Relaxation kinetics of biological dimer adsorption models

We discuss the relaxation kinetics of a one-dimensional dimer adsorption model as recently proposed for the binding of biological dimers like kinesin on microtubules. The non-equilibrium dynamics shows several regimes: irreversible adsorption on short time scales, an intermediate plateau followed by...

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Bibliographic Details
Published in:Europhysics letters 2001-11, Vol.56 (3), p.420-426
Main Authors: Vilfan, A, Frey, E, Schwabl, F
Format: Article
Language:English
Subjects:
68.43.Mn
82.40.Bj
87.16.Nn
Biological and medical sciences
Fundamental and applied biological sciences. Psychology
Molecular biophysics
Surface properties. Adsorption
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Summary:We discuss the relaxation kinetics of a one-dimensional dimer adsorption model as recently proposed for the binding of biological dimers like kinesin on microtubules. The non-equilibrium dynamics shows several regimes: irreversible adsorption on short time scales, an intermediate plateau followed by a power law regime and finally exponential relaxation towards equilibrium. In all four regimes we give analytical solutions. The algebraic decay and the scaling behaviour can be explained by mapping onto a simple reaction-diffusion model. We show that there are several possibilities to define the autocorrelation function and that they all asymptotically show exponential decay, however with different time constants. Our findings remain valid if there is an attractive interaction between bound dimers.
ISSN:0295-5075
1286-4854
DOI:10.1209/epl/i2001-00535-4