Recent papers by D. Chklovskii and E.M. Izhikevich suggest that wiring costs may play a significant role in the physical layout and function of neuronal structures. About eighty years ago, in his paper on the relationship between diameter and branching angles in trees, C.D. Murray proposed the volume as the cost function which dictates growth. O. Shefi et al. grafted this idea into neuroscience...

A piece-wise constant (ab. PWC) spiking neuron model (ab. PWN) has a PWC vector field with a state-dependent reset and is designed to reproduce responses of neurons. Based on analysis techniques for discontinuous ODEs, the dynamics of inhibitory responses of the PWN can be reduced into an one-dimensional iterative map analytically. Using the map, it is shown that the PWN can reproduce bifurcati...

We propose an implementation of Izhikevich spiking neural networks to solve a 2D path finding problem. Given a 2D grid of size nxn, we can solve the path finding problem with a spiking neural network consisting of n2 neural populations. We propose that the activation of a population encodes the exploration of a certain state with convergence encoding the next best state. The series of next best...

We propose a neural circuit model of emotional learning using two pathways with different granularity and speed of information processing. In order to derive a precise time process, we utilized a spiking model neuron proposed by Izhikevich and spike-timing-dependent synaptic plasticity (STDP) of both excitatory and inhibitory synapses. We conducted computer simulations to evaluate the proposed ...

BACKGROUND Biological neuron models mainly analyze the behavior of neural networks. Neurons are described in terms of firing rates viz an analog signal. PURPOSE The Izhikevich neuron model is an efficient, powerful model of spiking neuron. This model is a reduction of Hodgkin-Huxley model to a two variable system and is capable of producing rich firing patterns for many biological neurons. ...