Miftakhov R N, Wingate D L
Gastrointestinal Science Research Unit, Royal London Hospital Medical College, University of London, UK.
Med Eng Phys. 1994 Nov;16(6):450-7. doi: 10.1016/1350-4533(94)90068-x.
A mathematical model is developed to investigate the coupled electrochemical processes of nerve-pulse transmission via adrenergic 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 post-synaptic output. The combined nonlinear system of partial and ordinary differential equations has been obtained and solved numerically. The results of computer simulation of the function of the idealized adrenergic neuron quantitatively and qualitatively describe the dynamics of Ca2+ ion influx into the terminal, noradrenaline release from the free 'releasable' store, its diffusion into the synaptic cleft, binding with the adrenoceptors on the pre- and post-synaptic structures with the generation of the inhibitory post-synaptic potential, and utilization of noradrenaline by neuronal and non-neuronal capture mechanisms.
建立了一个数学模型来研究通过肾上腺素能突触进行神经脉冲传递的耦合电化学过程。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、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。已获得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。对理想化肾上腺素能神经元功能的计算机模拟结果,从定量和定性方面描述了Ca2+离子流入终末、游离“可释放”储存库中去甲肾上腺素的释放、其扩散到突触间隙、与突触前和突触后结构上的肾上腺素能受体结合并产生抑制性突触后电位,以及神经元和非神经元摄取机制对去甲肾上腺素的利用情况。