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Multiscale Methods in Biomechanics
Hardcover
Series: Interdisciplinary Applied Mathematics, Book 64
General MathematicsGeneral SciencePhysics
ISBN13: 9783032424662
Publisher: Springer
Published: Feb 24 2027
Pages: 222
Language: English
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.
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