Piecewise Deterministic Markov Processes in Biological Models

被引：14
|
作者：
Rudnicki, Ryszard [1 ]
Tyran-Kaminska, Marta [2 ]
机构：
[1] Polish Acad Sci, Inst Math, PL-40007 Katowice, Poland
[2] Univ Silesia, Inst Math, PL-40007 Katowice, Poland
来源：
SEMIGROUPS OF OPERATORS - THEORY AND APPLICATIONS | 2015年 / 113卷
关键词：
NEURONAL VARIABILITY; GENE-EXPRESSION; SEMIGROUPS; SYSTEMS; DENSITIES; STABILITY; EVOLUTION; FAMILIES;
D O I：
10.1007/978-3-319-12145-1_15
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We present a short introduction into the framework of piecewise deterministic Markov processes. We illustrate the abstract mathematical setting with a series of examples related to dispersal of biological systems, cell cycle models, gene expression, physiologically structured populations, as well as neural activity. General results concerning asymptotic properties of stochastic semigroups induced by such Markov processes are applied to specific examples.
引用
收藏
页码：235 / 255
页数：21
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