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The motivation for this work was to derive a theoretical model for the combined motion of a sample of muscle tissue with a small number (approximately 12) of myosin molecules. This was then compared to data collected at the University of North Texas Health Science center. A theoretical model of the motion of the myosin cross-bridges has been derived. The solution is a combination of solutions from the classical harmonic oscillator, Brownian motion, and Maxwell-Boltzmann statistics. The model illustrates the myosin behavior as a function of the number of myosin molecules, the temperature of the sample, and the spring constant. The results show that there is good agreement between the theoretical model and experimental data.

Simulation model for combined motion of myosin cross-bridges agrees with experimental data