Quantization of Map-Based Neuronal Model for Embedded Simulations of Neurobiological Networks in Real-Time

The discreet-time (map-based) approach to modeling nonlinear dynamics of spiking and spiking-bursting activity of neurons has demonstrated its very high efficiency in simulations of neuro-biologically realistic behavior both in large-scale network models for brain activity studies and in real-time operation of Central Pattern Generator network models for biomimetic robotics. This paper studies the next step in improving the model computational efficiency that includes quantization of model variables and makes the network models suitable for embedded solutions. We modify a map-based neuron model to enable simulations using only integer arithmetic and demonstrate a significant reduction of computation time in an embedded system using readily available, inexpensive ARM Cortex L4 microprocessors.

[1]  Maxim Bazhenov,et al.  Oscillations and Synchrony in Large-scale Cortical Network Models , 2008, Journal of biological physics.

[2]  Peter Dayan,et al.  Theoretical Neuroscience: Computational and Mathematical Modeling of Neural Systems , 2001 .

[3]  Thomas Nowotny,et al.  GeNN: a code generation framework for accelerated brain simulations , 2016, Scientific Reports.

[4]  G. Shepherd The Synaptic Organization of the Brain , 1979 .

[5]  Yannick Bornat,et al.  Bio-Inspired Controller on an FPGA Applied to Closed-Loop Diaphragmatic Stimulation , 2016, Front. Neurosci..

[6]  Terrence J. Sejnowski,et al.  An Efficient Method for Computing Synaptic Conductances Based on a Kinetic Model of Receptor Binding , 1994, Neural Computation.

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

[8]  Wayne Luk,et al.  NeuroFlow: A General Purpose Spiking Neural Network Simulation Platform using Customizable Processors , 2016, Front. Neurosci..

[9]  Joseph Ayers,et al.  Controlling Biomimetic Underwater Robots With Electronic Nervous Systems , 2008 .

[10]  Nikolai F Rulkov,et al.  Modeling of spiking-bursting neural behavior using two-dimensional map. , 2002, Physical review. E, Statistical, nonlinear, and soft matter physics.

[11]  Stephen B. Furber,et al.  Efficient modelling of spiking neural networks on a scalable chip multiprocessor , 2008, 2008 IEEE International Joint Conference on Neural Networks (IEEE World Congress on Computational Intelligence).

[12]  Anthony Westphal,et al.  Controlling a lamprey-based robot with an electronic nervous system , 2011 .

[13]  Andrey Shilnikov,et al.  Origin of Chaos in a Two-Dimensional Map Modeling Spiking-bursting Neural Activity , 2003, Int. J. Bifurc. Chaos.

[14]  William W. Lytton,et al.  Towards a real-time interface between a biomimetic model of sensorimotor cortex and a robotic arm , 2014, Pattern Recognit. Lett..

[15]  Maxim Bazhenov,et al.  Role of network dynamics in shaping spike timing reliability. , 2005, Physical review. E, Statistical, nonlinear, and soft matter physics.

[16]  N F Rulkov,et al.  Effect of synaptic connectivity on long-range synchronization of fast cortical oscillations. , 2008, Journal of neurophysiology.

[17]  Kathie L. Olsen,et al.  Neurotech for Neuroscience: Unifying Concepts, Organizing Principles, and Emerging Tools , 2007, The Journal of Neuroscience.

[18]  Carol M. Petito The Synaptic Organization of the Brain, 4th Ed , 1998 .

[19]  Nicholas T. Carnevale,et al.  Simulation of networks of spiking neurons: A review of tools and strategies , 2006, Journal of Computational Neuroscience.

[20]  Giacomo Indiveri,et al.  A VLSI array of low-power spiking neurons and bistable synapses with spike-timing dependent plasticity , 2006, IEEE Transactions on Neural Networks.