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 presentin a single, self-contained resourcetopics 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 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. 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.