Miftakhov R N, Wingate D L
Gastrointestinal Science Research Unit, Royal London Hospital Medical College, University of London, UK.
Med Eng Phys. 1994 Jan;16(1):67-73. doi: 10.1016/1350-4533(94)90013-2.
A mathematical model is proposed to describe the coupled electrochemical mechanisms of nerve-pulse transmission via cholinergic synapse. Based on pharmacological and morphophysiological data, the model describes the dynamics of the propagation of the electric signal along the unmyelinated geometrically non-uniform axon of the neuron and the chemical mechanisms of the transformation of the electrical signal in the synaptic zone into the postsynaptic output. The combined nonlinear system of partial and ordinary differential equations has been obtained and solved numerically. The results of numerical simulation of the function of the cholinergic neuron quantitatively and qualitatively describe the dynamics of Ca2+ ions influx into the terminal, acetylcholine release from the vesicles, accumulation of its free fraction, diffusion into the synaptic cleft, and binding with the receptors on the postsynaptic structures with the generation of the fast excitatory postsynaptic potential. They are in good agreement with the observed experimental findings.
提出了一个数学模型来描述通过胆碱能突触进行神经脉冲传递的耦合电化学机制。基于药理学和形态生理学数据，该模型描述了电信号沿神经元无髓鞘且几何形状不均匀的轴突传播的动力学，以及突触区电信号转化为突触后输出的化学机制。已得到并数值求解了偏微分方程和常微分方程的组合非线性系统。胆碱能神经元功能的数值模拟结果定量和定性地描述了Ca2+离子流入终末、乙酰胆碱从囊泡释放、其游离部分的积累、扩散到突触间隙以及与突触后结构上的受体结合并产生快速兴奋性突触后电位的动力学。它们与观察到的实验结果非常吻合。
