Aspects of Modeling Transport in Small Systems with a Look at Motor Proteins

D. Kinderlehrer

A chapter in Mathematical Modeling, Simulation, Visualization and e-Learning, 2008, pp 153-163 from Springer

Abstract: Abstract Diffusion-mediated transport is a phenomenon in which directed motion is achieved as a result of two opposing tendencies: diffusion, which spreads the particles uniformly through the medium, and transport, which concentrates the particles at some special sites. It is implicated in the operation of many molecular level systems. These include some liquid crystal and lipid bilayer systems, and, especially, the motor proteins responsible for eukaryotic cellular traffic. All of these systems are extremely complex and involve subtle interactions on widely varying scales. The chemical/mechanical transduction in motor proteins is, by contrast to many materials microstructure situations, quite distant from equilibrium. These bio-systems function in a dynamically metastable range. There is an enormous biological literature about this and a considerable math-biology and biophysics literature, e.g., [1, 2, 8, 9, 14, 15, 19, 20, 23, 25–28].

Keywords: Motor Protein; Planck Equation; Molecular Motor; Mass Transfer Problem; Brownian Motor (search for similar items in EconPapers)
Date: 2008
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DOI: 10.1007/978-3-540-74339-2_9

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