中国物理B ›› 2008, Vol. 17 ›› Issue (11): 4100-4106.doi: 10.1088/1674-1056/17/11/024

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Numerical study of IP3-induced Ca2+ spiral pattern evolution

唐 军1, 易 鸣2, 马 军3, 贾 亚4   

  1. (1)College of Science, China University of Mining and Technology, Xuzhou 221008, China;Department of Physics and Institute of Biophysics, Huazhong Normal University, Wuhan 430079, China; (2)Department of Physics and Institute of Biophysics, Huazhong Normal University, Wuhan 430079, China; (3)Department of Physics and Institute of Biophysics, Huazhong Normal University, Wuhan 430079, China;Department of Physics, Lanzhou University of Technology, Lanzhou 730050, China; (4)Department of Physics, La
  • 收稿日期:2008-05-19 修回日期:2008-06-13 出版日期:2008-11-20 发布日期:2008-11-20
  • 基金资助:
    Project supported by the National Natural Science Foundation of China (Grant Nos 10575041 and 10747005)

Numerical study of IP3-induced Ca2+ spiral pattern evolution

Tang Jun (唐 军)ab, Ma Jun (马 军)bc, Yi Ming (易 鸣)b, Jia Ya (贾 亚)c   

  1. a College of Science, China University of Mining and Technology, Xuzhou 221008, China; b Department of Physics and Institute of Biophysics, Huazhong Normal University, Wuhan 430079, China; c Department of Physics, Lanzhou University of Technology, Lanzhou 730050, China
  • Received:2008-05-19 Revised:2008-06-13 Online:2008-11-20 Published:2008-11-20
  • Supported by:
    Project supported by the National Natural Science Foundation of China (Grant Nos 10575041 and 10747005)

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摘要： The effect of change in concentration of messenger molecule inositol 1,4,5-trisphosphate (IP$_{3})$ on intracellular Ca$^{2 + }$spiral pattern evolution is studied numerically. The results indicate that when the IP$_{3}$ concentration decreases from 0.27 $\mu $M, a physiologically reasonable value, to different values, the spiral centre drifts to the edge of the medium and disappears for a small enough IP$_{3}$ concentration. The instability of spiral pattern can be understood in terms of excitability-change controlled by the IP$_{3}$ concentration. On the other hand, when the IP$_{3}$ concentration increases from 0.27\,$\mu $M, a homogeneous area with a high Ca$^{2 + }$ concentration emerges and competes with the spiral pattern. A high enough IP$_{3}$ concentration can lead the homogeneous area to occupy the whole medium. The instability of spiral pattern is ascribed to the change in stability of a stationary state with a high Ca$^{2 + }$ concentration.

关键词: spiral wave, Ca$^{2 + }$, IP$_{3}$

Abstract: The effect of change in concentration of messenger molecule inositol 1,4,5-trisphosphate (IP$_{3})$ on intracellular Ca$^{2 + }$spiral pattern evolution is studied numerically. The results indicate that when the IP$_{3}$ concentration decreases from 0.27 $\mu $M, a physiologically reasonable value, to different values, the spiral centre drifts to the edge of the medium and disappears for a small enough IP$_{3}$ concentration. The instability of spiral pattern can be understood in terms of excitability-change controlled by the IP$_{3}$ concentration. On the other hand, when the IP$_{3}$ concentration increases from 0.27 $\mu $M, a homogeneous area with a high Ca$^{2 + }$ concentration emerges and competes with the spiral pattern. A high enough IP$_{3}$ concentration can lead the homogeneous area to occupy the whole medium. The instability of spiral pattern is ascribed to the change in stability of a stationary state with a high Ca$^{2 + }$ concentration.

Key words: spiral wave, Ca$^{2 + }$, IP$_{3}$

中图分类号:  (Active transport processes)

  • 87.16.Uv
87.15.H- (Dynamics of biomolecules) 87.16.D- (Membranes, bilayers, and vesicles) 87.18.Hf (Spatiotemporal pattern formation in cellular populations)