On Curvature Driven Rotational Diffusion of Proteins on Membrane Surfaces

DOI10.1137/19M1241714zbMath1441.35010arXiv1803.03335MaRDI QIDQ5215739

Yongcheng Zhou

Publication date: 13 February 2020

Published in: SIAM Journal on Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1803.03335

zbMATH Keywords

energy functionalBessel functionsexistence and uniquenessprincipal curvaturesgeneralized Smoluchowski equationbilayer membraneprotein orientation

Mathematics Subject Classification ID

Variational methods applied to PDEs (35A15) Diffusion processes (60J60) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Initial value problems for second-order parabolic equations (35K15) Bessel and Airy functions, cylinder functions, ({}_0F_1) (33C10) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02) Fokker-Planck equations (35Q84)

Related Items (2)

A computational model of protein induced membrane morphology with geodesic curvature driven protein-membrane interface ⋮ A new approach to constrained total variation solvation models and the study of solute-solvent interface profiles

Cites Work

• Hybrid continuum-particle method for fluctuating lipid bilayer membranes with diffusing protein inclusions
• Applications of level set methods in computational biophysics
• Modelling and simulations of multi-component lipid membranes and open membranes via diffuse interface approaches
• Modeling and computation of two phase geometric biomembranes using surface finite elements
• Simulating the deformation of vesicle membranes under elastic bending energy in three dimensions
• The Variational Formulation of the Fokker--Planck Equation
• Curvature-Driven Molecular Flow on Membrane Surface
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: On Curvature Driven Rotational Diffusion of Proteins on Membrane Surfaces