Model Validation and Uncertainty Quantification in Biomechanics
Sources and Methods of Uncertainty and Variability Analysis - Volume 2
- 1st Edition - December 1, 2026
- Latest edition
- Editors: Gerhard A. Holzapfel, Malte Rolf, Xiao Yun Xu
- Language: English
Model Validation and Uncertainty Quantification in Biomechanics: Sources and Methods of Uncertainty and Variability Analysis addresses the increasing need to incorporate uncert… Read more
Description
Description
Model Validation and Uncertainty Quantification in Biomechanics: Sources and Methods of Uncertainty and Variability Analysis addresses the increasing need to incorporate uncertainty and variability into computational biomechanics. As biomechanical modeling becomes more central to clinical decision-making, deterministic approaches are no longer sufficient to describe biological complexity. This reference provides a systematic treatment of uncertainty quantification, enabling more reliable, patient-specific models in cardiovascular and soft tissue applications. The volume is structured into four main sections. It begins with probabilistic fundamentals and sensitivity analysis, establishing core principles for uncertainty-aware modeling. It then explores sources of uncertainty, including vascular modeling, imaging reconstruction, MRI, ultrasound elastography, and biological variability such as sex differences. The third section focuses on computational methods such as multi-fidelity modeling and Bayesian parameter identification. The final section presents practical applications in vascular systems, cardiac mechanics, and diagnostic techniques, emphasizing clinically relevant case studies.
Model Validation and Uncertainty Quantification in Biomechanics: Sources and Methods of Uncertainty and Variability Analysis provides researchers and engineers with rigorous tools to assess model reliability and variability. By combining foundational theory with applied methodologies, it supports the development of robust, predictive biomechanical simulations, advancing translational research and precision medicine in healthcare engineering.
Model Validation and Uncertainty Quantification in Biomechanics: Sources and Methods of Uncertainty and Variability Analysis provides researchers and engineers with rigorous tools to assess model reliability and variability. By combining foundational theory with applied methodologies, it supports the development of robust, predictive biomechanical simulations, advancing translational research and precision medicine in healthcare engineering.
Key features
Key features
- Provides comprehensive foundations of uncertainty quantification and probabilistic modeling in biomechanics
- Examines major sources of variability in imaging, vascular modeling, and biological systems
- Presents advanced methods including Bayesian inference and multi-fidelity modeling techniques
Readership
Readership
Biomedical engineers; Biomechanics and Computational Medicine researchers
Table of contents
Table of contents
Part I. Basics and fundamentals
1. Uncertainty quantification in biomechanics: probabilistic fundamentals
2. Sensitivity analysis in biomechanics: addressing model complexity and uncertainty
Part II. Sources of uncertainty and variability
3. Vascular models and related uncertainties in computational medicine: Tools for capturing patient specificity and variability
4. Methods for assessing uncertainties of image reconstruction procedures and their propagation in in silico analyses
5. 4D-flow MRI error analysis
6. Uncertainties in ultrasound elastography from a continuum mechanics perspective
7. Biological sex as a missing variable in biomechanical models
Part III. Methods for uncertainty quantification
8. A primer on uncertainty quantification for cardiovascular simulations
9. An introduction to multi-fidelity uncertainty propagation in biomechanics
10. Identification of model parameter distributions via multilevel Bayesian approaches
Part IV. Applications in biomechanical modeling
11. Geometric modeling and uncertainties of the vascular system
12. Hemodynamics in type B aortic dissection with focus on sensitivity and dimensional analysis
13. Uncertainty quantification in patient-specific models of left ventricular mechanics models
14. Uncertainty quantification for impedance plethysmography with gradient boosting tree regression
1. Uncertainty quantification in biomechanics: probabilistic fundamentals
2. Sensitivity analysis in biomechanics: addressing model complexity and uncertainty
Part II. Sources of uncertainty and variability
3. Vascular models and related uncertainties in computational medicine: Tools for capturing patient specificity and variability
4. Methods for assessing uncertainties of image reconstruction procedures and their propagation in in silico analyses
5. 4D-flow MRI error analysis
6. Uncertainties in ultrasound elastography from a continuum mechanics perspective
7. Biological sex as a missing variable in biomechanical models
Part III. Methods for uncertainty quantification
8. A primer on uncertainty quantification for cardiovascular simulations
9. An introduction to multi-fidelity uncertainty propagation in biomechanics
10. Identification of model parameter distributions via multilevel Bayesian approaches
Part IV. Applications in biomechanical modeling
11. Geometric modeling and uncertainties of the vascular system
12. Hemodynamics in type B aortic dissection with focus on sensitivity and dimensional analysis
13. Uncertainty quantification in patient-specific models of left ventricular mechanics models
14. Uncertainty quantification for impedance plethysmography with gradient boosting tree regression
Product details
Product details
- Edition: 1
- Latest edition
- Published: December 1, 2026
- Language: English
About the editors
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), AustriaMR
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, AustriaXX
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