title: The kinetics of mechanically coupled myosins exhibit group size-dependent regimes.
abstract: Naturally occurring groups of muscle myosin behave differently from individual myosins or small groups commonly assayed in vitro. Here, we investigate the emergence of myosin group behavior with increasing myosin group size. Assuming the number of myosin binding sites (N) is proportional to actin length (L) (N = L/35.5 nm), we resolve in vitro motility of actin propelled by skeletal muscle myosin for L = 0.2-3 μm. Three distinct regimes were found: L < 0.3 μm, sliding arrest; 0.3 μm ≤ L ≤ 1 μm, alternation between arrest and continuous sliding; L > 1 μm, continuous sliding. We theoretically investigated the myosin group kinetics with mechanical coupling via actin. We find rapid actin sliding steps driven by power-stroke cascades supported by postpower-stroke myosins, and phases without actin sliding caused by prepower-stroke myosin buildup. The three regimes are explained: N = 8, rare cascades; N = 15, cascade bursts; N = 35, continuous cascading. Two saddle-node bifurcations occur for increasing N (mono → bi → mono-stability), with steady states corresponding to arrest and continuous cascading. The experimentally measured dependence of actin sliding statistics on L and myosin concentration is correctly predicted.
authors.affiliation: Department of Physiology, McGill University, Montréal, Québec, Canada; Centre for Applied Mathematics in Bioscience and Medicine, McGill University, Montréal, Québec, Canada; Meakins-Christie Laboratories, McGill University, Montréal, Québec, Canada.
authors.forename: Lennart
authors.initials: L
authors.lastname: Hilbert
authors.forename: Shivaram
authors.initials: S
authors.lastname: Cumarasamy
authors.forename: Nedjma B
authors.initials: NB
authors.lastname: Zitouni
authors.forename: Michael C
authors.initials: MC
authors.lastname: Mackey
authors.forename: Anne-Marie
authors.initials: AM
authors.lastname: Lauzon
mesh_terms: D008841:Actin Cytoskeleton / Q000378:metabolism; D000199:Actins / Q000378:metabolism; D000818:Animals; D001696:Biomechanical Phenomena; D002645:Chickens; D007700:Kinetics; D055595:Mechanical Phenomena; D008954:Models, Biological; D009068:Movement; D009218:Myosins / Q000378:metabolism*; D013269:Stochastic Processes
chemical_list: D000199:Actins; D009218:Myosins
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