Detection and evaluation of events in EEG dynamics in post-surgery patients with physiological-based mathematical models

As part of the new directions for vision and mission of Europe, patient well-being and healthcare become core features of a modern and prosperous society. That is, healthcare costs are optimized towards patient benefit and sideways effects such as cost-related reduction in medication, in frequency of post-operatory interventions, in recovery times and in comorbidity risk. In this paper, we address the incidence of events related to stroke, epileptic seizures and tools to possibly predict their presence from Electroencephalography (EEG) signal acquired in post-surgery patients. Wavelet analysis and spectrogram indicate graphically changes in the energy content of the EEG signal. Physiologically based neuronal dynamic pathway is used to derive fractional order impedance models. Nonlinear least squares identification technique is used to identify model parameters, with results suggesting parameter redundancy. There is a significant difference in model parameter values between EEG signal with/-out events.

[1]  Richard Magin,et al.  Can Cybernetics and Fractional Calculus Be Partners?: Searching for New Ways to Solve Complex Problems , 2018, IEEE Systems, Man, and Cybernetics Magazine.

[2]  Witold Kosiński,et al.  Viscoelasticity and fractal structure in a model of human lungs , 2010 .

[3]  Elisa Francomano,et al.  Electrical analogous in viscoelasticity , 2014, Commun. Nonlinear Sci. Numer. Simul..

[4]  Clara M. Ionescu,et al.  Phase Constancy in a Ladder Model of Neural Dynamics , 2012, IEEE Transactions on Systems, Man, and Cybernetics - Part A: Systems and Humans.

[5]  L. Csiba,et al.  The Mureş–Uzhgorod–Debrecen study: a comparison of hospital stroke services in Central‐Eastern Europe , 2002, European journal of neurology.

[6]  Clara-Mihaela Ionescu,et al.  The role of fractional calculus in modeling biological phenomena: A review , 2017, Commun. Nonlinear Sci. Numer. Simul..

[7]  A. Oustaloup Diversity and Non-Integer Differentiation for System Dynamics: Oustaloup/Diversity and Non-Integer Differentiation for System Dynamics , 2014 .

[8]  A. Sagan,et al.  Romania: Health System Review. , 2016, Health systems in transition.

[9]  R. Magin,et al.  Data-driven modelling of drug tissue trapping using anomalous kinetics , 2017 .

[10]  J. Kelly,et al.  Fractal ladder models and power law wave equations. , 2009, The Journal of the Acoustical Society of America.

[11]  Toshihiro Ishibashi,et al.  Development of the PHASES score for prediction of risk of rupture of intracranial aneurysms: a pooled analysis of six prospective cohort studies , 2014, The Lancet Neurology.

[12]  Ramon Luengo-Fernandez,et al.  European Cardiovascular Disease Statistics 2017 , 2012 .

[13]  A. Gelb,et al.  Cerebral ischemia during surgery: an overview , 2016, Journal of biomedical research.

[14]  G. Y. Wong,et al.  Risk of Surgery and Anesthesia for Ischemic Stroke , 2000, Anesthesiology.

[15]  Robin De Keyser,et al.  Modeling of the Lung Impedance Using a Fractional-Order Ladder Network With Constant Phase Elements , 2011, IEEE Transactions on Biomedical Circuits and Systems.

[16]  Richard Magin,et al.  Fractional kinetics in multi-compartmental systems , 2010, Journal of Pharmacokinetics and Pharmacodynamics.

[17]  Rik Pintelon,et al.  System Identification: A Frequency Domain Approach , 2012 .

[18]  Clara-Mihaela Ionescu,et al.  A memory-based model for blood viscosity , 2017, Commun. Nonlinear Sci. Numer. Simul..

[19]  H. Schiessel,et al.  Mesoscopic Pictures of the Sol-Gel Transition: Ladder Models and Fractal Networks , 1995 .

[20]  James F. Kelly,et al.  Fractional calculus for respiratory mechanics: Power law impedance, viscoelasticity, and tissue heterogeneity , 2017 .

[21]  Wei Zhang,et al.  Fractional time-dependent Bingham model for muddy clay , 2012 .