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Explore the mathematical analysis of action potential propagation in neurons through the FitzHugh-Nagumo model in this 51-minute university lecture. Examine how action potentials travel as waves through neural tissue and determine the mathematical form of these travelling waves. Delve into the theoretical framework that describes the electrical activity in nerve cells, focusing on the simplified two-variable model that captures the essential dynamics of neural excitation and recovery. Learn to analyze the wave solutions mathematically and understand the conditions under which these propagating signals maintain their shape and speed as they move through neural networks.
