dorsal/arxiv
View SchemaResponse of electrically coupled spiking neurons: a cellular automaton approach
| Authors | Lucas S. Furtado, Mauro Copelli |
|---|---|
| Categories | |
| ArXiv ID | q-bio/0511050 |
| URL | https://arxiv.org/abs/q-bio/0511050 |
| DOI | 10.1103/PhysRevE.73.011907 |
| Journal | Phys. Rev. E, 73, 011907 (2006) |
Abstract
Experimental data suggest that some classes of spiking neurons in the first layers of sensory systems are electrically coupled via gap junctions or ephaptic interactions. When the electrical coupling is removed, the response function (firing rate {\it vs.} stimulus intensity) of the uncoupled neurons typically shows a decrease in dynamic range and sensitivity. In order to assess the effect of electrical coupling in the sensory periphery, we calculate the response to a Poisson stimulus of a chain of excitable neurons modeled by $n$-state Greenberg-Hastings cellular automata in two approximation levels. The single-site mean field approximation is shown to give poor results, failing to predict the absorbing state of the lattice, while the results for the pair approximation are in good agreement with computer simulations in the whole stimulus range. In particular, the dynamic range is substantially enlarged due to the propagation of excitable waves, which suggests a functional role for lateral electrical coupling. For probabilistic spike propagation the Hill exponent of the response function is $\alpha=1$, while for deterministic spike propagation we obtain $\alpha=1/2$, which is close to the experimental values of the psychophysical Stevens exponents for odor and light intensities. Our calculations are in qualitative agreement with experimental response functions of ganglion cells in the mammalian retina.
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"abstract": "Experimental data suggest that some classes of spiking neurons in the first\nlayers of sensory systems are electrically coupled via gap junctions or\nephaptic interactions. When the electrical coupling is removed, the response\nfunction (firing rate {\\it vs.} stimulus intensity) of the uncoupled neurons\ntypically shows a decrease in dynamic range and sensitivity. In order to assess\nthe effect of electrical coupling in the sensory periphery, we calculate the\nresponse to a Poisson stimulus of a chain of excitable neurons modeled by\n$n$-state Greenberg-Hastings cellular automata in two approximation levels. The\nsingle-site mean field approximation is shown to give poor results, failing to\npredict the absorbing state of the lattice, while the results for the pair\napproximation are in good agreement with computer simulations in the whole\nstimulus range. In particular, the dynamic range is substantially enlarged due\nto the propagation of excitable waves, which suggests a functional role for\nlateral electrical coupling. For probabilistic spike propagation the Hill\nexponent of the response function is $\\alpha=1$, while for deterministic spike\npropagation we obtain $\\alpha=1/2$, which is close to the experimental values\nof the psychophysical Stevens exponents for odor and light intensities. Our\ncalculations are in qualitative agreement with experimental response functions\nof ganglion cells in the mammalian retina.",
"arxiv_id": "q-bio/0511050",
"authors": [
"Lucas S. Furtado",
"Mauro Copelli"
],
"categories": [
"q-bio.NC",
"cond-mat.dis-nn",
"nlin.CG",
"physics.bio-ph"
],
"doi": "10.1103/PhysRevE.73.011907",
"journal_ref": "Phys. Rev. E, 73, 011907 (2006)",
"title": "Response of electrically coupled spiking neurons: a cellular automaton approach",
"url": "https://arxiv.org/abs/q-bio/0511050"
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