Special Issue: Spiking Neural Networks; Guest Editors: Nazmul Siddique, Bernard Widrow and Liam MaguireNo Access

A GENERALIZED LEAKY INTEGRATE-AND-FIRE NEURON MODEL WITH FAST IMPLEMENTATION METHOD

Center for Advanced Technology and Education, Florida International University, 10555 W Flagler St, Miami, FL 33174, USA

Search for more papers by this author

LILIN GUO

Center for Advanced Technology and Education, Florida International University, 10555 W Flagler St, Miami, FL 33174, USA

Search for more papers by this author

, and

MALEK ADJOUADI

Center for Advanced Technology and Education, Florida International University, 10555 W Flagler St, Miami, FL 33174, USA

Corresponding author.

Search for more papers by this author

https://doi.org/10.1142/S0129065714400048Cited by:33 (Source: Crossref)

Abstract

This study introduces a new Generalized Leaky Integrate-and-Fire (GLIF) neuron model with variable leaking resistor and bias current in order to reproduce accurately the membrane voltage dynamics of a biological neuron. The accuracy of this model is ensured by adjusting its parameters to the statistical properties of the Hodgkin–Huxley model outputs; while the speed is enhanced by introducing a Generalized Exponential Moving Average method that converts the parameterized kernel functions into pre-calculated lookup tables based on an analytic solution of the dynamic equations of the GLIF model.

Keywords:

References

W. Maass, IEEE Trans. Neural Netw. 10(9), 1659 (1997), DOI: 10.1016/S0893-6080(97)00011-7. Web of Science, Google Scholar
D. Z. Jin, Phys. Rev. E 69, 021905 (2004), DOI: 10.1103/PhysRevE.69.021905. Web of Science, Google Scholar
A. L. Hodgkin and A. F. Huxley, J. Physiol. 117(4), 500 (1952). Medline, Web of Science, Google Scholar
A. L. Hodgkin and A. F. Huxley, J. Physiol. 104(2), 176 (1945). Medline, Web of Science, Google Scholar
A. L. Hodgkin and A. F. Huxley, J. Physiol. 116(4), 473 (1952). Medline, Web of Science, Google Scholar
M. Pospischilet al., Biol. Cybern. 99(5), 427 (2008), DOI: 10.1007/s00422-008-0263-8. Medline, Web of Science, Google Scholar
E. M. Izhikevich, IEEE Trans. Neural Netw. 14(6), 1569 (2003), DOI: 10.1109/TNN.2003.820440. Medline, Web of Science, Google Scholar
E. M. Izhikevich, IEEE Trans. Neural Netw. 15(5), 1063 (2004), DOI: 10.1109/TNN.2004.832719. Medline, Web of Science, Google Scholar
D. Yudanov and L. Reznik, Scalable multi-precision simulation of spiking neural networks on GPU with OpenCL, Proc. 2012 Int. Joint Conf. Neural Networks (2012) pp. 1–8. Google Scholar
P. Arenaet al., IEEE Trans. Neural Netw. 20(2), 202 (2009), DOI: 10.1109/TNN.2008.2005134. Medline, Web of Science, Google Scholar
S. Ghosh-Dastidar and H. Adeli, Int. J. Neural Syst. 19(4), 295 (2009), DOI: 10.1142/S0129065709002002. Link, Web of Science, Google Scholar
A. N. Burkitt, Biol. Cybern. 95(1), 1 (2006), DOI: 10.1007/s00422-006-0068-6. Medline, Web of Science, Google Scholar
M. J. Chacron, K. Pakdaman and A. Longtin, Neural Comput. 15(2), 253 (2003), DOI: 10.1162/089976603762552915. Medline, Web of Science, Google Scholar
G. B. Ermentrout and N. Kopell, SIAM J. Appl. Math. 46(2), 233 (1986), DOI: 10.1137/0146017. Web of Science, Google Scholar
R. Brette and W. Gerstner, J. Neurophysiol. 94(5), 3637 (2005), DOI: 10.1152/jn.00686.2005. Medline, Web of Science, Google Scholar
R. Naudet al., Biol. Cybern. 99(5), 335 (2008), DOI: 10.1007/s00422-008-0264-7. Medline, Web of Science, Google Scholar
A. N. Burkitt, Biol. Cybern. 95(1), 1 (2006), DOI: 10.1007/s00422-006-0068-6. Medline, Web of Science, Google Scholar
S. Ghosh-Dastidar and H. Adeli, Integr. Comput. Aided Eng. 14(3), 187 (2007). Web of Science, Google Scholar
Y.-H. Liu and X.-J. Wang, J. Comput. Neurosci. 10(1), 25 (2001), DOI: 10.1023/A:1008916026143. Medline, Web of Science, Google Scholar
C. R. Huyck and R. V. Belavkin, Counting with neurons: Rule application with nets of fatiguing leaky integrate and fire neurons, Proc. 7th Int. Conf. Cognitive Modeling (2006) pp. 142–147. Google Scholar
R. Kobayashi, Y. Tsubo and S. Shinomoto, Front. Comput. Neurosci. 3(9), 1 (2009), DOI: 10.3389/neuro.10.009.2009. Medline, Web of Science, Google Scholar
W. Gerstner and R. Naud, Science 326(5951), 379 (2009), DOI: 10.1126/science.1181936. Medline, Web of Science, Google Scholar
M. Miglioreet al., J. Comput. Neurosci. 21, 119 (2006), DOI: 10.1007/s10827-006-7949-5. Medline, Web of Science, Google Scholar
T. Yamanishi, J.-Q. Liu and H. Nishimura, Int. J. Neural Syst. 22(4), 1250016 (2012), DOI: 10.1142/S0129065712500165. Link, Web of Science, Google Scholar
Y. Asai and A. E. Villa, Brain Res. 1434, 17 (2012), DOI: 10.1016/j.brainres.2011.10.012. Medline, Web of Science, Google Scholar
S. Ghosh-Dastidar and H. Adeli, Neural Netw. 22(10), 1419 (2009), DOI: 10.1016/j.neunet.2009.04.003. Medline, Web of Science, Google Scholar
N. Fourcaud-Trocmeet al., J. Neurosci. 23(37), 11628 (2003). Medline, Web of Science, Google Scholar
E. Nichols, L. J. McDaid and N. H. Siddique, Int. J. Neural Syst. 20(6), 501 (2010), DOI: 10.1142/S0129065710002577. Link, Web of Science, Google Scholar
J. Iglesias and A. E. P. Villa, Int. J. Neural Syst. 18(4), 267 (2008), DOI: 10.1142/S0129065708001580. Link, Web of Science, Google Scholar
A. Mohemmedet al., Int. J. Neural Syst. 22(4), 1250012-1 (2012), DOI: 10.1142/S0129065712500128. Web of Science, Google Scholar
N. R. Luqueet al., Int. J. Neural Syst. 21(5), 385 (2011), DOI: 10.1142/S0129065711002900. Link, Web of Science, Google Scholar
N. R. Luqueet al., Int. J. Neural Syst. 22(4), 1250013-1 (2012), DOI: 10.1142/S012906571250013X. Web of Science, Google Scholar
J.-H. Shinet al., IEEE Trans. Neural Netw. 21(11), 1697 (2010). Medline, Web of Science, Google Scholar
E. Roset al., Neural Comput. 18(12), 2959 (2006), DOI: 10.1162/neco.2006.18.12.2959. Medline, Web of Science, Google Scholar
W. Gerstner and W. M. Kistler , Spiking Neuron Models: Single Neurons, Populations, Plasticity ( Cambridge University Press , Cambridge, United Kingdom , 2002 ) . Google Scholar
K. Ramanathanet al., Int. J. Neural Syst. 22(4), 1250015-1 (2012), DOI: 10.1142/S0129065712500153. Web of Science, Google Scholar
W. K. Wonget al., Int. J. Neural Syst. 22(4), 1250017-1 (2012), DOI: 10.1142/S0129065712500177. Web of Science, Google Scholar
S. Schliebs, N. Nuntalid and N. Kasabov, Towards spatio-temporal pattern recognition using evolving spiking neural networks, Proc. 17th Conf. Neural Information Processing Theory and Algorithms, eds. K. Wong, B. S. Mendis and A. Bouzerdoum (2010) pp. 163–170. Google Scholar