Critical fluctuations and coupling of stochastic neural mass models

We use the model system ethanol–dodecane to demonstrate that giant critical fluctuations induced by easily accessible weak centrifugal fields as low as 2000g can be observed above the miscibility gap even far from the critical point of a binary liquid mixture.

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Mean-Field Models for EEG/MEG: From Oscillations to Waves

Brain Topography ◽

10.1007/s10548-021-00842-4 ◽

2021 ◽

Author(s):

Áine Byrne ◽

James Ross ◽

Rachel Nicks ◽

Stephen Coombes

Keyword(s):

Gap Junction ◽

Large Scale ◽

Mean Field ◽

Coarse Grained ◽

Neural Mass Model ◽

Neuron Network ◽

Mass Model ◽

Mean Field Model ◽

Neural Mass ◽

The Rich

AbstractNeural mass models have been used since the 1970s to model the coarse-grained activity of large populations of neurons. They have proven especially fruitful for understanding brain rhythms. However, although motivated by neurobiological considerations they are phenomenological in nature, and cannot hope to recreate some of the rich repertoire of responses seen in real neuronal tissue. Here we consider a simple spiking neuron network model that has recently been shown to admit an exact mean-field description for both synaptic and gap-junction interactions. The mean-field model takes a similar form to a standard neural mass model, with an additional dynamical equation to describe the evolution of within-population synchrony. As well as reviewing the origins of this next generation mass model we discuss its extension to describe an idealised spatially extended planar cortex. To emphasise the usefulness of this model for EEG/MEG modelling we show how it can be used to uncover the role of local gap-junction coupling in shaping large scale synaptic waves.

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Critical fluctuations of the micellar triethylene glycol monoheptyl ether-water system

The Journal of Chemical Physics ◽

10.1063/1.2179424 ◽

2006 ◽

Vol 124 (12) ◽

pp. 124910 ◽

Cited By ~ 9

Author(s):

J. Haller ◽

R. Behrends ◽

U. Kaatze

Keyword(s):

Water System ◽

Triethylene Glycol ◽

Critical Fluctuations

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Detecting Epileptic Seizures Based on Parameter Estimation of a Neural Mass Model

International Journal of Psychophysiology ◽

10.1016/j.ijpsycho.2021.07.325 ◽

2021 ◽

Vol 168 ◽

pp. S109

Author(s):

Junfeng Lu ◽

Hong Wan ◽

Rui Zhang ◽

Mingming Chen

Keyword(s):

Parameter Estimation ◽

Epileptic Seizures ◽

Neural Mass Model ◽

Mass Model ◽

Neural Mass

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Critical fluctuations of the field emission current

Surface Science ◽

10.1016/0039-6028(94)90272-0 ◽

1994 ◽

Vol 317 (1-2) ◽

pp. 253-258 ◽

Cited By ~ 4

Author(s):

E.S. Shikhovtseva ◽

K. Skwarek ◽

J. Bȩben

Keyword(s):

Field Emission ◽

Emission Current ◽

Critical Fluctuations ◽

Field Emission Current

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On the Fluctuation Induced Excess Conductivity in Stainless Steel Sheathed MgB2 Tapes

Journal of Materials ◽

10.1155/2013/898607 ◽

2013 ◽

Vol 2013 ◽

pp. 1-6 ◽

Cited By ~ 5

Author(s):

Suchitra Rajput ◽

Sujeet Chaudhary

Keyword(s):

Magnetic Field ◽

Experimental Data ◽

Stainless Steel ◽

Coherence Length ◽

Three Dimensional ◽

Excess Conductivity ◽

Scaling Functions ◽

Critical Fluctuations ◽

Scaling Models

We report on the analyses of fluctuation induced excess conductivity in the - behavior in the in situ prepared MgB2 tapes. The scaling functions for critical fluctuations are employed to investigate the excess conductivity of these tapes around transition. Two scaling models for excess conductivity in the absence of magnetic field, namely, first, Aslamazov and Larkin model, second, Lawrence and Doniach model, have been employed for the study. Fitting the experimental - data with these models indicates the three-dimensional nature of conduction of the carriers as opposed to the 2D character exhibited by the HTSCs. The estimated amplitude of coherence length from the fitted model is ~21 Å.

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