Rhythmogenic neuronal networks, pacemakers, and k-cores

Details Rhythmogenic neuronal networks, pacemakers, and k-cores Rhythmogenic neuronal networks, pacemakers, and k-cores

2008-12-06

arxiv.org/abs/0812.1248v1

Biology

Quantitative Biology

Neurons and Cognition

4+ pages, 4 figures, submitted to Phys. Rev. Lett

Scientific paper

Neuronal networks are controlled by a combination of the dynamics of individual neurons and the connectivity of the network that links them together. We study a minimal model of the preBotzinger complex, a small neuronal network that controls the breathing rhythm of mammals through periodic firing bursts. We show that the properties of a such a randomly connected network of identical excitatory neurons are fundamentally different from those of uniformly connected neuronal networks as described by mean-field theory. We show that (i) the connectivity properties of the networks determines the location of emergent pacemakers that trigger the firing bursts and (ii) that the collective desensitization that terminates the firing bursts is determined again by the network connectivity, through k-core clusters of neurons.

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