细胞内圆柱形空间钙波的Fire-Diffuse-Fire模型  

Fire-Diffuse-Fire Calcium Waves in Cylindrical Intracellular Spaces

作　　者：程玉[1] 施小民[2] 余宏旺[1] 郑毓蕃[1,3] 

机构地区：[1]上海大学理学院,上海200444 [2]上海大学系统科学研究所,上海200444 [3]华东师范大学数学系,上海200062

出　　处：《上海大学学报（自然科学版）》2010年第1期68-74,共7页Journal of Shanghai University:Natural Science Edition

摘　　要：考察Fire-Diffuse-Fire模型在圆柱区域内钙波的传播情况.通过求解扩散方程,得到了圆柱区域内Ca2+浓度的解析表达式.分析证明了钙波的存在性、稳定性依赖于半径和Ca2+泵率,产生钙释放的阈值在有限区间内随半径增大而增大.此结果有助于了解细胞内的内质网以及Ca2+泵在细胞Ca2+动力学上的作用.Propagation of fire-diffuse-fire Ca^2＋ waves through a cylindric domain is considered. Ca^2＋ concentration is an analytic solution derived from the diffusion equation in the domain. Existence and stability are shown to be dependent on the radius and the Ca^2＋ pump rate. It is also shown that the threshold of fire increase as radius increasing in finite interval. The results provides better understanding about the roles of endoplasmic and Ca^2＋ pumps in the intracellular Ca^2＋ dynamics of cells.

关 键 词：Fire—Diffuse—Fire模型 钙波 钙释放 

分 类 号：O175.2[理学—数学]