Zobrazeno 1 - 10
of 110
pro vyhledávání: '"B. van Brunt"'
Publikováno v:
Partial Differential Equations in Applied Mathematics, Vol 11, Iss , Pp 100814- (2024)
In this paper, we consider a mathematical model for cell division using a Pantograph-type nonlocal partial differential equation, accompanied by relevant initial and boundary conditions. This formulation results in a nonlocal singular eigenvalue prob
Externí odkaz:
https://doaj.org/article/00c3a2c117fc40dd87ab12b06bd97db5
Akademický článek
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Akademický článek
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Publikováno v:
Biometrika. 108:609-626
Summary For statistical linear inverse problems involving count data, inference typically requires sampling a latent variable with conditional support comprising of the lattice points in a convex polytope. Irreducibility of random walk samplers is gu
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::465e48ae24265fda4210aacef5cefdd9
https://doi.org/10.1093/biomet/asaa083
https://doi.org/10.1093/biomet/asaa083
Akademický článek
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Publikováno v:
Bulletin of mathematical biology. 84(8)
Spatiotemporal patterns are common in biological systems. For electrically coupled cells, previous studies of pattern formation have mainly used applied current as the primary bifurcation parameter. The purpose of this paper is to show that applied c
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::2e1370d9e6f6ecf647b3ee427b458e1f
https://pubmed.ncbi.nlm.nih.gov/35804271
https://pubmed.ncbi.nlm.nih.gov/35804271
Evidence from experimental studies shows that oscillations due to electro-mechanical coupling can be generated spontaneously in smooth muscle cells. Such cellular dynamics are known as \textit{pacemaker dynamics}. In this article we address pacemaker
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::6a1f9f19166d4d9b74f1675b2160726e
http://arxiv.org/abs/2004.00343
http://arxiv.org/abs/2004.00343
Publikováno v:
ESAIM: Proceedings and Surveys, Vol 62, Pp 158-167 (2018)
Simple models for size structured cell populations undergoing growth and division produce a class of functional ordinary differential equations, called pantograph equations, that describe the long time asymptotics of the cell number density. Pantogra
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::9a3229848e133848166965452d59b90c
https://doi.org/10.1051/proc/201862158
https://doi.org/10.1051/proc/201862158
Publikováno v:
Journal of theoretical biology. 477
The magnitude of the Gibbs free energy change of the substrate transformation that supports the growth of a microbe is decreased when the concentrations of the substrates are decreased and when the concentrations of the products of metabolism are inc
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::9e77ef9fe549e27013d86f211636da69
https://pubmed.ncbi.nlm.nih.gov/31150665
https://pubmed.ncbi.nlm.nih.gov/31150665
Autor:
B. van Brunt, Graeme C. Wake
Publikováno v:
European Journal of Applied Mathematics. 22:151-168
In this paper we study the probability density function solutions to a second-order pantograph equation with a linear dispersion term. The functional equation comes from a cell growth model based on the Fokker–Planck equation. We show that the equa
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::b1c8aaac68f1893d0b632a8bb8172f9d
https://doi.org/10.1017/s0956792510000367
https://doi.org/10.1017/s0956792510000367