Mollica, Francesco, Preziosi, Luigi, Rajagopal, K. R. (Eds.)
2007, XV, 357 p. 71 illus.
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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
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
Basic ideas of the appropriate models and basic features of the discussed phenomena as well as certain basic theoretical results and simulations compared with experimental data are presented
May be used in interdisciplinary introductory courses covering various biomechanical topics for graduate students in applied mathematics, engineering, and biomedicine
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.
Content Level »Research
Keywords »Stent - biodegradable tissues - biology - biomechanics - biomedical applications - biomedical engineer - biomedicine - hemostatic system function - intracranial aneurysms - mathematical modeling - mechanical properties of living materials - modeling of natural tissue substitutions - tissue - tumor growth - vascular mechanics
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