We propose a two-dimensional model for the organization of stabilized microtubules driven by molecular motors in an unconfined geometry. In this model two kinds of dynamics are competing. The first one is purely diffusive, with an interaction between the rotational degrees of freedom, while the second one is a local drive, dependent on microtubule polarity. As a result, there is a configuration dependent driving field. Applying a molecular field approximation, we are able to derive continuum equations. A study on the solutions of these equations shows non-equilibrium inhomogeneous steady states in various regions of the parameter space. The presence and stability of such self-organized states are investigated in terms of entropy production. Numerical simulations confirm our analytic results.

A model for the self-organization of microtubules driven by molecular motors / B. Bassetti, M. Cosentino Lagomarsino, P. Jona. - In: THE EUROPEAN PHYSICAL JOURNAL. B, CONDENSED MATTER PHYSICS. - ISSN 1434-6028. - 15:3(2000), pp. 483-492. [10.1007/s100510051150]

A model for the self-organization of microtubules driven by molecular motors

Bassetti B.;Cosentino Lagomarsino M.;
2000

Abstract

We propose a two-dimensional model for the organization of stabilized microtubules driven by molecular motors in an unconfined geometry. In this model two kinds of dynamics are competing. The first one is purely diffusive, with an interaction between the rotational degrees of freedom, while the second one is a local drive, dependent on microtubule polarity. As a result, there is a configuration dependent driving field. Applying a molecular field approximation, we are able to derive continuum equations. A study on the solutions of these equations shows non-equilibrium inhomogeneous steady states in various regions of the parameter space. The presence and stability of such self-organized states are investigated in terms of entropy production. Numerical simulations confirm our analytic results.
Stochastic dynamics; diffusion; proteins; assays
Settore FIS/02 - Fisica Teorica, Modelli e Metodi Matematici
Settore BIO/06 - Anatomia Comparata e Citologia
THE EUROPEAN PHYSICAL JOURNAL. B, CONDENSED MATTER PHYSICS
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Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/2434/802799
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