title: Physics of brain dynamics: Fokker-Planck analysis reveals changes in EEG delta and theta activity during anaesthesia.
abstract: We use drift and diffusion coefficients to reveal interactions between different oscillatory processes underlying a complex signal and apply the method to EEG delta and theta frequencies in the brain. By analysis of data recorded from rats during anaesthesia we consider the stability and basins of attraction of fixed points in the phase portrait of the deterministic part of the retrieved stochastic process. We show that different classes of dynamics are associated with deep and light anaesthesia, and we demonstrate that the predominant directionality of the interaction is such that theta drives delta.
authors.affiliation: Department of Physics, Lancaster University, Lancaster LA1 4YB, UK, a.bahraminasab@lancaster.ac.uk ; aneta@lancaster.ac.uk ; p.v.e.mcclintock@lancaster.ac.uk.
authors.forename: A
authors.initials: A
authors.lastname: Bahraminasab
authors.forename: F
authors.initials: F
authors.lastname: Ghasemi
authors.forename: A
authors.initials: A
authors.lastname: Stefanovska
authors.forename: P V E
authors.initials: PV
authors.lastname: McClintock
authors.forename: R
authors.initials: R
authors.lastname: Friedrich
references.citation: Brain Res Brain Res Rev. 2002 Jun;39(1):1-28
references.pmid: 12086706
references.citation: Phys Rev Lett. 2009 Mar 6;102(9):098701
references.pmid: 19392568
references.citation: Phys Rev Lett. 2000 Jul 10;85(2):461-4
references.pmid: 10991308
references.citation: Phys Rev E Stat Nonlin Soft Matter Phys. 2003 Jul;68(1 Pt 2):016201
references.pmid: 12935219
references.citation: Conscious Cogn. 2000 Sep;9(3):370-86
references.pmid: 10993665
references.citation: Phys Rev Lett. 2002 Sep 30;89(14):149401; author reply 149402
references.pmid: 12366083
references.citation: Phys Rev Lett. 2007 Mar 30;98(13):138103
references.pmid: 17501243
references.citation: Phys Rev E Stat Nonlin Soft Matter Phys. 2007 Sep;76(3 Pt 2):036211
references.pmid: 17930327
references.citation: J Physiol. 2007 Apr 1;580(Pt 1):315-26
references.pmid: 17234691
references.citation: Phys Rev Lett. 2000 May 29;84(22):5224-7
references.pmid: 10990908
references.citation: Exp Neurol. 1998 Mar;150(1):115-21
references.pmid: 9514823
references.citation: Phys Rev Lett. 2001 Dec 17;87(25):254501
references.pmid: 11736582
references.citation: Phys Rev E Stat Nonlin Soft Matter Phys. 2004 Oct;70(4 Pt 2):046213
references.pmid: 15600501
references.citation: Biosystems. 2001 Feb;59(2):109-23
references.pmid: 11267739
references.citation: Science. 2008 Nov 7;322(5903):876-80
references.pmid: 18988836
references.citation: Phys Rev E Stat Nonlin Soft Matter Phys. 2008 Apr;77(4 Pt 1):041914
references.pmid: 18517663
references.citation: Phys Rev E Stat Nonlin Soft Matter Phys. 2003 May;67(5 Pt 2):055201
references.pmid: 12786211
references.citation: Nat Rev Neurosci. 2004 Sep;5(9):709-20
references.pmid: 15322529
references.citation: Phys Rev Lett. 2005 Mar 11;94(9):098101
references.pmid: 15784004