Bayesian identification of the tendon fascicle’s structural composition using finite element models for helical geometries. (English) Zbl 1439.74201
Summary: Despite extensive experimental and computational investigations, the accurate determination of the structural composition of biological tendons remains elusive. Here we infer the structural compositions of tendons by coupling a finite element model with fascicle experimental data through a Bayesian uncertainty quantification framework. We present a mechanical model of the fascicle’s geometric and material properties based on its constituents and employ the Bayesian framework to infer its parameters. The finite element model is optimized for helical geometries to reduce the computational cost associated with the Bayesian inference. We establish a link between the fiber and the fascicle tendon scale and identify an appropriate range of mechanically compatible material and geometric properties to quantify the tendon properties. These findings could serve as a basis for the design of artificial tendons.
MSC:
| 74L15 | Biomechanical solid mechanics |
| 74S05 | Finite element methods applied to problems in solid mechanics |
| 62F15 | Bayesian inference |
| 65N30 | Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs |
| 92C30 | Physiology (general) |
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