Synopses & Reviews
This interdisciplinary collection of surveys highlights the central role played by the mathematical modeling of mechanical properties having an effect on the biology, chemistry, and physics of living matter. One of the main goals of the book is to present--in a single, self-contained resource--topics that are widely scattered across the literature in a variety of journals having mutually nonintersecting communities of readers, such as applied mathematicians, engineers, biologists, and physicians. Readers coming from diverse backgrounds are provided with basic modeling ideas and tools to address important problems in the medical and health sciences. Presented are appropriate models as well as their implementation through numerical and computer simulations, which may lead to potential technological innovations useful in medicine. Models are tested in realistic experiments, results are extracted analytically or numerically, and the success of the developed models is determined by comparing theoretical predictions and actual experimental findings. Written in a user-friendly style that avoids cumbersome mathematical techniques and notation, each chapter examines theoretical and practical issues associated with a specific biomedical application Specific topics covered include: * mechanical properties of biological materials--macroscopic and microscopic perspectives * biochemical and biomechanical aspects of blood flow * formation and growth of intracranial aneurysms * modeling of natural tissue substitutes, including cardiovascular and biodegradable stents * regulation of hemostatic system function * mechanical properties of tumors, bones, and cell membranes Modeling of Biological Materials may be used in interdisciplinary, introductory courses covering various biomechanical topics for graduate students in applied mathematics, engineering, and biomedicine. The surveys featured in the book will also be a lasting and valuable reference for a wide community of researchers, practitioners, and advanced students in the above-mentioned fields.
Synopsis
In modeling and subsequent mathematical treatment, many biomechanical problems related to different parts of the human body share very similar basic ideas; however, because the applications examined are very different, the relevant literature is widely spread across journals with differing styles and often mutually nonintersecting communities of readers, e.g., engineers, biologists, and medical doctors. This volume addresses this situation to a certain degree by collecting several survey papers by actively working specialists, dealing with some of the most important problems--- both theoretical and practical---in biomechanics.This unique collection brings to the forefront the central role played by modeling in general, and the modeling of mechanical considerations that have an effect in the biology, chemistry, and physics of living matter. Written in a user-friendly style, which avoids cumbersome mathematical techniques, but at the same time gives a glimpse of them with the required and most important references for the interested reader, these papers clearly explain both the biomedical and mechanical backgrounds associated with complex phenomena. Also presented are basic ideas of the appropriate models, the peculiarities of their implementation, basic features of the discussed phenomena, as well as certain basic theoretical results and simulationscompared with experimental data.Specific topics covered include: * Growth of Biological Tissues * Mechanical Properties of Living Materials * Biochemical and Biomechanical Aspects of Blood Flow * Modeling of Biodegradable Tissues * Surgical Aspects and Modeling in Vascular Mechanics * Modeling of Tumor Growth "Modeling of Biological Materials" may be used in interdisciplinary introductory courses covering various biomechanical topics for graduate students in applied mathematics, engineering, and biomedicine. The surveys featured in the book will also be a lasting and valuable resource for a wide community of researchers, practitioners, and advanced students.
Synopsis
One of the primary purposes and obligations of science, in addition to - derstandingnatureingeneralandlifeinparticular, istoassistinenhancing the quality and longevity of life, indeed a most daunting challenge. To be able to meaningfully meet the last of the above expectations, it is nec- sary to provide the practitioner of medicine with diagnostic and predictive capabilities that science will accord when its seemingly disparate parts are melded together and brought to bear on the problems that they face. The development of interdisciplinary activities involving the various basic sciences biology, physics, chemistry, and mathematics, and their applied counterparts, engineering and technology is a necessary key to unlocking the mysteries of medicine, which at the moment is a curious admixture of art, craft, and science. Signi?cant strides have been taken during the past decades for putting intoplaceamethodologythattakesintoaccounttheinterplayofthevarious basic sciences. Considerable progress has been made in understanding the role that mechanics has to play in the development of medical procedures. Thiscollectionofsurveyarticlesaddressestheroleofmechanicswithregard to advances in the medical sciences. In particular, these survey articles bring to one s attention the central role played by mathematical modeling in general and the modeling of mechanical issues in particular that have a bearing on the biology, chemistry, and physics of living matter."
Synopsis
This interdisciplinary collection of surveys highlights the central role played by the mathematical modeling of mechanical properties having an effect on the living matter. The book presents in a single, self-contained resource topics that are widely scattered across the literature in a variety of journals having mutually nonintersecting communities of readers, such as applied mathematicians, engineers, biologists, and physicians.
Topics covered include mechanical properties of biological materials, biochemical and biomechanical aspects of blood flow, formation and growth of intracranial aneurysms, modeling of natural tissue substitutes, including cardiovascular and biodegradable stents, regulation of hemostatic system function, and mechanical properties of tumors, bones and cell membranes.
Modeling of Biological Materials may be used in interdisciplinary, introductory courses covering various biomechanical topics for graduate students in applied mathematics, engineering, and biomedicine. The surveys featured in the book will also be a lasting and valuable reference for a wide community of researchers, practitioners, and advanced students in the above-mentioned fields.
Synopsis
This unique collection highlights the central role played by modeling in general, and the modeling of mechanical considerations that have an effect on living matter. The volume collects several survey papers by actively working specialists, dealing with some of the most important problems - both theoretical and practical - in biomechanics. Written in a user-friendly style, these papers clearly explain both the biomedical and mechanical backgrounds associated with complex phenomena. This book may be used in interdisciplinary introductory courses covering various biomechanical topics for graduate students in applied mathematics, engineering, and biomedicine.
Table of Contents
Preface Rheology of Living Materials / R. Chotard-Ghodsnia and C. Verdier Biochemical and Biomechanical Aspects of Blood Flow / M. Thiriet Theoretical Modeling of Enlarging Intracranial Aneurysms / S. Baeck, K.R. Rajagopal, and J.D. Humphrey Theoretical Modeling of Cyclically Loaded, Biodegradeable Cylinders / J.S. Soares, J.E. Moore, Jr., and K.R. Rajagopal Regulation of Hemostatic System Function by Biochemical and Mechanical Factors / K. Rajagopal and J. Lawson Mechanical Properties of Human Mineralized Connective Tissues / R. De Santis, L. Ambrosio, F. Mollica, P. Netti, and L. Nicolais Mechanics in Tumor Growth / L. Graziano and L. Preziosi Inhomogeneities in Biological Membranes / R. Rosso and E.G. Virga