Full Description
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 the course material. This is an ideal textbook for graduate students in biomedical engineering departments, researchers who analyze physiological data, and researchers interested in physiological modeling.
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.
