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.
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页码：151 / 169
页数：19
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