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
Descripción
Sumario: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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