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Volumn 16, Issue 7, 2006, Pages 2013-2027

Control aspects of a theoretical model for epileptic seizures

Author keywords

Electrical stimulation; Epileptic seizures; Feedback control

Indexed keywords

BRAIN; CHAOS THEORY; FEEDBACK; MATHEMATICAL MODELS; NEUROLOGY;

EID: 33748525552     PISSN: 02181274     EISSN: None     Source Type: Journal    
DOI: 10.1142/S0218127406015866     Document Type: Article
Times cited : (33)

References (63)
  • 1
    • 0000806816 scopus 로고
    • Adaptive systems, lack of persistency of excitation and bursting phenomenon
    • Anderson, B. D. O. [1985] "Adaptive systems, lack of persistency of excitation and bursting phenomenon," Automatica.
    • (1985) Automatica
    • Anderson, B.D.O.1
  • 2
    • 0346401452 scopus 로고    scopus 로고
    • A robust method for detecting interdependencies: Application to intracranially recorded EEG
    • Arnhold, J., Grassberger, P., Lehnertz, K. & Elger, C. E. [1999] "A robust method for detecting interdependencies: Application to intracranially recorded EEG," Physica D 134, 419-430.
    • (1999) Physica D , vol.134 , pp. 419-430
    • Arnhold, J.1    Grassberger, P.2    Lehnertz, K.3    Elger, C.E.4
  • 3
    • 0024924363 scopus 로고
    • Integrator windup and how to avoid it
    • Pittsburgh
    • Astrom, K. J. & Rundqwist, L. [1989] "Integrator windup and how to avoid it," Proc. American Control Conf. (Pittsburgh), pp. 1693-1968.
    • (1989) Proc. American Control Conf. , pp. 1693-1968
    • Astrom, K.J.1    Rundqwist, L.2
  • 4
    • 0036338738 scopus 로고    scopus 로고
    • Rate of interictal events and spontaneous seizures in epileptic rats after electrical stimulation of hippocampus and its afferents
    • Bragin, A., Wilson, C. L. & Engel, J. Jr. [2002] "Rate of interictal events and spontaneous seizures in epileptic rats after electrical stimulation of hippocampus and its afferents," Epilepsia 43, 81-85.
    • (2002) Epilepsia , vol.43 , pp. 81-85
    • Bragin, A.1    Wilson, C.L.2    Engel Jr., J.3
  • 5
    • 0000290649 scopus 로고    scopus 로고
    • Highly optimized tolerance: A mechanism for power laws in designed systems
    • Carlson, J. M. & Doyle, J. [1999] "Highly optimized tolerance: A mechanism for power laws in designed systems," Phys. Rev. E 60, 1412-1427.
    • (1999) Phys. Rev. E , vol.60 , pp. 1412-1427
    • Carlson, J.M.1    Doyle, J.2
  • 8
    • 0346992326 scopus 로고    scopus 로고
    • Epilepsies as dynamical diseases of brain systems: Basic models of the transition between normal and epileptic activity
    • da Silva, F. L., Blanes, W., Kalitzin, S. N., Parra, J., Suffczynski, P. & Velis, D. N. [2003] "Epilepsies as dynamical diseases of brain systems: Basic models of the transition between normal and epileptic activity," Epilepsia 44, 72-83.
    • (2003) Epilepsia , vol.44 , pp. 72-83
    • Da Silva, F.L.1    Blanes, W.2    Kalitzin, S.N.3    Parra, J.4    Suffczynski, P.5    Velis, D.N.6
  • 9
    • 0033720015 scopus 로고    scopus 로고
    • Power laws, highly optimized tolerance, and generalized source coding
    • Doyle, J. & Carlson, J. M. [2000] "Power laws, highly optimized tolerance, and generalized source coding," Phys. Rev. Lett. 84, 5656-5659.
    • (2000) Phys. Rev. Lett. , vol.84 , pp. 5656-5659
    • Doyle, J.1    Carlson, J.M.2
  • 10
    • 0031843242 scopus 로고    scopus 로고
    • Prediction of epileptic seizures in humans from nonlinear dynamics analysis of brain electrical activity
    • Elger, C. E. & Lehnertz, K. [1998] "Prediction of epileptic seizures in humans from nonlinear dynamics analysis of brain electrical activity," Europ. J. Neurosci. 10, 786-789.
    • (1998) Europ. J. Neurosci. , vol.10 , pp. 786-789
    • Elger, C.E.1    Lehnertz, K.2
  • 12
    • 11044225764 scopus 로고    scopus 로고
    • Brain dynamical disentrainment by anti-epileptic drugs in rat and human status epilepticus
    • 1-4 Sept., San Francisco
    • Good, L. B., Sabesan, S., Iasemidis, L. D., Tsakalis, K. & Treiman, D. M. [2004] "Brain dynamical disentrainment by anti-epileptic drugs in rat and human status epilepticus," 26th IEEE EMBS Ann. Int. Conf. 1-4 Sept., San Francisco.
    • (2004) 26th IEEE EMBS Ann. Int. Conf.
    • Good, L.B.1    Sabesan, S.2    Iasemidis, L.D.3    Tsakalis, K.4    Treiman, D.M.5
  • 14
    • 0036280279 scopus 로고    scopus 로고
    • Chronic anterior thalamus stimulation of intractable epilepsy
    • Hodaie, M., Wennberg, R. A., Dostrovsky, J. O. & Lozano, A. M. [2002] "Chronic anterior thalamus stimulation of intractable epilepsy," Epilepsia 43, 603-608.
    • (2002) Epilepsia , vol.43 , pp. 603-608
    • Hodaie, M.1    Wennberg, R.A.2    Dostrovsky, J.O.3    Lozano, A.M.4
  • 17
    • 0002304828 scopus 로고
    • The temporal evolution of the largest Lyapunov exponent on the human epileptic cortex
    • eds. Duke, D. W. & Pritchard, W. S. (World Scientific, Singapore)
    • Iasemidis, L. D. & Sackellares, J. C. [1991] "The temporal evolution of the largest Lyapunov exponent on the human epileptic cortex," in Measuring Chaos in the Human Brain, eds. Duke, D. W. & Pritchard, W. S. (World Scientific, Singapore), pp. 49-82.
    • (1991) Measuring Chaos in the Human Brain , pp. 49-82
    • Iasemidis, L.D.1    Sackellares, J.C.2
  • 20
    • 85011928911 scopus 로고    scopus 로고
    • Measurement and quantification of spatiotemporal dynamics of human epileptic seizures
    • ed. Akay, M. (IEEE Press)
    • Iasemidis, L. D., Principe, J. C. & Sackellares, J. C. [2000a] "Measurement and quantification of spatiotemporal dynamics of human epileptic seizures," in Nonlinear Biomedical Signal Processing, ed. Akay, M. Vol. II (IEEE Press), pp. 294-318.
    • (2000) Nonlinear Biomedical Signal Processing , vol.2 , pp. 294-318
    • Iasemidis, L.D.1    Principe, J.C.2    Sackellares, J.C.3
  • 21
    • 0038150081 scopus 로고    scopus 로고
    • Transition to epileptic seizures - An optimization approach into its dynamics
    • eds. Du, D. Z., Pardalos, P. M. & Wang, J., DIMACS series, (American Mathematical Society Publishing Co.)
    • Iasemidis, L. D., Shiau, D. S., Pardalos, P. & Sackellares, J. C. [2000b] "Transition to epileptic seizures - An optimization approach into its dynamics," in Discrete Problems with Medical Applications, eds. Du, D. Z., Pardalos, P. M. & Wang, J., DIMACS series, Vol. 55 (American Mathematical Society Publishing Co.), pp. 55-74.
    • (2000) Discrete Problems with Medical Applications , vol.55 , pp. 55-74
    • Iasemidis, L.D.1    Shiau, D.S.2    Pardalos, P.3    Sackellares, J.C.4
  • 23
    • 0038826651 scopus 로고    scopus 로고
    • Phase entrainment and predictability of epileptic seizures
    • eds. Pardalos, P. M. & Principe, J. (Kluwer Academic Publishers)
    • Iasemidis, L. D., Shiau, D. S., Pardalos, P. M. & Sackellares, J. C. [2002b] "Phase entrainment and predictability of epileptic seizures," in Biocomputing, eds. Pardalos, P. M. & Principe, J. (Kluwer Academic Publishers), pp. 59-84.
    • (2002) Biocomputing , pp. 59-84
    • Iasemidis, L.D.1    Shiau, D.S.2    Pardalos, P.M.3    Sackellares, J.C.4
  • 24
    • 1242282551 scopus 로고    scopus 로고
    • On the prediction of seizures, hysteresis and resetting of the epileptic brain: Insights from models of coupled chaotic oscillators
    • eds. Bountis, T. & Pneumatikos, S., (Publishing House of K. Sfakianakis, Thessaloniki, Greece)
    • Iasemidis, L. D., Prasad, A., Sackellares, J. C., Pardalos, P. M. & Shiau, D. S. [2003a] "On the prediction of seizures, hysteresis and resetting of the epileptic brain: Insights from models of coupled chaotic oscillators," in Order and Chaos, eds. Bountis, T. & Pneumatikos, S., Vol. 8 (Publishing House of K. Sfakianakis, Thessaloniki, Greece), pp. 283-305;
    • (2003) Order and Chaos , vol.8 , pp. 283-305
    • Iasemidis, L.D.1    Prasad, A.2    Sackellares, J.C.3    Pardalos, P.M.4    Shiau, D.S.5
  • 27
    • 1242343781 scopus 로고    scopus 로고
    • Dynamical resetting of the human brain at epileptic seizures: Application of nonlinear dynamics and global optimization techniques
    • Iasemidis, L. D., Shiau, D. S., Sackellares, J. C., Pardalos, P. M. & Prasad, A. [2004] "Dynamical resetting of the human brain at epileptic seizures: Application of nonlinear dynamics and global optimization techniques," IEEE Trans. Biomed. Engin. 51, 493-506.
    • (2004) IEEE Trans. Biomed. Engin. , vol.51 , pp. 493-506
    • Iasemidis, L.D.1    Shiau, D.S.2    Sackellares, J.C.3    Pardalos, P.M.4    Prasad, A.5
  • 29
    • 0034598762 scopus 로고    scopus 로고
    • Early identification of refractory epilepsy
    • Kwan, P. & Brodie, M. J. [2000] "Early identification of refractory epilepsy," N Engl. J. Med. 342, 314-319.
    • (2000) N Engl. J. Med. , vol.342 , pp. 314-319
    • Kwan, P.1    Brodie, M.J.2
  • 30
    • 0037320865 scopus 로고    scopus 로고
    • The effect of electrical stimulation of the subthalamic nucleus on seizures is frequency dependent
    • Lado, F. A., Velisek, L. & Moshe, S. L. [2003] "The effect of electrical stimulation of the subthalamic nucleus on seizures is frequency dependent," Epilepsia 44, 157-164.
    • (2003) Epilepsia , vol.44 , pp. 157-164
    • Lado, F.A.1    Velisek, L.2    Moshe, S.L.3
  • 31
    • 0141941639 scopus 로고    scopus 로고
    • Inability of Lyapunov exponents to predict epileptic seizures
    • Lai, Y. C., Harrison, M. A. F., Frei, M. G. & Osorio, I. [2003] "Inability of Lyapunov exponents to predict epileptic seizures," Phys. Rev. Lett. 91, 068102-1-068102-4.
    • (2003) Phys. Rev. Lett. , vol.91
    • Lai, Y.C.1    Harrison, M.A.F.2    Frei, M.G.3    Osorio, I.4
  • 32
    • 0003608427 scopus 로고    scopus 로고
    • Predicting seizures of mesial temporal and neocortical origin
    • Lehnertz, K., Widman, G. & Elger, C. E. [1998] "Predicting seizures of mesial temporal and neocortical origin," Epilepsia 39, 205.
    • (1998) Epilepsia , vol.39 , pp. 205
    • Lehnertz, K.1    Widman, G.2    Elger, C.E.3
  • 33
    • 0003572378 scopus 로고    scopus 로고
    • Linear and nonlinear EEG analysis techniques for anticipating epileptic seizures
    • Lehnertz, K., Andrzejak, R. G. & Morman, F. [1999] "Linear and nonlinear EEG analysis techniques for anticipating epileptic seizures," Epilepsia 40, 71.
    • (1999) Epilepsia , vol.40 , pp. 71
    • Lehnertz, K.1    Andrzejak, R.G.2    Morman, F.3
  • 34
    • 0004222314 scopus 로고    scopus 로고
    • Lehnertz, K., Arnhold, J., Grassberger, P. & Elger, C. E., (eds.) (World Scientific, Singapore)
    • Lehnertz, K., Arnhold, J., Grassberger, P. & Elger, C. E., (eds.) [2000] Chaos in Brain? (World Scientific, Singapore).
    • (2000) Chaos in Brain?
  • 35
    • 0034820809 scopus 로고    scopus 로고
    • Nonlinear EEG analysis in epilepsy: Its possible use for interictal focus localization, seizure anticipation and prevention
    • Lehnertz, K., Andrzejak, R., Arnhold, J., Kreuz, T., Morman, F., Rieke, C., Widman, G. & Elger, C. E. [2001] "Nonlinear EEG analysis in epilepsy: Its possible use for interictal focus localization, seizure anticipation and prevention," J. Clin. Neurophysiol. 18, 209-222.
    • (2001) J. Clin. Neurophysiol. , vol.18 , pp. 209-222
    • Lehnertz, K.1    Andrzejak, R.2    Arnhold, J.3    Kreuz, T.4    Morman, F.5    Rieke, C.6    Widman, G.7    Elger, C.E.8
  • 36
    • 0032482117 scopus 로고    scopus 로고
    • Nonlinear interdependencies of EEG signals in human intracranially recorded temporal lobe seizures
    • Le Van Quyen, M., Adam, C., Baulac, M., Martinerie, J. & Varela, F. J. [1998] "Nonlinear interdependencies of EEG signals in human intracranially recorded temporal lobe seizures," Brain Res. 792, 24-40.
    • (1998) Brain Res. , vol.792 , pp. 24-40
    • Le Van Quyen, M.1    Adam, C.2    Baulac, M.3    Martinerie, J.4    Varela, F.J.5
  • 37
    • 0347662708 scopus 로고    scopus 로고
    • Nonlinear analyses of interictal EEG map the brain interdependencies in human focal epilepsy
    • Le Van Quyen, M., Martinerie, J. M., Adam, C. & Varela, F. J. [1999a] "Nonlinear analyses of interictal EEG map the brain interdependencies in human focal epilepsy," Physica D 127, 250-267.
    • (1999) Physica D , vol.127 , pp. 250-267
    • Le Van Quyen, M.1    Martinerie, J.M.2    Adam, C.3    Varela, F.J.4
  • 38
    • 0033551578 scopus 로고    scopus 로고
    • Anticipating epileptic seizures in real time by a nonlinear analysis of similarity between EEG recordings
    • Le Van Quyen, M., Martinerie, J. M., Baulac, M. & Varela, F. J. [1999b] "Anticipating epileptic seizures in real time by a nonlinear analysis of similarity between EEG recordings," Neuroreport 10, 2149-2155.
    • (1999) Neuroreport , vol.10 , pp. 2149-2155
    • Le Van Quyen, M.1    Martinerie, J.M.2    Baulac, M.3    Varela, F.J.4
  • 39
    • 0034078229 scopus 로고    scopus 로고
    • Spatiotemporal characterizations of nonlinear changes in intracranial activities prior to human temporal lobe seizures
    • Le Van Quyen, M., Adam, C., Martinerie, J. M., Baulac, M., Clemenceau, S. & Varela, F. J. [2000] "Spatiotemporal characterizations of nonlinear changes in intracranial activities prior to human temporal lobe seizures," Europ. J. Neurosci. 12, 2124-2134.
    • (2000) Europ. J. Neurosci. , vol.12 , pp. 2124-2134
    • Le Van Quyen, M.1    Adam, C.2    Martinerie, J.M.3    Baulac, M.4    Clemenceau, S.5    Varela, F.J.6
  • 44
    • 0023276463 scopus 로고
    • Timing of seizure recurrence in adult epileptic patients: A statistical analysis
    • Milton, J. G., Gotman, J., Remillard, G. M. & Andermann, F. [1987] "Timing of seizure recurrence in adult epileptic patients: A statistical analysis," Epilepsia 28, 471-478.
    • (1987) Epilepsia , vol.28 , pp. 471-478
    • Milton, J.G.1    Gotman, J.2    Remillard, G.M.3    Andermann, F.4
  • 45
    • 0030786581 scopus 로고    scopus 로고
    • Anticonvulsant effect of anterior thalamic high frequency electrical stimulation in the rat
    • Mirski, M. A., Rossell, L. A., Terry, J. B. & Fisher, R. S. [1997] "Anticonvulsant effect of anterior thalamic high frequency electrical stimulation in the rat," Epilepsy Res. 28, 89-100.
    • (1997) Epilepsy Res. , vol.28 , pp. 89-100
    • Mirski, M.A.1    Rossell, L.A.2    Terry, J.B.3    Fisher, R.S.4
  • 46
    • 0036436245 scopus 로고    scopus 로고
    • Suppression of absence seizures by electrical and pharmacological activation of the caudal superior colliculus in a genetic model of absence epilepsy in the rat
    • Nail-Boucherie, K., Le-Pham, B. T., Marescaux, C. & Depaulis, A. [2002] "Suppression of absence seizures by electrical and pharmacological activation of the caudal superior colliculus in a genetic model of absence epilepsy in the rat," Experim. Neurol. 177, 503-514.
    • (2002) Experim. Neurol. , vol.177 , pp. 503-514
    • Nail-Boucherie, K.1    Le-Pham, B.T.2    Marescaux, C.3    Depaulis, A.4
  • 49
    • 0000731432 scopus 로고
    • The evidence for a cerebral vascular mechanism in epilepsy
    • Penfield, W. [1933] "The evidence for a cerebral vascular mechanism in epilepsy," Ann. Int. Med. 7, 303-310.
    • (1933) Ann. Int. Med. , vol.7 , pp. 303-310
    • Penfield, W.1
  • 50
    • 0034352130 scopus 로고    scopus 로고
    • Kullback-Leibler and renormalized entropies: Applications to electroencephalograms of epilepsy patients
    • Quiroga, R. Q., Arnhold, J., Lehnertz, K. & Grassberger, P. [2000] "Kullback-Leibler and renormalized entropies: Applications to electroencephalograms of epilepsy patients," Phys. Rev. E 62, 8380-8386.
    • (2000) Phys. Rev. E , vol.62 , pp. 8380-8386
    • Quiroga, R.Q.1    Arnhold, J.2    Lehnertz, K.3    Grassberger, P.4
  • 53
    • 13844273532 scopus 로고    scopus 로고
    • Combined application of global optimization and nonlinear dynamics to detect state resetting in human epilepsy
    • eds. Pardalos, P. M. & Principe, J. C. (Kluwer Academic Publishers)
    • Sackellares, J. C., Iasemidis, L. D., Pardalos, P. M. & Shiau, D. S. [2002] "Combined application of global optimization and nonlinear dynamics to detect state resetting in human epilepsy," in Biocomputing, eds. Pardalos, P. M. & Principe, J. C. (Kluwer Academic Publishers), pp. 140-158.
    • (2002) Biocomputing , pp. 140-158
    • Sackellares, J.C.1    Iasemidis, L.D.2    Pardalos, P.M.3    Shiau, D.S.4
  • 56
    • 33748552583 scopus 로고    scopus 로고
    • Nonlinear approximate entropy analysis of brain electrical activity in a generalized epilepsy animal model
    • Shiau, D. S., Sackellares, J. C., Iasemidis, L. D., Maze, M. F. & Carney, P. R. [2002] "Nonlinear approximate entropy analysis of brain electrical activity in a generalized epilepsy animal model," Epilepsia 43, 273-274.
    • (2002) Epilepsia , vol.43 , pp. 273-274
    • Shiau, D.S.1    Sackellares, J.C.2    Iasemidis, L.D.3    Maze, M.F.4    Carney, P.R.5
  • 58
    • 0030126072 scopus 로고    scopus 로고
    • Performance limitations of adaptive parameter estimation and system identification algorithms in the absence of excitation
    • Tsakalis, K. S. [1996] "Performance limitations of adaptive parameter estimation and system identification algorithms in the absence of excitation," Automatica 32, 549-560.
    • (1996) Automatica , vol.32 , pp. 549-560
    • Tsakalis, K.S.1
  • 59
    • 0012205365 scopus 로고    scopus 로고
    • Bursting scenaria in adaptive algorithms: Performance limitations and some remedies
    • Tsakalis, K. S. [1997] "Bursting scenaria in adaptive algorithms: Performance limitations and some remedies," Kybernetika 33, 17-40.
    • (1997) Kybernetika , vol.33 , pp. 17-40
    • Tsakalis, K.S.1
  • 60
    • 0033800473 scopus 로고    scopus 로고
    • Acute and chronic electrical stimulation of the centromedian thalamic nucleus: Modulation of reticulo-cortical systems and predictor factors for generalized seizure control
    • Velasco, M., Velasco, F., Velasco, A. L., Jimenez, F., Brito, R. & Marquez, I. [2000] "Acute and chronic electrical stimulation of the centromedian thalamic nucleus: Modulation of reticulo-cortical systems and predictor factors for generalized seizure control," Arch. Med. Res. 31, 304-315.
    • (2000) Arch. Med. Res. , vol.31 , pp. 304-315
    • Velasco, M.1    Velasco, F.2    Velasco, A.L.3    Jimenez, F.4    Brito, R.5    Marquez, I.6
  • 61
    • 0036146953 scopus 로고    scopus 로고
    • Electrical stimulation of substantia nigra pars reticula is anticonvulsant in adult and young male rats
    • Velisek, L., Veliskova, J. & Moshe, S. L. [2002] "Electrical stimulation of substantia nigra pars reticula is anticonvulsant in adult and young male rats," Experim. Neurol. 173, 145-152.
    • (2002) Experim. Neurol. , vol.173 , pp. 145-152
    • Velisek, L.1    Veliskova, J.2    Moshe, S.L.3
  • 62
    • 0031746183 scopus 로고    scopus 로고
    • High-frequency stimulation of the subthalamic nucleus suppresses absence oseizures in the rat: Comparison with neurotoxic lesions
    • Vercueil, L., Bennazzouz, A., Deransart, C., Bressand, K., Marescaux, C., Depaulis, A. & Benabid, A. L. [1998] "High-frequency stimulation of the subthalamic nucleus suppresses absence oseizures in the rat: Comparison with neurotoxic lesions," Epilepsy Res. 31, 39-46.
    • (1998) Epilepsy Res. , vol.31 , pp. 39-46
    • Vercueil, L.1    Bennazzouz, A.2    Deransart, C.3    Bressand, K.4    Marescaux, C.5    Depaulis, A.6    Benabid, A.L.7


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