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arXiv · 1512.02093

Piecewise deterministic Markov processes in biological models

Ryszard Rudnicki·Marta Tyran-Kaminska
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Abstract

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.

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Ryszard Rudnicki, Marta Tyran-Kaminska. 2015-12-07. Piecewise deterministic Markov processes in biological models. https://doi.org/10.1007/978-3-319-12145-1_15

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