Mathematically Modelling The Electrical Activity Of The Heart From Cell To Body Surface And Back Again

This book on modelling the electrical activity of the heart is an attempt to describe continuum based modelling of cardiac electrical activity from the cell level to the body surface (the forward problem), and back again (the inverse problem). Background anatomy and physiology is covered briefly to provide a suitable context for understanding the detailed modelling that is presented herein. The questions of what is mathematical modelling and why one would want to use mathematical modelling are addressed to give some perspective to the philosophy behind our approach. Our view of mathematical modelling is broad ? it is not simply about obtaining a solution to a set of mathematical equations, but includes some material on aspects such as experimental and clinical validation.

Research into gastrointestinal motility has received renewed interest in part due to recent advances in the techniques for measuring the structure and function of gastrointestinal cells, tissue and organs. The integration of this wealth of data into biophysically based computation models can aid in interpretation of experimental and clinical measurements and the refinement of measurement techniques. The contents of this book span multiple scales - from cell, tissue, organ, to whole body and is divided into four broad sections covering: i) gastrointestinal cellular activity and tissue structure; (ii) techniques for measuring, analyzing and visualizing high-resolution extra-cellular recordings; (iii) methods for sensing gastroelectrical activity using non-invasive bio-electro-magnetic fields and for modulating the underlying gastric electrical activity and finally (iv) methods for assessing manometric and videographic motility patterns and the application of these data for predicting the flow and mixing behavior of luminal contents by using computational fluid dynamic techniques. This book aims to provide both an overview of historical and existing research techniques as well as to highlight future directions and challenges for the community as a whole. It will be suitable for clinicians to understand the cellular and biophysical underpinnings of gastric emptying, gastroenterologists, surgeons, bioengineers and all scientists with interests in gastrointestinal motility research.

This book constitutes the refereed proceedings of the 5th International Conference on Functional Imaging and Modeling of the Heart, FIMH 2009, held in Nice, France in June 2009. The 54 revised full papers presented were carefully reviewed and selected from numerous submissions. The contributions cover topics such as cardiac imaging and electrophysiology, cardiac architecture imaging and analysis, cardiac imaging, cardiac electrophysiology, cardiac motion estimation, cardiac mechanics, cardiac image analysis, cardiac biophysical simulation, cardiac research platforms, and cardiac anatomical and functional imaging.

This book offers a mathematical update of the state of the art of the research in the field of mathematical and numerical models of the circulatory system. It is structured into different chapters, written by outstanding experts in the field. Many fundamental issues are considered, such as: the mathematical representation of vascular geometries extracted from medical images, modelling blood rheology and the complex multilayer structure of the vascular tissue, and its possible pathologies, the mechanical and chemical interaction between blood and vascular walls, and the different scales coupling local and systemic dynamics. All of these topics introduce challenging mathematical and numerical problems, demanding for advanced analysis and efficient simulation techniques, and pay constant attention to applications of relevant clinical interest. This book is addressed to graduate students and researchers in the field of bioengineering, applied mathematics and medicine, wishing to engage themselves in the fascinating task of modeling the cardiovascular system or, more broadly, physiological flows.

This book constitutes the refereed proceedings of the 4th International Conference on Functional Imaging and Modeling of the Heart, FIMH 2007, held in Salt Lake City, UT, USA in June 2007. The contributions describe both experimental and computational studies and cover topics such as imaging and image analysis, cardiac electrophysiology, electro- and magnetocardiography, cardiac mechanics and clinical application, imaging and anatomical modeling.

The updated and expanded second edition of this book presents a contemporary review of the basic science, engineering technology, and clinical practice of cardiac bioelectric therapy. It covers the rapidly expanding technological development of pacemakers and defibrillators as well as ablative therapy, electrophysiological mapping, and other clinical diagnostic and therapeutic breakthroughs. The book highlights many different aspects of bioelectric therapy, including history, biophysical and computational concepts, basic electrophysiology studies, engineering technology advances, and clinical perspectives. In this revised edition, leading clinical and basic electrophysiologists share their perspectives on the science behind the mechanisms of cardiac arrhythmias; breakthrough technologies for scientific and clinical investigation of heart rhythm disorders; theoretical conceptualization of arrhythmias and treatment using state-of-the-art computational approaches; and novel approaches to treatment of cardiac arrhythmias using implantable devices, percutaneous ablation therapies, machine learning, and other approaches. The Second Edition of Cardiac Bioelectric Therapy is an essential resource for physicians, residents, fellows, and graduate students in clinical cardiac electrophysiology, cardiology, and cardiac surgery as well as researchers, professionals, and students in biomedical, mechanical, and electrical engineering.

These are the proceedings of the 22nd International Conference on Domain Decomposition Methods, which was held in Lugano, Switzerland. With 172 participants from over 24 countries, this conference continued a long-standing tradition of internationally oriented meetings on Domain Decomposition Methods. The book features a well-balanced mix of established and new topics, such as the manifold theory of Schwarz Methods, Isogeometric Analysis, Discontinuous Galerkin Methods, exploitation of modern HPC architectures and industrial applications. As the conference program reflects, the growing capabilities in terms of theory and available hardware allow increasingly complex non-linear and multi-physics simulations, confirming the tremendous potential and flexibility of the domain decomposition concept.