Ca2+-force relationship of frog skeletal muscle: A dynamic model for parameter estimation

David M. Shames, Anthony J. Baker, Michael W. Weiner, S. Albert Camacho

Research output: Contribution to journalArticlepeer-review

7 Scopus citations

Abstract

A simple mathematical model describing the dynamic connection between Ca2+ and force generation in intact skeletal muscle from the frog has been developed from isometric force responses to cytosolic Ca2+ concentration ([Ca2+]c) transients during tetanic and twitch contractions. The main element of the model is a two-state cross-bridge cycle characterized by the fractional rate of cross-bridge attachment (fapp) and the fractional rate of cross-bridge detachment (g*). While g* is constant, fapp is time varying and regulated by both [Ca2+]c and force. Having only four adjustable parameters, the model is mathematically unique, thereby allowing precise parameter estimation from the dynamic Ca2+ and force data. The model should be useful for developing insights into the relative importance for force generation and relaxation of 1) the size and shape of the Ca2+ transient, 2) the sensitivity of the fractional rate of cross-bridge attachment to both the [Ca2+]c and the force responses, and 3) the fractional rate of cross-bridge detachment, which is insensitive to both Ca2+ and force.

Original languageEnglish (US)
Pages (from-to)C2062-C2071
JournalAmerican Journal of Physiology
Volume271
Issue number6 PART 1
DOIs
StatePublished - 1996
Externally publishedYes

Keywords

  • Excitation-contraction coupling
  • Fluorescence
  • Indo 1
  • Mathematical model

ASJC Scopus subject areas

  • Physiology (medical)

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