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This lecture delves into the Hodgkin & Huxley model, a groundbreaking 1952 model that explains the spike dynamics in excitable membranes. It covers the all-or-nothing nature of spikes, the voltage clamp technique, and the composition of membrane currents. The equations for ion currents, such as Na+ and K+, are explored, along with the fitting of K-conductance and Na current. The lecture also discusses the activation and inactivation functions, the H&H circuit, and the numerical simulation of membrane conductance during action potentials. By extending the H&H model with additional currents, it becomes possible to replicate various spiking activities in different types of nerve cells.