Stability Analysis in a Temperature-Dependent Model of Neurons

Neural oscillation occurs in many neural disorders such as Parkinson or epilepsy, that makes it important to study methods to suppress these oscillations. Stability analysis of different system behaviors can play a crucial role in understanding dynamical mechanisms in cell modelling. In this study, mathematical method is used to investigate the effect of potassium Nernst Voltage (VK) and temperature (T). In this regard, we analyze the stability and bifurcations of a modified version of Hodgkin-Huxley model by changing multi parameters. The (VK, T) plane is partitioned into two regions which indicates stable and unstable behaviors. Numerical simulations illustrate the validity of the analysis. The results could be helpful in studying temperature stimulation of diseased cells.