CIS6930/4930 Intro to Computational Neuroscience Spring 2006Home Work Assignment 6:Due Monday 05/1/06 before classThis project is about first constructing a random cortical network of spiking neurons and stabilizing itsactivity in the range 0-50 Hz. In the second part, you computationally ascertain whether the dynamics of thesystem issensitive to initial conditions.1. (50 pts) Begin by constructing a network of1000neurons,80%of which are randomly chosen tobe excitatory neurons and the remaining inhibitory neurons. Now assign100synapses (each neuronreceivesinputs from100neurons) to each neuron and randomly choose the pre-synaptic neurons foreach such post-synaptic neuron. Next assign 50 variables to each neuron to store the times at whichthe neuron spiked in the past100msec (Naturally, the time bound for the horizon is100msec.)Finally, build a spike response model for each neuron as follows. The total potential at the soma of a
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