Numerical methods and modeling methodologies in computational biomechanics

This book proposes a practical and engineering view of computational biomechanics, covering a wide range of biomechanical topics using solid and fluid continuum mechanics. Several numerical simulation

methods are presented so that the reader can compare their advantages and limitations in various applications. Domain methods have indisputable advantages over boundary methods in well-known and bounded domain applications. However, in problems where the do main is uncertain or not fully defined or very far away, boundary methods outperform domain methods in most cases.

        The text is the result of the research undertaken by the authors over the last several years on the development of a comprehensive system of computational tools capable of addressing many aspects of the biophysical phenomena involved in bone tissue simulation including tissue differentiation, properties characterization, biomechanics, flow in porous media, as well as the complex interaction among them. To this end, the authors present the problem by using a rigorous formulation of existing biological and biomechanical processes, followed by a thoroughly comparison and development of various state-of-the-art numerical techniques in bone tissue analysis.