Journal of Theoretical Medicine
Volume 1 (1997), Issue 1, Pages 35-51
doi:10.1080/10273669708833005

A Survey of Cell Population Dynamics

1Laboratorie de Mathématiques Appliqués, I.P.R.A. Université de Pau, 64000 Pau, France
2Dpto Mathemáticas, E.T.S.I.Indusriales, U.P.M., C/José Gutiérrez Abascal, 2, 28006 Madrid, Spain

Copyright © 1997 Hindawi Publishing Corporation. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

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.