Zhu Chun-Lian, Jia Ya, Liu Quan, Yang Li-Jian, Zhan Xuan
Department of Physics, Jianghan University, Wuhan 430056, China.
Biophys Chem. 2007 Jan;125(1):201-12. doi: 10.1016/j.bpc.2006.08.001. Epub 2006 Aug 15.
Based on a model of intracellular calcium (Ca(2+)) oscillation with self-modulation of inositol 1,4,5-trisphosphate signal, the mesoscopic stochastic differential equations for the intracellular Ca(2+) oscillations are theoretically derived by using the chemical Langevin equation method. The effects of the finite biochemical reaction molecule number on both simple and complex cytosolic Ca(2+) oscillations are numerically studied. In the case of simple intracellular Ca(2+) oscillation, it is found that, with the increase of molecule number, the coherence resonance or autonomous resonance phenomena can occur for some external stimulation parameter values. In the cases of complex cytosolic Ca(2+) oscillations, each extremum of concentration of cytosolic Ca(2+) oscillations corresponds to a peak in the histogram of Ca(2+) concentration, and the most probability appeared during the bursting plateau level for bursting, but at the largest minimum of Ca(2+) concentration for chaos. For quasi-periodicity, however, there are only two peaks in the histogram of Ca(2+) concentration, and the most probability is located at low concentration state.
基于具有肌醇1,4,5 -三磷酸信号自调制的细胞内钙(Ca(2+))振荡模型,运用化学朗之万方程方法从理论上推导了细胞内Ca(2+)振荡的介观随机微分方程。数值研究了有限生化反应分子数对简单和复杂胞质Ca(2+)振荡的影响。在简单细胞内Ca(2+)振荡的情况下,发现随着分子数的增加,对于某些外部刺激参数值会出现相干共振或自共振现象。在复杂胞质Ca(2+)振荡的情况下,胞质Ca(2+)振荡浓度的每个极值对应于Ca(2+)浓度直方图中的一个峰值,对于爆发情况,最可能出现在爆发的平台期水平,但对于混沌情况则出现在Ca(2+)浓度的最大最小值处。然而,对于准周期性,Ca(2+)浓度直方图中只有两个峰值,且最可能位于低浓度状态。