Title
Numerical results on the Hodgkin-Huxley neural network: spikes annihilation
Abstract
One of various families of Neural Networks (NN) that have been used in the study and development of the field of Artificial Intelligence (AI) is the Hodgkin-Huxley (HH) Network. In addition to the computational properties of the HH neuron, it also can be used to reasonably model biological phenomena, and in particular, in modeling neurons which are "synchronized/desynchronized". The HH Neuron is a nonlinear system with two equilibrium states: A fixed point and a limit cycle. Both of them co-exist and are stable. By using a perturbation method, the behavior of this neuron can be switched between these two equilibria, namely spiking and resting respectively. The process of changing from spiking to resting is referred to as Spike Annihilation. In this paper, we numerically prove the existence of a brief excitation (input) which, when delivered to the HH neuron during its repetitively firing state, annihilates its spikes. We also derive the characteristics of this brief excitation.
Year
DOI
Venue
2007
10.1007/978-3-540-75555-5_36
BVAI
Keywords
DocType
Volume
model biological phenomenon,fixed point,neural networks,artificial intelligence,hodgkin-huxley neural network,limit cycle,spike annihilation,hh neuron,numerical result,equilibrium state,brief excitation,spikes annihilation,computational property,neural network,artificial intelligent,nonlinear system,hodgkin huxley
Conference
4729
ISSN
ISBN
Citations 
0302-9743
3-540-75554-3
0
PageRank 
References 
Authors
0.34
1
3
Name
Order
Citations
PageRank
Dragos Calitoiu1226.91
John B. Oommen2132.48
Doron Nussbaum38913.49