Computational Cardiology: Modeling of Anatomy, Electrophysiology, and Mechanics (Lecture Notes in Computer Science (2966))

This book is devoted to computer-based modeling in cardiology, by taking an educational point of view, and by summarizing knowledge from several, commonly considered delimited areas of cardiac research in a consistent way. First, the foundations and numerical techniques from mathematics are provided, with a particular focus on the finite element and finite differences methods. Then, the theory of electric fields and continuum mechanics is introduced with respect to numerical calculations in anisotropic biological media. In addition to the presentation of digital image processing techniques, the following chapters deal with particular aspects of cardiac modeling: cardiac anatomy, cardiac electro physiology, cardiac mechanics, modeling of cardiac electro mechanics. This book was written for researchers in modeling and cardiology, for clinical cardiologists, and for advanced students. This book introduces a wide range of Computational Fluid Dynamics (CFD) methods used in the aerospace industry to solve engineering problems. Its format is arranged so that students and practicing engineers can understand the fundamental principles used in CFD, with sample computer programs for the solution of model problems. It begins with the conservation equations of fluid mechanics, including those relevant to turbulence models and continues with descriptions of numerical methods for the solution of parabolic, elliptic and hyperbolic forms. The methods are then applied in detail to solve equations for inviscid incompressible flows, boundary-layer flows, stability and transition calculations, inviscid compressible flows, and incompressible viscous flows and compressible viscous flows. A chapter is devoted to grid generation techniques for structured and unstructured grid methods, which are an integral part of modern CFD methods. The emphasis is on two-dimensional equations in order to present the material in a modest sized book. Source codes for selected problems are given so that the reader can understand how those methods are implemented in FORTRAN and C languages, while exercises provide more hands-on experience Front Matter....Pages - 1. Introduction....Pages 1-4 2. Mathematical and Numerical Foundation....Pages 5-48 3. Theory of Electric Fields....Pages 49-67 4. Theory of Continuum Mechanics....Pages 69-90 5. Digital Image Processing....Pages 91-118 6. Cardiac Anatomy....Pages 119-155 7. Cardiac Electrophysiology....Pages 157-219 8. Cardiac Mechanics....Pages 221-266 9. Modeling of Cardiac Electro-Mechanics....Pages 267-289 Appendix....Pages 291-298 References....Pages 299-322 Index....Pages 323-327 Back Matter....Pages - "This book was written for researchers in modeling and cardiology, for clinical cardiologists, and for advanced students."--Jacket