Physical Review E · 2011 · 53 citations · 19 references
Life SciencesNeurobiologyNeuroscienceComputational NeuroscienceNeurophysiologySystems NeuroscienceNeural Circuit DynamicsNeural Circuit ModelingNeural CodingNeural ExcitabilityNeuronal DynamicsPopulation CodingExcitable SystemsMaster Equation ApproachesMaster EquationsNeural AdaptationNeural Population CodesSpike-frequency AdaptationStochastic Neural DynamicsStochastic Neuron Models
Sequences of events in noise-driven excitable systems with slow variables often show serial correlations among their intervals of events. Here, we employ a master equation for generalized non-renewal processes to calculate the interval and count statistics of superimposed processes governed by a slow adaptation variable. For an ensemble of neurons with spike-frequency adaptation, this results in the regularization of the population activity and an enhanced postsynaptic signal decoding. We confirm our theoretical results in a population of cortical neurons recorded in vivo.
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<i>The Principles of Quantum Mechanics</i>
P. A. M. Dirac, J. C. Polkinghorne · Physics Today · 1958 · 5.3K citations
Fractional differentiation by neocortical pyramidal neurons
Brian N. Lundstrom, Matthew H. Higgs, William J. Spain et al. · Nature Neuroscience · 2008 · 685 citations · Full text