Header

UZH-Logo

Maintenance Infos

A variational principle for molecular motors


Chipot, M; Kinderlehrer, D; Kowalczyk, M (2003). A variational principle for molecular motors. Meccanica, 38(5):505-518.

Abstract

Intracellular transport in eukarya is attributed to motor proteins that transduce chemical energy into directed mechanical energy. These nanoscale size motors carry organelles and other cargo on microtubles, are active in mitosis, and play roles in other functions. They function in a highly viscous setting with overdamped dynamics and are in configurations far from conventional notions of equilibrium. We derive a dissipation principle that describes transport in a typical motor system that establishes a weak topology as the natural environment for the system and also yields the equations of evolution.

Abstract

Intracellular transport in eukarya is attributed to motor proteins that transduce chemical energy into directed mechanical energy. These nanoscale size motors carry organelles and other cargo on microtubles, are active in mitosis, and play roles in other functions. They function in a highly viscous setting with overdamped dynamics and are in configurations far from conventional notions of equilibrium. We derive a dissipation principle that describes transport in a typical motor system that establishes a weak topology as the natural environment for the system and also yields the equations of evolution.

Statistics

Citations

14 citations in Web of Science®
14 citations in Scopus®
Google Scholar™

Altmetrics

Downloads

73 downloads since deposited on 10 Jun 2010
11 downloads since 12 months
Detailed statistics

Additional indexing

Other titles:Dedicated to Piero Villaggio on the occasion of his 70th birthday
Item Type:Journal Article, refereed, original work
Communities & Collections:07 Faculty of Science > Institute of Mathematics
Dewey Decimal Classification:510 Mathematics
Uncontrolled Keywords:Diffusion mediated transport - Brownian motors - Molecular motors - Dissipation principle - Fokker–Planck equations - Kantorovich–Wasserstein metric - Monge–Kantorovich problem
Language:English
Date:2003
Deposited On:10 Jun 2010 16:09
Last Modified:05 Apr 2016 13:25
Publisher:Springer
ISSN:0025-6455
Additional Information:The original publication is available at www.springerlink.com
Publisher DOI:https://doi.org/10.1023/A:1024719028273

Download

Preview Icon on Download
Preview
Filetype: PDF
Size: 1MB
View at publisher