Abstract

Simple SummaryWith modern increased computational power, newly developed computer programs can be used to simulate how muscle contracts. Here, we created, in silico, a “virtual” muscle that includes modelled myosin cross-bridges, and, using statistical mechanical methods, we calculated the macroscopic response of the muscle during contraction and as a result of applied transients. Good fits to many experimental observations were obtained with this simple model with one attached force-producing state and using a single cross-bridge step size of 100 Å.An informative probe of myosin cross-bridge behaviour in active muscle is a mechanical transient experiment where, for example, a fully active muscle initially held at constant length is suddenly shortened to a new fixed length, providing a force transient, or has its load suddenly reduced, providing a length transient. We describe the simplest cross-bridge mechanical cycle we could find to model these transients. We show using the statistical mechanics of 50,000 cross-bridges that a simple cycle with two actin-attached cross-bridge states, one producing no force and the other producing force, will explain much of what has been observed experimentally, and we discuss the implications of this modelling for our understanding of how muscle works. We show that this same simple model will explain, reasonably well, the isotonic mechanical and X-ray transients under different loads observed by Reconditi et al. (2004, Nature 428, 578) and that there is no need to invoke different cross-bridge step sizes under these different conditions; a step size of 100 Å works well for all loads. We do not claim that this model provides a total mechanical explanation of how muscle works. However, we do suggest that only if there are other observations that cannot be explained by this simple model should something more complicated be considered.

Highlights

  • Studies of the mechanics of the cross-bridge cycle in muscle have often involved the application of rapid mechanical interventions to active muscle fibres

  • We have tried to find the simplest possible mechanical system that can explain many of the published observations on muscle mechanical transients

  • This consists of a four state myosin head cycle on actin in active muscle with one force-producing state and a myosin head working stroke of 100 Å

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Summary

Introduction

Studies of the mechanics of the cross-bridge cycle in muscle have often involved the application of rapid mechanical interventions to active muscle fibres. There was an instantaneous reduction in tension from the maximum To to the so-called T1 value. This was followed by a slower recovery of tension, the T2 curve, which oscillated as it approached a new steady isometric tension. Others (e.g., [3,4,5,6,7]) followed the length response of fibres contracting isometrically but shortening after their load (the external force applied to the muscle) was suddenly reduced to a new constant value (Figure 1b). Related phases (1 to 4) can be seen in (a) and (b)

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