On the characteristic equation [Formula: see text] and its use in the context of a cell population model

In this paper we characterize the stability boundary in the [Formula: see text] -plane, for fixed [Formula: see text] with [Formula: see text], for the characteristic equation from the title. Subsequently we describe a nonlinear cell population model involving quiescence and show that this character...

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Detalles Bibliográficos
Autores principales: Diekmann, Odo, Getto, Philipp, Nakata, Yukihiko
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Springer Berlin Heidelberg 2015
Materias:
Article
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC4751237/
https://www.ncbi.nlm.nih.gov/pubmed/26245246
http://dx.doi.org/10.1007/s00285-015-0918-8
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author Diekmann, Odo
Getto, Philipp
Nakata, Yukihiko
author_facet Diekmann, Odo
Getto, Philipp
Nakata, Yukihiko
author_sort Diekmann, Odo
collection PubMed
description In this paper we characterize the stability boundary in the [Formula: see text] -plane, for fixed [Formula: see text] with [Formula: see text], for the characteristic equation from the title. Subsequently we describe a nonlinear cell population model involving quiescence and show that this characteristic equation governs the (in)stability of the nontrivial steady state. By relating the parameters of the cell model to the [Formula: see text] , we are able to derive some biological conclusions. ELECTRONIC SUPPLEMENTARY MATERIAL: The online version of this article (doi:10.1007/s00285-015-0918-8) contains supplementary material, which is available to authorized users.
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spelling pubmed-47512372016-02-22 On the characteristic equation [Formula: see text] and its use in the context of a cell population model Diekmann, Odo Getto, Philipp Nakata, Yukihiko J Math Biol Article In this paper we characterize the stability boundary in the [Formula: see text] -plane, for fixed [Formula: see text] with [Formula: see text], for the characteristic equation from the title. Subsequently we describe a nonlinear cell population model involving quiescence and show that this characteristic equation governs the (in)stability of the nontrivial steady state. By relating the parameters of the cell model to the [Formula: see text] , we are able to derive some biological conclusions. ELECTRONIC SUPPLEMENTARY MATERIAL: The online version of this article (doi:10.1007/s00285-015-0918-8) contains supplementary material, which is available to authorized users. Springer Berlin Heidelberg 2015-08-06 2016 /pmc/articles/PMC4751237/ /pubmed/26245246 http://dx.doi.org/10.1007/s00285-015-0918-8 Text en © The Author(s) 2015 Open AccessThis article is distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution, and reproduction in any medium, provided you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made.
spellingShingle Article
Diekmann, Odo
Getto, Philipp
Nakata, Yukihiko
On the characteristic equation [Formula: see text] and its use in the context of a cell population model
title On the characteristic equation [Formula: see text] and its use in the context of a cell population model
title_full On the characteristic equation [Formula: see text] and its use in the context of a cell population model
title_fullStr On the characteristic equation [Formula: see text] and its use in the context of a cell population model
title_full_unstemmed On the characteristic equation [Formula: see text] and its use in the context of a cell population model
title_short On the characteristic equation [Formula: see text] and its use in the context of a cell population model
title_sort on the characteristic equation [formula: see text] and its use in the context of a cell population model
topic Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC4751237/
https://www.ncbi.nlm.nih.gov/pubmed/26245246
http://dx.doi.org/10.1007/s00285-015-0918-8
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