Mathematical-model-based design of silicon burst neurons

Authors:
Takashi Kohno;Kazuyuki Aihara
Affiliations:
Aihara Complexity Modelling Project, ERATO, JST, 2F, 3-23-5, Uehara, Shibuya-ku, Tokyo 151-0064, Japan and Institute of Industrial Science, The University of Tokyo, Meguro-ku, Tokyo 153-8505, Japa ...;Aihara Complexity Modelling Project, ERATO, JST, 2F, 3-23-5, Uehara, Shibuya-ku, Tokyo 151-0064, Japan and Institute of Industrial Science, The University of Tokyo, Meguro-ku, Tokyo 153-8505, Japa ...
Venue:
Neurocomputing
Year:
2008

Citing 8
Cited 0

Analog VLSI and neural systems

Analog VLSI and neural systems
Analysis of neural excitability and oscillations

Methods in neuronal modeling
Oscillatory and bursting properties of neurons

The handbook of brain theory and neural networks
A neural simulation system based on biologically realistic electronic neurons

Information Sciences—Informatics and Computer Science: An International Journal - Special issue: Bio-inspired systems (BIS)
Modeling slowly bursting neurons via calcium store and voltage-independent calcium current

Neural Computation
Bottom-up design of Class 2 silicon nerve membrane

Journal of Intelligent & Fuzzy Systems: Applications in Engineering and Technology - VIII Brazilian Symposium on Neural Networks
A VLSI recurrent network of integrate-and-fire neurons connected by plastic synapses with long-term memory

IEEE Transactions on Neural Networks
A MOSFET-based model of a class 2 nerve membrane

IEEE Transactions on Neural Networks

Quantified Score

Hi-index	0.01

Visualization

Abstract

Conventionally, silicon neurons have been designed based on two major principles, namely phenomenological and conductance-based principles. In previous studies [T. Kohno, K. Aihara, Parameter tuning of a MOSFET-based nerve membrane, in: Proceedings of the 10th International Symposium on Artificial Life and Robotics 2005, 2005, pp. 91-94; T. Kohno, K. Aihara, A MOSFET-based model of a Class 2 Nerve membrane, IEEE Trans. Neural Networks 16 (3) (2005) 754-773; T. Kohno, K. Aihara, Bottom-up design of Class 2 silicon nerve membrane, J. Intell. Fuzzy Syst., in press], we proposed a mathematical-model-based design principle that is based on phase plane and bifurcation analyses. It reproduces the mathematical structures of biological neuron models, thus making the silicon neurons simple and biologically realistic. In this study, we demonstrate that square-wave and another type of silicon bursters can be constructed by adding simple circuitries and tuning the system parameters for the silicon nerve membrane designed in our previous studies. Our simple square-wave burster exhibits various firing patterns, including chaotic spiking and bursting.