Equilibria of a cyclin structured cell population model

Ricardo Borges; Àngel Calsina; Sílvia Cuadrado

doi:10.3934/dcdsb.2009.11.613

Equilibria of a cyclin structured cell population model

Ricardo Borges, Àngel Calsina, Sílvia Cuadrado

Departament de Matemàtiques

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Resum

A nonlinear cyclin content structured cell population model is considered. The population is divided into two types of cells: proliferative and quiescent. Under suitable hypotheses, existence and uniqueness of a steady state of this model is proved by using positive linear semigroup theory.

Idioma original	English
Pàgines (de-a)	613-627
Revista	Discrete and Continuous Dynamical Systems - Series B
Volum	11
DOIs	https://doi.org/10.3934/dcdsb.2009.11.613
Estat de la publicació	Publicada - 1 de maig 2009

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10.3934/dcdsb.2009.11.613

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@article{1d657b0e59184b53a94a091dbc31eec2,

title = "Equilibria of a cyclin structured cell population model",

abstract = "A nonlinear cyclin content structured cell population model is considered. The population is divided into two types of cells: proliferative and quiescent. Under suitable hypotheses, existence and uniqueness of a steady state of this model is proved by using positive linear semigroup theory.",

keywords = "Dominant eigenvalue, Steady state, Structured cell population",

author = "Ricardo Borges and {\`A}ngel Calsina and S{\'i}lvia Cuadrado",

year = "2009",

month = may,

day = "1",

doi = "10.3934/dcdsb.2009.11.613",

language = "English",

volume = "11",

pages = "613--627",

journal = "Discrete and Continuous Dynamical Systems - Series B",

issn = "1531-3492",

publisher = "Southwest Missouri State University",

}

TY - JOUR

T1 - Equilibria of a cyclin structured cell population model

AU - Borges, Ricardo

AU - Calsina, Àngel

AU - Cuadrado, Sílvia

PY - 2009/5/1

Y1 - 2009/5/1

N2 - A nonlinear cyclin content structured cell population model is considered. The population is divided into two types of cells: proliferative and quiescent. Under suitable hypotheses, existence and uniqueness of a steady state of this model is proved by using positive linear semigroup theory.

AB - A nonlinear cyclin content structured cell population model is considered. The population is divided into two types of cells: proliferative and quiescent. Under suitable hypotheses, existence and uniqueness of a steady state of this model is proved by using positive linear semigroup theory.

KW - Dominant eigenvalue

KW - Steady state

KW - Structured cell population

U2 - 10.3934/dcdsb.2009.11.613

DO - 10.3934/dcdsb.2009.11.613

M3 - Article

SN - 1531-3492

VL - 11

SP - 613

EP - 627

JO - Discrete and Continuous Dynamical Systems - Series B

JF - Discrete and Continuous Dynamical Systems - Series B

ER -

Equilibria of a cyclin structured cell population model

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