Gol'dshteĭn B N, Kholmukhamedov E L, Ivanova A N, Furman G A
Mol Biol (Mosk). 1987 Jan-Feb;21(1):132-9.
The kinetic model for K+, H+, Ca2+ concentrational self-oscillations in erythrocytes induced by A23187 and FCCP ionophores are considered. The model is based on the experimental data available and contains the minimal number of essential variables. The model was analysed by the method based on the graph representation of kinetic equations. The critical graph fragments provoking self-oscillatory trajectories in the system were revealed. It is shown that self-oscillatory behaviour is basically induced by conjugated processes produced by A23187. The parameter domain for self-oscillations is estimated including parameters of Ca2+-induced (through K+-channels) proton transport with FCCP participation. Numerical integration of kinetic equations was performed. The results obtained are in a good qualitative agreement with experimental data.
研究了由A23187和FCCP离子载体诱导的红细胞中K⁺、H⁺、Ca²⁺浓度自振荡的动力学模型。该模型基于现有的实验数据,并包含最少数量的基本变量。通过基于动力学方程图形表示的方法对该模型进行了分析。揭示了系统中引发自振荡轨迹的关键图形片段。结果表明,自振荡行为主要是由A23187产生的共轭过程诱导的。估计了自振荡的参数域,包括在FCCP参与下Ca²⁺诱导(通过K⁺通道)质子运输的参数。进行了动力学方程的数值积分。所得结果与实验数据在定性上吻合良好。