By Metin Akay
That includes present contributions through specialists in sign processing and biomedical engineering, this booklet introduces the techniques, contemporary advances, and implementations of nonlinear dynamic research tools. including quantity I during this sequence, this publication offers accomplished assurance of nonlinear sign and picture processing strategies. Nonlinear Biomedical sign Processing: quantity II combines analytical and organic services within the unique mathematical simulation and modeling of physiological structures. exact discussions of the research of steady-state and dynamic platforms, discrete-time method thought, and discrete modeling of continuous-time platforms are supplied. Biomedical examples comprise the research of the breathing keep watch over approach, the dynamics of cardiac muscle and the cardiorespiratory functionality, and neural firing styles in auditory and imaginative and prescient structures.
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Extra info for Nonlinear Biomedical Signal Processing - Dynamic Analysis and Modeling, Volume II
Current parameters demonstrate chaotic behavior of the oscillator. O; Chapter 1 Nonlinear Dynamics Time Series Analysis 32 define equations sp(l)=s(2)i sp(2)=mu*(l-s(l)*2)*~(2)-~(1)^3+f*cos(s(3) ); sp(3)=omega; f o r i=l:n sp (n*i+l)= s (n*i+2) ; % ... sp(n*i+2)=(-2*mu*s(l)*s(2)-3*s(l)*2)*s(n*i+l)+ mu*(l-s(1)^2)*s(n*i+2)+f*s(n*i+3); sp (n*i+3)=O; end % transpose into column vector f o r ODE solver sp=sp' i function [ReNormMatrixl=GramSchmidt(Matrix) % % % % % % % % % Computeasetofnormal-orthogonalvectorsusingtheGram-Schmidtalgorithm.
24] H. G. E. Hentschel and I. Procaccia, The infinite number of generalized dimensions of fractals and strange attractors. Physica D k435-444, 1983.  J. Kaplan and J. Yorke, Functional differential equations and the approximation of fixed points. In Lecture Notes in Mathematics, No. 730. Berlin: Springer-Verlag, 1979.  P. Grassberger and I. Procaccia, Characterization of strange attractors. Phys. Rev. Lett. 50:34&349, 1983. Lond. A 427:241 D. Ruelle, Deterministic chaos: The science and the fiction.
During artificial heart circulation, the natural heart was fibrillated by electrical stimulation and systemic and pulmonary circulation was maintained with a biventricular assist pump. Ventricular assist devices used in this experiment were designed for human clinical use and pneumatically driven by a console outside the body of the experimental animals. During the recording of the time series data of the artificial heart circulation, the driving condition of the artificial heart was fixed; thus, there were no fluctuations in driving rhythm and contraction power and we could observe the circulation without fluctuations of the natural heartbeat.
Nonlinear Biomedical Signal Processing - Dynamic Analysis and Modeling, Volume II by Metin Akay