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Reverse mathematical methods for reconstructing molecular dynamics in single cell

Stochastic single gene expression model: analytical results on bursting models

speaker: Romain Yvinec (INRA Tours)

abstract: In this talk, I will present stochastic models of self-regulating gene expression. I will present adiabatic limiting procedure that allows to reduce the dimension of the models (Yvinec et al. (2014)). Some of the limiting models obtained are piecewise deterministic Markov models (PDMP), and faithfully reproduce the so-called bursting phenomena. I will show that these reduced models can be studied in details: asymptotic convergence, bifurcation, switching times, and eventually parameter estimation through inverse problem (Mackey et al. (2011, 2013)). I will explain how such study may have implication on the understanding on gene regulation mechanism.


Michael C. Mackey, Marta Tyran-Kaminska, and Romain Yvinec. Molecular distributions in gene regulatory dynamics. Journal of Theoretical Biology, 274(1):84{96, April 2011. ISSN 0022-5193. doi:10.1016j.jtbi.2011.01.020.

Michael C Mackey, Marta Tyran-Kaminska, and Romain Yvinec. Dynamic behavior of stochastic gene expression models in the presence of bursting. SIAM Journal on Applied Mathematics, 73(5):1830{1852, 2013. doi:10.113712090229X.

Romain Yvinec, Changjing Zhuge, Jinzhi Lei, and Michael C. Mackey. Adiabatic reduction of a piecewise deterministic markov model of stochastic gene expression with bursting transcription. Journal of Mathematical Biology, 68(5):1051{1070, 2014. doi: 10.1007s00285-013-0661-y.

Thu 18 Oct, 12:15 - 13:00, Aula Dini
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