E-grāmata: Mathematical Foundations and Biomechanics of the Digestive System

"Mathematical modelling of physiological systems promises to advance our understanding of complex biological phenomena and pathophysiology of diseases. In this book, the authors adopt a mathematical approach to characterize and explain the functioning of the gastrointestinal system. Using the mathematical foundations of thin shell theory, the authors patiently and comprehensively guide the reader through the fundamental theoretical concepts, via step-by-step derivations and mathematical exercises, from basic theory to complex physiological models. Applications to nonlinear problems related to the biomechanics of abdominal viscera and the theoretical limitations are discussed. Special attention is given to questions of complex geometry of organs, effects of boundary conditions on pellet propulsion, as well as to clinical conditions, e.g. functional dyspepsia, intestinal dysrhythmias and the effect of drugs to treat motility disorders. With end of chapter problems, this book is ideal for bioengineers and applied mathematicians"--Provided by publisher.

Mathematical modelling of physiological systems promises to advance our understanding of complex biological phenomena and pathophysiology of diseases. In this book, the authors adopt a mathematical approach to characterize and explain the functioning of the gastrointestinal system, using the mathematical foundations of thin shell theory, the authors patiently and comprehensively guide the reader through the fundamental theoretical concepts, via step-by-step derivations and mathematical exercises, from basic theory to complex physiological models. Applications to nonlinear problems related to the biomechanics of abdominal viscera and the theoretical limitations are discussed, special attention is given to questions of complex geometry of organs, effects of boundary conditions on pellet propulsion, as well as to clinical conditions, e.g. functional dyspepsia, intestinal dysrhythmias and the effect of drugs to treat motility disorders, with end-of-chapter problems, this book is ideal for bioengineers and applied mathematicians

`Biomedical engineers, gastrointestinal physiologists, medical physicists and experts in drug discovery will find the insights and comprehensiveness of this mathematical modelling framework to have breakthrough potential. this book introduces a model that explains drug effects, their interactions, and reveals the mechanism for pathophysiological consequences of common disorders.' Professor Michael W. Vannier, Department of Radiology, University of Chicago Medical Center

`This is the first book on the comprehensive modern solid mechanics of the digestive tract. it will benefit students of later Ph.D. courses and young investigators who are interested in the mechanics of digestive organs.' Dr Takami Yamaguchi, Department of Biomedical Engineering, Tohoku University

`The book is well written to meet the needs of modern topics on biomechanics of soft shells. The presentation of material is rich in content, concise and straightforward.'Professor Vladimir Kasyanov, Laboratory of Biomechanics, Riga Technical University

`It provides a coherent framework for existing but fragmentary experimental and clinical observations, and it will surely lead to advances in pharmaceutical medicine, and ultimately in clinical diagnosis and therapy. I predict that this will come to be seen as a landmark in this area of biomedicine.' David Wingate, Emeritus Professor of Gastrointestinal Science. Queen Mary University of London

Connecting theory with clinical applications, this book uses mathematical models to explain and study organ biomechanics of the abdominal viscera.

Mathematical modelling of physiological systems promises to advance our understanding of complex biological phenomena and pathophysiology of diseases. In this book, the authors adopt a mathematical approach to characterize and explain the functioning of the gastrointestinal system. Using the mathematical foundations of thin shell theory, the authors patiently and comprehensively guide the reader through the fundamental theoretical concepts, via step-by-step derivations and mathematical exercises, from basic theory to complex physiological models. Applications to nonlinear problems related to the biomechanics of abdominal viscera and the theoretical limitations are discussed. Special attention is given to questions of complex geometry of organs, effects of boundary conditions on pellet propulsion, as well as to clinical conditions, e.g. functional dyspepsia, intestinal dysrhythmias and the effect of drugs to treat motility disorders. With end of chapter problems, this book is ideal for bioengineers and applied mathematicians.