Ebook: Computing the Electrical Activity in the Heart
- Tags: Computational Science and Engineering, Cardiology, Appl.Mathematics/Computational Methods of Engineering, Physiological Cellular and Medical Topics, Mathematical Modeling and Industrial Mathematics, Computer Appl. in Life Sciences
- Series: Monographs in Computational Science and Engineering 1
- Year: 2006
- Publisher: Springer-Verlag Berlin Heidelberg
- Edition: 1
- Language: English
- pdf
This book describes mathematical models and numerical techniques for simulating the electrical activity in the heart. The book gives an introduction to the most important models of the field, followed by a detailed description of numerical techniques for the models. Particular focus is on efficient numerical methods for large scale simulations on both scalar and parallel computers. The results presented in the book will be of particular interest to researchers in bioengineering and computational biology, who face the challenge of solving these complex mathematical models efficiently. The book will also serve as a valuable introduction to a new and exciting field for computational scientists and applied mathematicians.
This book describes mathematical models and numerical techniques for simulating the electrical activity in the heart. The book gives an introduction to the most important models of the field, followed by a detailed description of numerical techniques for the models. Particular focus is on efficient numerical methods for large scale simulations on both scalar and parallel computers. The results presented in the book will be of particular interest to researchers in bioengineering and computational biology, who face the challenge of solving these complex mathematical models efficiently. The book will also serve as a valuable introduction to a new and exciting field for computational scientists and applied mathematicians.
This book describes mathematical models and numerical techniques for simulating the electrical activity in the heart. The book gives an introduction to the most important models of the field, followed by a detailed description of numerical techniques for the models. Particular focus is on efficient numerical methods for large scale simulations on both scalar and parallel computers. The results presented in the book will be of particular interest to researchers in bioengineering and computational biology, who face the challenge of solving these complex mathematical models efficiently. The book will also serve as a valuable introduction to a new and exciting field for computational scientists and applied mathematicians.
Content:
Front Matter....Pages I-XI
Physiological Background....Pages 1-19
Mathematical Models....Pages 21-56
Computational Models....Pages 57-97
Solving Linear Systems....Pages 99-147
Solving Systems of ODEs....Pages 149-173
Large-Scale Electrocardiac Simulations....Pages 175-218
Inverse Problems....Pages 219-285
Back Matter....Pages 287-317
This book describes mathematical models and numerical techniques for simulating the electrical activity in the heart. The book gives an introduction to the most important models of the field, followed by a detailed description of numerical techniques for the models. Particular focus is on efficient numerical methods for large scale simulations on both scalar and parallel computers. The results presented in the book will be of particular interest to researchers in bioengineering and computational biology, who face the challenge of solving these complex mathematical models efficiently. The book will also serve as a valuable introduction to a new and exciting field for computational scientists and applied mathematicians.
Content:
Front Matter....Pages I-XI
Physiological Background....Pages 1-19
Mathematical Models....Pages 21-56
Computational Models....Pages 57-97
Solving Linear Systems....Pages 99-147
Solving Systems of ODEs....Pages 149-173
Large-Scale Electrocardiac Simulations....Pages 175-218
Inverse Problems....Pages 219-285
Back Matter....Pages 287-317
....