Mathematical And Computational Methods And Algorithms In Biomechanics. Human Skeletal Systems

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Cutting-edge solutions to current problems in orthopedics, supported by modeling and numerical analysis Despite the current successful methods and achievements of good joint implantations, it is essential to further optimize the shape of implants so they may better resist extreme long-term mechanical demands

Emphasis is placed on the variational approach to the investigated model problems while preserving the orthopedic nature of the investigated problems

It also benefits graduate students in orthopedics, biomechanics, and applied mathematics.

It focuses on the numerical modeling of total human joint replacements and simulation of their functions, along with the rigorous biomechanics of human joints and other skeletal parts

Numerical results are presented and discussed from both biomechanical and orthopedic points of view and treatment methods are also briefly addressed

The book also presents a study of algorithmic procedures based on these simulation models

The book includes An introduction to the anatomy and biomechanics of the human skeleton, biomaterials, and problems of alloarthroplasty The definition of selected simulated orthopedic problems Constructions of mathematical model problems of the biomechanics of the human skeleton and its parts Replacement parts of the human skeleton and corresponding mathematical model problems Detailed mathematical analyses of mathematical models based on functional analysis and finite element methods Biomechanical analyses of particular parts of the human skeleton, joints, and corresponding replacements A discussion of the problems of data processing from nuclear magnetic resonance imaging and computer tomography This timely book offers

The theories presented are applied to specific problems of orthopedics

This book provides the orthopedic, biomechanical, and mathematical basis for the simulation of surgical techniques in orthopedics

This is a highly useful tool for designers, researchers, and manufacturers of joint implants who require the results of suggested experiments to improve existing shapes or to design new shapes

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