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Brain Network Characteristics in Status Epilepticus

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Optimization in Science and Engineering

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Abstract

Status Epilepticus (SE) is the condition in which the epileptic brain is in a state of persistent seizure activity. SE is a major health concern with an estimated 42,000 deaths every year in the USA alone. We developed a novel methodology, based on information flow and graph theory, and applied to intracranial electroencephalographic (EEG) recordings from rats induced to SE in the Lithium-Pilocarpine animal model of epilepsy. We defined two measures of the transition of the brain network into and out of SE: the network density (ND) and the network node in–out degree correlation (NIODc). The measures correspond to familiar ones from graph theory with estimates of connectivity based on the Generalized Partial Directed Coherence (GPDC). We consistently observed an increase in the connectivity between brain sites and imbalance in the information flow from and to brain sites at the start of SE, with a progressive trend towards restoration of their baseline values by the end of SE and thereafter. These findings could contribute to the development of novel tools for monitoring and more efficient treatment of status epilepticus.

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References

  1. Baccala, L.A., Sameshima, K.: Partial directed coherence: a new conception in neural structure determination. Biol. Cybern. 84(6), 463–474 (2001)

    Article  MATH  MathSciNet  Google Scholar 

  2. Baccala, L.A., Takahashi, D.Y., Sameshima, K.: Generalized partial directed coherence. In: Proceedings of the 15th International Conference on Digital Signal Processing, pp. 162–166 (2007)

    Google Scholar 

  3. Blinowska, K.J., Kus, R., Kaminski, M., Janiszewska, J.: Transmission of brain activity during cognitive task. Brain Topogr. 23(2), 205–213 (2010)

    Article  Google Scholar 

  4. Boersma, M., Smit, D.J., de Bie, H.M., Van Baal, G.C., Boomsma, D.I., de Geus, E.J., Delemarre-van de Waal, H.A., Stam, C.J.: Network analysis of resting state EEG in the developing young brain: structure comes with maturation. Hum. Brain Mapp. 32(3), 413–425 (2011)

    Google Scholar 

  5. Bullmore, E., Sporns, O.: Complex brain networks: graph theoretical analysis of structural and functional systems. Nat. Rev. Neurosci. 10(3), 186–198 (2009)

    Article  Google Scholar 

  6. Epilepsy Foundation of America: Treatment of convulsive status epilepticus. J. Am. Med. Assoc. 270, 854–859 (1993)

    Google Scholar 

  7. Faes, L., Erla, S., Nollo, G.: Measuring Connectivity in Linear Multivariate Processes: Definitions, Interpretation, and Practical Analysis. Comp. Math. Methods Med. Special issue on “Methodological Advances in Brain Connectivity”, 140513 (2012)

    Google Scholar 

  8. Faith, A., Sabesan, S., Wang, N., Treiman, D.M., Sirven, J.I., Tsakalis, K., Iasemidis, L.D.: Dynamical analysis of the EEG and treatment of human status epilepticus by antiepileptic drugs. In: Chaovalitwongse, W., Pardalos, P.M., Xanthopoulos, P. (eds.) Computational Neuroscience, Springer Optimization and Its Applications, vol. 38, pp. 305–315. Springer, New York (2010)

    Google Scholar 

  9. Franaszczuk, P.J., Bergey, G.K., Kamiski M.: Analysis of mesial temporal seizure onset and propagation using the directed transfer function method. Electroencephalogr. Clin. Neurophysiol. 91(6), 413–427 (1994)

    Article  Google Scholar 

  10. Gersch, W.,Goddard, G.V.: Epileptic focus location: spectral analysis method. Science 169(3946), 701–702 (1970)

    Article  Google Scholar 

  11. Good, L.B., Sabesan, S., Iasemidis, L.D., Tsakalis, K., Treiman, D.M.: Brain dynamical disentrainment by anti-epileptic drugs in rat and human status epilepticus. In: Engineering in Medicine and Biology Society, IEMBS 2004. 26th Annual International Conference of the IEEE, pp. 176–179 (2004)

    Google Scholar 

  12. Iasemidis, L.D., Principe, J.C., Sackellares, J.C.: Measurement and quantification of spatiotemporal dynamics of human epileptic seizures. In: Akay, M. (ed.) Nonlinear Biomedical Signal Processing, vol. 2, pp. 294–318. Wiley-IEEE Press, New York (2000)

    Google Scholar 

  13. Kaminski, M., Blinowska, K.J.: A new method of the description of the information flow in the brain structures. Biol.Cybern. 65(3), 203–210 (1991)

    Article  MATH  Google Scholar 

  14. Kaminski, M., Blinowska, K.J., Szelenberger, W.: Topographic analysis of coherence and propagation of EEG activity during sleep and wakefulness. Electroencephalogr. Clin. Neurophysiol. 102(3), 216–227 (1997)

    Article  Google Scholar 

  15. Kay, S.: Modern Spectral Estimation. Theory & Application. Prentice-Hall, Englewood Cliffs (1988)

    MATH  Google Scholar 

  16. Krishnan, B., Vlachos, I., Wang, Z.I., Mosher, J., Iasemidis, L., Burgess, R., Alexopoulos, A.V.: Advanced MEG source analysis for epileptogenic focus localization in patients with non-lesional MRI. In: Proceedings of the 29th Southern Biomedical Engineering Conference, Miami (2013)

    Google Scholar 

  17. Lu, Y., Yang, L., Worrell, G.A., He, B.: Seizure source imaging by means of FINE spatio-temporal dipole localization and directed transfer function in partial epilepsy patients. Clin. Neurophysiol. 123(7), 1275–1283 (2012)

    Article  Google Scholar 

  18. Lutkepohl, H.: New Introduction to Multiple Time Series Analysis. Springer, New York (2005)

    Book  Google Scholar 

  19. Marple, S.L.: Digital Spectral Analysis with Applications. Prentice-Hall, San Diego (1987)

    Google Scholar 

  20. Moslonka–Lefebvre, M., Pautasso, M., Jeger, M.J.: Disease spread in small-size directed networks: epidemic threshold, correlation between links to and from nodes, and clustering. J. Theor. Biol. 260(3), 402–411 (2009)

    Google Scholar 

  21. Nerad, L., Bilkey, D.K.: Ten- to 12–Hz EEG oscillation in the rat hippocampus and rhinal cortex that is modulated by environmental familiarity. J. Neurophysiol. 93(3), 1246–1254 (2005)

    Article  Google Scholar 

  22. Sirven, J.I., Waterhouse, E.: Management of status epilepticus. Am. Fam. Physician. 68(3), 469–476 (2003)

    Google Scholar 

  23. Treiman, D.M., Delgado-Escueta, A.V.: Status epilepticus. In: Thompson, R.A., Green, J.R. (eds.) Critical Care of Neurological Emergencies, pp. 55–99. Raven Press, New York (1980)

    Google Scholar 

  24. Treiman, D., Walker, M.: Treatment of seizure emergencies: convulsive and non-convulsive status epilepticus. Epilepsy Res. 68(S1), 77–82 (2006)

    Article  Google Scholar 

  25. Treiman, D.M., Walton, N.Y., Kendrick, C.: A progressive sequence of electroencephalographic changes during generalized convulsive status epilepticus. Epilepsy Res. 5(1), 49–60 (1990)

    Article  Google Scholar 

  26. Treiman, D.M., Meyers, P.D., DVA Status Epilepticus Cooperative Study Group: Utility of the EEG pattern as a predictor of success in the treatment of generalized convulsive status epilepticus. Epilepsia 32(S3), 93 (1991)

    Google Scholar 

  27. Treiman, D.M., Meyers, P.D., Walton, N.Y., Collins, J.F., Colling C., Rowan, A.J., Handforth, A., Faught, E., Calabrese, V.P., Uthman, B.M., Ramsay, R.E., Mamdani M.B.: A comparison of four treatments for generalized convulsive status epilepticus. New England J. Med. 339(12), 792–798 (1998)

    Article  Google Scholar 

  28. Varotto, G., Visani, E., Canafoglia, L., Franceschetti, S., Avanzini, G., Panzica, F.: Enhanced frontocentral EEG connectivity in photosensitive generalized epilepsies: a partial directed coherence study. Epilepsia 53, 359–367 (2012)

    Article  Google Scholar 

  29. Vlachos, I., Krishnan, B., Sirven, J., Noe, K., Drazkowski, J., Iasemidis, L.: Frequency-based connectivity analysis of interictal iEEG to localize the epileptogenic focus. In: Proceedings of the 29th Southern Biomedical Engineering Conference, Miami (2013)

    Google Scholar 

  30. Walton, N.Y., Treiman, D.M.: Response of status epilepticus induced by lithium and pilocarpine to treatment with diazepam. Exp. Neurol. 101, 267–275 (1988)

    Article  Google Scholar 

  31. Yaffe, R., Burns, S., Gale, J., Park, H.J., Bulacio, J., Gonzalez-Martinez, J., Sarma, S.V.: Brain state evolution during seizure and under anesthesia: a network-based analysis of stereotaxic EEG activity in drug-resistant epilepsy patients. In: Proceedings of the 34th Annual International Conference of the IEEE Engineering in Medicine and Biology Society (EMBC), San Diego, 5158–5161 (2012)

    Google Scholar 

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Acknowledgment

This work was supported by the National Science Foundation grant ECCS-1102390.

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Authors and Affiliations

  1. Center Biomedical Engineering and Rehabilitation Science, Louisiana Tech University, 818 Nelson Avenue, 10157/BMEB227, Ruston, LA, 71272, USA

    Ioannis Vlachos & Leon D. Iasemidis

  2. The Harrington Department of Bioengineering, Arizona State University, Tempe, AZ, 85287, USA

    Aaron Faith

  3. Laboratory for Translational Epilepsy Research, Barrow Neurological Institute, Phoenix, AZ, 85013, USA

    Steven Marsh, Jamie White-James & David M. Treiman

  4. Department of Electrical Engineering, Arizona State University, Tempe, AZ, 85287, USA

    Kostantinos Tsakalis

Authors
  1. Ioannis Vlachos
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  2. Aaron Faith
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  3. Steven Marsh
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  4. Jamie White-James
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  5. Kostantinos Tsakalis
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  6. David M. Treiman
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  7. Leon D. Iasemidis
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Corresponding author

Correspondence to Ioannis Vlachos .

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Editors and Affiliations

  1. Department of Mathematics, National Technical University of Athens, Athens, Greece

    Themistocles M. Rassias

  2. Princeton University Dept. Chemical Engineering, Princeton, New Jersey, USA

    Christodoulos A. Floudas

  3. Dept. Industrial & Systems Engineering, Texas A&M University, College Station, Texas, USA

    Sergiy Butenko

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Vlachos, I. et al. (2014). Brain Network Characteristics in Status Epilepticus. In: Rassias, T., Floudas, C., Butenko, S. (eds) Optimization in Science and Engineering. Springer, New York, NY. https://doi.org/10.1007/978-1-4939-0808-0_25

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