On hysteresis of ion channels

被引:4
作者
Korman, Can E. [1 ]
Mayergoyz, Isaak D. [2 ]
机构
[1] George Washington Univ, Dept Elect & Comp Engn, Washington, DC 20052 USA
[2] Univ Maryland, Dept Elect & Comp Engn, College Pk, MD 20742 USA
关键词
Ion channels; hysteresis; stochastic processes; Preisach model; MEMBRANE; CURRENTS;
D O I
10.1051/mmnp/2019058
中图分类号
Q [生物科学];
学科分类号
07 ; 0710 ; 09 ;
摘要
Ion channel proteins have many conformational (metastable) states and, for this reason, they exhibit hysteresis. This fact is responsible for the non-Markovian stochastic nature of single ion channel recordings. It is suggested in the paper that the stochastic single channel recordings can be modeled as the random outputs of rectangular hysteresis loops driven by stochastic processes. The latter problem can be mathematically treated as an exit problem for stochastic processes or by using the theory of stochastic processes on graphs. It is also demonstrated in the paper that the collective action of sodium and potassium channels responsible for the generation and propagation of action potentials exhibit hysteresis. This demonstration is accomplished by using the inverse problem approach to the nonlinear Hodgkin-Huxley diffusion equation.
引用
收藏
页数:26
相关论文
共 25 条
  • [1] [Anonymous], API TECHNICAL DATA B
  • [2] [Anonymous], EXP PHYSL
  • [3] ION PORES IN BIOLOGICAL-MEMBRANES AS SELF-ORGANIZED BISTABLE SYSTEMS
    CHINAROV, VA
    GAIDIDEI, YB
    KHARKYANEN, VN
    SITKO, SP
    [J]. PHYSICAL REVIEW A, 1992, 46 (08): : 5232 - 5241
  • [4] Churchland P. S., 1992, COMPUTATIONAL BRAIN, DOI DOI 10.7551/MITPRESS/2010.001.0001
  • [5] NEUROBIOLOGY - MEMORY AND MOLECULAR TURNOVER
    CRICK, F
    [J]. NATURE, 1984, 312 (5990) : 101 - 101
  • [6] Dayan P., 2001, THEORETICAL NEUROSCI
  • [7] MODELING HYSTERESIS OBSERVED IN THE HUMAN ERYTHROCYTE VOLTAGE-DEPENDENT CATION CHANNEL
    Flyvbjerg, Henrik
    Gudowska-Nowak, Ewa
    Christophersen, Palle
    Bennekou, Poul
    [J]. ACTA PHYSICA POLONICA B, 2012, 43 (11): : 2117 - 2140
  • [8] Freidlin M., 1996, Lectures in Mathematics ETH Zurich
  • [9] Noise in hysteretic systems and stochastic processes on graphs
    Freidlin, MI
    Mayergoyz, ID
    Pfeiffer, R
    [J]. PHYSICAL REVIEW E, 2000, 62 (02) : 1850 - 1855
  • [10] DIFFUSION-PROCESSES ON GRAPHS AND THE AVERAGING PRINCIPLE
    FREIDLIN, MI
    WENTZELL, AD
    [J]. ANNALS OF PROBABILITY, 1993, 21 (04) : 2215 - 2245