Nocturnal frontal lobe epilepsy metastability in a dynamic disease?

Epilepsy: The Intersection of Neurosciences, Biology, Mathematics, Engineering, and Physics

Volumn , Issue , 2016, Pages 501-510

  Milton, John G ^a   Quan, Austin R ^b   Osorio, Ivan ^c  

^a KECK GRADUATE INSTITUTE   (United States)

^b HARVEY MUDD COLLEGE   (United States)

^c UNIVERSITY OF KANSAS SCHOOL OF MEDICINE   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 85052615467     PISSN: None     EISSN: None     Source Type: Book    
DOI: None     Document Type: Chapter

References (29)

1. Baer, S.M., T. Erneux, and J. Rinzel. 1989. The slow passage through a Hopf bifurcation: Delay, memory effects, and resonance. SIAM J. Appl. Math. 49:55-71.
2. El Boustani, S., and A. Destrexhe. 2009. A master equation formalism for macroscopic modeling of asynchronous irregular activity states. Neural Comp. 21:46-100.
3. Bunde, A., S. Havlin, J.W. Kantekhardt, T. Pensel, J.-H. Peter, and K. Voight. 1999. Correlated and uncorrelated regions of heart-rate fluctuations during sleep. Phys. Rev. Lett. 85:3736-3739.
4. Buzsáki, G. 2006. Rhythms of the brain. New York: Oxford University Press.
5. Foss, J., and J. Milton. 2000. Multistability in recurrent neural loops arising from delay. J. Neurophysiol. 84:975-985.
6. Freeman, W.J., M.D. Holmes, G.A. West, and S. Vanhatalo. 2006. Dynamics of human neocortex that optimizes its stability and flexibility. Int. J. Intell. Sys. 21:881-901.
7. Gloor, P., M. Avoli, and G. Kostopoulos. 1990. Thalamocortical relationships in generalized epilepsy with bilaterally synchronous spike-and-wave discharge. In Generalized epilepsy: Neurobiological approaches, eds. M. Avoli, P. Gloor, G. Kostopoulos, and R. Naquet, 190-212. Boston: Birkhäuser.
8. Hale, J., and H. Kocek. 1991. Dynamics and bifurcations. New York: Springer-Verlag.
9. Hoppensteadt, F.C., and E.M. Izhikevich. 1997. Weakly connected neural networks. New York: Springer.
10. Iber, C., S. Ancoli-Israel, A. Chesson, and S.F. Quan. 2007. The AASM manual for the scoring of sleep and associated events: Rules, terminology and technical specifications. Westchester: American Academy of Sleep Medicine.
11. Kelso, J.A.S. 1999. Dynamic patterns: The self-organization of brain and behavior. Cambridge, MA: MIT Press.
12. Khosravani, H., P.L. Carlen, and J.L. Perez Velazquez. 2003. The control of seizure-like activity in the rat hippocampal slice. Biophys. J. 84:687-695.
13. Lopes da Silva, F.H., W. Blanes, S. Kalitizin, J. Gomez, P. Suffcyzynski, and F.J. Velis. 2003. Dynamical diseases of brain systems: Different routes to epileptic seizures. IEEE Trans. Biomed. Eng. 50:540-548.
14. Ma, J., and J. Wu. 2007. Multistability in spiking neuron models of delayed recurrent inhibitory loops. Neural Comp. 19:2124-2148.
15. Mann, E.O., and I. Mody. 2008. The multifaceted role of inhibition in epilepsy: Seizure-genesis through excessive GABAergic inhibition in autosomal dominant nocturnal frontal lobe epilepsy. Curr. Opin. Neurol. 21:155-160.
16. Milton, J., S. Small, and A. Solodkin. 2004. On the road to automatic: Dynamic aspects of skill acquisition. J. Clin. Neurophysiol. 21:134-143.
17. Milton, J., J.L. Cabrera, and T. Ohira. 2008. Unstable dynamical systems: Delays, noise and control. EPL 83:48001.
18. Milton, J., P. Naik, C. Chan, and S.A. Campbell. 2010. Indecision in neural decision making models. Math. Model. Nat. Phenom. 5:125-145.
19. Milton, J.G. 2010a. Neurodynamics and ion channels: A tutorial. In Epilepsy: The intersection of neurosciences, biology, mathematics, engineering and physics. I. Osorio, H.P. Zanvari, M.G. Frei, and S. Arthurs, eds., 111-124. Boca Raton, FL: CRC Press, Francis & Taylor.
20. Milton, J.G. 2010b. Epilepsy as a dynamic disease: A tutorial of the past with an eye to the future. Epil. Behav. 18(1-2):33-44.
21. Osorio, I., and M.G. Frei. 2009. Real-time detection, quantification, warning, and control of epileptic seizures: The foundations of a scientific epileptology. Epilepsy Behav. 16:391-396.
22. Pakdaman, K., C. Grotta-Ragazzo, C.P. Malta, O. Arino, and J.-F. Vobert. 1998. Effect of delay on the boundary of the basin of attraction in a system of two neurons. Neural Netw. 11:509-519.
23. Shanahan, M. 2010. Metastable chimera states in community-structured oscillator networks. Chaos 20:013108.
24. Sornette, D. 2004. Critical phenomena in natural sciences: Chaos, fractals, self-organization and disorder: Concepts and tools. New York: Springer.
25. Steraide, M. 2005. Sleep, epilepsy and thalamic reticular inhibitory neurons. TINS 28:317-324.
26. Telser, S., M. Staudacher, Y. Ploner, A. Amann, H. Hinterhuber, and M. Ritsch-Marte. 2004. Can one detect sleep stage transitions for on-line sleep scoring by monitoring the heart rate variability? Somnologie 8:33-41.
27. Timme, M., and F. Wolf. 2008. The simplest problem in the collective dynamics of neural networks: Is synchrony stable? Nonlinearity 21:1579-1599.
28. Williams, D.A. 1953. A study of thalamic and cortical rhythm in petit mal. Brain 76:50-59.
29. Wilson, H.R., and J.D. Cowan. 1972. Excitatory and inhibitory interactions in localized populations of model neurons. Biophys. J. 12:1-23.