Measuring resetting of brain dynamics at epileptic seizures: application of global optimization and spatial synchronization techniques

Springer Science and Business Media LLC - Tập 17 Số 1 - Trang 74-97 - 2009
Shivkumar Sabesan1, Niranjan Chakravarthy2, K. Tsakalis2, Pãnos M. Pardalos3, Leonidas D. Iasemidis4
1Arizona State University**
2Department of Electrical Engineering, Arizona State University, Tempe, USA
3Department of Industrial and Systems Engineering, University of Florida, Gainsville, USA
4The Harrington Department of Bioengineering, Arizona State University, Tempe, USA

Tóm tắt

Từ khóa


Tài liệu tham khảo

Abarbanel H (1996) Analysis of observed chaotic data. Springer, Berlin

Chakravarthy N, Sabesan S, Iasemidis LD, Tsakalis K (2007) Controlling synchronization in a neuron-level population model. Int J Neural Syst 17(2):123–138

Chawla D, Lumer ED, Friston KJ (1999) The relationship between synchronization among neuronal populations and their mean activity level. Neural Comput. 11(6):1389–1411

Domb C, Green M (1974) Phase transitions and critical phenomena. Academic Press, New York

Esteller R, Echauz J, D’Alessandro M, Worrell G, Cranstoun S, Vachtsevanos G, Litt B (2005) Continuous energy variation during the seizure cycle: towards an on-line accumulated energy. Clin Neurophysiol 116(3):517–526

Fink M (2000) Electroshock revisited. Am Sci 88:162–167

Good L (2007) Automated seizure prediction and control in a rat model of chronic epilepsy. PhD thesis, Arizona State University

Good L, Sabesan S, Iasemidis L, Tsakalis K, Treiman D (2004) Brain dynamical disentrainment by a nti-epileptic drugs in rat and human status epilepticus. In: 26th annual international conference of the engineering in medicine and biology society, vol 1, pp 1–4

Grassberger P, Procaccia I (1983a) Characterization of strange attractors. Phys Rev Lett 50(5):346–349

Grassberger P, Procaccia I (1983b) Measuring the strangeness of strange attractors. Phys D: Nonlinear Phenom 9(1–2):189–208

Gwinn R, Kondratyev A, Gale K (2002) Time-dependent increase in basic fibroblast growth factor protein in limbic regions following electroshock seizures. Neuroscience 114(2):403–409

Haken H (1996) Principles of brain functioning: a synergetic approach to brain activity. Springer, New York

Hugenii C (1986) Horoloquim oscilatorium. Muguet, Paris; reprinted in English as: The pendulum clock, Iowa State UP, Ames

Iasemidis L (2003) Epileptic seizure prediction and control. IEEE Trans Biomed Eng 50(5):549–558

Iasemidis L, Sackellares J (1991) The temporal evolution of the largest Lyapunov exponent on the human epileptic cortex. In: Measuring chaos in the human brain, World Scientific, Singapore, pp 49–82

Iasemidis L, Olson L, Savit R, Sackellares J (1994) Time dependencies in the occurrences of epileptic seizures. Epilepsy Res 17(1):81–94

Iasemidis L, Principe J, Czaplewski J, Gilmore R, Roper S, Sackellares J (1997) Spatiotemporal transition to epileptic seizures: a nonlinear dynamical analysis of scalp and intracranial EEG recordings. In: Silva FL, Principe JC, Almeida LB (eds) Spatiotemporal models in biological and artificial systems, pp 81–88

Iasemidis L, Principe J, Sackellares J (2000) Measurement and quantification of spatio-temporal dynamics of human epileptic seizures. In: Akay M (ed) Nonlinear biomedical signal processing, vol 2, pp 294–318

Iasemidis L, Pardalos P, Sackellares J, Shiau D (2001) Quadratic binary programming and dynamical system approach to determine the predictability of epileptic seizures. J Comb Optim 5(1):9–26

Iasemidis L, Shiau D, Chaovalitwongse W, Pardalos P, Carney P, Sackellares J (2002) Adaptive seizure prediction system. Epilepsia 43:264–265

Iasemidis L, Pardalos P, Shiau D, Chaovalitwongse W, Narayanan K, Sabesan S, Carney P Chris Sackellares J (2003a) Prediction of human epileptic seizures based on optimization and phase changes of brain electrical activity. Optim Methods Softw 18(1):81–104

Iasemidis L, Prasad A, Sackellares J, Pardalos P, Shiau D (2003b) On the prediction of seizures, hysteresis and resetting of the epileptic brain: insights from models of coupled chaotic oscillators. In: Bountis T, Pneumatikos S (eds) Order and chaos, vol 8. Publishing House, Thessaloniki, pp 283–305

Iasemidis L, Shiau D, Chaovalitwongse W, Sackellares J, Pardalos P, Principe J, Carney P, Prasad A, Veeramani B, Tsakalis K (2003c) Adaptive epileptic seizure prediction system. IEEE Trans Biomed Eng 50(5):616–627

Iasemidis L, Shiau D, Sackellares J, Pardalos P, Prasad A (2004) Dynamical resetting of the human brain at epileptic seizures: application of nonlinear dynamics and global optimization techniques. IEEE Trans Biomed Eng 51(3):493–506

Iasemidis L, Tsakalis K, Sackellares J, Pardalos P (2005) Comment on “Inability of Lyapunov exponents to predict epileptic seizures”. Phys Rev Lett 94(1):19801

Kostelich EJ (1992) Problems in estimating dynamics from data. Physica D: Nonlinear Phenom 58(1–4):138–152

Lee K, Schubert P, Heinemann U (1984) The anticonvulsive action of adenosine: a postsynaptic, dendritic action by a possible endogenous anticonvulsant. Brain Res 321(1):160–164

McCormick DA, Contreras D (2001) On the cellular and network bases of epileptic seizures. Annu Rev Physiol 63:815–846

Medvedev A (2002) Epileptiform spikes desynchronize and diminish fast (gamma) activity of the brain an “anti-binding”-mechanism. Brain Res Bull 58(1):115–128

Olson L, Iasemidis L, Sackellares J (1989) Evidence that interseizure intervals exhibit low dimensional non-random dynamics. Epilepsia 30(5):644

Packard N, Crutchfield J, Farmer J, Shaw R (1980) Geometry from a time series. Phys Rev Lett 45(9):712–716

Panter P (1965) Modulation, noise, and spectral analysis: applied to information transmission. McGraw-Hill, New York

Pardalos P, Rosen J (1987) Constrained global optimization: algorithms and applications. Springer, New York

Prasad A, Iasemidis L, Sabesan S, Tsakalis K (2005) Dynamical hysteresis and spatial synchronization in coupled non-identical chaotic oscillators. Pramana J Phys 64(4):513–523

Prince D, Jacobs K (1998) Inhibitory function in two models of chronic epileptogenesis. Epilepsy Res 32(1–2):83–92

Rosenblum M, Kurths J (1998) Analysing synchronization phenomena from bivariate data by means of the Hilbert transform. In: Kantz H, Kurths J, Mayer-Kress G. (eds) Nonlinear analysis of physiological data. Springer, Berlin, pp 91–99

Rosenblum M, Pikovsky A, Kurths J (1996) Phase synchronization of chaotic oscillators. Phys Rev Lett 76(11):1804–1807

Sabesan S, Narayanan K, Prasad A, Spanias A, Sackellares J, Iasemidis L (2003) Predictability of epileptic seizures: a comparative study using Lyapunov exponent and entropy based measures. Biomed Sci Instrum 39:129–35

Sabesan S, Chakravarthy N, Good L, Tsakalis K, Pardalos P, Iasemidis L (2007) Global optimization and spatial synchronization prior to epileptic seizures. In: Pardalos P, Alves C, Vicente L (eds) Optimization in biomedicine. Springer optimization and its applications series, vol 12. Springer, Berlin, pp 103–125

Sackellares J, Iasemidis L, Shiau D, Gilmore R, Roper S (2000) Epilepsy when chaos fails. In: Lehnertz K, Arnhold J, Grassberger P, Elger CE (eds) Chaos in the brain? World Scientific, Singapore, pp 112–133

Shiau D, Luo Q, Gilmore R, Roper S, Pardalos P, Sackellares J, Iasemidis L (2000) Epileptic seizures resetting revisited. Epilepsia 41(Suppl 7):208

Takens F (1980) Detecting strange attractors in turbulence. In: Dynamical systems and turbulence, proc symp, Coventry

Traub RD, Contreras D, Whittington MA (2005) Combined experimental/simulation studies of cellular and network mechanisms of epileptogenesis in vitro and in vivo. J Clin Neurophysiol 22(5):330–342

Tsakalis K, Iasemidis LD (2006) Control aspects of a theoretical model for epileptic seizures. Int J Bifurc Chaos 16(7):2013–2027

Tsakalis K, Chakravarthy N, Sabesan S, Iasemidis LD, Pardalos PM (2006) A feedback control systems view of epileptic seizures. Cybern Syst Anal 42(4):483–495

Vastano J, Kostelich E (1986) Comparison of algorithms for determining Lyapunov exponents from experimental data. In: Mayer-Kress G (ed) Dimensions and entropies in chaotic systems: quantification of complex behavior, pp 100–107

Wendling F, Bartolomei F, Bellanger JJ, Chauvel P (2002) Epileptic fast activity can be explained by a model of impaired gabaergic dendritic inhibition. Eur J Neurosci 15(9):1499–1508

Wolf A, Swift J, Swinney H, Vastano J (1985) Determining Lyapunov exponents from a time series. Physica D 16(3):285–317

Zhou J, Lenck-Santini P, Holmes G (2007) Postictal single-cell firing patterns in the hippocampus. Epilepsia 48(4):713–719