##### Department of Mathematics,

University of California San Diego

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### Stochastic Systems

## Dr. Eugene M. Izhikevich

#### The Neurosciences Institute, San Diego

## Simple model of spiking neurons

##### Abstract:

I present an introduction into the mechanisms of generation of spikes and bursts in neurons and in Hodgkin-Huxley-type neuronal models. Then I present a deterministic model that reproduces spiking and bursting behavior of known types of cortical neurons. The model combines the biologically plausibility of Hodgkin-Huxley-type dynamics and the computational efficiency of integrate-and-fire neurons. Using this model, one can simulate tens of thousands of spiking cortical neurons in real time (1 ms resolution) using a desktop PC. \vskip .1in \noindent MATLAB and C++ code, as well as pdf file of the paper are available at http://www.nsi.edu/users/izhikevich/publications/spikes.htm

Host: Ruth Williams

### October 19, 2005

### 3:00 PM

### AP&M 6218

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