Computational Neuroscience
First-order differential equations are mathematical equations that relate a function with its first derivative. They play a crucial role in modeling dynamic systems, including those in biology and neuroscience, as they describe how a system's state changes over time or in response to external factors. These equations are often used to represent the behavior of biological phenomena, such as the action potentials in neurons, through models like the Hodgkin-Huxley framework and other conductance-based models.
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