Name
Abstract | ||
|---|---|---|
Various families of Neural Networks (NN) have been used in the study and development of the field of Artificial Intelligence (AI). More recently, the Hodgkin-Huxley (HH) has attracted a fair bit of attention. Apart from the HH neuron possessing desirable "computing" properties, it also can be used to reasonably model biological phenomena, and in particular, in modeling neurons which are "synchronized/desynchronized". This paper, which we believe is a of pioneering sort, derives some of the analytic/learning properties of the HH neuron, and neural network.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. The behavior of this neuron can be switched between these two equilibria, namely spikingand restingrespectively, by using a perturbation method. The change from spiking to resting is referred to as Spike Annihilation. In this paper, we analytically 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 formally derive the characteristics of this brief excitation. We thus believe that our analysis of the HH neuron has practical implications in clinical applications, especially in the case of the desynchronizationof neuronal populations. |
Year | DOI | Venue |
|---|---|---|
2007 | 10.1007/978-3-540-72665-4_28 | Canadian Conference on AI |
Keywords | Field | DocType |
fixed point,neural networks,fair bit,artificial intelligence,spike annihilation,hodgkin-huxley neural network,hh neuron,equilibrium state,desynchronizationof neuronal population,brief excitation,analytic results,clinical application,spikes annihilation,neural network,artificial intelligent,nonlinear system,limit cycle,hodgkin huxley | Statistical physics,Nonlinear system,Bifurcation theory,Equilibrium point,Limit cycle,Artificial intelligence,Fixed point,Artificial neural network,Hopf bifurcation,Physics,Hodgkin–Huxley model | Conference |
Volume | ISSN | Citations |
4509.0 | 0302-9743 | 0 |
PageRank | References | Authors |
0.34 | 1 | 3 |
Name | Order | Citations | PageRank |
|---|---|---|---|
| Dragos Calitoiu | 1 | 22 | 6.91 |
| John B. Oommen | 2 | 13 | 2.48 |
| Doron Nussbaum | 3 | 89 | 13.49 |