Asymmetric potentials and motor effect: a homogenization approach

DOI10.1016/j.anihpc.2008.10.003zbMath1180.35081OpenAlexW2052654056WikidataQ60502819 ScholiaQ60502819MaRDI QIDQ1044378

Panagiotis E. Souganidis, Perthame, Benoît

Publication date: 18 December 2009

Published in: Annales de l'Institut Henri Poincaré. Analyse Non Linéaire (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/78924

zbMATH Keywords

Hamilton-Jacobi equationseffective Hamiltonianmolecular motorsconcentration phenomena

Mathematics Subject Classification ID

Singular perturbations in context of PDEs (35B25) Biophysics (92C05) Viscosity solutions to Hamilton-Jacobi equations in optimal control and differential games (49L25) Homogenization in context of PDEs; PDEs in media with periodic structure (35B27) Hamilton-Jacobi equations (35F21)

Related Items (13)

Mesoscopic models in biology ⋮ Mass transport in Fokker–Planck equations with tilted periodic potential ⋮ A homogenization approach for the motion of motor proteins ⋮ Homogenization of nonlinear reaction-diffusion equation with a large reaction term ⋮ A homogenization approach to flashing ratchets ⋮ Large‐scale asymptotics of velocity‐jump processes and nonlocal Hamilton–Jacobi equations ⋮ A free energy based mathematical study for molecular motors ⋮ Homogenization and concentration for a diffusion equation with large convection in a bounded domain ⋮ Concentration phenomena for neutronic multigroup diffusion in random environments ⋮ Analytical aspects of the Brownian motor effect in randomly flashing ratchets ⋮ On the Bulk Velocity of Brownian Ratchets ⋮ Spreading in kinetic reaction–transport equations in higher velocity dimensions ⋮ Jump processes as generalized gradient flows

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Asymmetric potentials and motor effect: a large deviation approach
• Homogenization of a convection-diffusion model with reaction in a porous medium
• Asymptotic velocity of one dimensional diffusions with periodic drift
• Wavefront propagation for reaction-diffusion systems of PDE
• Diffusion-mediated transport and the flashing ratchet.
• A variational principle for molecular motors
• Homogenization of a spectral problem in neutronic multigroup diffusion.
• Molecular motors, Brownian ratchets, and reflected diffusions
• The dynamics of adaptation: An illuminating example and a Hamilton--Jacobi approach
• DIFFUSION MEDIATED TRANSPORT WITH A LOOK AT MOTOR PROTEINS
• User’s guide to viscosity solutions of second order partial differential equations
• Homogenization of a neutronic critical diffusion problem with drift
• The perturbed test function method for viscosity solutions of nonlinear PDE
• Stochastic Stokes' Drift, Homogenized Functional Inequalities, and Large Time Behavior of Brownian Ratchets
• Transport in a molecular motor system
• Homogenization of periodic non self-adjoint problems with large drift and potential

This page was built for publication: Asymmetric potentials and motor effect: a homogenization approach