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

doi:10.1088/1674-1056/24/12/128708

Abstract A quantum chain model of multiple molecule motors is proposed as a mathematical physics theory for the microscopic modeling of classical force-velocity relation and tension transients in muscle fibers. The proposed model was a quantum many-particle Hamiltonian to predict the force-velocity relation for the slow release of muscle fibers, which has not yet been empirically defined and was much more complicated than the hyperbolic relationships. Using the same Hamiltonian model, a mathematical force-velocity relationship was proposed to explain the tension observed when the muscle was stimulated with an alternative electric current. The discrepancy between input electric frequency and the muscle oscillation frequency could be explained physically by the Doppler effect in this quantum chain model. Further more, quantum physics phenomena were applied to explore the tension time course of cardiac muscle and insect flight muscle. Most of the experimental tension transient curves were found to correspond to the theoretical output of quantum two- and three-level models. Mathematical modeling electric stimulus as photons exciting a quantum three-level particle reproduced most of the tension transient curves of water bug Lethocerus maximus.

Keywords: physics model of muscles fibers cooperative molecule motors force-velocity relationship quantum chain model

Received: 22 January 2015
Revised: 24 March 2015
Accepted manuscript online:

PACS:	87.19.Ff	(Muscles)
	42.50.Nn	(Quantum optical phenomena in absorbing, amplifying, dispersive and conducting media; cooperative phenomena in quantum optical systems)
	79.60.-i	(Photoemission and photoelectron spectra)

Fund: Project supported by the Fundamental Research Foundation for the Central Universities of China.

Corresponding Authors: Si Tie-Yan
E-mail: tieyansi@foxmail.com

Cite this article:

Si Tie-Yan (司铁岩) One-dimensional chain of quantum molecule motors as a mathematical physics model for muscle fibers 2015 Chin. Phys. B 24 128708

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