English
Stochastic modeling for population dynamics: simulation and inference - Part 3
Multi angle
Auteurs : de Saporta, Benoîte (Auteur de la conférence)
CIRM (Editeur )
60Jxx - Markov processes
90Cxx - Mathematical programming
92Bxx - Mathematical biology in general
CIRM (Editeur )
Loading the player...
|
Résumé :
The aim of this course is to present some examples of stochastic models suitable for population dynamics.
The first part will introduce a class of continuous time models called piecewise deterministic Markov processes (PDMPs). Their trajectories are deterministic with jumps at random times. They are especially suitable to model phenomena with different time scales: a fast time-sacla corresponding to the deterministic behaviour and a slow time-scale corresponding to the jumps. I'll present different biological systems that can be modelled by PDMPs, explain how they can be simulated.
The second part will focus on random models for cell division when the whole branching population is taken into account. I'll present two data sets from biological experiments trying to determine whether cell division is symmetric or not. I'll explain how statistic tools can help answer this question.
Mots-Clés : Markov process; numeric probabilities; stochastic control; applications to biology
Codes MSC : The first part will introduce a class of continuous time models called piecewise deterministic Markov processes (PDMPs). Their trajectories are deterministic with jumps at random times. They are especially suitable to model phenomena with different time scales: a fast time-sacla corresponding to the deterministic behaviour and a slow time-scale corresponding to the jumps. I'll present different biological systems that can be modelled by PDMPs, explain how they can be simulated.
The second part will focus on random models for cell division when the whole branching population is taken into account. I'll present two data sets from biological experiments trying to determine whether cell division is symmetric or not. I'll explain how statistic tools can help answer this question.
Mots-Clés : Markov process; numeric probabilities; stochastic control; applications to biology
60Jxx - Markov processes
90Cxx - Mathematical programming
92Bxx - Mathematical biology in general
|
Informations sur la Vidéo
Réalisateur : Récanzone, LucaLangue : Anglais Date de Publication : 21/02/2020 Date de Captation : 04/02/2020 Sous Collection : Research talks Catégorie arXiv : Probability Domaine(s) : Probabilités & Statistiques Format : MP4 (.mp4) - HD Durée : 01:14:33 Audience : Chercheurs Download : https://videos.cirm-math.fr/2020-02-04_Saporta_Part3.mp4 
|
Informations sur la Rencontre
Nom de la Rencontre : Thematic Month Week 1: PDE and Probability for Biology / Mois thématique Semaine 1 : EDP et probabilité pour la biologieOrganisateurs de la Rencontre : Chapuisat, Guillemette ; Cloez, Bertrand ; Henderson, Christopher ; Hubert, Florence ; Pudlo, Pierre ; Raoul, Gaël Dates : 03/02/2020 - 07/02/2020 Année de la rencontre : 2020 URL de la Rencontre : https://conferences.cirm-math.fr/2301.html
Données de citation
DOI : 10.24350/CIRM.V.19604503Citer cette vidéo: de Saporta, Benoîte (2020). Stochastic modeling for population dynamics: simulation and inference - Part 3. CIRM. Audiovisual resource. doi:10.24350/CIRM.V.19604503 URI : http://dx.doi.org/10.24350/CIRM.V.19604503 |
Voir Aussi
- [Multi angle] Stochastic modeling for population dynamics: simulation and inference - Part 2 / Auteur de la conférence de Saporta, Benoîte.
- [Multi angle] Stochastic modeling for population dynamics: simulation and inference - Part 1 / Auteur de la conférence de Saporta, Benoîte.
Bibliographie
- COWAN, Richard et STAUDTE, Robert. The bifurcating autoregression model in cell lineage studies. Biometrics, 1986, p. 769-783. - http://dx.doi.org/10.2307/2530692
- STEWART, Eric J., MADDEN, Richard, PAUL, Gregory, et al. Aging and death in an organism that reproduces by morphologically symmetric division. PLoS biology, 2005, vol. 3, no 2. - https://doi.org/10.1371/journal.pbio.0030045
- GUYON, Julien, et al. Limit theorems for bifurcating Markov chains. Application to the detection of cellular aging. The Annals of Applied Probability, 2007, vol. 17, no 5/6, p. 1538-1569. - https://arxiv.org/abs/0710.5434
- GÉGOUT-PETIT, Anne, DE SAPORTA, Benoîte, et BERCU, Bernard. Asymptotic Analysis for Bifurcating Autoregressive Processes via a martingale approach. - https://arxiv.org/abs/0807.0528
- DELMAS, Jean-François et MARSALLE, Laurence. Detection of cellular aging in a Galton–Watson process. Stochastic Processes and their Applications, 2010, vol. 120, no 12, p. 2495-2519. - https://dx.doi.org/10.1016/j.spa.2010.07.002
- DE SAPORTA, Benoîte, GÉGOUT-PETIT, Anne, MARSALLE, Laurence, et al. Parameters estimation for asymmetric bifurcating autoregressive processes with missing data. Electronic Journal of Statistics, 2011, vol. 5, p. 1313-1353. - https://dx.doi.org/10.1214/11-EJS643
- WANG, Ping, ROBERT, Lydia, PELLETIER, James, et al. Robust growth of Escherichia coli. Current biology, 2010, vol. 20, no 12, p. 1099-1103. - https://doi.org/10.1016/j.cub.2010.04.045
- DE SAPORTA, Benoîte, GÉGOUT-PETIT, Anne, et MARSALLE, Laurence. Asymmetry tests for bifurcating auto-regressive processes with missing data. Statistics & Probability Letters, 2012, vol. 82, no 7, p. 1439-1444. - https://arxiv.org/abs/1112.3745
- DE SAPORTA, Benoîte, GÉGOUT-PETIT, Anne, et MARSALLE, Laurence. Random coefficients bifurcating autoregressive processes. ESAIM: Probability and Statistics, 2014, vol. 18, p. 365-399. - https://arxiv.org/abs/1205.3658
- DE SAPORTA, Benoíte, GÉGOUT-PETIT, Anne, et MARSALLE, Laurence. Statistical study of asymmetry in cell lineage data. Computational Statistics & Data Analysis, 2014, vol. 69, p. 15-39. - https://dx.doi.org/10.1016/j.csda.2013.07.025
- DELYON, Bernard, DE SAPORTA, Benoîte, KRELL, Nathalie, et al. Investigation of asymmetry in E. coli growth rate. arXiv preprint arXiv:1509.05226, 2015. - https://arxiv.org/abs/1509.05226
