A new method to design energy-conserving surrogate models for the coupled, nonlinear responses of intervertebral discs

• Published in: Biomechanics and modeling in mechanobiology Vol. 23; no. 3; pp. 757 - 780
• Main Authors: Hammer, Maria, Wenzel, Tizian, Santin, Gabriele, Meszaros-Beller, Laura, Little, Judith Paige, Haasdonk, Bernard, Schmitt, Syn
• Format: Journal Article
• Language: English
• Published: Berlin/Heidelberg Springer Berlin Heidelberg 01.06.2024; Springer Nature B.V
• Subjects: Biological and Medical Physics; Biomechanical Phenomena; Biomedical Engineering and Bioengineering; Biophysics; Computer Simulation; Displacement; Elasticity; Energy conservation; Engineering; Finite Element Analysis; Humans; Intervertebral Disc - physiology; Intervertebral discs; Kinematics; Mathematical models; Models, Biological; Nonlinear Dynamics; Nonlinear response; Original Paper; Physiology; Polynomials; Range of Motion, Articular - physiology; Spine; Stiffness matrix; Theoretical and Applied Mechanics; Biomechanics; Spine modeling; Elastic surrogates; Intervertebral disc; Kernel approximation

The aim of this study was to design physics-preserving and precise surrogate models of the nonlinear elastic behaviour of an intervertebral disc (IVD). Based on artificial force-displacement data sets from detailed finite element (FE) disc models, we used greedy kernel and polynomial approximations...