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Volumn 6, Issue 11, 2011, Pages

Reduction theories elucidate the origins of complex biological rhythms generated by interacting delay-induced oscillations

Author keywords

[No Author keywords available]

Indexed keywords

ANALYTIC METHOD; ARTICLE; ARTIFICIAL NEURAL NETWORK; BIOLOGICAL RHYTHM; CONTROLLED STUDY; CORTICAL SYNCHRONIZATION; ELECTROENCEPHALOGRAM; LINEAR SYSTEM; MATHEMATICAL MODEL; MOLECULAR DYNAMICS; MOLECULAR INTERACTION; OSCILLATION; PROCESS DEVELOPMENT; PROCESS MODEL; RESPONSE TIME; SEIZURE; VALIDATION PROCESS; ANIMAL; BIOLOGICAL MODEL; ELECTROENCEPHALOGRAPHY; EPILEPSY; HUMAN; NONLINEAR SYSTEM; THEORETICAL MODEL;

EID: 80455127000     PISSN: None     EISSN: 19326203     Source Type: Journal    
DOI: 10.1371/journal.pone.0026497     Document Type: Article
Times cited : (24)

References (55)
  • 1
    • 84867969858 scopus 로고    scopus 로고
    • Stability and bifurcation analysis of a nonlinear dde model for drilling
    • Stone E, Campbell S, (2004) Stability and bifurcation analysis of a nonlinear dde model for drilling. Journal of Nonlinear Science 14: 27-57.
    • (2004) Journal of Nonlinear Science , vol.14 , pp. 27-57
    • Stone, E.1    Campbell, S.2
  • 2
    • 33846379924 scopus 로고    scopus 로고
    • Dual synchronization of chaos in mackey-glass electronic circuits with time-delayed feedback
    • Sano S, Uchida A, Yoshimori S, Roy R, (2007) Dual synchronization of chaos in mackey-glass electronic circuits with time-delayed feedback. Physical Review E 75: 016207.
    • (2007) Physical Review E , vol.75 , pp. 016207
    • Sano, S.1    Uchida, A.2    Yoshimori, S.3    Roy, R.4
  • 4
    • 0017714604 scopus 로고
    • Oscillation and chaos in physiological control systems
    • Mackey M, Glass L, (1977) Oscillation and chaos in physiological control systems. Science 197: 287-289.
    • (1977) Science , vol.197 , pp. 287-289
    • Mackey, M.1    Glass, L.2
  • 5
    • 33745000977 scopus 로고    scopus 로고
    • Noise-resistant and synchronized oscillation of the segmentation clock
    • Horikawa K, Ishimatsu K, Yoshimoto E, Kondo S, Takeda H, (2006) Noise-resistant and synchronized oscillation of the segmentation clock. Nature 441: 719-723.
    • (2006) Nature , vol.441 , pp. 719-723
    • Horikawa, K.1    Ishimatsu, K.2    Yoshimoto, E.3    Kondo, S.4    Takeda, H.5
  • 6
    • 0041677612 scopus 로고    scopus 로고
    • Autoinhibition with transcriptional delay: A simple mechanism for the zebrafish somitogenesis oscillator
    • Lewis J, (2003) Autoinhibition with transcriptional delay: A simple mechanism for the zebrafish somitogenesis oscillator. Current Biology 13: 1398-1408.
    • (2003) Current Biology , vol.13 , pp. 1398-1408
    • Lewis, J.1
  • 7
    • 69249215528 scopus 로고    scopus 로고
    • The cyclic gene hes1 contributes to diverse differentiation responses of embryonic stem cells
    • Kobayashi T, Mizuno H, Imayoshi I, Furusawa C, Shirahige K, et al. (2009) The cyclic gene hes1 contributes to diverse differentiation responses of embryonic stem cells. Genes & Development 23: 1870-1875.
    • (2009) Genes & Development , vol.23 , pp. 1870-1875
    • Kobayashi, T.1    Mizuno, H.2    Imayoshi, I.3    Furusawa, C.4    Shirahige, K.5
  • 9
    • 78651491409 scopus 로고    scopus 로고
    • Delay in feedback repression by cryptochrome 1 is required for circadian clock function
    • Ukai-Tadenuma M, Yamada R, Xu H, Ripperger J, Liu A, et al. (2011) Delay in feedback repression by cryptochrome 1 is required for circadian clock function. Cell 144: 268-281.
    • (2011) Cell , vol.144 , pp. 268-281
    • Ukai-Tadenuma, M.1    Yamada, R.2    Xu, H.3    Ripperger, J.4    Liu, A.5
  • 10
    • 0141678045 scopus 로고    scopus 로고
    • Evidence from human scalp electroencephalograms of global chaotic itinerancy
    • Freeman W, (2003) Evidence from human scalp electroencephalograms of global chaotic itinerancy. Chaos 13: 1067-1077.
    • (2003) Chaos , vol.13 , pp. 1067-1077
    • Freeman, W.1
  • 12
    • 0000339310 scopus 로고    scopus 로고
    • Bifurcations in a nonlinear model of the baroreceptor-cardiac reflex
    • Seidel H, Herzel H, (1998) Bifurcations in a nonlinear model of the baroreceptor-cardiac reflex. Physica D: Nonlinear Phenomena 115: 145-160.
    • (1998) Physica D: Nonlinear Phenomena , vol.115 , pp. 145-160
    • Seidel, H.1    Herzel, H.2
  • 13
    • 0034233547 scopus 로고    scopus 로고
    • Transient phase locking patterns among respiration, heart rate and blood pressure during cardiorespiratory synchronization in humans
    • Censi F, Calcagnini G, Lino S, Seydnejad S, Kitney R, et al. (2000) Transient phase locking patterns among respiration, heart rate and blood pressure during cardiorespiratory synchronization in humans. Medical and Biological Engineering and Computing 38: 416-426.
    • (2000) Medical and Biological Engineering and Computing , vol.38 , pp. 416-426
    • Censi, F.1    Calcagnini, G.2    Lino, S.3    Seydnejad, S.4    Kitney, R.5
  • 14
    • 12344281204 scopus 로고    scopus 로고
    • Spatial and temporal structure of phase synchronization of spontaneous alpha eeg activity
    • Ito J, Nikolaev A, Leeuwen C, (2005) Spatial and temporal structure of phase synchronization of spontaneous alpha eeg activity. Biological Cybernetics 92: 54-60.
    • (2005) Biological Cybernetics , vol.92 , pp. 54-60
    • Ito, J.1    Nikolaev, A.2    Leeuwen, C.3
  • 15
    • 0031022266 scopus 로고    scopus 로고
    • Visuomotor integration is associated with zero time-lag synchronization among cortical areas
    • Roelfsema P, Engel A, Konig P, Singer W, (1997) Visuomotor integration is associated with zero time-lag synchronization among cortical areas. Nature 385: 157-161.
    • (1997) Nature , vol.385 , pp. 157-161
    • Roelfsema, P.1    Engel, A.2    Konig, P.3    Singer, W.4
  • 16
    • 0035137809 scopus 로고    scopus 로고
    • Traveling electrical waves in cortex: Insights from phase dynamics and speculation on a computational role
    • Ermentrout G, Kleinfeld D, (2001) Traveling electrical waves in cortex: Insights from phase dynamics and speculation on a computational role. Neuron 29: 33-44.
    • (2001) Neuron , vol.29 , pp. 33-44
    • Ermentrout, G.1    Kleinfeld, D.2
  • 17
    • 33645728533 scopus 로고    scopus 로고
    • Eeg synchronisation during sleep-related epileptic seizures as a new tool to discriminate confusional arousals from paroxysmal arousals: preliminary findings
    • Zucconi M, Manconi M, Bizzozero D, Rundo F, Stam C, et al. (2005) Eeg synchronisation during sleep-related epileptic seizures as a new tool to discriminate confusional arousals from paroxysmal arousals: preliminary findings. Neurological Sciences 26: s199-s204.
    • (2005) Neurological Sciences , vol.26
    • Zucconi, M.1    Manconi, M.2    Bizzozero, D.3    Rundo, F.4    Stam, C.5
  • 19
    • 3042842911 scopus 로고    scopus 로고
    • Instability of hes7 protein is crucial for the somite segmentation clock
    • Hirata H, Bessho Y, Kokubu H, Masamizu Y, Yamada S, et al. (2004) Instability of hes7 protein is crucial for the somite segmentation clock. Nature Genetics 36: 750-754.
    • (2004) Nature Genetics , vol.36 , pp. 750-754
    • Hirata, H.1    Bessho, Y.2    Kokubu, H.3    Masamizu, Y.4    Yamada, S.5
  • 23
    • 0000752411 scopus 로고    scopus 로고
    • Phase models with explicit time delays
    • Izhikevich E, (1998) Phase models with explicit time delays. Physical Review E 58: 905-908.
    • (1998) Physical Review E , vol.58 , pp. 905-908
    • Izhikevich, E.1
  • 24
    • 62749189854 scopus 로고    scopus 로고
    • Dynamics of epileptic seizures: Evolution, spreading, and suppression
    • Kim J, Roberts J, Robinson P, (2009) Dynamics of epileptic seizures: Evolution, spreading, and suppression. Journal of Theoretical Biology 257: 527-532.
    • (2009) Journal of Theoretical Biology , vol.257 , pp. 527-532
    • Kim, J.1    Roberts, J.2    Robinson, P.3
  • 25
    • 33947159569 scopus 로고    scopus 로고
    • Compact dynamical model of brain activity
    • Kim J, Robinson P, (2007) Compact dynamical model of brain activity. Physical Review E 75: 031907.
    • (2007) Physical Review E , vol.75 , pp. 031907
    • Kim, J.1    Robinson, P.2
  • 26
    • 0342936163 scopus 로고    scopus 로고
    • Stability, bifurcation, and multistability in a system of two coupled neurons with multiple time delays
    • Shayer L, Campbell S, (2000) Stability, bifurcation, and multistability in a system of two coupled neurons with multiple time delays. SIAM Journal on Applied Mathematics 61: 673-700.
    • (2000) SIAM Journal on Applied Mathematics , vol.61 , pp. 673-700
    • Shayer, L.1    Campbell, S.2
  • 27
    • 32844462800 scopus 로고    scopus 로고
    • Multistability and stable asynchronous periodic oscillations in a multiple-delayed neural system
    • Campbell S, Ncube I, Wu J, (2006) Multistability and stable asynchronous periodic oscillations in a multiple-delayed neural system. Physica D: Nonlinear Phenomena 214: 101-119.
    • (2006) Physica D: Nonlinear Phenomena , vol.214 , pp. 101-119
    • Campbell, S.1    Ncube, I.2    Wu, J.3
  • 28
    • 26944444656 scopus 로고    scopus 로고
    • Equivariant hopf bifurcation in a ring of identical cells with delayed coupling
    • Campbell S, Yuan Y, Bungay S, (2005) Equivariant hopf bifurcation in a ring of identical cells with delayed coupling. Nonlinearity 18: 2827-2846.
    • (2005) Nonlinearity , vol.18 , pp. 2827-2846
    • Campbell, S.1    Yuan, Y.2    Bungay, S.3
  • 29
    • 12244313650 scopus 로고    scopus 로고
    • Change in criticality of synchronous hopf bifurcation in a multiple-delayed neural system
    • Ncube I, Campbell S, Wu J, (2002) Change in criticality of synchronous hopf bifurcation in a multiple-delayed neural system. Fields Institute Communications 36: 179-193.
    • (2002) Fields Institute Communications , vol.36 , pp. 179-193
    • Ncube, I.1    Campbell, S.2    Wu, J.3
  • 30
    • 0027445242 scopus 로고
    • Thalamocortical oscillations in the sleeping and aroused brain
    • Steriade M, McCormick D, Sejnowski T, (1993) Thalamocortical oscillations in the sleeping and aroused brain. Science 262: 679-685.
    • (1993) Science , vol.262 , pp. 679-685
    • Steriade, M.1    McCormick, D.2    Sejnowski, T.3
  • 31
    • 34250862190 scopus 로고    scopus 로고
    • Thalamic synchrony and dynamic regulation of global forebrain oscillations
    • Huguenard J, McCormick D, (2007) Thalamic synchrony and dynamic regulation of global forebrain oscillations. Trends in Neurosciences 30: 350-356.
    • (2007) Trends in Neurosciences , vol.30 , pp. 350-356
    • Huguenard, J.1    McCormick, D.2
  • 33
    • 85035247673 scopus 로고    scopus 로고
    • Dynamics of large-scale brain activity in normal arousal states and epileptic seizures
    • Robinson P, Rennie C, Rowe D, (2002) Dynamics of large-scale brain activity in normal arousal states and epileptic seizures. Physical Review E 65: 041924.
    • (2002) Physical Review E , vol.65 , pp. 041924
    • Robinson, P.1    Rennie, C.2    Rowe, D.3
  • 34
    • 4444303207 scopus 로고    scopus 로고
    • Estimation of multiscale neurophysiologic parameters by electroencephalographic means
    • Robinson P, Rennie C, Rowe D, O'Connor S, (2004) Estimation of multiscale neurophysiologic parameters by electroencephalographic means. Human Brain Mapping 23: 53-72.
    • (2004) Human Brain Mapping , vol.23 , pp. 53-72
    • Robinson, P.1    Rennie, C.2    Rowe, D.3    O'Connor, S.4
  • 38
    • 65449145228 scopus 로고    scopus 로고
    • Diffusion-induced instability and chaos in random oscillator networks
    • Nakao H, Mikhailov A, (2009) Diffusion-induced instability and chaos in random oscillator networks. Physical Review E 79: 036214.
    • (2009) Physical Review E , vol.79 , pp. 036214
    • Nakao, H.1    Mikhailov, A.2
  • 39
    • 4444289719 scopus 로고    scopus 로고
    • Model based conjectures on mammalian clock controversies
    • Forger D, Peskin C, (2004) Model based conjectures on mammalian clock controversies. Journal of Theoretical Biology 230: 533-539.
    • (2004) Journal of Theoretical Biology , vol.230 , pp. 533-539
    • Forger, D.1    Peskin, C.2
  • 40
    • 0036594918 scopus 로고    scopus 로고
    • Meg responses during rhythmic finger tapping in humans to phasic stimulation and their interpretation based on neural mechanisms
    • Yoshino K, Takagi K, Nomura T, Sato S, Tonoike M, (2002) Meg responses during rhythmic finger tapping in humans to phasic stimulation and their interpretation based on neural mechanisms. Biological Cybernetics 86: 483-496.
    • (2002) Biological Cybernetics , vol.86 , pp. 483-496
    • Yoshino, K.1    Takagi, K.2    Nomura, T.3    Sato, S.4    Tonoike, M.5
  • 42
    • 0002045101 scopus 로고
    • Theory of self-synchronization in the presence of native frequency distribution and external noises
    • Yamaguchi Y, Shimizu H, (1984) Theory of self-synchronization in the presence of native frequency distribution and external noises. Physica D: Nonlinear Phenomena 11: 212-226.
    • (1984) Physica D: Nonlinear Phenomena , vol.11 , pp. 212-226
    • Yamaguchi, Y.1    Shimizu, H.2
  • 45
    • 4444345315 scopus 로고    scopus 로고
    • A two variable delay model for the circadian rhythm of neurospora crassa
    • Sriram K, Gopinathan M, (2004) A two variable delay model for the circadian rhythm of neurospora crassa. Journal of Theoretical Biology 231: 23-38.
    • (2004) Journal of Theoretical Biology , vol.231 , pp. 23-38
    • Sriram, K.1    Gopinathan, M.2
  • 50
    • 0033539518 scopus 로고    scopus 로고
    • Continuous and lurching traveling pulses in neuronal networks with delay and spatially decaying connectivity
    • Golomb D, Ermentrout G, (1999) Continuous and lurching traveling pulses in neuronal networks with delay and spatially decaying connectivity. Proceedings of the National Academy of Sciences 96: 13480-13485.
    • (1999) Proceedings of the National Academy of Sciences , vol.96 , pp. 13480-13485
    • Golomb, D.1    Ermentrout, G.2
  • 51
    • 7444259575 scopus 로고    scopus 로고
    • Chemical and electrical synapses perform complementary roles in the synchronization of interneuronal networks
    • Kopell N, Ermentrout G, (2004) Chemical and electrical synapses perform complementary roles in the synchronization of interneuronal networks. Proceedings of the National Academy of Sciences 101: 15482-15487.
    • (2004) Proceedings of the National Academy of Sciences , vol.101 , pp. 15482-15487
    • Kopell, N.1    Ermentrout, G.2
  • 52
    • 79251577062 scopus 로고    scopus 로고
    • Synchronous bursts on scale-free neuronal networks with attractive and repulsive coupling
    • Wang Q, Chen G, Perc M, (2011) Synchronous bursts on scale-free neuronal networks with attractive and repulsive coupling. PLoS ONE 6: e15851.
    • (2011) PLoS ONE , vol.6
    • Wang, Q.1    Chen, G.2    Perc, M.3
  • 53
    • 79051469197 scopus 로고    scopus 로고
    • Synchronization transitions on small-world neuronal networks: Effects of information transmission delay and rewiring probability
    • Wang Q, Duan Z, Perc M, Chen G, (2008) Synchronization transitions on small-world neuronal networks: Effects of information transmission delay and rewiring probability. EPL (Europhysics Letters) 83: 50008.
    • (2008) EPL (Europhysics Letters) , vol.83 , pp. 50008
    • Wang, Q.1    Duan, Z.2    Perc, M.3    Chen, G.4
  • 54
    • 69449089341 scopus 로고    scopus 로고
    • Synchronization transitions on scale-free neuronal networks due to finite information transmission delays
    • Wang Q, Perc M, Duan Z, Chen G, (2009) Synchronization transitions on scale-free neuronal networks due to finite information transmission delays. Physical Review E 80: 026206.
    • (2009) Physical Review E , vol.80 , pp. 026206
    • Wang, Q.1    Perc, M.2    Duan, Z.3    Chen, G.4
  • 55
    • 79957852030 scopus 로고    scopus 로고
    • Gap junctions and epileptic seizures-two sides of the same coin?
    • Volman V, Perc M, Bazhenov M, (2011) Gap junctions and epileptic seizures-two sides of the same coin? PLoS ONE 6: e20572.
    • (2011) PLoS ONE , vol.6
    • Volman, V.1    Perc, M.2    Bazhenov, M.3


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