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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.

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
Scopus Subject Areas:Physical Sciences > Condensed Matter Physics
Physical Sciences > Mechanics of Materials
Physical Sciences > Mechanical Engineering
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:07 Jan 2025 04:39
Publisher:Springer
ISSN:0025-6455
Additional Information:The original publication is available at www.springerlink.com
OA Status:Green
Publisher DOI:https://doi.org/10.1023/A:1024719028273

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