How the Accuracy and Computational Cost of Spiking Neuron Simulation are Affected by the Time Span and Firing Rate

Authors

  • Sergio Valadez Godinez Instituto Politecnico Nacional Centro de Investigacion en Computacion
  • Juan Humberto Sossa Azuela Instituto Politecnico Nacional Centro de Investigacion en Computacion
  • Raul Santiago Montero Instituto Tecnologico de Leon Division de Estudios de Posgrado e Investigacion

DOI:

https://doi.org/10.13053/cys-21-4-2787

Keywords:

Simulation, Time step, Time span, Firing rate, Numerical method, Accuracy, Computational cost, Spiking neuron, Hodgkin-Huxley, Izhikevich, Leaky Integrate-and-Fire

Abstract

It is known that, depending on the numerical method, the simulation accuracy of a spiking neuron increases monotonically and that the computational cost increases in a power-law complexity as the time step reduces. Moreover, the accuracy and computational cost also are substantially affected by the mechanism responsible for generating the action potentials. However, little attention has been paid to how the time span and firing rate influence the simulation. The purpose of this study was to describe how the accuracy, computational cost, and efficiency are affected by the time span and firing rate. We found that the simulation is importantly affected by these two variables

Downloads

Published

2017-12-25

Issue

Vol. 21 No. 4 (2017): Advances in Human Language Technologies (Guest Editor: A. Gelbukh)

Section

Articles

License 

Hereby I transfer exclusively to the Journal "Computación y 
Sistemas", published by the Computing Research Center (CIC-IPN),
the Copyright of the aforementioned paper. I also accept that these 
rights will not be transferred to any other publication, in any other 
format, language or other existing means of developing.
I certify that the paper has not been previously disclosed or simultaneo
usly submitted to any other publication, and that it does not contain 
material whose publication would violate the Copyright or other 
proprietary rights of any person, company or institution. I certify that 
I have the permission from the institution or company where I work or 
study to publish this work.
The representative author accepts the responsibility for the publication
of this paper on behalf of each and every one of the authors. 
This transfer is subject to the following conditions:
  • The authors retain all ownership rights (such as patent rights) of this work, except for the publishing rights transferred to the CIC, through this document.
  • Authors retain the right to publish the work in whole or in part in any book they are the authors or publishers. They can also make use of this work in conferences, courses, personal web pages, and so on.
  • Authors may include working as part of his thesis, for non-profit distribution only.