Physical Review Letters · 2007 · 60 citations · 22 references
MedicineNeurologyNeuroscienceEpilepsyNeurophysiologyStochastic ProcessesElectroencephalographyElectroencephalography In EpilepsyElectrophysiological ModelingNeuronal DynamicsStatistical MechanicsStochastic Differential EquationsElectroencephalogram ModelingElectrophysiological RecordingsEpilepsy DiagnosisFokker - Planck EquationFokker-planck EquationsFokker-planck TheoryStatistical Signal ModelingStochastic Neural Dynamics
We evaluate the capability of reconstructing Fokker-Planck equations for an improved characterization of electroencephalographic (EEG) recordings from epilepsy patients. We derive stochastic qualifiers of brain dynamics that are based on specific characteristics of the Kramers-Moyal coefficients estimated from the EEG. Analyzing long-lasting multichannel EEG recordings from eight patients suffering from focal epilepsies we show that particularly the stochastic part of the dynamics can yield valuable information for diagnostic purposes.
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<i>Stochastic Processes in Physics and Chemistry</i>
N. G. van Kampen, William P. Reinhardt · Physics Today · 1983 · 1.1K citations
Natural Sciences, Chemistry, Physics +12
Stochastic processes: Time evolution, symmetries and linear response
Peter Hänggi, H. Thomas · Physics Reports · 1982 · 660 citations · Full text
Engineering, Mathematics, Physics +16
A New Representation for Stochastic Integrals and Equations
R. L. Stratonovich · SIAM Journal on Control · 1966 · 588 citations
Engineering, Mathematics, Physics +14
Analysis of data sets of stochastic systems
Silke Siegert, R. Friedrich, Joachim Peinke · Physics Letters A · 1998 · 294 citations · Full text