Firing Pattern Estimation of Biological Neuron Models by Adaptive Observer

Authors:
Kouichi Mitsunaga;Yusuke Totoki;Takami Matsuo
Affiliations:
Control Engineering Department, Oita Institute of Technology, Oita, Japan;Department of Architecture and Mechatronics, Oita University, Oita, Japan 870-1192;Department of Architecture and Mechatronics, Oita University, Oita, Japan 870-1192
Venue:
Neural Information Processing
Year:
2007

Citing 3
Cited 1

Stable adaptive systems

Stable adaptive systems
Simple model of spiking neurons

IEEE Transactions on Neural Networks
Which model to use for cortical spiking neurons?

IEEE Transactions on Neural Networks

Firing Pattern Estimation of Synaptically Coupled Hindmarsh-Rose Neurons by Adaptive Observer

ICANN '08 Proceedings of the 18th international conference on Artificial Neural Networks, Part II

Quantified Score

Hi-index	0.01

Visualization

Abstract

In this paper, we present three adaptive observers with the membrane potential measurement under the assumption that some of parameters in HR neuron are known. Using the Strictly Positive Realness and Yu's stability criterion, we can show the asymptotic stability of the error systems. The estimators allow us to recover the internal states and to distinguish the firing patterns with early-time dynamic behaviors.