Exact differential equation population dynamics for integrate-and-fire neurons
نویسندگان
چکیده
Mesoscopical, mathematical descriptions of dynamics of populations of spiking neurons are getting increasingly important for the understanding of large-scale processes in the brain using simulations. In our previous work, integral equation formulations for population dynamics have been derived for a special type of spiking neurons. For IntegrateandFire type neurons , these formulations were only approximately correct. Here, we derive a mathematically compact, exact population dynamics formulation for IntegrateandFire type neurons. It can be shown quantitatively in simulations that the numerical correspondence with microscopically modeled neuronal populations is excellent.
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