A drift-diffusion model for molecular motor transport in anisotropic filament bundles

Dietmar Oelz, Alexander Mogilner

Research output: Contribution to journalArticle

Abstract

In this study we consider the density of motor proteins in filament bundles with polarity graded in space. We start with a microscopic model that includes information on motor binding site positions along specific filaments and on their polarities. We assume that filament length is small compared to the characteristic length scale of the bundle polarity pattern. This leads to a separation of scales between molecular motor movement within the bundle and along single fibers which we exploit to derive a drift-diffusion equation as a first order perturbation equation. The resulting drift-diffusion model reveals that drift dominates in unidirectional bundles while diffusion dominates in isotropic bundles. In general, however, those two modes of transport are balanced according to the polarity and thickness of the filament bundle. The model makes testable predictions on the dependence of the molecular motor density on filament density and polarity.

Original languageEnglish (US)
Pages (from-to)4553-4567
Number of pages15
JournalDiscrete and Continuous Dynamical Systems
Volume36
Issue number8
DOIs
StatePublished - Aug 1 2016

Fingerprint

Drift-diffusion Model
Molecular Motor
Filament
Polarity
Bundle
Binding sites
Drift-diffusion Equations
Proteins
Length Scale
Fibers
Fiber
First-order
Protein
Perturbation
Prediction
Model

Keywords

  • Anisotropic two-phase model
  • Axon transport
  • Drift-diffusion approximation
  • Intracellular particle transport
  • Perturbation analysis

ASJC Scopus subject areas

  • Discrete Mathematics and Combinatorics
  • Applied Mathematics
  • Analysis

Cite this

A drift-diffusion model for molecular motor transport in anisotropic filament bundles. / Oelz, Dietmar; Mogilner, Alexander.

In: Discrete and Continuous Dynamical Systems, Vol. 36, No. 8, 01.08.2016, p. 4553-4567.

Research output: Contribution to journalArticle

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