A nonlinear model of age and size-structured populations with applications to cell cycles

被引：12

作者：

Chapman, S. J. ^{[2
]}

Plank, M. J. ^{[1
]}

James, A. ^{[1
]}

Basse, B. ^{[1
]}

机构：

[1] Univ Canterbury, Biomath Res Ctr, Christchurch 1, New Zealand

[2] Univ Oxford, Inst Math, Oxford OX1 3LB, England

来源：

ANZIAM JOURNAL | 2007年 / 49卷

关键词：

age-structure; size-structure; populations; cell cycle; mathematical model;

D O I：

10.1017/S144618110001275X

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The Sharpe-Lotka-McKendrick (or von Foerster) equations for an age-structured population, with a nonlinear term to represent overcrowding or competition for resources, are considered. The model is extended to include a growth term, allowing the population to be structured by size or weight rather than age, and a general solution is presented. Various examples are then considered, including the case of cell growth where cells divide at a given size.

引用

页码：151 / 169

页数：19

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