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Title: Stochastic dynamics of small ensembles of non-processive molecular motors: The parallel cluster model

Abstract

Non-processive molecular motors have to work together in ensembles in order to generate appreciable levels of force or movement. In skeletal muscle, for example, hundreds of myosin II molecules cooperate in thick filaments. In non-muscle cells, by contrast, small groups with few tens of non-muscle myosin II motors contribute to essential cellular processes such as transport, shape changes, or mechanosensing. Here we introduce a detailed and analytically tractable model for this important situation. Using a three-state crossbridge model for the myosin II motor cycle and exploiting the assumptions of fast power stroke kinetics and equal load sharing between motors in equivalent states, we reduce the stochastic reaction network to a one-step master equation for the binding and unbinding dynamics (parallel cluster model) and derive the rules for ensemble movement. We find that for constant external load, ensemble dynamics is strongly shaped by the catch bond character of myosin II, which leads to an increase of the fraction of bound motors under load and thus to firm attachment even for small ensembles. This adaptation to load results in a concave force-velocity relation described by a Hill relation. For external load provided by a linear spring, myosin II ensembles dynamically adjust themselvesmore » towards an isometric state with constant average position and load. The dynamics of the ensembles is now determined mainly by the distribution of motors over the different kinds of bound states. For increasing stiffness of the external spring, there is a sharp transition beyond which myosin II can no longer perform the power stroke. Slow unbinding from the pre-power-stroke state protects the ensembles against detachment.« less

Authors:
; ;  [1]
  1. BioQuant, Heidelberg University, Im Neuenheimer Feld 267, 69120 Heidelberg, Germany and Institute for Theoretical Physics, Heidelberg University, Philosophenweg 19, 69120 Heidelberg (Germany)
Publication Date:
OSTI Identifier:
22261648
Resource Type:
Journal Article
Journal Name:
Journal of Chemical Physics
Additional Journal Information:
Journal Volume: 139; Journal Issue: 17; Other Information: (c) 2013 AIP Publishing LLC; Country of input: International Atomic Energy Agency (IAEA); Journal ID: ISSN 0021-9606
Country of Publication:
United States
Language:
English
Subject:
37 INORGANIC, ORGANIC, PHYSICAL AND ANALYTICAL CHEMISTRY; BOUND STATE; CLUSTER MODEL; DYNAMICS; FLEXIBILITY; KINETICS; MYOSIN; SIMULATION; STOCHASTIC PROCESSES

Citation Formats

Erdmann, Thorsten, Albert, Philipp J., and Schwarz, Ulrich S. Stochastic dynamics of small ensembles of non-processive molecular motors: The parallel cluster model. United States: N. p., 2013. Web. doi:10.1063/1.4827497.
Erdmann, Thorsten, Albert, Philipp J., & Schwarz, Ulrich S. Stochastic dynamics of small ensembles of non-processive molecular motors: The parallel cluster model. United States. doi:10.1063/1.4827497.
Erdmann, Thorsten, Albert, Philipp J., and Schwarz, Ulrich S. Thu . "Stochastic dynamics of small ensembles of non-processive molecular motors: The parallel cluster model". United States. doi:10.1063/1.4827497.
@article{osti_22261648,
title = {Stochastic dynamics of small ensembles of non-processive molecular motors: The parallel cluster model},
author = {Erdmann, Thorsten and Albert, Philipp J. and Schwarz, Ulrich S.},
abstractNote = {Non-processive molecular motors have to work together in ensembles in order to generate appreciable levels of force or movement. In skeletal muscle, for example, hundreds of myosin II molecules cooperate in thick filaments. In non-muscle cells, by contrast, small groups with few tens of non-muscle myosin II motors contribute to essential cellular processes such as transport, shape changes, or mechanosensing. Here we introduce a detailed and analytically tractable model for this important situation. Using a three-state crossbridge model for the myosin II motor cycle and exploiting the assumptions of fast power stroke kinetics and equal load sharing between motors in equivalent states, we reduce the stochastic reaction network to a one-step master equation for the binding and unbinding dynamics (parallel cluster model) and derive the rules for ensemble movement. We find that for constant external load, ensemble dynamics is strongly shaped by the catch bond character of myosin II, which leads to an increase of the fraction of bound motors under load and thus to firm attachment even for small ensembles. This adaptation to load results in a concave force-velocity relation described by a Hill relation. For external load provided by a linear spring, myosin II ensembles dynamically adjust themselves towards an isometric state with constant average position and load. The dynamics of the ensembles is now determined mainly by the distribution of motors over the different kinds of bound states. For increasing stiffness of the external spring, there is a sharp transition beyond which myosin II can no longer perform the power stroke. Slow unbinding from the pre-power-stroke state protects the ensembles against detachment.},
doi = {10.1063/1.4827497},
journal = {Journal of Chemical Physics},
issn = {0021-9606},
number = 17,
volume = 139,
place = {United States},
year = {2013},
month = {11}
}