The theory of sliding filament models for muscle contraction. I. The two-state model

Journal of Theoretical Biology
D A Smith, S Sicilia

Abstract

The mechanical and thermal properties of Huxley's 1957 sliding filament model for striated muscle contraction are reconsidered, with emphasis on general relationships between two-state models and muscle behaviour. New empirical forms for the rate functions f(x) and g(x) are proposed, which give an improved fit to experiments. A specific procedure, based on the shortening heat, for determining model parameters is described and applied to various choices of rate functions. The change in slope of the tension-velocity curve observed by Katz is shown to require at least one discontinuity in the binding rate f(x), and a general formula is given. The two-state model also gives a symmetric cusp in the ATP-rate vs velocity curve at v = 0. The theory is extended to time-varying situations and applied to transient responses following isometric activation by tetanus (including latency relaxation), and unloaded and after-loaded contractions. The early burst of heat production can also be fitted by assigning appropriate values to the heats of binding and dissociation.

References

Dec 12, 1978·Biochemistry·J A Sleep, R L Hutton
Dec 7, 1971·Biochemistry·R W Lymn, E W Taylor
Jul 26, 1972·Nature: New Biology·R D Bremel, A Weber
Mar 1, 1981·Proceedings of the National Academy of Sciences of the United States of America·L A SteinE Eisenberg

Citations

Nov 14, 1997·Bulletin of Mathematical Biology·Z KnudsenJ Brindley
Oct 1, 1991·Mathematical Biosciences·S Sicilia, D A Smith
Jan 1, 1992·Proceedings of the National Academy of Sciences of the United States of America·N J CórdovaG F Oster
Oct 30, 1998·Disability and Rehabilitation·J A Kopec, J M Esdaile
Sep 14, 2017·Journal of Materials Chemistry. B, Materials for Biology and Medicine·Shukai ZhuJie Weng
Dec 1, 1991·Journal of Muscle Research and Cell Motility·R P Saldana, D A Smith

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