非兴奋型生物细胞内钙离子浓度振荡的数值仿真

Numerical simulations of calcium oscillations in non-excitable biological cells

针对描述一类非兴奋型细胞,如肝细胞或上皮细胞内钙振荡的Marhl-Haberichter及其简化数学模型,数值仿真了在不同参数条件下,系统呈现的不同类型的复杂钙振荡模式。得到了非兴奋型生物细胞的四类钙振荡形式:点-点型周期簇振荡、点-环型周期簇振荡、点-环型双节律簇振荡及混沌簇振荡。应用快慢动力学分岔分析方法,研究了点-点型周期簇振荡产生的动力学性质。

Different types of calcium oscillations in non-excitable biological cells were simulated with variable parameters in Marhl-Haberichter and its simplified model. Four types of calcium oscillations were obtained as follows： regular bursting of point-point, regular bursting of point-cycle, two-fold bursting of point-cycle and chaotic bursting. Dynamic properties of regular bursting of point-point type were analyzed by the fast-slow dynamical theory.