Multiscale Methods in Biomechanics

Erscheinungsjahr 2027
ISBN: 978-3-032-42466-2
Verlag: Springer

Buch, Englisch, 366 Seiten, Format (B × H): 155 mm x 235 mm

Reihe: Interdisciplinary Applied Mathematics

The human body is one of the most complex systems in nature, spanning an extraordinary range of spatial and temporal scales, from molecular interactions measured in nanometres to the function of whole organs and physiological systems. Understanding how processes at one scale influence behaviour at another remains one of the central challenges in biomechanics, physiology, and biomedical engineering.

Multiscale Methods in Biomechanics is the first comprehensive text dedicated to the mathematical and computational techniques used to bridge these scales. Bringing together methods that have traditionally been scattered across diverse research communities, the book provides a unified and accessible treatment of multiscale modelling within biomechanics, highlighting both the underlying theory and its application to real biological systems.

Covering topics ranging from quantum and atomistic models to tissue mechanics, electrophysiology, fluid dynamics, mass and heat transfer, and coupled physiological systems, the book demonstrates how modern multiscale methods can be used to understand, analyse, and predict the behaviour of complex biological structures and processes. Applications include cardiovascular systems, bone, muscle, neural tissue, transport phenomena, drug delivery, and emerging areas such as digital twins and precision medicine.

Rather than focusing on numerical implementation, the emphasis is on developing a clear understanding of the principles that underpin multiscale modelling and showing how these principles can be applied across a wide range of biomechanical problems. Consistent notation, extensive cross-referencing, and numerous real-world examples make challenging concepts accessible to readers from diverse backgrounds.

This essential reference is ideal for master's and doctoral students, researchers, and professionals in biomechanics, biomedical engineering, applied mathematics, physiology, and related disciplines seeking a rigorous introduction to one of the most important and rapidly evolving areas of modern biomedical science.

Zielgruppe

Research

Autoren/Hrsg.

Payne, Stephen

Fachgebiete

• Naturwissenschaften Physik Physik Allgemein Theoretische Physik, Mathematische Physik, Computerphysik
• Interdisziplinäres Wissenschaften Wissenschaften: Forschung und Information Kybernetik, Systemtheorie, Komplexe Systeme
• Technische Wissenschaften Maschinenbau | Werkstoffkunde Technische Mechanik | Werkstoffkunde Strömungslehre

Inhaltsverzeichnis

Introduction.- From quantum to discrete to continuum.- Section 1.Tissue Mechanics.- Mechanical behavior.- Electrical behavior.- Coupled mechanical-electrical behavior.- Section 2. Fluid Mechanics.- Fluid mechanics.- Section 3. Mass and Heat Transfer.- Mass transfer.- Heat transfer.- Section 4. Coupled Systems.- Other coupled systems.- Concluding remarks.- References.

Über Autor(innen)

Stephen Payne is Full Professor at the School of Engineering Mathematics, University of Bristol, and Visiting Professor at the Institute of Applied Mechanics, National Taiwan University, where he has held a prestigious Yushan Fellowship since 2021, one of Taiwan's highest academic honours. Prior to this, he spent over fifteen years at the University of Oxford , progressing from University Lecturer to Associate Professor and, ultimately, Full Professor in the Institute of Biomedical Engineering within the Department of Engineering Science.

An internationally recognized researcher in biomechanics and biomedical engineering, Professor Payne's work focuses on mathematical and computational modelling of physiological systems, with particular expertise in multiscale biomechanics, cardiovascular physiology, and biomedical physics. He has authored more than  180 peer-reviewed journal articles and several influential books, including the research monographs (Springer, 2016) and (World Scientific, 2018), as well as the widely adopted textbook (Springer), now in its third edition.

Throughout his career, Professor Payne has secured more than  £3 million in research funding across the United Kingdom and Taiwan and has supervised over 100 researchers and students , including more than 40 doctoral candidates . His commitment to developing the next generation of scientists has been matched by significant leadership contributions to the academic community.

He currently serves as  Editor-in-Chief of . He is a Fellow of the Institution of Mechanical Engineers (IMechE) , the Institute of Physics and Engineering in Medicine (IPEM) , and the Higher Education Academy (HEA) .

Drawing on decades of experience at the forefront of biomechanics research, Professor Payne brings a unique combination of mathematical rigour, engineering insight, and biomedical expertise to  .