Fritzsche B
Biol Cybern. 1985;51(5):335-46. doi: 10.1007/BF00336921.
A model of neuromuscular transmission has been proposed which considers morphological structure and interrelated chemical and electrical mechanisms. The adequate kinetic scheme has been described by means of a system of nonlinear first order differential equations and the network of corresponding electrical processes has been treated as a linear first order differential equation with one variable coefficient. By the analytical investigation of derived differential equations detailed informations about the qualitative behaviour of the solutions were obtained. Present results of modelling characterize the neuromuscular synapse as a "perfect" transfer element, since all the possible dynamic solutions tend to exactly one singular point - the "resting state", independent of initial values and all other parameters. The special time-dependent solutions simulated by computer with biologically relevant parameters are in good agreement with experimentally determined transient response of the neuromuscular synapse. The paper concludes with an outlook of the possible pharmacologic application of the developed model.
已提出一种神经肌肉传递模型，该模型考虑了形态结构以及相关的化学和电机制。通过非线性一阶微分方程组描述了适当的动力学方案，并将相应电过程的网络视为具有一个可变系数的线性一阶微分方程。通过对导出的微分方程进行分析研究，获得了有关解的定性行为的详细信息。当前的建模结果将神经肌肉突触表征为一个“完美”的传递元件，因为所有可能的动态解都趋向于恰好一个奇点——“静止状态”，与初始值和所有其他参数无关。用生物学相关参数通过计算机模拟的特殊时间相关解与神经肌肉突触的实验确定的瞬态响应高度吻合。本文最后展望了所开发模型可能的药理学应用。
