Mathematical and Computational Methods in Biomechanics of Human Skeletal Systems: An Introduction (Wiley Series in Bioinformatics)

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. This book provides the orthopedic, biomechanical, and mathematical basis for the simulation of surgical techniques in orthopedics. 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. 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 a wealth of information on the current research in this field. The theories presented are applied to specific problems of orthopedics. Numerical results are presented and discussed from both biomechanical and orthopedic points of view and treatment methods are also briefly addressed. Emphasis is placed on the variational approach to the investigated model problems while preserving the orthopedic nature of the investigated problems. The book also presents a study of algorithmic procedures based on these simulation models. 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. It also benefits graduate students in orthopedics, biomechanics, and applied mathematics.

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. This book provides the orthopedic, biomechanical, and mathematical basis for the simulation of surgical techniques in orthopedics. 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. 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 a wealth of information on the current research in this field. The theories presented are applied to specific problems of orthopedics. Numerical results are presented and discussed from both biomechanical and orthopedic points of view and treatment methods are also briefly addressed. Emphasis is placed on the variational approach to the investigated model problems while preserving the orthopedic nature of the investigated problems. The book also presents a study of algorithmic procedures based on these simulation models.

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

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. This book provides the orthopedic, biomechanical, and mathematical basis for the simulation of surgical techniques in orthopedics. 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. 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 a wealth of information on the current research in this field. The theories presented are applied to specific problems of orthopedics. Numerical results are presented and discussed from both biomechanical and orthopedic points of view and treatment methods are also briefly addressed. Emphasis is placed on the variational approach to the investigated model problems while preserving the orthopedic nature of the investigated problems. The book also presents a study of algorithmic procedures based on these simulation models.

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

Despite The Current Successful Methods And Achievement Of Good Joint Implantation Results, It Is Essential To Further Optimize The Implants' Shapes, Enabling Them To Better Resist Extreme Long-term Mechanical Demands. This Book Provides The Orthopedic, Biomechanical, And Mathematical Basis For The Mathematical Simulation Of Surgical Techniques In Orthopedics, As Well As The Numerical Modeling Of Human Joint Replacements And Simulation Of Their Functions. It Is A Highly Useful Tool For Designers, Researchers, Scientists, And Manufacturers Of Joint Implants Who Require The Results Of Suggested Experiments To Improve Existing Shapes Or To Design The New Shapes--provided By Publisher. Biomechanics Of Human Skeleton, Problem Of Alloarthroplasty -- Introduction To Anatomy Of Skeletal System -- Total Replacements Of Human Joints -- Background Of Biomechanics -- Mathematical Models Of Particular Parts Of The Human Skeleton, Joints, And Their Replacements Based On The Boundary Value Problem Analyses -- Mathematical Analyses And Numerical Solutions Of Fundamental Biomechanical Problems -- Biomechanical Models Based On Contact Problems And Biomechanical Analyses Of Some Human Joints, Their Total Replacements, And Biomechanical Analyses Of Some Other Parts Of Human Skeleton. Jiří Nedoma ... [et Al.]. Includes Bibliographical References And Index.