A Fokker-Planck approach to the study of robustness in gene expression

Autor: Pierre Degond, Maxime Herda, Sepideh Mirrahimi

Publikováno v: Mathematical Biosciences and Engineering, Vol 17, Iss 6, Pp 6459-6486 (2020)

We study several Fokker-Planck equations arising from a stochastic chemical kinetic system modeling a gene regulatory network in biology. The densities solving the Fokker-Planck equations describe the joint distribution of the mRNA and μRNA content

Externí odkaz: https://doaj.org/article/275737c752ec4c1ba96b170abcd6e587

Non-local competition slows down front acceleration during dispersal evolution

Autor: Vincent Calvez, Christopher Henderson, Sepideh Mirrahimi, Olga Turanova, Thierry Dumont

Publikováno v: Annales Henri Lebesgue
Annales Henri Lebesgue, 2022, 5, pp.1-71. ⟨10.5802/ahl.117⟩

We investigate the super-linear spreading in a reaction-diffusion model analogous to the Fisher-KPP equation, but in which the population is heterogeneous with respect to the dispersal ability of individuals, and the saturation factor is non-local wi

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::29bc03a6529cf467f0e40164f9382054
https://hal.science/hal-01963994

A Hamilton–Jacobi method to describe the evolutionary equilibria in heterogeneous environments and with non-vanishing effects of mutations

Autor: Sylvain Gandon, Sepideh Mirrahimi

Publikováno v: Comptes Rendus. Mathématique
Comptes Rendus. Mathématique, Académie des sciences (Paris), 2016, 355 (2), pp.155-160. ⟨10.1016/j.crma.2016.12.001⟩
Comptes Rendus Mathématique
Comptes Rendus Mathématique, Elsevier Masson, 2016, 355 (2), pp.155-160. ⟨10.1016/j.crma.2016.12.001⟩
Comptes Rendus. Mathématique, 2016, 355 (2), pp.155-160. ⟨10.1016/j.crma.2016.12.001⟩
Comptes Rendus Mathematique

In this note, we characterize the solution of a system of elliptic integro-differential equations describing a phe-notypically structured population subject to mutation, selection and migration. Generalizing an approach based on Hamilton-Jacobi equat

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::0e6662f53dde76f6e55e5a09058ad8e4

Propagation in a fractional reaction-diffusion equation in a periodically hostile environment

Autor: Sepideh Mirrahimi, Alexis Léculier, Jean-Michel Roquejoffre

Publikováno v: Journal of Dynamics and Differential Equations
Journal of Dynamics and Differential Equations, Springer Verlag, In press, ⟨10.1007/s10884-020-09837-4⟩
Journal of Dynamics and Differential Equations, In press, ⟨10.1007/s10884-020-09837-4⟩

We provide an asymptotic analysis of a fractional Fisher-KPP type equation in periodic non-connected media with Dirichlet conditions outside the domain. After showing the existence and uniqueness of a non-trivial bounded stationary state $$n_+$$ , we

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::aa6be65cec335889a2258fb9b60869c9
https://hal.archives-ouvertes.fr/hal-02124875

Evolution of specialization in heterogeneous environments: equilibrium between selection, mutation and migration

Autor: Sepideh Mirrahimi, Sylvain Gandon

Publikováno v: Genetics
Genetics, In press, ⟨10.1534/genetics.119.302868⟩
Genetics, Genetics Society of America, In press
Genetics, Genetics Society of America, In press, ⟨10.1534/genetics.119.302868⟩

Adaptation in spatially heterogeneous environments results from the balance between local selection, mutation, and migration. We study the interplay among these different evolutionary forces and demography in a classical two-habitat scenario with ase

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::10c25188518d770eb02b5390572fb9b5
https://doi.org/10.1101/353458