Main 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