INTRODUCTION TO COMPUTATIONAL CARDIOLOGY. MATHEMATICAL MODELING AND COMPUTER SIMULATION

About this book

• Includes models used in both biology and medicine to find the mechanisms of function and malfunction of living organisms and its organs on different levels
• Covers the Theory of Stationary Spiral Wave Propagation

The textbook Introduction to Computational Cardiology provides a comprehensive, in-depth treatment of the fundamental concepts and research challenges involved in the mathematical modeling and computer simulation of electrophysiological heart processes, under normal and pathological conditions. This book is based on the author’s lecture notes from his course Introduction to Computational Cardiology, and also covers results of his students' research activity in the US and USSR over the last 30-35 years.

Exercises and examples are included throughout this textbook, with electronic access to a solutions manual.

Introduction to Computational Cardiology serves as a textbook for advanced-level students in computer science and biomedical engineering; it is also suitable for researchers and practitioners in industry.

Written for: Researchers and graduate-level students; professionals

Keywords:

• Cardiology
• Computational
• Introduction
• Kogan

Table of contents

Preface.- List of Abbreviations.- Introduction.- Basic Concepts of Mathematical Modeling and Computer Simulation.- Electrophysiological Background.- Basic Concepts of Mathematical Modeling of Action Potential Generation and Propagation Based on HH Formalism.- Action Potential Models of the First Generation.- Simplified Mathematical Models of Cardiac Action Potential.- Action Potential Mathematical Models of Second Generation.- Computer Implementation of the Mathematical Models for Action Potential Generation and Propagation.- Action Potential Propagation in a Mathematical Model of One-Dimensional Cardiac Tissue.- Elements of the Traveling Wave Theory.- Theory of Stationary Spiral Wave Propagation.- Wave Propagation through Narrow Passes.- Computer Simulations of the Transition from Stationary to Non-Stationary Spiral Wave Propagation and Wave Front Breakup.- Wave Propagation in the Models of Three-Dimensional Cardiac Tissue.- Conclusion.- References.- Index.