Mathematical foundations and biomechanics of the digestive system

By Roustem Miftahof

Subjects: Gastrointestinal Tract, Modèles biologiques, Plaques et coques élastiques, MEDICAL, Elastic plates and shells, Computer Simulation, Gastrointestinal Motility, Biomécanique, Gastrointestinal system, Simulation par ordinateur, Biomechanics, Mathematical models, Digital computer simulation, Biomechanical Phenomena, Tractus gastro-intestinal, Modèles mathématiques, Simulation, Physiology, Computer simulation, Gastrointestinal system, diseases, Nutrition, Biological Models, Biological models, Medicine, data processing

Description: "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.