DIFFUSION MEDIATED TRANSPORT IN MULTIPLE STATE SYSTEMS

Intracellular transport in eukarya is attributed to motor proteins that transduce chemical energy into directed mechanical motion. Nanoscale motors like kinesins tow organelles and other cargo on microtubules or filaments, have a role separating the mitotic spindle during the cell cycle, and perform...

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Bibliographic Details
Published in:SIAM journal on mathematical analysis 2007-01, Vol.39 (4), p.1208-1230
Main Authors: HASTINGS, Stuart, KINDERLEHRER, David, BRYCE MCLEOD, J
Format: Article
Language:English
Subjects:
Cell cycle
Exact sciences and technology
Global analysis, analysis on manifolds
Mathematics
Neighborhoods
Proteins
Sciences and techniques of general use
Topology. Manifolds and cell complexes. Global analysis and analysis on manifolds
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Summary:Intracellular transport in eukarya is attributed to motor proteins that transduce chemical energy into directed mechanical motion. Nanoscale motors like kinesins tow organelles and other cargo on microtubules or filaments, have a role separating the mitotic spindle during the cell cycle, and perform many other functions. The simplest description gives rise to a weakly coupled system of evolution equations. The transport process, to the mind's eye, is analogous to a biased coin toss. We describe how this intuition may be confirmed by a careful analysis of the cooperative effect among the conformational changes and potentials present in the equations.
ISSN:0036-1410
1095-7154
DOI:10.1137/060650994