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Motoneuron is the control unit of skeletal muscles,and the dynamic frequency-regulating feedback from the afferent nerve of receptors like muscle spindles forms the physical basis of its closed-loop regulation.Focused on the synapses of muscle spindle afferents,this paper established a dynamical system-Markov model starting from presynaptic stimulations to postsynaptic responses,and further verified the model via comparisons between theoretical results and relevant experimental data.With the purpose of describing the active features of dendritic membrane,we employed the methods of dynamical systems rather than the traditional passive cable theory,and identified the physical meaning of parameters involved.For the dynamic behavior of postsynaptic currents,we adopted simplified Markov models so that the analytical solutions for the open dynamics of postsynaptic receptors can be obtained.The model in this paper is capable of simulating the actual non-uniformity of channel density,and is suitable for complex finite element analysis of neurons;thus it facilitates the exploration of the frequency-regulating feedback and control mechanisms of motoneurons.

A dynamical system-Markov model for active postsynaptic responses of muscle spindle afferent nerve