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Model Validation and Uncertainty Quantification in Biomechanics: Sources and Methods of Uncertainty and Variability Analysis - Volume 2: Biomechanics of Living Organs

Editat de Gerhard A. Holzapfel, Malte Rolf, Xiao Yun Xu
en Limba Engleză Hardback – dec 2026
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.

  • 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
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Specificații

ISBN-13: 9780443581694
ISBN-10: 044358169X
Pagini: 580
Dimensiuni: 191 x 235 mm
Editura: ELSEVIER SCIENCE
Seria Biomechanics of Living Organs


Cuprins

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