中国物理B ›› 2015, Vol. 24 ›› Issue (12): 128708-128708.doi: 10.1088/1674-1056/24/12/128708

• SPECIAL TOPIC—8th IUPAP International Conference on Biological Physics • 上一篇    下一篇

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

司铁岩a b   

  1. a Academy of Fundamental and Interdisciplinary Sciences, Harbin Institute of Technology, Harbin 150080, China;
    b Max-Planck-Institute for the Physics of Complex Systems, Germany
  • 收稿日期:2015-01-22 修回日期:2015-03-24 出版日期:2015-12-05 发布日期:2015-12-05
  • 通讯作者: Si Tie-Yan E-mail:tieyansi@foxmail.com
  • 基金资助:
    Project supported by the Fundamental Research Foundation for the Central Universities of China.

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

Si Tie-Yan (司铁岩)a b   

  1. a Academy of Fundamental and Interdisciplinary Sciences, Harbin Institute of Technology, Harbin 150080, China;
    b Max-Planck-Institute for the Physics of Complex Systems, Germany
  • Received:2015-01-22 Revised:2015-03-24 Online:2015-12-05 Published:2015-12-05
  • Contact: Si Tie-Yan E-mail:tieyansi@foxmail.com
  • Supported by:
    Project supported by the Fundamental Research Foundation for the Central Universities of China.

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摘要： 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.

关键词: physics model of muscles fibers, cooperative molecule motors, force-velocity relationship, quantum chain model

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.

Key words: physics model of muscles fibers, cooperative molecule motors, force-velocity relationship, quantum chain model

中图分类号:  (Muscles)

  • 87.19.Ff
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)