How does the diffusion equation differ from the cable
equation?
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Answer / Prashant Mudgal
The diffusion equation and the cable equation are different as they model different physical phenomena. The diffusion equation describes the movement of particles (e.g., ions, molecules) in space due to concentration gradients, while the cable equation models electrical potential distributions along a cylindrical structure (like an axon). The cable equation also incorporates membrane capacitance, resistance, and leakage conductance, as well as ionic currents flowing through various channels.
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