A Survey of Cell Population Dynamics

Author:

Arino O.1,Sánchez E.2

Affiliation:

1. Laboratorie de Mathématiques Appliqués, I.P.R.A. Université de Pau, 64000 Pau, France

2. Dpto Mathemáticas, E.T.S.I.Indusriales, U.P.M., C/José Gutiérrez Abascal, 2, 28006 Madrid, Spain

Abstract

A Survey of cell-population models is presented. The so-called cell cycle is discussed, including some models which are not population models but which contribute to the better understanding proliferation of cell dynamics. Classical linear models of structured cell-population models are described with a review of classical results and a comparison between different approaches. Finally, some non-linear models are also developed.

Publisher

Hindawi Limited

Subject

General Biochemistry, Genetics and Molecular Biology

Cited by 16 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. Modeling the Growth and Size Distribution of Human Pluripotent Stem Cell Clusters in Culture;Bulletin of Mathematical Biology;2024-06-25

2. Equivalence framework for an age-structured multistage representation of the cell cycle;Physical Review E;2022-06-21

3. Parabolic Equations;Applied Mathematical Sciences;2018

4. Blood Cell Dynamics: Half of a Century of Modelling;Mathematical Modelling of Natural Phenomena;2016

5. On a nonlinear renewal equation with diffusion;Mathematical Methods in the Applied Sciences;2015-05-19

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