Fundamentals of Chaos and Fractals for Cardiology /

This textbook serves as an introduction to nonlinear dynamics and fractals for physiological modeling. Examples and demonstrations from current research in cardiopulmonary engineering and neuro-systems engineering are provided, as well as lab and computer exercises that encourage readers to apply th...

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Bibliographic Details
Main Author:	Drzewiecki, Gary (Author)
Corporate Author:	SpringerLink (Online service)
Format:	eBook
Language:	English
Published:	Cham : Springer International Publishing : Imprint: Springer, 2021.
Edition:	1st ed. 2021.
Subjects:	Biomedical engineering. Biomathematics. Dynamical systems. Biophysics. Biomedical Engineering and Bioengineering. Mathematical and Computational Biology. Dynamical Systems. Electronic books.
Online Access:	Connect to the full text of this electronic book

Table of Contents:

Introduction
Part 1 - Nonlinear Dynamics
Topics in Nonlinear Biodynamics
Bifurcation Mapping and Chaos
Identifying Chaos
Controlling Chaos
Nonlinear Cardiology
Part 2 -Fractals
Fractal Geometry
Fractal Time and Noise
Biomedical Signal Analysis and Fractal Time
Deterministic fractals
Fractals and the Cardiovascular System
Recurrence and the Embedding Dimension
Part 3 - Applications
Nonlinear Flow Dynamics and Chaos in a Flexible Vessel Model
The origin of heart rate variation using a Nonlinear modeling approach
Nonlinear Oscillator Circuit Model
Index.