A digital synthesis of hindmarsh-rose neuron: A thalamic neuron model of the brain

In recent years, understanding of the brain and its behavior has been an active research field targeting for variety of applications such as: founding new solutions to cure brain diseases, better designation of robots and study of neural network's behavior. In this scheme, the main concept is neuron model as a building block of neural networks. Until now a large variety of the neuron models have been developed. One of these models is biological Hindmarsh-Rose neuron model which it mimics the thalamic neurons of the brain. This paper proposes a digital structure for Hindmarsh-Rose neuron model. Simulation results verify that the proposed circuit can reproduce the spiking pattern, successfully.

[1]  Yong-Bin Kim,et al.  Low power CMOS electronic central pattern generator design for a biomimetic underwater robot , 2007, Neurocomputing.

[2]  S. Sherman,et al.  Integrate-and-Fire-or-Burst Model Thalamocortical Relay Neurons and a Minimal Fourier Analysis of Sinusoidally Driven , 2015 .

[3]  Marco Storace,et al.  Circuit Implementation of Piecewise-Affine Functions and Applications , 2010 .

[4]  Eugene M. Izhikevich,et al.  Which model to use for cortical spiking neurons? , 2004, IEEE Transactions on Neural Networks.

[5]  B. Richmond,et al.  Intrinsic dynamics in neuronal networks. I. Theory. , 2000, Journal of neurophysiology.

[6]  Eugene M. Izhikevich,et al.  Simple model of spiking neurons , 2003, IEEE Trans. Neural Networks.

[7]  A. Hodgkin,et al.  A quantitative description of membrane current and its application to conduction and excitation in nerve , 1990 .

[8]  Piotr Dudek,et al.  Spiking and Bursting Firing Patterns of a Compact VLSI Cortical Neuron Circuit , 2007, 2007 International Joint Conference on Neural Networks.

[9]  Giacomo Indiveri,et al.  A low-power adaptive integrate-and-fire neuron circuit , 2003, Proceedings of the 2003 International Symposium on Circuits and Systems, 2003. ISCAS '03..

[10]  Leslie S. Smith,et al.  Analogue VLSI Integrate and Fire Neural Network for Clustering Onset and Offset Signals in a Sound Segmentation System , 1998 .

[11]  Arash Ahmadi,et al.  Digital Multiplierless Implementation of Biological Adaptive-Exponential Neuron Model , 2014, IEEE Transactions on Circuits and Systems I: Regular Papers.

[12]  Giacomo Indiveri,et al.  Spike-based learning in VLSI networks of integrate-and-fire neurons , 2007, 2007 IEEE International Symposium on Circuits and Systems.

[13]  Eugene M. Izhikevich,et al.  Resonate-and-fire neurons , 2001, Neural Networks.

[14]  Enno de Lange,et al.  The Hindmarsh-Rose neuron model: bifurcation analysis and piecewise-linear approximations. , 2008, Chaos.

[15]  J. Hindmarsh,et al.  The assembly of ionic currents in a thalamic neuron I. The three-dimensional model , 1989, Proceedings of the Royal Society of London. B. Biological Sciences.

[16]  Arash Ahmadi,et al.  Biologically Inspired Spiking Neurons: Piecewise Linear Models and Digital Implementation , 2012, IEEE Transactions on Circuits and Systems I: Regular Papers.

[17]  Saraju P. Mohanty,et al.  High-Level Synthesis Fundamentals , 2008 .

[18]  Niraj K. Jha,et al.  High-Level Synthesis for Low Power , 1998 .

[19]  S. Sherman,et al.  Fourier analysis of sinusoidally driven thalamocortical relay neurons and a minimal integrate-and-fire-or-burst model. , 2000, Journal of neurophysiology.

[20]  A. Treves.  Mean-field analysis of neuronal spike dynamics , 1993 .

[21]  Eugene M. Izhikevich,et al.  Dynamical Systems in Neuroscience: The Geometry of Excitability and Bursting , 2006 .

[22]  Steve Furber,et al.  High-performance computing for systems of spiking neurons , 2006 .