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Volumn 250, Issue 4, 2008, Pages 663-672

Neural rate equations for bursting dynamics derived from conductance-based equations

Author keywords

Conductance equations; Neural bursting; Neural dynamics; Spike rates

Indexed keywords

ANALYTICAL METHOD; NEUROLOGY; POPULATION DYNAMICS;

EID: 38749100642     PISSN: 00225193     EISSN: 10958541     Source Type: Journal    
DOI: 10.1016/j.jtbi.2007.10.020     Document Type: Article
Times cited : (21)

References (36)
  • 1
    • 33747891705 scopus 로고    scopus 로고
    • A unifying explanation of generalized seizures through nonlinear brain modeling and bifurcation analysis
    • Breakspear M., Roberts J.A., Terry J.R., Rodrigues S., Mahant N., and Robinson P.A. A unifying explanation of generalized seizures through nonlinear brain modeling and bifurcation analysis. Cereb. Cortex 16 (2006) 1296-1313
    • (2006) Cereb. Cortex , vol.16 , pp. 1296-1313
    • Breakspear, M.1    Roberts, J.A.2    Terry, J.R.3    Rodrigues, S.4    Mahant, N.5    Robinson, P.A.6
  • 2
    • 0017353458 scopus 로고
    • Neural repetitive firing: modifications of the Hodgkin-Huxley axon suggested by experimental results from crustacean axons
    • Connor J.A., Walter D., and McKown R. Neural repetitive firing: modifications of the Hodgkin-Huxley axon suggested by experimental results from crustacean axons. Biophys. J. 18 (1977) 81-102
    • (1977) Biophys. J. , vol.18 , pp. 81-102
    • Connor, J.A.1    Walter, D.2    McKown, R.3
  • 3
    • 38749114476 scopus 로고
    • Cianello E.R. (Ed), Springer, Berlin
    • Cowan J.D. In: Cianello E.R. (Ed). Neural Networks (1968), Springer, Berlin
    • (1968) Neural Networks
    • Cowan, J.D.1
  • 5
    • 0032186220 scopus 로고    scopus 로고
    • Linearization of F-I curves by adaptation
    • Ermentrout G.B. Linearization of F-I curves by adaptation. Neural Comp. 10 (1998) 1721-1729
    • (1998) Neural Comp. , vol.10 , pp. 1721-1729
    • Ermentrout, G.B.1
  • 6
    • 0001104658 scopus 로고    scopus 로고
    • Neural networks as spatiotemporal pattern-forming systems
    • Ermentrout G.B. Neural networks as spatiotemporal pattern-forming systems. Rep. Prog. Phys. 61 (1998) 353-430
    • (1998) Rep. Prog. Phys. , vol.61 , pp. 353-430
    • Ermentrout, G.B.1
  • 8
    • 0842346369 scopus 로고    scopus 로고
    • Mathematical neuroscience: from neurons to circuits to systems
    • Gutkin B., Pinto D., and Ermentrout G.B. Mathematical neuroscience: from neurons to circuits to systems. J. Physiol.-Paris 97 (2003) 209-219
    • (2003) J. Physiol.-Paris , vol.97 , pp. 209-219
    • Gutkin, B.1    Pinto, D.2    Ermentrout, G.B.3
  • 9
    • 0002932817 scopus 로고
    • The cortical neuron as an electrophysiological unit
    • Gutnick M.J., and Moody I. (Eds), Oxford University Press, Oxford
    • Gutnick M.J., and Crill W.E. The cortical neuron as an electrophysiological unit. In: Gutnick M.J., and Moody I. (Eds). The Cortical Neuron (1995), Oxford University Press, Oxford
    • (1995) The Cortical Neuron
    • Gutnick, M.J.1    Crill, W.E.2
  • 10
    • 35649001607 scopus 로고
    • A quantitative description of membrane current and its application to conduction and excitation in nerve
    • Hodgkin A.L., and Huxley A.F. A quantitative description of membrane current and its application to conduction and excitation in nerve. J. Physiol. 117 (1952) 500-544
    • (1952) J. Physiol. , vol.117 , pp. 500-544
    • Hodgkin, A.L.1    Huxley, A.F.2
  • 11
    • 4344661328 scopus 로고    scopus 로고
    • Which model to use for cortical spiking neurons?
    • Izhikevich E.M. Which model to use for cortical spiking neurons?. IEEE Trans. Neural Networks 15 (2004) 1063-1070
    • (2004) IEEE Trans. Neural Networks , vol.15 , pp. 1063-1070
    • Izhikevich, E.M.1
  • 12
    • 0000456175 scopus 로고    scopus 로고
    • Field theory of electromagnetic brain activity
    • Jirsa V.K., and Haken H. Field theory of electromagnetic brain activity. Phys. Rev. Lett. 77 (1996) 960-963
    • (1996) Phys. Rev. Lett. , vol.77 , pp. 960-963
    • Jirsa, V.K.1    Haken, H.2
  • 14
    • 0016138266 scopus 로고
    • Model of brain rhythmic activity: the alpha rhythm of the thalamus
    • Lopes da Silva F.H., Hoeks A., Smits H., and Zetterberg L.H. Model of brain rhythmic activity: the alpha rhythm of the thalamus. Kybernetic 15 (1974) 27-37
    • (1974) Kybernetic , vol.15 , pp. 27-37
    • Lopes da Silva, F.H.1    Hoeks, A.2    Smits, H.3    Zetterberg, L.H.4
  • 15
    • 0003075806 scopus 로고    scopus 로고
    • Membrane properties and neurotransmitter actions
    • Shepherd G.M. (Ed), Oxford University Press, Oxford
    • McCormick D.A. Membrane properties and neurotransmitter actions. In: Shepherd G.M. (Ed). The Synaptic Organization of the Brain (1998), Oxford University Press, Oxford
    • (1998) The Synaptic Organization of the Brain
    • McCormick, D.A.1
  • 16
    • 0016251737 scopus 로고
    • The brain wave equation: a model for EEG
    • Nunez P.L. The brain wave equation: a model for EEG. Math. Biosci. 21 (1974) 279-297
    • (1974) Math. Biosci. , vol.21 , pp. 279-297
    • Nunez, P.L.1
  • 17
    • 0016125192 scopus 로고
    • Wave-like properties of the alpha rhythm
    • Nunez P.L. Wave-like properties of the alpha rhythm. IEEE Trans. Biomed. Eng. 21 (1974) 473-482
    • (1974) IEEE Trans. Biomed. Eng. , vol.21 , pp. 473-482
    • Nunez, P.L.1
  • 19
    • 0022332422 scopus 로고
    • Excitation dynamics: insights from simplified membrane models
    • Rinzel J.M. Excitation dynamics: insights from simplified membrane models. Fed. Proc. 44 (1985) 2944-2946
    • (1985) Fed. Proc. , vol.44 , pp. 2944-2946
    • Rinzel, J.M.1
  • 20
    • 0002453062 scopus 로고
    • Analysis of neuronal excitability
    • Koch C., and Segev I. (Eds), MIT Press, Cambridge, MA
    • Rinzel J.M., and Ermentrout G.B. Analysis of neuronal excitability. In: Koch C., and Segev I. (Eds). Methods of Neuronal Modeling (1989), MIT Press, Cambridge, MA
    • (1989) Methods of Neuronal Modeling
    • Rinzel, J.M.1    Ermentrout, G.B.2
  • 21
    • 27244444709 scopus 로고    scopus 로고
    • Propagator theory of brain dynamics
    • Robinson P.A. Propagator theory of brain dynamics. Phys. Rev. E 72 (2005) 011904
    • (2005) Phys. Rev. E , vol.72 , pp. 011904
    • Robinson, P.A.1
  • 22
    • 33645660556 scopus 로고    scopus 로고
    • Patchy propagators, cortical dynamics, and the generation of spatially structured gamma oscillations
    • Robinson P.A. Patchy propagators, cortical dynamics, and the generation of spatially structured gamma oscillations. Phys. Rev. E 73 (2006) 041904
    • (2006) Phys. Rev. E , vol.73 , pp. 041904
    • Robinson, P.A.1
  • 23
    • 0001545699 scopus 로고    scopus 로고
    • Propagation and stability of waves of electrical activity in the cerebral cortex
    • Robinson P.A., Rennie C.J., and Wright J.J. Propagation and stability of waves of electrical activity in the cerebral cortex. Phys. Rev. E 56 (1997) 826-840
    • (1997) Phys. Rev. E , vol.56 , pp. 826-840
    • Robinson, P.A.1    Rennie, C.J.2    Wright, J.J.3
  • 25
    • 85035247673 scopus 로고    scopus 로고
    • Dynamics of large-scale brain activity in normal arousal states and epileptic seizures
    • Robinson P.A., Rennie C.J., and Rowe D.L. Dynamics of large-scale brain activity in normal arousal states and epileptic seizures. Phys. Rev. E 65 (2002) 041924
    • (2002) Phys. Rev. E , vol.65 , pp. 041924
    • Robinson, P.A.1    Rennie, C.J.2    Rowe, D.L.3
  • 26
    • 4444303207 scopus 로고    scopus 로고
    • Estimation of multiscale neurophysiologic parameters by electroencephalographic means
    • Robinson P.A., Rennie C.J., Rowe D.L., and O'Connor S.C. Estimation of multiscale neurophysiologic parameters by electroencephalographic means. Human Brain Mapp. 23 (2004) 53-72
    • (2004) Human Brain Mapp. , vol.23 , pp. 53-72
    • Robinson, P.A.1    Rennie, C.J.2    Rowe, D.L.3    O'Connor, S.C.4
  • 28
    • 0024328728 scopus 로고
    • The assembly of ionic currents in a thalamic neuron I: the three-dimensional model
    • Rose R.M., and Hindmarsh J.L. The assembly of ionic currents in a thalamic neuron I: the three-dimensional model. Proc. Roy. Soc. Lond. B 237 (1989) 267-288
    • (1989) Proc. Roy. Soc. Lond. B , vol.237 , pp. 267-288
    • Rose, R.M.1    Hindmarsh, J.L.2
  • 29
    • 0041324844 scopus 로고    scopus 로고
    • Rate models for conductance-based cortical neuronal networks
    • Shriki O., Hansel D., and Sompolinsky H. Rate models for conductance-based cortical neuronal networks. Neural Comp. 15 (2003) 1809-1841
    • (2003) Neural Comp. , vol.15 , pp. 1809-1841
    • Shriki, O.1    Hansel, D.2    Sompolinsky, H.3
  • 30
    • 0033486940 scopus 로고    scopus 로고
    • Theoretical electroencephalogram stationary spectrum for a white-noise-driven cortex: evidence for a general anesthetic-induced phase transition
    • Steyn-Ross M.L., Steyn-Ross D.A., Sleigh J.W., and Liley D.T.J. Theoretical electroencephalogram stationary spectrum for a white-noise-driven cortex: evidence for a general anesthetic-induced phase transition. Phys. Rev. E 60 (1999) 7299-7311
    • (1999) Phys. Rev. E , vol.60 , pp. 7299-7311
    • Steyn-Ross, M.L.1    Steyn-Ross, D.A.2    Sleigh, J.W.3    Liley, D.T.J.4
  • 33
    • 0033592662 scopus 로고    scopus 로고
    • Simplified dynamics of human and mammalian neocortical neurons
    • Wilson H.R. Simplified dynamics of human and mammalian neocortical neurons. J. Theor. Biol. 200 (1999) 375-388
    • (1999) J. Theor. Biol. , vol.200 , pp. 375-388
    • Wilson, H.R.1
  • 35
    • 0015868589 scopus 로고
    • A mathematical theory for the functional dynamics of cortical and thalamic nervous tissue
    • Wilson H.R., and Cowan J.D. A mathematical theory for the functional dynamics of cortical and thalamic nervous tissue. Kybernetik 13 (1973) 55-80
    • (1973) Kybernetik , vol.13 , pp. 55-80
    • Wilson, H.R.1    Cowan, J.D.2
  • 36
    • 0029831991 scopus 로고    scopus 로고
    • Dynamics of the brain at global and microscopic scales: neural networks and the EEG
    • Wright J.J., and Liley D.T.J. Dynamics of the brain at global and microscopic scales: neural networks and the EEG. Behav. Brain Sci. 19 (1996) 285-295
    • (1996) Behav. Brain Sci. , vol.19 , pp. 285-295
    • Wright, J.J.1    Liley, D.T.J.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.