Leaky integrator

In mathematics, a leaky integrator equation is a specific differential equation, used to describe a component or system that takes the integral of an input, but gradually leaks a small amount of input over time.

It appears commonly in hydraulics, electronics, and neuroscience where it can represent either a single neuron or a local population of neurons.

[1] The equation is of the form where C is the input and A is the rate of the 'leak'.

is a constant encoding the initial condition.

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