Roustem N. Miftahof - Böcker

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.

This book concerns the mathematical modeling and computer simulation of the human stomach. It follows the four modern P’s (prevention, prediction, personalization, and precision in medicine) approach in addressing the highly heterogeneous nature of processes underlying gastric motility disorders manifested as gastroparesis, functional dyspepsia, myenteric enteropathy etc.  The book comprehensively guides readers through the fundamental theoretical concepts to complex physiological models of the organ.  This requires a deep and thorough understanding of driving pathophysiological mechanisms as well as the collaborative effort of specialists working in fundamental and biological science. Such a multidisciplinary partnership is vital because it upholds gnostic capabilities and provides the exchange of thoughts and ideas thus offering broad perspectives into the evolution and management of diseases. The book is a valuable resource for applied mathematicians, computational biologists, bioengineers, physicians, physiologists and researchers working in various fields of biomedicine.

This book concerns the mathematical modeling and computer simulation of the human stomach. The book is a valuable resource for applied mathematicians, computational biologists, bioengineers, physicians, physiologists and researchers working in various fields of biomedicine.

The complexity of human uterine function and regulation is one of the great wonders of nature and represents a daunting challenge to unravel. This book is dedicated to the biomechanical modeling of the gravid human uterus and gives an example of the application of the mechanics of solids and the theory of soft shells to explore medical problems of labor and delivery. After a brief overview of the anatomy, physiology and biomechanics of the uterus, the authors focus mainly on electromechanical wave processes, their origin, dynamics, and neuroendocrine and pharmacological modulations. In the last chapter applications, pitfalls and problems related to modeling and computer simulations of the pregnant uterus and pelvic floor structures are discussed. A collection of exercises is added at the end of each chapter to help readers with self-evaluation.The book serves as an invaluable source of information for researchers, instructors and advanced undergraduate and graduate students interested in systems biology, applied mathematics and biomedical engineering.

As a research subject, the biomechanics of the urinary bladder are relatively young, yet medical problems associated with them are as old as mankind. Offering an update on recent achievements in the field, the authors highlight the underlying biological, chemical and physical processes of bladder function and present the systematic development of a mathematical model of the organ as a thin, soft biological shell. The book will be a valuable resource for postgraduate students and researchers interested in the applications of computational mathematics and solid mechanics to modern problems in biomedical engineering and medicine.

The complexity of human uterine function and regulation is one of the great wonders of nature and represents a daunting challenge to unravel. This book is dedicated to the biomechanical modeling of the gravid human uterus and gives an example of the application of the mechanics of solids and the theory of soft shells to explore medical problems of labor and delivery. After a brief overview of the anatomy, physiology and biomechanics of the uterus, the authors focus mainly on electromechanical wave processes, their origin, dynamics, and neuroendocrine and pharmacological modulations. In the last chapter applications, pitfalls and problems related to modeling and computer simulations of the pregnant uterus and pelvic floor structures are discussed. A collection of exercises is added at the end of each chapter to help readers with self-evaluation.The book serves as an invaluable source of information for researchers, instructors and advanced undergraduate and graduate students interested in systems biology, applied mathematics and biomedical engineering.