Kinetic model for isometric contraction in smooth muscle on the basis of myosin phosphorylation hypothesis

Biophys J. 1984 Jul;46(1):35-44. doi: 10.1016/S0006-3495(84)83996-X.

Abstract

A kinetic model was proposed to simulate an isometric contraction curve in smooth muscle on the basis of the myosin phosphorylation hypothesis. The Ca2+-calmodulin-dependent activation of myosin light-chain kinase and the phosphorylation-dephosphorylation reaction of myosin were mathematically treated. Solving the kinetic equations at a steady state, we could calculate the relationship between the Ca2+ concentration and the myosin phosphorylation. Assuming that two-head-phosphorylated myosin has an actin-activated Mg2+-ATPase activity and that this state corresponds to an active state, we computed the time courses of the myosin phosphorylation and the active state for various Ca2+ transients. The time course of the active state was converted into that of isometric tension by use of Sandow's model composed of a contractile element and a series elastic component. The model could simulate not only the isometric contraction curves for any given Ca2+ transient but also the following experimental results: the calmodulin-dependent shift of the Ca2+ sensitivity of isometric tension observed in skinned muscle fibers, the disagreement between the Ca2+ sensitivity of myosin phosphorylation and that of isometric tension at a steady state, and the disagreement between the time course of myosin phosphorylation and that of isometric tension development.

MeSH terms

  • Animals
  • Calcium / metabolism
  • Calmodulin / metabolism
  • Computers
  • Enzyme Activation
  • Kinetics
  • Mathematics
  • Models, Biological*
  • Muscle Contraction*
  • Muscle, Smooth / metabolism*
  • Myosin-Light-Chain Kinase
  • Myosins / metabolism*
  • Phosphorylation
  • Protein Kinases / metabolism

Substances

  • Calmodulin
  • Protein Kinases
  • Myosin-Light-Chain Kinase
  • Myosins
  • Calcium