Spike, rate, field, and hybrid methods for treating neuronal dynamics and interactions

Journal of Neuroscience Methods
P A Robinson, J W Kim

Abstract

Spike-, rate-, and field-based approaches to neural dynamics are adapted and hybridized to provide new methods of analyzing dynamics of single neurons and large neuronal systems, to elucidate the relationships and intermediate forms between these limiting cases, and to enable faster simulations with reduced memory requirements. At the single-neuron level, the new approaches involve reformulation of dynamics in synapses, dendrites, cell bodies, and axons to enable new types of analysis, longer numerical timesteps, and demonstration that rate-based methods can predict spike times. In multineuron systems, hybrids and intermediates between spike-based and field-based coupling between neurons are used to provide stepping stones between descriptions based on pairwise spike-based interactions between neurons and ones based on neural field-based interactions within and between populations, including arbitrary spatial structure and temporal delays in the connections in general. In particular, a new neuron-in-cell approach is introduced that is a hybrid between neural field theory and spiking-neuron models in analogy to particle-in-cell methods in plasma physics. This approach enables large speedups in computations while preserving spike...Continue Reading

References

Jan 1, 1975·The Journal of Pharmacy and Pharmacology·J J Freeman, F Sulser
Oct 1, 1979·Biological cybernetics·G B Ermentrout, J D Cowan
Aug 22, 1989·Proceedings of the Royal Society of London. Series B, Containing Papers of a Biological Character·R M Rose, J L Hindmarsh
Feb 9, 1999·Neural Computation·T K Horiuchi, C Koch
Jul 29, 1996·Physical Review Letters·V K Jirsa, H Haken
Oct 20, 1999·Journal of Theoretical Biology·H R Wilson
Jan 15, 2000·Neural Computation·P C Bressloff, S Coombes
Apr 24, 2002·Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics·M L Steyn-RossD T Liley
Apr 26, 2002·Neural Computation·Werner M Kistler, Wulfram Gerstner
Aug 23, 2002·Physical Review Letters·Paul C Bressloff
Sep 27, 2003·Neural Computation·Oren ShrikiHaim Sompolinsky
Jul 29, 2004·Human Brain Mapping·P A RobinsonS C O'Connor
Oct 16, 2004·IEEE Transactions on Neural Networks·Eugene M Izhikevich
Aug 2, 2005·Biological cybernetics·S Coombes
Aug 11, 2005·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·P A Robinson
Jan 24, 2006·Nature Reviews. Neuroscience·Henry Markram
May 23, 2006·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·P A Robinson
Aug 7, 2007·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Charles H DavisNikolay V Dokholyan
Sep 15, 2007·Philosophical Transactions. Series A, Mathematical, Physical, and Engineering Sciences·Marcus Kaiser
Dec 11, 2007·Journal of Theoretical Biology·P A RobinsonJ W Kim
Feb 23, 2008·Proceedings of the National Academy of Sciences of the United States of America·Eugene M Izhikevich, Gerald M Edelman
Jun 13, 2008·NeuroImage·André C MarreirosKarl J Friston
Sep 5, 2008·PLoS Computational Biology·Gustavo DecoKarl Friston
Nov 18, 2008·NeuroImage·André C MarreirosKarl J Friston
Feb 5, 2009·Nature Reviews. Neuroscience·Ed Bullmore, Olaf Sporns
Apr 2, 2009·Journal of Theoretical Biology·H WuP M Drysdale
Feb 2, 2011·PLoS Computational Biology·Srdjan Ostojic, Nicolas Brunel
Mar 9, 2011·Journal of Computational Neuroscience·Jonathan D Touboul, G Bard Ermentrout

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Citations

Jun 28, 2012·PLoS Computational Biology·M T WilsonD A Steyn-Ross
Jun 25, 2013·Journal of Computational Neuroscience·X ZhaoC J Rennie
Oct 24, 2013·Journal of Computational Neuroscience·M T WilsonJ N J Reynolds
Oct 6, 2012·Journal of Theoretical Biology·P K FungP A Robinson
Nov 11, 2017·Journal of Integrative Neuroscience·Antonio CapolupoGiuseppe Vitiello
Aug 23, 2018·PLoS Computational Biology·Paula Sanz-LeonXuelong Zhao

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