A model of the Renshaw spinal interneuron has been developed. The model consists of a nonhomogeneous cylinder divided into three compartments: dendrites, soma and axon initial segment (I.S). The soma and dendrites are represented as a cylindrical cable by the method of Rall (1962); anatomical data of Jankowska and Lindström (1971) from fluorescent dye injections were used to construct the cable. The soma and I.S. membranes are assumed to have Hodgkin-Huxley-like membrane activity. In comparison with our previous model of a tonic motorneuron (Traub, 1977), the Renshaw cell has a faster membrane time constant, faster Hodgkin-Huxley rate functions, αhand βhshifted to the right on the voltage axis, and no slow potassium conductance. With appropriate input conductances, the Renshaw cell model exhibits the following features: it develops very high frequency bursts (over 1000 impulses per s) which trail off over a period of 10–20 ms; the second spike has small amplitude and successive spikes develop progressively larger amplitudes. Comparisons are drawn with the experimental observations of Eccles et al. (1961) and Willis and Willis (`966). With this model, it is feasible to compute the steady firing rate for a large number of steady synaptic excitatory and inhibitory conductances by direct integration of the differential equat
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