Non-equilibrium self-assembly of a filament coupled to ATP/GTP hydrolysis

Abstract

We study the stochastic dynamics of growth and shrinkage of single actin filaments or microtubules taking into account insertion, removal, and ATP/GTP hydrolysis of subunits. The resulting phase diagram contains three different phases: a rapidly growing phase, an intermediate phase and a bound phase. We analyze all these phases, with an emphasis on the bound phase. We also discuss how hydrolysis affects force-velocity curves. The bound phase shows features of dynamic instability, which we characterize in terms of the time needed for the ATP/GTP cap to disappear as well as the time needed for the filament to reach a length of zero, i.e., (to collapse) for the first time. We obtain exact expressions for all these quantities, which we test using Monte Carlo simulations.

34 pages

References in corpus (4)

• Non-equilibrium fluctuations and mechanochemical couplings of a molecular motor
• Fluctuation theorem and large deviation function for a solvable model of a molecular motor
• Dynamics of Microtubule Growth and Catastrophe
• Dynamics of Microtubule Instabilities

Cited by in corpus (20)

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• A continuous model for microtubule dynamics with catastrophe, rescue and nucleation processes
• Coupling of actin hydrolysis and polymerization: Reduced description with two nucleotide states
• Microtubule dynamic instability: the role of cracks between protofilaments
• Kinetics and thermodynamics of reversible polymerization in closed systems
• Force-induced dynamical properties of multiple cytoskeletal filaments are distinct from that of single filaments
• Sufficient conditions for the additivity of stall forces generated by multiple filaments or motors
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• Dynamic instability of a growing adsorbed polymorphic filament
• Active Polymers Confer Fast Reorganization Kinetics
• On the force--velocity relationship of a bundle of rigid living filaments
• Effects of microtubule mechanics on hydrolysis and catastrophes
• Liquid-liquid microphase separation leads to formation of membraneless organelles