메뉴 건너뛰기




Volumn 95, Issue 3, 2008, Pages 1126-1137

Diffusive coupling and network periodicity: A computational study

Author keywords

[No Author keywords available]

Indexed keywords

POTASSIUM;

EID: 51049093825     PISSN: 00063495     EISSN: 15420086     Source Type: Journal    
DOI: 10.1529/biophysj.108.129239     Document Type: Article
Times cited : (20)

References (50)
  • 1
    • 24344483542 scopus 로고    scopus 로고
    • A model of the effects of applied electric fields on neuronal synchronization
    • Park, E. H., E. Barreto, B. J. Gluckman, S. J. Schiff, and P. So. 2005. A model of the effects of applied electric fields on neuronal synchronization. J. Comput. Neurosci. 19:53-70.
    • (2005) J. Comput. Neurosci , vol.19 , pp. 53-70
    • Park, E.H.1    Barreto, E.2    Gluckman, B.J.3    Schiff, S.J.4    So, P.5
  • 2
    • 85031354487 scopus 로고    scopus 로고
    • Pikovsky, A. S., M. G. Rosenblum, and J. Kurths. 2001. Synchronization. A Universal Concept in Nonlinear Sciences. Cambridge University Press, Springer, Berlin.
    • Pikovsky, A. S., M. G. Rosenblum, and J. Kurths. 2001. Synchronization. A Universal Concept in Nonlinear Sciences. Cambridge University Press, Springer, Berlin.
  • 3
    • 0001118680 scopus 로고
    • Variety and generality of clustering in globally coupled oscillators
    • Okuda, K. 1993. Variety and generality of clustering in globally coupled oscillators. Physica D. 63:424-436.
    • (1993) Physica D , vol.63 , pp. 424-436
    • Okuda, K.1
  • 4
    • 0021835107 scopus 로고
    • On the stability of coupled chemical oscillators
    • Bar-Eli, K. 1985. On the stability of coupled chemical oscillators. Physica D. 14:242-252.
    • (1985) Physica D , vol.14 , pp. 242-252
    • Bar-Eli, K.1
  • 5
    • 0035334602 scopus 로고    scopus 로고
    • Phase clustering and transition to phase synchronization in a large number of coupled nonlinear oscillators
    • Liu, Z., Y. C. Lai, and F. C. Hoppensteadt. 2001. Phase clustering and transition to phase synchronization in a large number of coupled nonlinear oscillators. Phys. Rev. E Stat. Nonlin. Soft Matter Phys. 63:055201.
    • (2001) Phys. Rev. E Stat. Nonlin. Soft Matter Phys , vol.63 , pp. 055201
    • Liu, Z.1    Lai, Y.C.2    Hoppensteadt, F.C.3
  • 6
    • 37649029744 scopus 로고    scopus 로고
    • Frequency entrainment in long chains of oscillators with random natural frequencies in the weak coupling limit
    • Ostborn, P. 2004. Frequency entrainment in long chains of oscillators with random natural frequencies in the weak coupling limit. Phys. Rev. E Stat. Nonlin. Soft Matter Phys. 70:016120.
    • (2004) Phys. Rev. E Stat. Nonlin. Soft Matter Phys , vol.70 , pp. 016120
    • Ostborn, P.1
  • 7
    • 4644230816 scopus 로고    scopus 로고
    • Phase transitions towards frequency entrainment in large oscillator lattices
    • Ostborn, P., S. Aberg, and G. Ohlen. 2003. Phase transitions towards frequency entrainment in large oscillator lattices. Phys. Rev. E Stat. Nonlin. Soft Matter Phys. 68:015104.
    • (2003) Phys. Rev. E Stat. Nonlin. Soft Matter Phys , vol.68 , pp. 015104
    • Ostborn, P.1    Aberg, S.2    Ohlen, G.3
  • 8
    • 0036340313 scopus 로고    scopus 로고
    • Synchronization in small-world dynamical networks
    • Wang, X. F., and G. Chen. 2002. Synchronization in small-world dynamical networks. Int. J. Bifurcat. Chaos. 12:187-192.
    • (2002) Int. J. Bifurcat. Chaos , vol.12 , pp. 187-192
    • Wang, X.F.1    Chen, G.2
  • 9
    • 0033196391 scopus 로고    scopus 로고
    • A coupled ordinary differential equation lattice model for the simulation of epileptic seizures
    • Larter, R., B. Speelman, and R. M. Worth. 1999. A coupled ordinary differential equation lattice model for the simulation of epileptic seizures. Chaos. 9:795-804.
    • (1999) Chaos , vol.9 , pp. 795-804
    • Larter, R.1    Speelman, B.2    Worth, R.M.3
  • 11
    • 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) Biophys. J , vol.65 , pp. 597-607
    • Stokes, C.L.1    Rinzel, J.2
  • 13
    • 28844506120 scopus 로고    scopus 로고
    • Collective synchronization in spatially extended systems of coupled oscillators with random frequencies
    • Hong, H., H. Park, and M. Y. Choi. 2005. Collective synchronization in spatially extended systems of coupled oscillators with random frequencies. Phys. Rev. E Stat. Nonlin. Soft Matter Phys. 72:036217.
    • (2005) Phys. Rev. E Stat. Nonlin. Soft Matter Phys , vol.72 , pp. 036217
    • Hong, H.1    Park, H.2    Choi, M.Y.3
  • 14
    • 0004095143 scopus 로고
    • Kapral, R, and K. Showalter, editors, Kluwer, Dordrecht
    • Kapral, R., and K. Showalter, editors. 1995. Chemical Waves and Patterns. Kluwer, Dordrecht.
    • (1995) Chemical Waves and Patterns
  • 16
    • 85031356365 scopus 로고    scopus 로고
    • De Monte, S. 2004. Collective Dynamics in Populations with Microscopic Variability. Department of Physics, The Technical University of Denmark, Lyngby.
    • De Monte, S. 2004. Collective Dynamics in Populations with Microscopic Variability. Department of Physics, The Technical University of Denmark, Lyngby.
  • 17
    • 0035889998 scopus 로고    scopus 로고
    • Propagation of nonsynaptic epileptiform activity across a lesion in rat hippocampal slices
    • Lian, J., M. Bikson, J. Shuai, and D. M. Durand. 2001. Propagation of nonsynaptic epileptiform activity across a lesion in rat hippocampal slices. J. Physiol. 537:191-199.
    • (2001) J. Physiol , vol.537 , pp. 191-199
    • Lian, J.1    Bikson, M.2    Shuai, J.3    Durand, D.M.4
  • 18
    • 30544452695 scopus 로고    scopus 로고
    • Role of potassium lateral diffusion in nonsynaptic epilepsy: A computational study
    • Park, E. H., and D. M. Durand. 2006. Role of potassium lateral diffusion in nonsynaptic epilepsy: A computational study. J. Theor. Biol. 238:666-682.
    • (2006) J. Theor. Biol , vol.238 , pp. 666-682
    • Park, E.H.1    Durand, D.M.2
  • 19
    • 33645530200 scopus 로고    scopus 로고
    • Effects of potassium concentration on firing patterns of low-calcium epileptiform activity in anesthetized rat hippocampus: Inducing of persistent spike activity
    • Feng, Z., and D. M. Durand. 2006. Effects of potassium concentration on firing patterns of low-calcium epileptiform activity in anesthetized rat hippocampus: inducing of persistent spike activity. Epilepsia. 47:727-736.
    • (2006) Epilepsia , vol.47 , pp. 727-736
    • Feng, Z.1    Durand, D.M.2
  • 20
    • 0032620216 scopus 로고    scopus 로고
    • Basic mechanisms of status epilepticus
    • Coulter, D. A., and R. J. DeLorenzo. 1999. Basic mechanisms of status epilepticus. Adv. Neurol. 79:725-733.
    • (1999) Adv. Neurol , vol.79 , pp. 725-733
    • Coulter, D.A.1    DeLorenzo, R.J.2
  • 21
    • 0037340767 scopus 로고    scopus 로고
    • Ionic mechanisms underlying spontaneous CA1 neuronal firing in Ca2+-free solution
    • Shuai, J., M. Bikson, P. J. Hahn, J. Lian, and D. M. Durand. 2003. Ionic mechanisms underlying spontaneous CA1 neuronal firing in Ca2+-free solution. Biophys. J. 84:2099-2111.
    • (2003) Biophys. J , vol.84 , pp. 2099-2111
    • Shuai, J.1    Bikson, M.2    Hahn, P.J.3    Lian, J.4    Durand, D.M.5
  • 22
    • 0033913415 scopus 로고    scopus 로고
    • Simulated seizures and spreading depression in a neuron model incorporating interstitial space and ion concentrations
    • Kager, H., W. J. Wadman, and G. G. Somjen. 2000. Simulated seizures and spreading depression in a neuron model incorporating interstitial space and ion concentrations. J. Neurophysiol. 84:495-512.
    • (2000) J. Neurophysiol , vol.84 , pp. 495-512
    • Kager, H.1    Wadman, W.J.2    Somjen, G.G.3
  • 23
    • 0023176440 scopus 로고
    • The role of interstitial potassium in the generation of low-calcium hippocampal seizures
    • Nelken, I., and Y. Yaari. 1987. The role of interstitial potassium in the generation of low-calcium hippocampal seizures. Isr. J. Med. Sci. 23:124-131.
    • (1987) Isr. J. Med. Sci , vol.23 , pp. 124-131
    • Nelken, I.1    Yaari, Y.2
  • 24
    • 0021829073 scopus 로고
    • Sustained potential shifts and paroxysmal discharges in hippocampal formation
    • Somjen, G. G., P. G. Aitken, J. L. Giacchino, and J. O. McNamara. 1985. Sustained potential shifts and paroxysmal discharges in hippocampal formation. J. Neurophysiol. 53:1079-1097.
    • (1985) J. Neurophysiol , vol.53 , pp. 1079-1097
    • Somjen, G.G.1    Aitken, P.G.2    Giacchino, J.L.3    McNamara, J.O.4
  • 25
    • 0021799467 scopus 로고
    • Potassium and calcium concentrations in interstitial fluid of hippocampal formation during paroxysmal responses
    • Somjen, G. G., and J. L. Giacchino. 1985. Potassium and calcium concentrations in interstitial fluid of hippocampal formation during paroxysmal responses. J. Neurophysiol. 53:1098-1108.
    • (1985) J. Neurophysiol , vol.53 , pp. 1098-1108
    • Somjen, G.G.1    Giacchino, J.L.2
  • 26
    • 0018186904 scopus 로고
    • A mathematical model for spreading cortical depression
    • Tuckwell, H. C., and R. M. Miura. 1978. A mathematical model for spreading cortical depression. Biophys. J. 23:257-276.
    • (1978) Biophys. J , vol.23 , pp. 257-276
    • Tuckwell, H.C.1    Miura, R.M.2
  • 27
    • 0028196573 scopus 로고
    • Na,K-ATPase is decreased in hippocampus of kainate-lesioned rats
    • Anderson, W. R., J. E. Franck, W. L. Stahl, and A. A. Maki. 1994. Na,K-ATPase is decreased in hippocampus of kainate-lesioned rats. Epilepsy Res. 17:221-231.
    • (1994) Epilepsy Res , vol.17 , pp. 221-231
    • Anderson, W.R.1    Franck, J.E.2    Stahl, W.L.3    Maki, A.A.4
  • 28
    • 0032489007 scopus 로고    scopus 로고
    • Effects of barium on stimulus induced changes in extracellular potassium concentration in area CA1 of hippocampal slices from normal and pilocarpine-treated epileptic rats
    • Gabriel, S., A. Eilers, A. Kivi, R. Kovacs, K. Schulze, T. N. Lehmann, and U. Heinemann. 1998. Effects of barium on stimulus induced changes in extracellular potassium concentration in area CA1 of hippocampal slices from normal and pilocarpine-treated epileptic rats. Neurosci. Lett. 242:9-12.
    • (1998) Neurosci. Lett , vol.242 , pp. 9-12
    • Gabriel, S.1    Eilers, A.2    Kivi, A.3    Kovacs, R.4    Schulze, K.5    Lehmann, T.N.6    Heinemann, U.7
  • 30
    • 3142738725 scopus 로고    scopus 로고
    • Potassium model for slow (2-3 Hz) in vivo neocortical paroxysmal oscillations
    • Bazhenov, M., I. Timofeev, M. Steriade, and T. J. Sejnowski. 2004. Potassium model for slow (2-3 Hz) in vivo neocortical paroxysmal oscillations. J. Neurophysiol. 92:1116-1132.
    • (2004) J. Neurophysiol , vol.92 , pp. 1116-1132
    • Bazhenov, M.1    Timofeev, I.2    Steriade, M.3    Sejnowski, T.J.4
  • 31
    • 77956750512 scopus 로고    scopus 로고
    • Phase synchronization: From theory to data analysis
    • F. G. Moss, editor. Elsevier Science, New York
    • Rosenblum, M. G., A. S. Pikovsky, J. Kurths, C. Schäfer, and P. Tass. 2001. Phase synchronization: from theory to data analysis. In Hand-book of Biological Physics, Vol. 4. F. G. Moss, editor. Elsevier Science, New York. 279-321.
    • (2001) Hand-book of Biological Physics , vol.4 , pp. 279-321
    • Rosenblum, M.G.1    Pikovsky, A.S.2    Kurths, J.3    Schäfer, C.4    Tass, P.5
  • 38
    • 3042689600 scopus 로고    scopus 로고
    • Epileptogenicity and epileptic activity: Mechanisms in an invertebrate model nervous system
    • Altrup, U. 2004. Epileptogenicity and epileptic activity: mechanisms in an invertebrate model nervous system. Curr. Drug Targets. 5:473-484.
    • (2004) Curr. Drug Targets , vol.5 , pp. 473-484
    • Altrup, U.1
  • 39
    • 33645783904 scopus 로고    scopus 로고
    • Intercellular waves propagation in an array of cells coupled through paracrine signaling: A computer simulation study
    • Kepseu, W. D., and P. Woafo. 2006. Intercellular waves propagation in an array of cells coupled through paracrine signaling: a computer simulation study. Phys. Rev.E Stat. Nonlin. Soft Matter Phys. 73:041912.
    • (2006) Phys. Rev.E Stat. Nonlin. Soft Matter Phys , vol.73 , pp. 041912
    • Kepseu, W.D.1    Woafo, P.2
  • 40
    • 0026077959 scopus 로고
    • Glutamate, nitric oxide and cell-cell signaling in the nervous system
    • Garthwaite, J. 1991. Glutamate, nitric oxide and cell-cell signaling in the nervous system. Trends Neurosci. 14:60-67.
    • (1991) Trends Neurosci , vol.14 , pp. 60-67
    • Garthwaite, J.1
  • 42
    • 0028866994 scopus 로고
    • Nonsynaptic modulation of neuronal activity in the brain: Electric currents and extracellular ions
    • Jefferys, J. G. 1995. Nonsynaptic modulation of neuronal activity in the brain: electric currents and extracellular ions. Physiol. Rev. 75:689-723.
    • (1995) Physiol. Rev , vol.75 , pp. 689-723
    • Jefferys, J.G.1
  • 43
    • 0020407129 scopus 로고
    • Synchronized bursting of CA1 hippocampal pyramidal cells in the absence of synaptic transmission
    • Jefferys, J. G., and H. L. Haas. 1982. Synchronized bursting of CA1 hippocampal pyramidal cells in the absence of synaptic transmission. Nature. 300:448-450.
    • (1982) Nature , vol.300 , pp. 448-450
    • Jefferys, J.G.1    Haas, H.L.2
  • 44
    • 0020450908 scopus 로고
    • Synchronous neural afterdischarges in rat hippocampal slices without active chemical synapses
    • Taylor, C. P., and F. E. Dudek. 1982. Synchronous neural afterdischarges in rat hippocampal slices without active chemical synapses. Science. 218:810-812.
    • (1982) Science , vol.218 , pp. 810-812
    • Taylor, C.P.1    Dudek, F.E.2
  • 45
    • 0020554789 scopus 로고
    • Spontaneous epileptiform activity of CA1 hippocampal neurons in low extracellular calcium solutions
    • Yaari, Y., A. Konnerth, and U. Heinemann. 1983. Spontaneous epileptiform activity of CA1 hippocampal neurons in low extracellular calcium solutions. Exp. Brain Res. 51:153-156.
    • (1983) Exp. Brain Res , vol.51 , pp. 153-156
    • Yaari, Y.1    Konnerth, A.2    Heinemann, U.3
  • 46
    • 0035974896 scopus 로고    scopus 로고
    • Glomerulus-specific synchronization of mitral cells in the olfactory bulb
    • Schoppa, N. E., and G. L. Westbrook. 2001. Glomerulus-specific synchronization of mitral cells in the olfactory bulb. Neuron. 31:639-651.
    • (2001) Neuron , vol.31 , pp. 639-651
    • Schoppa, N.E.1    Westbrook, G.L.2
  • 47
    • 0002635898 scopus 로고    scopus 로고
    • Multiple channels and calcium dynamics
    • C. Koch, Segev, I, editors. MIT Press, Cambridge
    • Yamada, K. A. 1998. Multiple channels and calcium dynamics. In Methods in Neuronal Modeling: From Ions to Networks. C. Koch, Segev, I., editors. MIT Press, Cambridge. 153-154.
    • (1998) Methods in Neuronal Modeling: From Ions to Networks , pp. 153-154
    • Yamada, K.A.1
  • 48
    • 0021109509 scopus 로고
    • Simulation of potassium accumulation in clefts of Purkinje fibers: Effect on membrane electrical activity
    • Coulombe, A., and E. Coraboeuf. 1983. Simulation of potassium accumulation in clefts of Purkinje fibers: effect on membrane electrical activity. J. Theor. Biol. 104:211-229.
    • (1983) J. Theor. Biol , vol.104 , pp. 211-229
    • Coulombe, A.1    Coraboeuf, E.2
  • 49
    • 0027409231 scopus 로고
    • + current in pyramidal neurons from rat and cat sensorimotor cortex
    • + current in pyramidal neurons from rat and cat sensorimotor cortex. J. Neurosci. 13:660-673.
    • (1993) J. Neurosci , vol.13 , pp. 660-673
    • Alzheimer, C.1    Schwindt, P.C.2    Crill, W.E.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.