scholarly journals Piecewise Deterministic Markov Processes in Biological Models

2014 ◽  
pp. 235-255 ◽  
Author(s):  
Ryszard Rudnicki ◽  
Marta Tyran-Kamińska
Keyword(s):  
Markov Processes ◽  
Biological Models ◽  
Piecewise Deterministic Markov Processes

scholarly journals Stochastic semigroups and their applications to biological models

2012 ◽  
Vol 45 (2) ◽  
Author(s):  
Katarzyna Pichór ◽  
Ryszard Rudnicki ◽  
Marta Tyran-Kamińska
Keyword(s):  
Markov Processes ◽  
Asymptotic Properties ◽  
Biological Models ◽  
Genes Expression ◽  
Piecewise Deterministic Markov Processes ◽  
Birth Death

AbstractSome recent results concerning generation and asymptotic properties of stochastic semigroups are presented. The general results are applied to biological models described by piecewise deterministic Markov processes: birth-death processes, the evolution of the genome, genes expression and physiologically structured models.

scholarly journals Supports of invariant measures for piecewise deterministic Markov processes

Nonlinearity ◽  
2017 ◽  
Vol 30 (9) ◽  
pp. 3400-3418 ◽  
Author(s):  
M Benaïm ◽  
F Colonius ◽  
R Lettau
Keyword(s):  
Markov Processes ◽  
Invariant Measures ◽  
Piecewise Deterministic Markov Processes
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