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Explore the mathematical foundations of neural signal transmission in this 50-minute university lecture that examines how the nervous system functions as a communication network through neurons. Delve into the electrochemical mechanisms by which information propagates along axons, the long cylindrical segments of nerve cells that carry messages from the brain to muscles to enable movement. Learn about two fundamental mathematical models used to describe neural activity: the Hodgkin-Huxley model, which provides a detailed biophysical description of ionic currents across cell membranes, and the FitzHugh-Nagumo model, which offers a simplified yet powerful framework for understanding neural excitation and signal propagation. Gain insight into how mathematical approaches can illuminate the complex processes underlying neural communication and motor control in biological systems.
