2022
DOI: 10.1101/2022.06.15.496262
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Comparison between an exact and a heuristic neural mass model with second order synapses

Abstract: Neural mass models (NMMs) are designed to reproduce the collective dynamics of neuronal populations. A common framework for NMMs assumes heuristically that the output firing rate of a neural population can be described by a static nonlinear transfer function (NMM1). However, a recent exact mean-field theory for quadratic integrate-and-fire (QIF) neurons challenges this view by showing that the mean firing rate is not a static function of the neuronal state but follows two coupled non-linear differential equati… Show more

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Cited by 3 publications
(3 citation statements)
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References 95 publications
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“…Work along these lines has been carried out in [68, 48], where the effects of electric fields are analyzed at the single neuron level. The emergence of exact mean field theories deriving neural mass models from microscale ones, the construction of detailed population models, as well as experimental work can all help shed some light on the proper rescaling of the coupling parameter in our models [69].…”
Section: Discussionmentioning
confidence: 99%
“…Work along these lines has been carried out in [68, 48], where the effects of electric fields are analyzed at the single neuron level. The emergence of exact mean field theories deriving neural mass models from microscale ones, the construction of detailed population models, as well as experimental work can all help shed some light on the proper rescaling of the coupling parameter in our models [69].…”
Section: Discussionmentioning
confidence: 99%
“…In recent years there has been a growing use of the next generation population modeling framework in a variety of different neuroscience contexts, including abnormal beta rebound in schizophrenia [47], beta bursts seen in single trial data [48], the generation of gamma oscillations [49] and thetanested gamma oscillations [50], syllable segregation in speech comprehension [51], the generation of functional connectivity in whole brain networks [48,52], seizure propagation [53], crossfrequnecy coupling [54] and communication through coherence [55], working memory (with the inclusion of short-term synaptic plasticity) [56], non-invasive transcranial brain stimulation [57], and neurodegeneration [58].…”
Section: Extensions and Applicationsmentioning
confidence: 99%
“…Work along these lines has been carried out in [48,68], where the effects of electric fields are analyzed at the single neuron level. The emergence of exact mean field theories deriving neural mass models from microscale ones, the construction of detailed population models, as well as experimental work can all help shed some light on the proper rescaling of the coupling parameter in our models [69].…”
Section: The Model Can Be Used To Represent the Effects Of Brain Stim...mentioning
confidence: 99%