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A quantum chain model of many molecule motors is proposed as a mathematicalphysics theory on the microscopic modeling of classical force-velocity relationand tension transients of muscle fibre. We proposed quantum many-particleHamiltonian to predict the force-velocity relation for the slow release ofmuscle fibre which has no empirical relation yet, it is much more complicatethan hyperbolic relation. Using the same Hamiltonian, we predicted themathematical force-velocity relation when the muscle is stimulated byalternative electric current. The discrepancy between input electric frequencyand the muscle oscillation frequency has a physical understanding by Dopplereffect in this quantum chain model. Further more, we apply quantum physicsphenomena to explore the tension time course of cardiac muscle and insectflight muscle. Most of the experimental tension transients curves found theircorrespondence in the theoretical output of quantum two-level and three-levelmodel. Mathematically modeling electric stimulus as photons exciting a quantumthree-level particle reproduced most tension transient curves of water bugLethocerus Maximus.

One dimensional chain of quantum molecule motors as a mathematical physics model for muscle fibre