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A Simple Leaky Integrator and Fire Model for Neurons
We were looking for a way to simulate these circuits that is scalable up to networks of millions or so neurons. So we can actually reduce every element to one differential equation. And then we can also step through it on a much coarser time grid. It ends up being something like a factor of 1000 to 10,000 speed improvement which allows us to simulate, but hopefully up to up to millions of neurons. Whereas before we would have been limited to tens or hundreds in the brain.