On the Lacker-Peskin model for muscular contraction

We study Lacker and Peskin's version of A.F. Huxley's model of muscular contraction. The model, which presumes a continuous (and independent) distribution of sites of attachment for a myosin cross-bridge, is presumed to apply to uniformly excited skeletal muscles under conditions of maximal overlap of fibres. We show that given velocity as a function of time there exists a unique force as a function of time, and that the velocity-force relation is continuous and one-to-one. We also suggest minor modifications of the model.