Probabilistic and Piecewise Deterministic models in Biology
We present recent results on Piecewise Deterministic Markov Processes (PDMPs), involved in biological modeling. PDMPs, first introduced in the probabilistic literature by [30], are a very general class of Markov processes and are being increasingly popular in biological applications. They also give...
| Main Authors: | , , , , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
EDP Sciences
2017-01-01
|
| Series: | ESAIM: Proceedings and Surveys |
| Online Access: | https://doi.org/10.1051/proc/201760225 |
| _version_ | 1797965239166173184 |
|---|---|
| author | Cloez Bertrand Dessalles Renaud Genadot Alexandre Malrieu Florent Marguet Aline Yvinec Romain |
| author_facet | Cloez Bertrand Dessalles Renaud Genadot Alexandre Malrieu Florent Marguet Aline Yvinec Romain |
| author_sort | Cloez Bertrand |
| collection | DOAJ |
| description | We present recent results on Piecewise Deterministic Markov Processes (PDMPs), involved in biological modeling. PDMPs, first introduced in the probabilistic literature by [30], 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. |
| first_indexed | 2024-04-11T01:56:53Z |
| format | Article |
| id | doaj.art-f0038d2040de4d66923b6782d7387055 |
| institution | Directory Open Access Journal |
| issn | 2267-3059 |
| language | English |
| last_indexed | 2024-04-11T01:56:53Z |
| publishDate | 2017-01-01 |
| publisher | EDP Sciences |
| record_format | Article |
| series | ESAIM: Proceedings and Surveys |
| spelling | doaj.art-f0038d2040de4d66923b6782d73870552023-01-03T05:13:47ZengEDP SciencesESAIM: Proceedings and Surveys2267-30592017-01-016022524510.1051/proc/201760225proc186012Probabilistic and Piecewise Deterministic models in BiologyCloez BertrandDessalles RenaudGenadot AlexandreMalrieu FlorentMarguet AlineYvinec RomainWe present recent results on Piecewise Deterministic Markov Processes (PDMPs), involved in biological modeling. PDMPs, first introduced in the probabilistic literature by [30], 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.https://doi.org/10.1051/proc/201760225 |
| spellingShingle | Cloez Bertrand Dessalles Renaud Genadot Alexandre Malrieu Florent Marguet Aline Yvinec Romain Probabilistic and Piecewise Deterministic models in Biology ESAIM: Proceedings and Surveys |
| title | Probabilistic and Piecewise Deterministic models in Biology |
| title_full | Probabilistic and Piecewise Deterministic models in Biology |
| title_fullStr | Probabilistic and Piecewise Deterministic models in Biology |
| title_full_unstemmed | Probabilistic and Piecewise Deterministic models in Biology |
| title_short | Probabilistic and Piecewise Deterministic models in Biology |
| title_sort | probabilistic and piecewise deterministic models in biology |
| url | https://doi.org/10.1051/proc/201760225 |
| work_keys_str_mv | AT cloezbertrand probabilisticandpiecewisedeterministicmodelsinbiology AT dessallesrenaud probabilisticandpiecewisedeterministicmodelsinbiology AT genadotalexandre probabilisticandpiecewisedeterministicmodelsinbiology AT malrieuflorent probabilisticandpiecewisedeterministicmodelsinbiology AT marguetaline probabilisticandpiecewisedeterministicmodelsinbiology AT yvinecromain probabilisticandpiecewisedeterministicmodelsinbiology |