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Volumn 9, Issue 3, 1999, Pages 795-804

A coupled ordinary differential equation lattice model for the simulation of epileptic seizures

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EID: 0033196391     PISSN: 10541500     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.166453     Document Type: Article
Times cited : (75)

References (45)
  • 1
    • 0025393917 scopus 로고
    • Basic mechanisms of focal epilepsies
    • J. G. R. Jeffreys, "Basic mechanisms of focal epilepsies," Exp. Physiol. 75, 127-162 (1990).
    • (1990) Exp. Physiol. , vol.75 , pp. 127-162
    • Jeffreys, J.G.R.1
  • 3
    • 0009186982 scopus 로고
    • The natural history of seizures
    • edited by E. Wyllie Lea & Febiger, Philadelphia
    • W. A. Hauser, "The natural history of seizures," in The Treatment of Epilepsy: Principles and Practice, edited by E. Wyllie (Lea & Febiger, Philadelphia, 1993), pp. 165-170.
    • (1993) The Treatment of Epilepsy: Principles and Practice , pp. 165-170
    • Hauser, W.A.1
  • 4
    • 0027152087 scopus 로고
    • The incidence of epilepsy and unprovoked seizures in Rochester, Minnesota, 1935-1984
    • W. A. Hauser, J. F. Annegers, and L. T. Kurland, "The incidence of epilepsy and unprovoked seizures in Rochester, Minnesota, 1935-1984," Epilepsia 34, 453 (1993).
    • (1993) Epilepsia , vol.34 , pp. 453
    • Hauser, W.A.1    Annegers, J.F.2    Kurland, L.T.3
  • 5
    • 85033968161 scopus 로고    scopus 로고
    • E. Wyllie, in Ref. 3
    • E. Wyllie, in Ref. 3.
  • 6
    • 0031749914 scopus 로고    scopus 로고
    • FDG-PET and MRI in temporal lobe epilepsy: Relationship to febrile seizures, hippocampal sclerosis and outcome
    • V. Salanova et al., "FDG-PET and MRI in temporal lobe epilepsy: relationship to febrile seizures, hippocampal sclerosis and outcome," Acta Neurol. Scand. 97, 146 (1998).
    • (1998) Acta Neurol. Scand. , vol.97 , pp. 146
    • Salanova, V.1
  • 7
    • 0015260274 scopus 로고
    • Excitatory and inhibitory interaction in localized populations of model neurons
    • H. R. Wilson and J. D. Cowan, "Excitatory and inhibitory interaction in localized populations of model neurons," Biophys. J. 12, 1-24 (1972).
    • (1972) Biophys. J. , vol.12 , pp. 1-24
    • Wilson, H.R.1    Cowan, J.D.2
  • 8
    • 0017153507 scopus 로고
    • A model of cell firing patterns during epileptic seizures
    • L. K. Kaczmarek, "A model of cell firing patterns during epileptic seizures," Biol. Cybern. 22, 229-234 (1976).
    • (1976) Biol. Cybern. , vol.22 , pp. 229-234
    • Kaczmarek, L.K.1
  • 9
    • 0019526830 scopus 로고
    • A Fitzhugh differential-difference equation modeling recurrent neural feedback
    • R. E. Plant, "A Fitzhugh differential-difference equation modeling recurrent neural feedback," SIAM (Soc. Ind. Appl. Math.) J. Appl. Math. 40, 150-151 (1981).
    • (1981) SIAM (Soc. Ind. Appl. Math.) J. Appl. Math. , vol.40 , pp. 150-151
    • Plant, R.E.1
  • 10
    • 0021140794 scopus 로고
    • The dynamics of recurrent inhibition
    • M. C. Mackey and U. an der Heiden, "The dynamics of recurrent inhibition." J. Math. Biol. 19, 211-225 (1984).
    • (1984) J. Math. Biol. , vol.19 , pp. 211-225
    • Mackey, M.C.1    An Der Heiden, U.2
  • 11
    • 0025633911 scopus 로고
    • Complex dynamics and noise in simple neural networks with delayed mixed feedback
    • J. G. Milton et al., "Complex dynamics and noise in simple neural networks with delayed mixed feedback," Biomed. Biochim. Acta 49, 697-707 (1990).
    • (1990) Biomed. Biochim. Acta , vol.49 , pp. 697-707
    • Milton, J.G.1
  • 14
    • 0025635679 scopus 로고
    • Osmolality-induced changes in extracellular volume alter epileptiform bursts independent of chemical synapses in the rat: Importance of non-synaptic mechanisms in hippocampal epileptogenesis
    • F. E. Dudek, A. Obenaus, and J. G. Tasker, "Osmolality-induced changes in extracellular volume alter epileptiform bursts independent of chemical synapses in the rat: importance of non-synaptic mechanisms in hippocampal epileptogenesis," Neurosci. Lett. 120, 267-270 (1990).
    • (1990) Neurosci. Lett. , vol.120 , pp. 267-270
    • Dudek, F.E.1    Obenaus, A.2    Tasker, J.G.3
  • 15
    • 0028896983 scopus 로고
    • 0 in the adult rat entorhinal cortex maintained in vitro
    • 0 in the adult rat entorhinal cortex maintained in vitro," Neurosci. Lett. 185, 155-158 (1995).
    • (1995) Neurosci. Lett. , vol.185 , pp. 155-158
    • Lucke, A.1
  • 16
    • 0027934480 scopus 로고
    • Potassium currents in epilepsy: Effects of the epileptogenic agent pentylenetetrazol on a cloned potassium channel
    • M. Madeja et al., "Potassium currents in epilepsy: effects of the epileptogenic agent pentylenetetrazol on a cloned potassium channel," Brain Res. 656, 287-294 (1994).
    • (1994) Brain Res. , vol.656 , pp. 287-294
    • Madeja, M.1
  • 17
    • 0027225861 scopus 로고
    • + can synchronize bursting oscillations in a model islet of Langerhans
    • + can synchronize bursting oscillations in a model islet of Langerhans," Biophys. J. 65, 597-607 (1993).
    • (1993) Biophys. J. , vol.65 , pp. 597-607
    • Stokes, C.L.1    Rinzel, J.2
  • 19
    • 0028845558 scopus 로고
    • Neurochemical and morphological changes associated with human epilepsy
    • M. Glass and M. Dragunow, "Neurochemical and morphological changes associated with human epilepsy," Brain Res. Rev. 21, 29-41 (1995).
    • (1995) Brain Res. Rev. , vol.21 , pp. 29-41
    • Glass, M.1    Dragunow, M.2
  • 20
    • 0028359677 scopus 로고
    • The functional organization of the hippocampal dentate gyrus and its relevance to the pathogenesis of temporal lobe epilepsy
    • R. S. Sloviter, "The functional organization of the hippocampal dentate gyrus and its relevance to the pathogenesis of temporal lobe epilepsy," Ann. Neurol. 35, 640-654 (1994).
    • (1994) Ann. Neurol. , vol.35 , pp. 640-654
    • Sloviter, R.S.1
  • 21
    • 0029011707 scopus 로고
    • Hippocampal GABA transporter function in temporal-lobe epilepsy
    • M. J. During, K. M. Ryder, and D. D. Spencer, "Hippocampal GABA transporter function in temporal-lobe epilepsy," Nature (London) 376, 174-177 (1995).
    • (1995) Nature (London) , vol.376 , pp. 174-177
    • During, M.J.1    Ryder, K.M.2    Spencer, D.D.3
  • 22
    • 0001297707 scopus 로고
    • Dynamics of globally coupled inhibitory neurons with heterogeneity
    • D. Golomb and J. Rinzel, "Dynamics of globally coupled inhibitory neurons with heterogeneity," Phys. Rev. E 48, 4810 (1993).
    • (1993) Phys. Rev. E , vol.48 , pp. 4810
    • Golomb, D.1    Rinzel, J.2
  • 23
    • 0024503070 scopus 로고
    • Model of the origin of rhythmic population oscillation in the hippocampal slice
    • R. D. Traub, R. Miles, and R. K. S. Wong, "Model of the origin of rhythmic population oscillation in the hippocampal slice," Science 243, 1319-1325 (1989).
    • (1989) Science , vol.243 , pp. 1319-1325
    • Traub, R.D.1    Miles, R.2    Wong, R.K.S.3
  • 24
    • 76949125485 scopus 로고
    • The components of membrane conductance in the giant axon of Loligo
    • A. L. Hodgkin and A. F. Huxley, "The components of membrane conductance in the giant axon of Loligo," J. Physiol. (London) 116, 473-496 (1952).
    • (1952) J. Physiol. (London) , vol.116 , pp. 473-496
    • Hodgkin, A.L.1    Huxley, A.F.2
  • 25
    • 35649001607 scopus 로고
    • A quantitative description of membrane current and its application to conduction and excitation in nerve
    • A. L. Hodgkin and A. F. Huxley, "A quantitative description of membrane current and its application to conduction and excitation in nerve," J. Physiol. (London) 117, 500 (1952).
    • (1952) J. Physiol. (London) , vol.117 , pp. 500
    • Hodgkin, A.L.1    Huxley, A.F.2
  • 26
    • 0019405994 scopus 로고
    • Voltage oscillations in the barnacle giant muscle fiber
    • C. Morris and H. Lecar, "Voltage oscillations in the barnacle giant muscle fiber," Biophys. J. 35, 193-213 (1981).
    • (1981) Biophys. J. , vol.35 , pp. 193-213
    • Morris, C.1    Lecar, H.2
  • 27
    • 0002453062 scopus 로고
    • Analysis of neural excitability and oscillations
    • edited by C. Koch and I. Segev MIT, Cambridge, MA
    • J. Rinzel and G. B. Ermentrout, "Analysis of neural excitability and oscillations," in Methods in neuronal modeling: from synapses to networks, edited by C. Koch and I. Segev (MIT, Cambridge, MA, 1989), pp. 135-169.
    • (1989) Methods in Neuronal Modeling: from Synapses to Networks , pp. 135-169
    • Rinzel, J.1    Ermentrout, G.B.2
  • 28
    • 34848902004 scopus 로고
    • Overview of coupled map lattices
    • K. Kaneko, "Overview of coupled map lattices," Chaos 2, 279-282 (1992).
    • (1992) Chaos , vol.2 , pp. 279-282
    • Kaneko, K.1
  • 29
    • 0022530614 scopus 로고
    • Low dimensional chaos in an instance of epilepsy
    • A. Babloyantz and A. Destexhe, "Low dimensional chaos in an instance of epilepsy," Proc. Natl. Acad. Sci. USA 83, 3513-3517 (1986).
    • (1986) Proc. Natl. Acad. Sci. USA , vol.83 , pp. 3513-3517
    • Babloyantz, A.1    Destexhe, A.2
  • 31
    • 0000884846 scopus 로고
    • Oscillations, complex spatiotemporal behavior, and information transport in networks of excitatory and inhibitory neurons
    • A. Destexhe, "Oscillations, complex spatiotemporal behavior, and information transport in networks of excitatory and inhibitory neurons," Phys. Rev. E 50, 1594 (1994).
    • (1994) Phys. Rev. E , vol.50 , pp. 1594
    • Destexhe, A.1
  • 32
    • 0028029553 scopus 로고
    • Neural networks and chaos
    • W. J. Freeman, "Neural networks and chaos," J. Theor. Biol. 171, 13-18 (1994).
    • (1994) J. Theor. Biol. , vol.171 , pp. 13-18
    • Freeman, W.J.1
  • 33
    • 36449001626 scopus 로고
    • Dynamical disease: Identification, temporal aspects and treatment strategies of human illness
    • J. Belair et al., "Dynamical disease: identification, temporal aspects and treatment strategies of human illness," Chaos 5, 1 (1995).
    • (1995) Chaos , vol.5 , pp. 1
    • Belair, J.1
  • 34
    • 0022323893 scopus 로고
    • Spatial EEG patterns, nonlinear dynamics and perception: The Neo-Sherrington view
    • W. J. Freeman and C. A. Skarda, "Spatial EEG patterns, nonlinear dynamics and perception: The Neo-Sherrington view," Brain Res. Rev. 10, 147-175 (1985).
    • (1985) Brain Res. Rev. , vol.10 , pp. 147-175
    • Freeman, W.J.1    Skarda, C.A.2
  • 35
    • 0001917403 scopus 로고
    • Self-organizing dynamics of the human brain: Critical instabilities and Sil'nikov chaos
    • S. J. A. Kelso and A. Fuchs, "Self-organizing dynamics of the human brain: critical instabilities and Sil'nikov chaos," Chaos 5, 64 (1995).
    • (1995) Chaos , vol.5 , pp. 64
    • Kelso, S.J.A.1    Fuchs, A.2
  • 36
    • 0022586049 scopus 로고
    • Extracellular calcium and potassium concentration changes in chronic epileptic brain tissue
    • edited by A. V. Delgado-Escueta et al. Raven Ps, New York
    • U. Heinemann et al., "Extracellular calcium and potassium concentration changes in chronic epileptic brain tissue," in Basic Mechanisms of the Epilepsies: Molecular and Cellular Approaches, edited by A. V. Delgado-Escueta et al. (Raven Ps, New York, 1986), pp. 641-661.
    • (1986) Basic Mechanisms of the Epilepsies: Molecular and Cellular Approaches , pp. 641-661
    • Heinemann, U.1
  • 38
    • 0022585148 scopus 로고
    • Ionic changes and alteration in the size of the extracellular space during epileptic activity
    • edited by A. V. Delgado-Escueta et al. Raven Ps, New York
    • H. D. Lux, U. Heinemann, and I. Dietzel, "Ionic changes and alteration in the size of the extracellular space during epileptic activity," in Basic Mechanisms of the Epilepsies: Molecular and Cellular Approaches, edited by A. V. Delgado-Escueta et al. (Raven Ps, New York, 1986), pp. 619-639.
    • (1986) Basic Mechanisms of the Epilepsies: Molecular and Cellular Approaches , pp. 619-639
    • Lux, H.D.1    Heinemann, U.2    Dietzel, I.3
  • 40
    • 0009264824 scopus 로고    scopus 로고
    • abstract
    • W. E. Crill, abstract, 1996.
    • (1996)
    • Crill, W.E.1
  • 41
    • 0028871387 scopus 로고
    • Amplification of synaptic current by persistent sodium conductance in apical dendrite of neocortical neurons
    • P. C. Schwindt and W. E. Crill, "Amplification of synaptic current by persistent sodium conductance in apical dendrite of neocortical neurons," J. Neurophysiol. 74, 2220-2224 (1995).
    • (1995) J. Neurophysiol. , vol.74 , pp. 2220-2224
    • Schwindt, P.C.1    Crill, W.E.2
  • 42
    • 0024351780 scopus 로고
    • Epileptiform discharges evoked in hippocampal brain slices from epileptic patients
    • L. M. Masukawa et al., "Epileptiform discharges evoked in hippocampal brain slices from epileptic patients," Brain Res. 493, 168-174 (1989).
    • (1989) Brain Res. , vol.493 , pp. 168-174
    • Masukawa, L.M.1
  • 43
    • 0021224368 scopus 로고
    • Synchronized after discharges in the hippocampus: Contribution of local synaptic interaction
    • R. Miles, R. K. S. Wong, and R. D. Traub, "Synchronized after discharges in the hippocampus: contribution of local synaptic interaction," Neuroscience 12, 1179-1189 (1984).
    • (1984) Neuroscience , vol.12 , pp. 1179-1189
    • Miles, R.1    Wong, R.K.S.2    Traub, R.D.3
  • 44
    • 0017883240 scopus 로고
    • Cellular and field potential properties of epileptogenic hippocampal slices
    • P. A. Schwartzkroin and D. A. Prince, "Cellular and field potential properties of epileptogenic hippocampal slices," Brain Res. 147, 117-130 (1978).
    • (1978) Brain Res. , vol.147 , pp. 117-130
    • Schwartzkroin, P.A.1    Prince, D.A.2
  • 45
    • 0027394406 scopus 로고
    • Synaptic and intrinsic conductances shape picrotoxin-induced synchronized after-discharges in the guinea-pig hippocampal slice
    • R. D. Traub, R. Miles, and J. G. R. Jeffreys, "Synaptic and intrinsic conductances shape picrotoxin-induced synchronized after-discharges in the guinea-pig hippocampal slice," J. Physiol. (London) 461, 525-547 (1993).
    • (1993) J. Physiol. (London) , vol.461 , pp. 525-547
    • Traub, R.D.1    Miles, R.2    Jeffreys, J.G.R.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.