Hodgkin-Huxley model is the indispensable mathematics basis for the study of neuro-electro-physiology. But so far, there is few analytic study about H-H neuron model. In this paper, the features of the classical H-H model are analyzed, and then a simplified H-H model and Nagumo equation are proposed, and their solitary wave solutions are first obtained with the homogeneous balance method. The study shows that nerve impulse may propagate with the mode of solitary wave.
Action Potentials ; physiology ; Humans ; Mathematics ; Membrane Potentials ; physiology ; Models, Neurological ; Neural Conduction ; physiology

Objective To investigate the clinical value of digital three-dimensional shaping titanium mesh and traditional hand-shaping titanium mesh in the repairing of skull defect surgery.Methods The clinical data of 78 patients with skull defect were retrospectively analyzed,they were divided into digital three-dimensional shaping titanium mesh group (41 cases) and traditional hand-shaping titanium mesh group (37 cases) according to the different titanium net,then the hospital stay,operative time,hospital costs,shaping satisfaction and postoperative complications between two groups were compared.Results The hospital costs and shaping satisfaction in digital three-dimensional shaping titanium mesh group were significantly higher than those in traditional hand-shaping titanium mesh group [(12 978.1 ± 4 765.7) yuan vs.(9 436.6 ±3 798.7) yuan,(9.87 ±0.13) scores vs.(9.41 ±0.09) scores],the complication rate was significantly lower than that in traditional hand-shaping titanium mesh group [4.9％ (2/41) vs.29.7％ (11/37)],there was significant difference (P ＜ 0.05).The hospital stay and operative time between two groups had no significant difference (P ＞ 0.05).Conclusion The digital three-dimensional shaping titanium mesh repair is convenient to operate,it can largely reduce the risks and complications of surgery,and can also achieve a high standard of modeling results,so is worthy of promotion.