Model Validation and Uncertainty Quantification in Biomechanics

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