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Elsevier

Model Validation and Uncertainty Quantification in Biomechanics

From Soft Biological Tissue to Blood Flow

  • 1st Edition - October 16, 2026
  • Latest edition
  • Editors: Gerhard A. Holzapfel, Malte Rolf, Xiao Yun Xu
  • Language: English

Model Validation and Uncertainty Quantification in Biomechanics: From Soft Biological Tissue to Blood Flow provides a comprehensive overview of the latest technology in biomec… Read more

Description

Model Validation and Uncertainty Quantification in Biomechanics: From Soft Biological Tissue to Blood Flow provides a comprehensive overview of the latest technology in biomechanical modeling and analysis. Part I presents the foundational principles of modeling primary biomechanical systems, including the intricate workings of the cardiovascular system. This section also provides invaluable insights into essential topics such as sensitivity analysis, uncertainty quantification, machine learning, and surrogate modeling. In Part 2, the book transitions into an in-depth examination of the current state-of-the-art in model validation techniques across a diverse array of biomechanical disciplines, including the latest advancements and best practices.

Part 3 introduces current and innovative approaches for quantifying uncertainties inherent in biomechanical modeling. Chapters range from established methodologies to emerging techniques, providing a comprehensive overview of the various strategies employed in addressing uncertainty in biomechanical studies. Finally, in Part 4, the book concludes with a focus on cutting-edge methods, specifically spotlighting the utilization of machine learning and surrogate modeling for both model validation and uncertainty quantification. Through real-world applications and case studies, this book provides an in-depth understanding of how these advanced techniques are reshaping the landscape of biomechanics research.

Key features

  • Provides an overview of the basics of uncertainty quantification, sensitivity analysis, machine learning, and surrogate modeling
  • Focuses on the underlying biomechanics and computational modeling of the cardiovascular system
  • Introduces current and novel methods for quantifying uncertainties in various biomechanical applications

Readership

Biomedical Engineers, Biomechanical Engineers, Graduate Students of Biomedical Engineering, Tissue Engineers, and researchers in biomechanics

Table of contents

Part 1. Basics and fundamentals


1. Model validation in biomechanics: terminology and regulatory guidelines for in silico medicine

2. Machine learning in continuum biomechanics: techniques, applications, and future directions

3. Physics-informed neural operators for biomechanics: advancing computational modeling with separable architectures

Part 2. Validation in cardiovascular modeling

4. Verification and validation of growth and remodeling models: Application to thoracic aortic aneurysms

5. Model validation of stent-graft deployment and migration simulations in large arteries

6. Validation and uncertainty quantification of patient-specific TAVI simulations within the ASME V&V40 credibility framework

7. Validation of computational fluid dynamics simulations in arteries

8. Uncertainty quantification analysis in artificial intelligence-based prediction of myocardial ischemia

9. Generation and validation of virtual patient cohorts for in silico clinical trials: achievements from the SIMCor project

Part 3. Validation beyond the heart

10. Computational continuum models in soft tissue biomechanics: The way from verification to uncertainty quantification

11. Validation of computational brain models

12. Validating the predictions of mathematical models describing tumor growth and treatment response

Product details

  • Edition: 1
  • Latest edition
  • Published: October 16, 2026
  • Language: English

About the editors

GH

Gerhard A. Holzapfel

Gerhard A. Holzapfel is Professor of Biomechanics and Head of the Institute of Biomechanics at Graz University of Technology (TUG), Austria, since 2007. He is also Adjunct Professor at the Norwegian University of Science and Technology (NTNU), Trondheim, Norway, and Visiting Professor at the University of Glasgow, Scotland. Until 2013 he was Professor of Biomechanics at the Royal Institute of Technology (KTH) in Stockholm, Sweden, for 9 years (7 years as an Adjunct Professor). After his PhD in Mechanical Engineering in Graz he received an Erwin-Schrödinger Scholarship for foreign countries to be a Visiting Scholar at Stanford University (1993-95). He achieved his Habilitation at TU Vienna in 1996 and received a START-Award in 1997, which is the most prestigious research award in Austria for young scientists. In the following years (1998-2004) he was the Head of a research group on "Computational Biomechanics" at TUG. Among several awards and honors in the past years he is listed in "The World's Most Influential Scientific Minds: 2014" (Thomas Reuters), he received the Erwin Schrödinger Prize 2011 from the Austrian Academy of Sciences for his lifetime achievements, and he was awarded the 2021 William Prager Medal and the 2021 Warner T. Koiter Medal. Professor Holzapfel’s research includes experimental and computational biomechanics and mechanobiology with an emphasis on soft biological tissues, the cardiovascular system including blood vessels in health and disease, aortic dissections, therapeutic interventions such as balloon angioplasty and stent implantation, second-harmonic imaging microscopy and medical image processing; nonlinear continuum mechanics, constitutive (multi-scale) modeling of solids at finite strains such as cross-linked actin networks, growth and remodeling, nonlinear finite element methods, fracture and material failure. Professor Holzapfel has authored a graduate textbook entitled "Nonlinear Solid Mechanics. A Continuum Approach for Engineering" (John Wiley & Sons), and co-edited seven books. He contributed chapters to 25+ other books, and published 250+ peer-reviewed journal articles. He is the co-founder and co-editor of the International Journal "Biomechanics and Modeling in Mechanobiology" (Springer-Verlag, Berlin, Heidelberg).
Affiliations and expertise
Professor of Biomechanics and Head of the Institute of Biomechanics at Graz University of Technology (TUG), Austria

MR

Malte Rolf

Malte Rolf is a postdoctoral researcher at the Institute of Biomechanics at Graz University of Technology, in Austria. His research focuses primarily on material and computational modeling of aortic dissections, ranging from multi-scale material modeling to patient-specific fluid-structure interaction modeling. In addition to his primary research focus, M. Rolf-Pissarczyk actively participates in studies on standardized best practices for the application of in silicovalidation methods and the credibility assessment of in silico methods based on ASME verification and validation standards.

Affiliations and expertise
Postdoctoral Researcher, Institute of Biomechanics, Graz University of Technology, Austria

XX

Xiao Yun Xu

Xiao Yun Xu is a Professor of Biofluid Mechanics in the Department of Chemical Engineering at Imperial College London. She joined Imperial College in 1998 as a Lecturer and became a full Professor in 2009. Professor Xu’s research expertise includes computational modelling of fluid flow and mass transfer in biological systems and its biomedical applications. Her pioneering work on the development of image-based computational models for blood flow in large arteries was reported by various media, including BBC online news and Science (“How the Blood Flows”, Science, Vol. 290, November 2000). Over the last 25 years, she has established and led her research group to the cutting edge of multiscale and multi-physics modelling of transport processes in biological systems, with applications ranging from evaluations of endovascular interventional procedures for the treatment of aortic diseases to understanding of drug transport in solid tumors and thrombolytic therapies. In these fields, she has published 200+ peer-reviewed journal articles. She currently serves as an Associate Editor of International Journal for Numerical Methods in Biomedical Engineering, a member of the board of consulting editors for Journal of Biomechanics, and a member of the editorial board of Medicine in Novel Technology and Device.
Affiliations and expertise
Professor of Biofluid Mechanics, Department of Chemical Engineering, Imperial College London, UK