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

DOI10.3934/mbe.2020338zbMath1471.92124arXiv2006.14985OpenAlexW3087822464WikidataQ104619326 ScholiaQ104619326MaRDI QIDQ1979530

Maxime Herda, Sepideh Mirrahimi, Pierre Degond

Publication date: 3 September 2021

Published in: Mathematical Biosciences and Engineering (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2006.14985

zbMATH Keywords

Fokker-Planck equationsgene expressionmicrornainverse gamma distributions

Mathematics Subject Classification ID

Biochemistry, molecular biology (92C40) Systems biology, networks (92C42) Fokker-Planck equations (35Q84)

Related Items (2)

Nonlinear inhomogeneous Fokker–Planck models: Energetic-variational structures and long-time behavior ⋮ Local well-posedness of a nonlinear Fokker–Planck model

Uses Software

• DLMF

Cites Work

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• Steady states of Fokker-Planck equations. I: Existence
• Exponential concentration for first passage percolation through modified Poincaré inequalities
• On extensions of the Brunn-Minkowski and Prekopa-Leindler theorems, including inequalities for log concave functions, and with an application to the diffusion equation
• Elliptic partial differential equations of second order
• From Brunn-Minkowski to Brascamp-Lieb and to logarithmic Sobolev inequalities
• Parabolic equations in biology. Growth, reaction, movement and diffusion
• Integral identity and measure estimates for stationary Fokker-Planck equations
• A stroll along the gamma
• A practical difference scheme for Fokker-Planck equations
• Refined convex Sobolev inequalities
• ON CONVEX SOBOLEV INEQUALITIES AND THE RATE OF CONVERGENCE TO EQUILIBRIUM FOR FOKKER-PLANCK TYPE EQUATIONS
• Finite-volume schemes for noncoercive elliptic problems with Neumann boundary conditions
• Dimensional Reduction of the Fokker–Planck Equation for Stochastic Chemical Reactions
• Fokker–Planck–Kolmogorov Equations
• Hypocoercivity and diffusion limit of a finite volume scheme for linear kinetic equations

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