The dynamic evolution of focal-onset epilepsies - combining theoretical and clinical observations

European Journal of Neuroscience

Volumn 36, Issue 2, 2012, Pages 2188-2200

  Blenkinsop, Alex ^a   Valentin, Antonio ^b   Richardson, Mark P ^b   Terry, John R ^a,b,c  

^a UNIVERSITY OF SHEFFIELD   (United Kingdom)

^b KING'S COLLEGE LONDON   (United Kingdom)

^c UNIVERSITY OF EXETER   (United Kingdom)

Author keywords

Bifurcation analysis; Focal epilepsy; Mathematical model; Neural mass formulation; Numerical continuation; Seizure evolution

Indexed keywords

ADULT; ARTICLE; BRAIN MAPPING; CASE REPORT; CLINICAL FEATURE; DISEASE ACTIVITY; DISEASE COURSE; ELECTROENCEPHALOGRAM; EPILEPTIC DISCHARGE; EPILEPTOGENESIS; FEMALE; FOCAL EPILEPSY; GENETIC ALGORITHM; HUMAN; IDIOPATHIC DISEASE; MATHEMATICAL MODEL; NEURAL MASS MODEL; PRIORITY JOURNAL; SPIKE WAVE; TEMPORAL LOBE EPILEPSY;

ACTION POTENTIALS; ADULT; BRAIN; BRAIN WAVES; EPILEPSIES, PARTIAL; FEMALE; GABAERGIC NEURONS; HUMANS; INTERNEURONS; MIDDLE AGED; MODELS, NEUROLOGICAL; PYRAMIDAL CELLS;

EID: 84864000743     PISSN: 0953816X     EISSN: 14609568     Source Type: Journal    
DOI: 10.1111/j.1460-9568.2012.08082.x     Document Type: Article

References (55)

1. Bosnyakova, D., Gabova, A., Zharikova, A., Gnezdistski, V., Kuznetsova, G. & van Luijtelaar, G. (2007) Some peculiarities of time-frequency dynamics of spike-wave discharges in humans and rats. Clin. Neurophysiol., 118, 1736-1743.
2. Breakspear, M., Roberts, J.A., Terry, J.R., Rodrigues, S., Mahant, N. & Robinson, P.A. (2006) A unifying explanation of primary generalized seizures through nonlinear modeling and bifurcation analysis. Cereb. Cortex, 16, 1296-1313.
3. Coombes, S. (2010) Large scale neural dynamics: simple and complex. Neuroimage, 52, 731-739.
4. A inhibition in typical absence epilepsy. Nat. Med., 15, 1392-1398.
5. David, O. & Friston, K. (2003) A neural mass model for MEG/EEG: coupling and neuronal dynamics. Neuroimage, 20, 1743-1755.
6. David, O., Blauwblomme, T., Job, A.-S., Chabardes, S., Hoffman, D., Minotti, L. & Kahane, P. (2011) Imaging the seizure onset zone with stereo-electroencephalography. Brain, 134, 2898-2911.
7. Deco, G., Jirsa, V.K., Robinson, P.A., Breakspear, M. & Friston, K. (2008) The dynamic brain: from spiking neurons to neural masses and cortical fields. PLoS Comput. Biol., 4, 1000092.
8. B receptors. J. Neurosci., 18, 9099-9111.
9. Ebersole, J.S. & Pacia, S.V. (1996) Localization of temporal lobe foci by ictal EEG patterns. Epilepsia, 37, 386-399.
10. Engel, J., Wolfson, L. & Brown, L. (1978) Anatomical correlates of electrical and behavioural events related to amygdaloid kindling. Ann. Neurol., 3, 538-544.
11. Engelboroghs, K., Luzyanina, T. & Samaey, G. (2001) DDE-BIFTOOL v2.00: A MATLAB Package for Bifurcation Analysis of Delay Differential Equations. Report number TW-330. Department of Computer Science, K.U. Leuven.
12. Ermentrout, B. (2002) Simulating, Analyzing, and Animating Dynamical Systems: A Guide to XPPAUT for Researchers and Students. SIAM, Philadelphia, PA.
13. Freeman, W.J. (1975) Mass Action in the Nervous System. Academic Press, New York.
14. Goffin, K., van Paesschen, W., Dupont, P. & van Laere, K. (2009) Longitudinal microPET imaging of brain glucose metabolism in rat lithium-pilocarpine model of epilepsy. Exp. Neurol., 27, 205-229.
15. Grimbert, F. & Faugeras, O. (2005) Bifurcation analysis of Jansen's neural mass model. Neural Comput., 18, 3052-3068.
16. Izhikevich, E.M. & Edelman, G.M. (2008) Large-scale model of mammalian thalamocortical systems. PNAS, 105, 3593-3598.
17. Jansen, B.H. & Rit, V.G. (1995) Electroencephalogram and visual evoked potential generation in a mathematical model of coupled cortical columns. Biol. Cybern., 73, 357-366.
18. Kennedy, C., Des Rosiers, M.H., Sakurada, O., Shinohara, M., Reivich, M., Jehle, J.W. & Sokoloff, L. (1976) Metabolic mapping of the primary visual system of the monkey by means of the autoradiographic (14C)deoxyglucose technique (ocular dominance columns/blind spot/cerebral glucose utilization/cerebral energy metabolism/brain). Proc. Natl. Acad. Sci. USA, 73, 4230-4234.
19. Krauskopf, B., Osinga, H.M. & Galan-Vioque, J. (Eds) (2007) Numerical Continuation Methods for Dynamical Systems. Springer and Canopus Publishing, New York.
20. Kuznetsov, Y.U. (1995) Elements of Applied Bifurcation Theory, 2nd Edn. Springer-Verlag, London.
21. Lee, S.-A., Spencer, D.D. & Spencer, S.S. (2000) Intracranial EEG seizure-onset patterns in neocortical epilepsy. Epilepsia, 41, 297-307.
22. Liley, D.T.J. & Bojak, I. (2005) Understanding the transition to seizure by modelling the epileptiform activity of general anesthetic agents. J. Clin. Neurophys., 22, 300-313.
23. Liley, D.T.J., Cadusch, P.J. & Daphilis, M.P. (2002) A spatially continuous mean field theory of electrocortical activity. Network, 13, 67-113.
24. Lopes da Silva, F.H., Hoeks, A., Smits, H. & Zetterberg, L.H. (1974) Model of brain rhythmic activity. Kybernetik, 15, 27-37.
25. Margerison, J.H. & Corsellis, J.A.N. (1966) Epilepsy and the temporal lobes. Brain, 89, 499-530.
26. Marten, F., Rodrigues, S., Benjamin, O., Richardson, M.P. & Terry, J.R. (2009a) Onset of polyspike complexes in a mean-field model of human electroencephalograph and its application to absence epilepsy. Philos. Transact. A Math. Phys. Eng. Sci., 367, 1145-1161.
27. Marten, F., Rodrigues, S., Suffczynski, P., Richardson, M.P. & Terry, J.R. (2009b) Derivation and analysis of an ordinary differential equation mean-field model for studying clinically recorded epilepsy dynamics. Phys. Rev. E, 79, 021911.
28. McIntrye, D.C. & Gilby, K.L. (2008) Mapping seizure pathways in the temporal lobe. Epilepsia, 49, 23-30.
29. Nevado-Holgado, A.J., Marten, F., Richardson, M.P. & Terry, J.R. (2012) Characterising the dynamics of EEG waveforms as the path through parameter space of a neural mass model: application to epilepsy seizure evolution. Neuroimage, 59, 2374-2392.
30. Newton, M.R., Berkovic, S.F., Austin, M.C., Rowe, C.C., McKay, W.J. & Bladin, P.F. (1995) SPECT in the localisation of extratemporal and temporal seizure foci. J. Neurol. Neurosurg. Psychiatry, 59, 26-30.
31. Niessen, H.G., Angenstein, F., Vielhaber, S., Frisch, C., Kudin, A., Elger, C.E., Heinze, H.-J., Scheich, H. & Kunz, W.S. (2005) Volumetric magnetic resonance imaging of functionally relevant structural alterations in chronic epilepsy after pilocarpine-induced status epilepticus in rats. Epilepsia, 46, 1021-1026.
32. Nunez, P.L. & Srinivasan, R. (2006) Electric Fields of the Brain: The Neurophysics of EEG, 2nd Edn. Oxford University Press, Oxford.
33. O'Muircheartaigh, J. & Richardson, M.P. (2012) Epilepsy and the frontal lobes. Cortex, 48, 144-155.
34. Pacia, S.V. & Ebersole, J.S. (1997) Intracranial EEG substrates of scalp ictal patterns from temporal lobe foci. Epilepsia, 38, 642-654.
35. A receptor-mediated inhibition in dentate granule cells in a model of post-traumatic epilepsy in rats. Neuroscience, 194, 208-219.
36. Peng, B., Gaspar, V. & Showalter, K. (1991) False bifurcation in chemical systems: canards. Phil. Trans. R. Soc. Lond. A, 337, 275-289.
37. Pijn, J.P.M. (1990) Quatitative evaluation of EEG signals in epilepsy: nonlinear association time delays and nonlinear dynamics. PhD Thesis. University of Amsterdam, Amsterdam.
38. Rodrigues, S., Barton, D., Szalai, R., Benjamin, O., Richardson, M.P. & Terry, J.R. (2009) Transitions to spike-wave oscillations and epileptic dynamics in a human cortico-thalamic mean-field model. J. Comp. Neurosci., 27, 507-526.
39. Rodrigues, S., Barton, D., Marten, F., Kibuuka, M., Alarcon, G., Richardson, M.P. & Terry, J.R. (2010) A method for detecting false bifurcations in dynamical systems: application to neural field models. Biol. Cybern., 102, 145-154.
40. van Rotterdam, A., Lopes da Silva, F., van den Ende, J., Viergever, M. & Hermans, A. (1982) A model of the spatial-temporal characteristics of the alpha rhythm. Bull. Math. Biol., 44, 283-305.
41. Sloviter, R.S., Zappone, C.A., Bumanglag, A.V., Norwood, B.A. & Kudrimoti, H. (2007) On the relevance of prolonged convulsive status epilepticus in animals to the etiology and neurobiology of human temporal lobe epilepsy. Epilepsia, 48, 6-10.
42. Spiegler, A., Kiebel, S.J., Atay, F.M. & Knosche, T.R. (2010) Bifurcation analysis of neural mass models: impact of extrinsic inputs and dendritic time constants. Neuroimage, 52, 1041-1058.
43. Stam, C.J. (2005) Nonlinear dynamical analysis of EEG and MEG: review of an emerging field. Clin. Neurophysiol., 116, 2266-2301.
44. Steriade, M. (2003) Neuronal Substrates of Sleep and Epilepsy. Cambridge University Press, Cambridge.
45. Suffczynski, P., Lopes da Silva, F., Parra, J., Velis, D. & Kalitzin, S. (2005) Epileptic transitions: model predictions and experimental validation. J. Clin. Neurophysiol., 22, 288-299.
46. Taylor, P.N. & Baier, G. (2011) A spatially extended model for macroscopic spike-wave discharges. J. Comput. Neurosci., 31, 679-684.
47. Theiler, J., Eubank, S., Longtin, A., Galdrikian, B. & Farmer, J.D. (1992) Testing for nonlinearity in time series: the method of surrogate data. Physica D, 58, 77-94.
48. Touboul, J., Wendling, F., Chauvel, P. & Faugeras, O. (2011) Neural mass activity, bifurcations and epilepsy. Neural Comput., 23, 3232-3286.
49. van Veen, L. & Liley, D.T.J. (2006) Chaos via Shilnikov's Saddle-Node bifurcation in a theory of the electroencephalogram. Phys. Rev. Lett., 97, 208101.
50. Wendling, F., Bellanger, J.J., Bellanger, J.J. & Chauvel, P. (2000) Relevance of nonlinear lumped-parameter models in the analysis of depth-EEG epileptic signals. Biol. Cybern., 83, 367-378.
51. Wendling, F., Bartolomei, F., Bellanger, J.J. & Chauvel, P. (2002) Epileptic fast activity can be explained by a model of impaired GABAergic dendritic inhibition. Eur. J. Neurosci., 15, 1499-1508.
52. Wendling, F., Hernandez, A., Bellanger, J.J., Chauvel, P. & Bartolomei, F. (2005) Interictal to ictal transition in human temporal lobe epilepsy: insights from a computational model of intracerebral EEG. J. Clin. Neurophysiol., 22, 343-356.
53. Williamson, P.D., French, J.A., Thadani, V.M., Kim, J.H., Novelly, R.A., Spencer, S.S., Spencer, D.D. & Mattson, R.H. (1993) Characteristics of medial temporal lobe epilepsy II. Interictal and ictal scalp electroencephalography, neuropsychological testing, neuroimaging, surgical results and pathology. Ann. Neurol., 34, 781-787.
54. Williamson, P.D., Thadani, V.M., French, J.A., Darcey, T.M., Mattson, R.H., Spencer, S.S. & Spencer, D.D. (1998) Medial temporal lobe epilepsy: videotape analysis of objective clinical seizure characteristics. Epilepsia, 39, 1182-1188.
55. Zhan, R.Z. & Nadler, J.V. (2009) Enhanced tonic GABA current in normotopic and hilar ectopic dentate granule cells after pilocarpine-induced status epilepticus. J. Neurophysiol., 102, 670-681.