ASYMMETRIC CELL DIVISION IN A SIZE-STRUCTURED GROWTH MODEL

被引：0
|
作者：
Suebcharoen, T. [1 ]
Van Brunt, B. [2 ]
Wake, G. C. [1 ]
机构：
[1] Massey Univ, Inst Informat & Math Sci, Auckland, New Zealand
[2] Massey Univ, Inst Fundamental Sci, Palmerston North, New Zealand
来源：
DIFFERENTIAL AND INTEGRAL EQUATIONS | 2011年 / 24卷 / 7-8期
关键词：
FUNCTIONAL-DIFFERENTIAL EQUATION;
D O I：
暂无
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
A model for the simultaneous growth and division of a cell population structured by size is examined. The case considered here is that of asymmetrical cell division when cells are dividing into beta(1) and beta(2) daughter cells at a constant rate and the parameters for growth and mortality are constants. The model has a steady-size distribution solution which satisfies a nonlocal differential equation. The solution is in the form of a Dirichlet series which is shown to be the unique probability density function for the steady-size distribution.
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页码：787 / 799
页数：13
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