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Published in: Journal of Computational Neuroscience 3/2014

01-12-2014

A neural mass model based on single cell dynamics to model pathophysiology

Authors: Bas-Jan Zandt, Sid Visser, Michel J. A. M. van Putten, Bennie ten Haken

Published in: Journal of Computational Neuroscience | Issue 3/2014

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Abstract

Neural mass models are successful in modeling brain rhythms as observed in macroscopic measurements such as the electroencephalogram (EEG). While the synaptic current is explicitly modeled in current models, the single cell electrophysiology is not taken into account. To allow for investigations of the effects of channel pathologies, channel blockers and ion concentrations on macroscopic activity, we formulate neural mass equations explicitly incorporating the single cell dynamics by using a bottom-up approach. The mean and variance of the firing rate and synaptic input distributions are modeled. The firing rate curve (F(I)-curve) is used as link between the single cell and macroscopic dynamics. We show that this model accurately reproduces the behavior of two populations of synaptically connected Hodgkin-Huxley neurons, also in non-steady state.

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Appendix
Available only for authorised users
Footnotes
1
The simulation code is available from modelDB (Hines et al. 2004), accession nr. 155130 and Researchgate www.​researchgate.​net/​profile/​Bas-Jan_​Zandt
 
2
Available from ModelDB, accession nr. 154739.
 
Literature
go back to reference Allen, C., & Stevens, C.F. (1994). An evaluation of causes for unreliability of synaptic transmission. Proceedings National Academy Science USA, 383 (10), 380–10. Allen, C., & Stevens, C.F. (1994). An evaluation of causes for unreliability of synaptic transmission. Proceedings National Academy Science USA, 383 (10), 380–10.
go back to reference Amit, D., & Brunel, N. (1997). Dynamics of a recurrent network of spiking neurons before and following learning Network Computation in Neural Systems. Amit, D., & Brunel, N. (1997). Dynamics of a recurrent network of spiking neurons before and following learning Network Computation in Neural Systems.
go back to reference Baladron, J., Fasoli, D., Faugeras, O., Touboul, J. (2012). Mean-field description and propagation of chaos in networks of hodgkin-huxley and fitzhugh-nagumo neurons. Journal Mathematics Neuroscience, 2 (1), 10. doi:10.1186/2190-8567-2-10.CrossRef Baladron, J., Fasoli, D., Faugeras, O., Touboul, J. (2012). Mean-field description and propagation of chaos in networks of hodgkin-huxley and fitzhugh-nagumo neurons. Journal Mathematics Neuroscience, 2 (1), 10. doi:10.​1186/​2190-8567-2-10.CrossRef
go back to reference Bhattacharya, B.S., Coyle, D., Maguire, L.P. (2011). A thalamo-cortico-thalamic neural mass model to study alpha rhythms in Alzheimer’s disease. Neural networks : the official journal of the International Neural Network Society, 24 (6), 631–45. doi:10.1016/j.neunet.2011.02.009.CrossRef Bhattacharya, B.S., Coyle, D., Maguire, L.P. (2011). A thalamo-cortico-thalamic neural mass model to study alpha rhythms in Alzheimer’s disease. Neural networks : the official journal of the International Neural Network Society, 24 (6), 631–45. doi:10.​1016/​j.​neunet.​2011.​02.​009.CrossRef
go back to reference Chizhov, A., & Graham, L. (2007). Population model of hippocampal pyramidal neurons, linking a refractory density approach to conductance-based neurons. Physical Review E, 75(1) (011), 924. doi:10.1103/PhysRevE.75.011924. Chizhov, A., & Graham, L. (2007). Population model of hippocampal pyramidal neurons, linking a refractory density approach to conductance-based neurons. Physical Review E, 75(1) (011), 924. doi:10.​1103/​PhysRevE.​75.​011924.
go back to reference Deco, G., Jirsa, V.K., Pa, Robinson, Breakspear, M., Friston, K. (2008). The dynamic brain: from spiking neurons to neural masses and cortical fields. PLoS computational biology, 4(8) (e1000), 092. doi:10.1371/journal.pcbi.1000092. Deco, G., Jirsa, V.K., Pa, Robinson, Breakspear, M., Friston, K. (2008). The dynamic brain: from spiking neurons to neural masses and cortical fields. PLoS computational biology, 4(8) (e1000), 092. doi:10.​1371/​journal.​pcbi.​1000092.
go back to reference Grefkes, C., & Fink, G.R. (2011). Reorganization of cerebral networks after stroke: new insights from neuroimaging with connectivity approaches. Brain : a journal of neurology, 134 (Pt 5), 1264–76. doi:10.1093/brain/awr033.CrossRef Grefkes, C., & Fink, G.R. (2011). Reorganization of cerebral networks after stroke: new insights from neuroimaging with connectivity approaches. Brain : a journal of neurology, 134 (Pt 5), 1264–76. doi:10.​1093/​brain/​awr033.CrossRef
go back to reference Hutt, A. (2013). The anesthetic propofol shifts the frequency of maximum spectral power in eeg during general anesthesia: analytical insights from a linear model. Front Computational Neuroscience, 7, 2. doi:10.3389/fncom.2013.00002.CrossRef Hutt, A. (2013). The anesthetic propofol shifts the frequency of maximum spectral power in eeg during general anesthesia: analytical insights from a linear model. Front Computational Neuroscience, 7, 2. doi:10.​3389/​fncom.​2013.​00002.CrossRef
go back to reference Jansen, B.H., & Rit, V.G. (1995). Electroencephalogram and visual evoked potential generation in a mathematical model of coupled cortical columns. Biology Cybernetics, 73 (4), 357–366.CrossRef Jansen, B.H., & Rit, V.G. (1995). Electroencephalogram and visual evoked potential generation in a mathematical model of coupled cortical columns. Biology Cybernetics, 73 (4), 357–366.CrossRef
go back to reference Liley, D.T.J., Cadusch, P.J., Dafilis, M.P. (2002). A spatially continuous mean field theory of electrocortical activity. Network (Bristol England), 13 (1), 67–113.CrossRef Liley, D.T.J., Cadusch, P.J., Dafilis, M.P. (2002). A spatially continuous mean field theory of electrocortical activity. Network (Bristol England), 13 (1), 67–113.CrossRef
go back to reference Manwani, A., & Koch, C. (1999). Detecting and estimating signals in noisy cable structure, i: neuronal noise sources. Neural Computation, 11 (8), 1797–1829.PubMedCrossRef Manwani, A., & Koch, C. (1999). Detecting and estimating signals in noisy cable structure, i: neuronal noise sources. Neural Computation, 11 (8), 1797–1829.PubMedCrossRef
go back to reference Meisler, M.H., & Kearney, J.A. (2005). Sodium channel mutations in epilepsy and other neurological disorders. Journal Clinical Investigation, 115 (8), 2010–2017. doi:10.1172/JCI25466.CrossRef Meisler, M.H., & Kearney, J.A. (2005). Sodium channel mutations in epilepsy and other neurological disorders. Journal Clinical Investigation, 115 (8), 2010–2017. doi:10.​1172/​JCI25466.CrossRef
go back to reference Robinson, P.A., Rennie, C.J., Wright, J.J., Bahramali, H., Gordon, E., Rowe, D.L. (2001). Prediction of electroencephalographic spectra from neurophysiology. Physics Review E Statistics Nonlinear Soft Matter Physics, 63(2 Pt 1) (021), 903. Robinson, P.A., Rennie, C.J., Wright, J.J., Bahramali, H., Gordon, E., Rowe, D.L. (2001). Prediction of electroencephalographic spectra from neurophysiology. Physics Review E Statistics Nonlinear Soft Matter Physics, 63(2 Pt 1) (021), 903.
go back to reference Schevon, C.A., Ng, S.K., Cappell, J., Goodman, R.R., McKhann, G Jr, Waziri, A., Branner, A., Sosunov, A., Schroeder, C.E., Emerson, R.G. (2008). Microphysiology of epileptiform activity in human neocortex. Journal Clinical Neurophysiol, 25 (6), 321–330. doi:10.1097/WNP.0b013e31818e8010.CrossRef Schevon, C.A., Ng, S.K., Cappell, J., Goodman, R.R., McKhann, G Jr, Waziri, A., Branner, A., Sosunov, A., Schroeder, C.E., Emerson, R.G. (2008). Microphysiology of epileptiform activity in human neocortex. Journal Clinical Neurophysiol, 25 (6), 321–330. doi:10.​1097/​WNP.​0b013e31818e8010​.CrossRef
go back to reference Somjen, G.G. (2001). Mechanisms of spreading depression and hypoxic spreading depression-like depolarization. Physiology Reviews, 81 (3), 1065–1096. Somjen, G.G. (2001). Mechanisms of spreading depression and hypoxic spreading depression-like depolarization. Physiology Reviews, 81 (3), 1065–1096.
go back to reference Tjepkema-Cloostermans, M.C., Hindriks, R., Hofmeijer, J., van Putten MJAM (2013). Generalized periodic discharges after acute cerebral ischemia: Reflection of selective synaptic failure?. Clinical Neurophysiol. doi:10.1016/j.clinph.2013.08.005. Tjepkema-Cloostermans, M.C., Hindriks, R., Hofmeijer, J., van Putten MJAM (2013). Generalized periodic discharges after acute cerebral ischemia: Reflection of selective synaptic failure?. Clinical Neurophysiol. doi:10.​1016/​j.​clinph.​2013.​08.​005.
go back to reference Victor, J.D., Drover, J.D., Conte, M.M., Schiff, N.D. (2011). Mean-field modeling of thalamocortical dynamics and a model-driven approach to EEG analysis. Proceedings of the National Academy of Sciences of the United States of America 108 Suppl, 15, 631–8. doi:10.1073/pnas.1012168108. Victor, J.D., Drover, J.D., Conte, M.M., Schiff, N.D. (2011). Mean-field modeling of thalamocortical dynamics and a model-driven approach to EEG analysis. Proceedings of the National Academy of Sciences of the United States of America 108 Suppl, 15, 631–8. doi:10.​1073/​pnas.​1012168108.
go back to reference Ziburkus, J., Cressman, J.R., Barreto, E., Schiff, S.J. (2006). Interneuron and pyramidal cell interplay during in vitro seizure-like events. Journal Neurophysiology, 95 (6), 3948–3954. doi:10.1152/jn.01378.2005.CrossRef Ziburkus, J., Cressman, J.R., Barreto, E., Schiff, S.J. (2006). Interneuron and pyramidal cell interplay during in vitro seizure-like events. Journal Neurophysiology, 95 (6), 3948–3954. doi:10.​1152/​jn.​01378.​2005.CrossRef
Metadata
Title
A neural mass model based on single cell dynamics to model pathophysiology
Authors
Bas-Jan Zandt
Sid Visser
Michel J. A. M. van Putten
Bennie ten Haken
Publication date
01-12-2014
Publisher
Springer US
Published in
Journal of Computational Neuroscience / Issue 3/2014
Print ISSN: 0929-5313
Electronic ISSN: 1573-6873
DOI
https://doi.org/10.1007/s10827-014-0517-5

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