تقرير
Probabilistic and Piecewise Deterministic models in Biology
| العنوان: | Probabilistic and Piecewise Deterministic models in Biology |
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| المؤلفون: | Cloez, Bertrand, Dessalles, Renaud, Genadot, Alexandre, Malrieu, Florent, Marguet, Aline, Yvinec, Romain |
| المصدر: | ESAIM: Procs 60:225-245 (2017) |
| سنة النشر: | 2017 |
| المجموعة: | Mathematics Quantitative Biology |
| مصطلحات موضوعية: | Mathematics - Probability, Quantitative Biology - Quantitative Methods |
| الوصف: | We present recent results on Piecewise Deterministic Markov Processes (PDMPs), involved in biological modeling. PDMPs, first introduced in the probabilistic literature by Davis (1984), are a very general class of Markov processes and are being increasingly popular in biological applications. They also give new interesting challenges from the theoretical point of view. We give here different examples on the long time behavior of switching Markov models applied to population dynamics, on uniform sampling in general branching models applied to structured population dynamic, on time scale separation in integrate-and-fire models used in neuroscience, and, finally, on moment calculus in stochastic models of gene expression. Comment: Proceedings of the journ\'ees MAS 2016, session Probabilistic and Piecewise Deterministic models in Biology |
| نوع الوثيقة: | Working Paper |
| DOI: | 10.1051/proc/201760225 |
| URL الوصول: | http://arxiv.org/abs/1706.09163 |
| رقم الأكسشن: | edsarx.1706.09163 |
| قاعدة البيانات: | arXiv |
| DOI: | 10.1051/proc/201760225 |
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