General anesthesia has revolutionized healthcare over the past 200 years and continues to show advancements. However, many phenomena induced by general anesthetics including paradoxical excitation are still poorly understood. Voltage-gated sodium channels (Na _V ) were believed to be one of the proteins targeted during general anesthesia. Based on electrophysiological measurements before and after propofol treatments of different concentrations, we mathematically modified the Hodgkin-Huxley sodium channel formulations and constructed a thalamocortical model to investigate the potential roles of Na _V . The ion channels of individual neurons were modeled using the Hodgkin-Huxley type equations. The enhancement of propofol-induced GABAa current was simulated by increasing the maximal conductance and the time-constant of decay. Electroencephalogram (EEG) was evaluated as the post-synaptic potential from pyramidal (PY) cells. We found that a left shift in activation of Na _V was induced primarily by a low concentration of propofol (0.3-10 μM), while a left shift in inactivation of Na _V was induced by an increasing concentration (0.3-30 μM). Mathematical simulation indicated that a left shift of Na _V activation produced a Hopf bifurcation, leading to cell oscillations. Left shift of Na _V activation around a value of 5.5 mV in the thalamocortical models suppressed normal bursting of thalamocortical (TC) cells by triggering its chaotic oscillations. This led to irregular spiking of PY cells and an increased frequency in EEG readings. This observation suggests a mechanism leading to paradoxical excitation during general anesthesia. While a left shift in inactivation led to light hyperpolarization in individual cells, it inhibited the activity of the thalamocortical model after a certain depth of anesthesia. This finding implies that high doses of propofol inhibit the network partly by accelerating Na _V toward inactivation. Additionally, this result explains why the application of sodium channel blockers decreases the requirement for general anesthetics. Our study provides an insight into the roles that Na _V plays in the mechanism of general anesthesia. Since the activation and inactivation of Na _V are structurally independent, it should be possible to avoid side effects by state-dependent binding to the Na _V to achieve precision medicine in the future.

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