Control of state transitions in an in silico model of epilepsy using small perturbations

IEEE Transactions on Biomedical Engineering

Volumn 51, Issue 10, 2004, Pages 1856-1859

  Chiu, Alan W L ^a   Bardakjian, Berj L ^a  

^a UNIVERSITY OF TORONTO   (Canada)

Author keywords

Artificial neural networks; Chaos control; Higher complexity activities; In silico model of spontaneous seizure; Lower complexity activities; Mixture of Gaussians; Online prediction; Small perturbation; State transitions; System vector fields

Indexed keywords

DISEASES; MATHEMATICAL MODELS; NEUROLOGY; OSCILLATIONS; PERTURBATION TECHNIQUES; VECTORS;

NEURONS; SILICO EPILEPSY; TRANSMEMBRANES;

NEURAL NETWORKS;

ARTICLE; ARTIFICIAL NEURAL NETWORK; CHAOTIC DYNAMICS; COMPUTER MODEL; ELECTRIC POTENTIAL; EPILEPSY; HIPPOCAMPUS; NONLINEAR SYSTEM; NORMAL DISTRIBUTION; ONLINE ANALYSIS; OSCILLATION; PREDICTION; SEIZURE;

ACTION POTENTIALS; BIOLOGICAL CLOCKS; BRAIN; COMPUTER SIMULATION; DIAGNOSIS, COMPUTER-ASSISTED; ELECTRIC STIMULATION; ELECTRIC STIMULATION THERAPY; EPILEPSY; FEEDBACK; HUMANS; MODELS, NEUROLOGICAL; NERVE NET; NEURAL NETWORKS (COMPUTER); THERAPY, COMPUTER-ASSISTED;

EID: 3042849899     PISSN: 00189294     EISSN: None     Source Type: Journal    
DOI: 10.1109/TBME.2004.831520     Document Type: Article

References (15)

1. B. L. Bardakjian and N. E. Diamant, "A mapped clock oscillator model for transmembrane electrical rhythmic activity in excitable cells," J. Theor. Biol., vol. 166, pp. 225-235, 1994.
2. B. L. Bardakjian, R. Aschebrenner-Scheibe, J. L. Perez-Velazquez, and P. Carlen, "Transmembrane voltage oscillations in CA3 neurons," in Proc. IEEE 17th Annu. Conf. EMBS, vol. 17, 1995, pp. 1503-1504.
3. W. J. Freeman, "Tutorial on neurology: from single neurons to brain chaos," Int. J. Bifurcation Chaos, vol. 2, no. 3, pp. 451-482, 1992.
4. S. J. Schiff, K. Jerger, D. H. Duong, T. Chang, M. L. Spano, and W. L. Ditto, "Controlling chaos in the brain," Nature, vol. 370, pp. 615-620, 1994.
5. M. L. V. Quyen, J. Martinerie, C. Adam, and F. J. Varela, "Unstable periodic orbits in human epileptic activity", Phys. Rev. E, vol. 56, pp. 3401-3411, Sept. 1997.
6. B. Gluckman, H. Nguyen, S. Weinstein, and S. Schiff, "Adaptive electric field control of epileptic seizures," J. Neurosci., vol. 21, no. 2, pp. 590-600, 2001.
7. D. M. Durand and M. Bikson, "Suppression and control of epileptiform activity by electrical stimulation: a review," Proc. IEEE, vol. 89, pp. 1065-1082, 2001.
8. D. J. Christini and J. Collins, "Control of chaos in excitable physiological systems: a geometric analysis," Chaos, vol. 7, no. 4, pp. 544-549, 1997.
9. M. W. Slutzky, P. Cvitanovic, and D. J. Mogul, "Manipulating epileptiform bursting in the rat hippocampus using chaos control and adaptive techniques," IEEE Trans. Biomed. Eng., vol. 50, pp. 559-570, May 2003.
10. A. Wolf, J. B. Swift, H. L. Swinney, and J. A. Vastano, "Determining lyapunov exponents from a time series," Physica D, vol. 16, pp. 285-317, 1985.
11. L. D. Iasemidis, D. S. Shiau, W. Chaovalitwongse, J. C. Sackellares, P. M. Pardalos, J. C. Principe, P. R. Carney, A. Prasad, B. Veeramani, and K. Tsakalis, "Adaptive epileptic seizure prediction systems," IEEE Trans. Biomed. Eng., vol. 50, pp. 616-627, May 2003.
12. E. Ott, C. Grebogi, and J. A. Yorke, "Controlling chaos," Phys. Rev. Lett., vol. 64, no. 11, pp. 1196-1199, 1990.
13. D. J. Christini and J. J. Collins, "Using noise and chaos control to control nonchaotic systems," Phys. Rev. E, vol. 52, pp. 5806-5809, 1995.
14. -, "Using chaos control and tracking to suppress a pathological non-chaotic rhythm in a cardiac model," Phys. Rev. E, vol. 53, pp. 49-52, 1996.
15. A. Courville and B. L. Bardakjian, "Chaosmakers: rhythmicity breakers," in Proc. IEEE 1st Joint BMES/EMBS Conf., vol. 1, 1999, p. 406.