Tuesday, September 27, 2011

Hodgkin-Huxley

I uploaded my presentation on the Hodgkin-Huxley equations which are used to create computer simulations of biologically realistic neuronal networks.

Monday, September 26, 2011

Taylor Series

I uploaded a slide presentation on the Taylor Series which is frequently used in computer simulation and game programming.

Saturday, September 03, 2011

Poisson Distribution

On page 378 of my book Advanced Java Game Programming, I explained how the probability of an enemy tank firing during a game loop update could be approximated by simply multiplying the firing rate with the reciprocal of the frame rate. As part of my recent computational neuroscience research into how to simulate the firing rate of a spiking neuron, I have acquired a more detailed understanding of the mathematics. Please see my slide presentation on the Poisson Distribution for both the exact formula and justification for the approximation.