely related to placental function and consequent pregnancy outcome. Studies have noted abnormal placental shape in small-for-gestational-age infants which extends to increased lifetime risk of cardiovascular d
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::d8d41db26eb0d715562935917ee116a9
http://europepmc.org/articles/PMC4208356
http://europepmc.org/articles/PMC4208356
Publikováno v:
Cotter, S L, Roberts, G O, Stuart, A M & White, D 2013, ' Mcmc methods for functions: Modifying old algorithms to make them faster ', Statistical Science, vol. 28, no. 3, pp. 424-446 . https://doi.org/10.1214/13-STS421
Statist. Sci. 28, no. 3 (2013), 424-446
Statistical Science
Cotter, S L, Roberts, G O, Stuart, A M & White, D 2013, ' Mcmc methods for functions: Modifying old algorithms to make them faster ' Statistical Science, vol. 28, no. 3, pp. 424-446 . https://doi.org/10.1214/13-STS421
Statist. Sci. 28, no. 3 (2013), 424-446
Statistical Science
Cotter, S L, Roberts, G O, Stuart, A M & White, D 2013, ' Mcmc methods for functions: Modifying old algorithms to make them faster ' Statistical Science, vol. 28, no. 3, pp. 424-446 . https://doi.org/10.1214/13-STS421
Many problems arising in applications result in the need to probe a probability distribution for functions. Examples include Bayesian nonparametric statistics and conditioned diffusion processes. Standard MCMC algorithms typically become arbitrarily
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::1c010659699a38b2bb79fc64870c2570
https://pure.manchester.ac.uk/ws/files/21231035/POST-PEER-REVIEW-NON-PUBLISHERS.PDF
https://pure.manchester.ac.uk/ws/files/21231035/POST-PEER-REVIEW-NON-PUBLISHERS.PDF
Publikováno v:
Cotter, S L, Vejchodský, T & Erban, R 2013, ' Adaptive finite element method assisted by stochastic simulation of chemical systems ', SIAM Journal on Scientific Computing, vol. 35, no. 1, pp. B107-B131 . https://doi.org/10.1137/120877374
SIAM Journal on Scientific Computing
SIAM Journal on Scientific Computing
Stochastic models of chemical systems are often analysed by solving the corresponding Fokker-Planck equation which is a drift-diffusion partial differential equation for the probability distribution function. Efficient numerical solution of the Fokke
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::974c2391a08ecf88b123b7bb2c3a800a
https://doi.org/10.1137/120877374
https://doi.org/10.1137/120877374