中国物理B ›› 2005, Vol. 14 ›› Issue (2): 427-432.doi: 10.1088/1009-1963/14/2/036

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A pseudo-spin model for the wall of cytoskeletal microtubule

邱锡钧1, 陈莹2, 李儒新3   

  1. (1)Department of Physics, Shanghai University, Shanghai 200436, China; (2)Department of Physics, Shanghai University, Shanghai 200436, China; Shanghai Institute of Ceramics, Chinese Academy of Sciences, Shanghai 200050, China; (3)Shanghai Institute of Optics and Fine Mechanics, Chinese Academy of Sciences, Shanghai 201800, China
  • 收稿日期:2004-09-07 修回日期:2004-10-20 出版日期:2005-03-02 发布日期:2005-03-02
  • 基金资助:
    Project supported by the National Natural Science Foundation of China (Grant Nos 69925513 and 19974058).

A pseudo-spin model for the wall of cytoskeletal microtubule

Chen Ying (陈莹)ab, Qiu Xi-Jun (邱锡钧)a, Li Ru-Xin (李儒新)c   

  1. a Department of Physics, Shanghai University, Shanghai 200436, China; b Shanghai Institute of Ceramics, Chinese Academy of Sciences, Shanghai 200050, China; c Shanghai Institute of Optics and Fine Mechanics, Chinese Academy of Sciences, Shanghai 201800, China
  • Received:2004-09-07 Revised:2004-10-20 Online:2005-03-02 Published:2005-03-02
  • Supported by:
    Project supported by the National Natural Science Foundation of China (Grant Nos 69925513 and 19974058).

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摘要： A pseudo-spin model is intended to describe the physical dynamics of unbound electrons in the wall of cytoskeletal microtubule (MT). Due to the inherent symmetry of the structure and the electric properties in the MT, one may treat it as a one-dimensional ferroelectric system, and describe the nonlinear dynamics of dimer electric dipoles in one protofilament of the MT by virtue of the double-well potential. Consequently, the physical problem has been mapped onto the pseudo-spin system, and the mean-field approximation has been taken to get some physical results.

关键词: cell microtubule, double-well potential, pseudo-spin hamiltonian, mean-field approximation

Abstract: A pseudo-spin model is intended to describe the physical dynamics of unbound electrons in the wall of cytoskeletal microtubule (MT). Due to the inherent symmetry of the structure and the electric properties in the MT, one may treat it as a one-dimensional ferroelectric system, and describe the nonlinear dynamics of dimer electric dipoles in one protofilament of the MT by virtue of the double-well potential. Consequently, the physical problem has been mapped onto the pseudo-spin system, and the mean-field approximation has been taken to get some physical results.

Key words: cell microtubule, double-well potential, pseudo-spin hamiltonian, mean-field approximation

中图分类号:  (General theory and mathematical aspects)

  • 87.10.-e
87.16.Gj (Cell walls) 87.19.L- (Neuroscience)