Biomechanical simulations with dynamic muscle paths on NURBS surfaces
Penner J, Leyendecker S (2019)
Publication Language: English
Publication Type: Conference contribution, Conference Contribution
Publication year: 2019
Conference Proceedings Title: Proc. Appl. Math. Mech (PAMM)
Event location: Vienna
Open Access Link: https://onlinelibrary.wiley.com/doi/abs/10.1002/pamm.201900230
Abstract
When simulating musculoskeletal motion with multibody systems representing bones and joints, the muscle paths define the muscle forces, moment arms and resulting body and joint loads. Typically, muscle paths cannot be adequately represented as straight lines because the anatomical structure of the human body forces the muscles to wrap around bones and adjacent tissue. Assuming that the muscles and tendons are always under tension, their path is often modelled as a locally length minimizing curve that wraps smoothly over adjacent obstacles.
The major contribution of this work lies in the use of discrete variational calculus to describe the entire musculoskeletal system, including the muscle paths in a holistic way. Due to the complex geometry of bones and tissue and the fact that muscles can wrap around multiple surfaces, the determination of muscle paths is very challenging. We therefore use non-uniform rational B-spline (NURBS) surfaces to describe the wrapping surfaces and define the muscle paths as a G1-continuous combination of adjacent geodesics. In the resulting coupled musculoskeletal system, the muscle path problem is a boundary value problem on free-form parametric surfaces.
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APA:
Penner, J., & Leyendecker, S. (2019). Biomechanical simulations with dynamic muscle paths on NURBS surfaces. In Proc. Appl. Math. Mech (PAMM). Vienna, AT.
MLA:
Penner, Johann, and Sigrid Leyendecker. "Biomechanical simulations with dynamic muscle paths on NURBS surfaces." Proceedings of the GAMM Annual Meeting, Vienna 2019.
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