The mesoscopic modelling of burst suppression during anaesthesia

Frontiers in Computational Neuroscience

Volumn , Issue APR 2013, 2013, Pages

  Liley, David T J ^a   Walsh, Matthew ^a  

^a SWINBURNE UNIVERSITY OF TECHNOLOGY   (Australia)

Author keywords

Anesthesia; Burst suppression; Electroencephalogram; Mean field model; Neuronal hyperexcitability

Indexed keywords

ANESTHESIA; BURST SUPPRESSION; BURST-SUPPRESSION PATTERN; ELECTRO-ENCEPHALOGRAM (EEG); MEAN FIELD MODELS; NEURONAL HYPEREXCITABILITY; PHYSIOLOGICAL MECHANISMS; THEORETICAL FRAMEWORK;

ANESTHESIOLOGY; MAMMALS; MEAN FIELD THEORY; NEURONS; PHYSIOLOGY; TIME MEASUREMENT;

ELECTROENCEPHALOGRAPHY;

ACTION POTENTIAL; ANESTHESIA; ARTICLE; BEHAVIOR; BRAIN CORTEX; BRAIN NERVE CELL; BURST SUPPRESSION; CELL LEVEL; CONCEPTUAL FRAMEWORK; CONSCIOUSNESS; CONTROLLED STUDY; ELECTROENCEPHALOGRAM; HUMAN; MEAN FIELD MODEL; NERVE EXCITABILITY; NEUROMODULATION; NEURONAL HYPEREXCITABILITY; SIMULATION; STATISTICAL MODEL; SUBCORTEX; THALAMUS;

EID: 84876006878     PISSN: 16625188     EISSN: None     Source Type: Journal    
DOI: 10.3389/fncom.2013.00046     Document Type: Article

References (48)

1. W. P. Akrawi, J. C. Drummond, C. J. Kalkman, and P. M. Patel. A comparison of the electrophysiologic characteristics of eeg burst-suppression as produced by isourane, thiopental, etomidate, and propofol. J. Neurosurg. Anesthesiol., 8:40-46, 1996.
2. S-I Amari. Homogeneous nets of neuron-like elements. Biol. Cybern., 17:211-220, 1975.
3. D. S. An, D. Straumann, and H. G. Wieser. 'One-way asynchrony' of burstsuppression activity. Neurophysiol Clin, 26(5):329-334, 1996.
4. M. I. Banks and R. A. Pearce. Dual actions of volatile anesthetics on GABA(A) IPSCs: dissociation of blocking and prolonging effects. Anesthesiology, 90(1):120-134, Jan 1999.
5. I. Bojak and D. T. J. Liley. Modeling the effects of anesthesia on the electroencephalogram. Phys. Rev. E, 71:041902, 2005.
6. I. Bojak and D.T.J. Liley. Modeling the effects of anesthesia on the electroencephalogram. Phys. Rev. E, 71:041902, 2005.
7. R. P. Brenner. The electroencephalogram in altered states of consciousness. Neurol. Clin., 3(3):615-631, Aug 1985.
8. S. Ching, P. L. Purdon, S. Vijayan, N. J. Kopell, and E. N. Brown. A neurophysiological-metabolic model for burst suppression. Proc. Natl. Acad. Sci. U.S.A., 109(8):3095-3100, Feb 2012.
9. S.D. Cohen and A.C. Hindmarsh. Cvode user guide. Technical report, Lawrence Livermore National Laboratory, 1994.
10. G.R. Deco, V.K. Jirsa, P.A. Robinson, M. Breakspear, and K.J. Friston. The dynamic brain: From spiking neurons to neural masses and cortical fields. PLoS Com-put. Biol., 4:e1000092, 2008.
11. A. J. Derbyshire, B. Rempel, A. Forbes, and E. F. Lambert. The effects of anesthetics on action potentials in the cerebral cortex of the cat. Am. J. Physiol., 116(3):577-596, 1936.
12. B. Ermentrout. Simulating, analyzing and animating dynamical systems: A guide to XPPAUT for researchers and students. SIAM, 2002.
13. J. F. Ferron, D. Kroeger, O. Chever, and F. Amzica. Cortical inhibition during burst suppression induced with isourane anesthesia. J. Neurosci., 29(31):9850-9860, Aug 2009.
14. M. Fischer-Williams and R.A. Cooper. Depth recording from the human brain in epilepsy. Electroencephalogr. Clin. Neurophysiol., 15(4):568-587, 1963.
15. F. Frascoli, L. van Veen, I. Bojak, and D.T.J. Liley. Metabifurcation analysis of a mean field model of the cortex. Physica D, 240:949-62, 2011.
16. W.J. Freeman. Mass action in the nervous system: Examination of the neurophysiological basis of adaptive behavior through the EEG. Academic Press, New York, 1st edition, 1975. also electronic edn.: http://sulcus.berkeley.edu/MANSWWW/MANSWWW.html, 2004.
17. R.G. Geocadin, D.L. Sherman, H.C. Hansen, T. Kimura, E. Niedermeyer, N.V. Thakor, and D.F. Hanley. Neurological recovery by eeg bursting after resuscitation from cardiac arrest in rats. Resuscitation, 55(2):193-200, 2002.
18. M.M. Grigg-Damberger, S.B. Coker, C.L. Halsey, and C.L. Anderson. Neonatal burst suppression: Its developmental significance. Pediatr. Neurol., 5(2):84-92, 1989.
19. K. M. Hartikainen, M. Rorarius, J. J. Perakyla, P. J. Laippala, and V. Jantti. Cortical reactivity during isourane burst-suppression anesthesia. Anesth. Analg., 81(6):1223-1228, Dec 1995.
20. C.E. Henry and W.B. Scoville. Suppression-burst activity from isolated cerebral cortex in man. Electroencephalogr. Clin. Neurophysiol., 4(1):1-22, 1952.
21. J. M. Hockaday, F. Potts, E. Epstein, A. Bonazzi, and R. S. Schwab. Electroencephalographic changes in acute cerebral anoxia from cardiac or respiratory arrest. Electroencephalogr. Clin. Neurophysiol., 18:575-586, May 1965.
22. E. M Izhikevich. Neural excitability, spiking, and bursting. Int. J. Bifurc. Chaos, 10:1171-1266, 2000.
23. E.M. Izhikevich. Dynamical systems in neuroscience: The geometry of excitability and bursting. The MIT Press, Cambridge, MA, 2007.
24. K. K. Kaisti, J. W. Langsjo, S. Aalto, V. Oikonen, H. Sipila, M. Teras, S. Hinkka, L. Metsahonkala, and H. Scheinin. Effects of sevourane, propofol, and adjunct nitrous oxide on regional cerebral blood ow, oxygen consumption, and blood volume in humans. Anesthesiology, 99(3):603-613, Sep 2003.
25. D. Kroeger and F. Amzica. Hypersensitivity of the anesthesia-induced comatose brain. J. Neurosci., 27(39):10597-10607, Sep 2007.
26. D. T. J. Liley and I. Bojak. Understanding the transition to seizure by modeling the epileptiform activity of general anesthetic agents. J. Clin. Neurophysiol., 22(5):300-313, Oct 2005.
27. D.T.J. Liley, P.J. Cadusch, and M.P. Dafflis. A spatially continuous mean field theory of electrocortical activity. Netw.: Comput. Neural Syst., 13:67-113, 2002.
28. D.T.J. Liley, P.J. Cadusch, and J.J. Wright. A continuum theory of electro-cortical activity. Neurocomputing, 26-27:795-800, 1999.
29. D.T.J. Liley, B.L. Foster, and I. Bojak. A mesoscopic modelling approach to characterising anaesthetic action on brain electrical activity. In A Hutt, editor, Sleep and Anesthesia: Neural Correlates in Theory and Experiment, Springer Series in Computational Neuroscience, pages 139-66. Springer, 2011.
30. H. S. Lukatch and M. B. MacIver. Synaptic mechanisms of thiopental-induced alterations in synchronized cortical activity. Anesthesiology, 84(6):1425-1434, Jun 1996.
31. E. Niedermeyer. Epileptic seizure disorders. In E. Niedermeyer and F.H. Lopes da Silva, editors, Electroencephalography: Basic Principles, Clinical Applications, and Related Fields, pages 505-619. Lippincott, Philadelphia, 5th edition, 2005.
32. E. Niedermeyer. The burst-suppression electroencephalogram. Am. J. Electroneu-rodiagnostic. Technol., 49(4):333-341, Dec 2009.
33. P.L. Nunez. The brain wave equation: A model for the EEG. Math. Biosci., 21:279-297, 1974.
34. P. L Nunez and R. Srinivasan. Electric Fields of the Brain: The Neurophysics of EEG. Oxford University Press, New York, 2nd edition, 2005.
35. C. J Rennie, P.A. Robinson, and J.J. Wright. Unified neurophysical model of EEG spectra and evoked potentials. Biol. Cybern., 86:457-471, 2002.
36. S. Rex, W. Schaefer, P. H. Meyer, R. Rossaint, C. Boy, K. Setani, U. Bull, and J. H. Baumert. Positron emission tomography study of regional cerebral metabolism during general anesthesia with xenon in humans. Anesthesiology, 105(5):936-943, Nov 2006.
37. J. Rinzel. Bursting oscillations in an excitable membrane model. In B. D Sleeman and R.J. Jarvis, editors, Ordinary and Partial Differential Equations: Proceedings of the 8th Dundee Conference, number 1151 in Lecture Notes in Mathematics, pages 304-316, Berlin, 1985. Springer.
38. A.E. Schwartz, R.H. Tuttle, and P.J. Poppers. Electroencephalographic burst suppression in elderly and young patients anesthetized with isourane. Anesth. Analg., 68(1):9-12, 1989.
39. M. Steriade, F. Amzica, and D. Contreras. Cortical and thalamic cellular correlates of electroencephalographic burst-suppression. Electroencephalogr Clin Neurophysiol, 90(1):1-16, Jan 1994.
40. R.L. Swank and C.W. Watson. Effects of barbiturates and ether on spontaneous electrical activity of dog brain. J. Neurophysiol., 12(2):137-160, 1949.
41. N.V. Swindale. Neural synchrony, axonal path lengths and general anesthesia: a hypothesis. Neuroscientist, 9:440-445, 2003.
42. J. Tabak and J. Rinzel. Bursting in excitatory neural networks. In S. Coombes and P.C. Bressloff, editors, Bursting: The genesis of rhythm in the nervous system, pages 273-301. World Scientific, 2005.
43. D.M. Treiman, N.Y. Walton, and C. Kendrick. A progressive sequence of electroencephalographic changes during generalized convulsive status epilepticus. Epilepsy Res., 5(1):49-60, 1990.
44. M. V. Tsodyks and H. Markram. The neural code between neocortical pyramidal neurons depends on neurotransmitter release probability. Proc. Natl. Acad. Sci. U.S.A., 94(2):719-723, Jan 1997.
45. L. J. Voss, G. Ludbrook, C. Grant, J. W. Sleigh, and J. P. Barnard. Cerebral cortical effects of desurane in sheep: comparison with isourane, sevourane and enurane. Acta Anaesthesiol Scand, 50(3):313-319, Mar 2006.
46. S. G. Waxman. Determinants of conduction velocity in myelinated nerve fibers. Muscle Nerve, 3(2):141-150, 1980.
47. H.R. Wilson and J.D. Cowan. Excitatory and inhibitory interactions in localized populations of model neuron. Biophys. J., 12:1-24, 1972.
48. H.R. Wilson and J.D. Cowan. A mathematical theory of the functional dynamics of cortical and thalamic nervous tissue. Kybernetik, 13:55-80, 1973.