Abstract
We present a continuum model for the mechanical behavior of the skeletal muscle tissue when its functionality is reduced due to aging. The loss of ability of activating is typical of the geriatric syndrome called sarcopenia. The material is described by a hyperelastic, polyconvex, transversely isotropic strain energy function. The three material parameters appearing in the energy are fitted by least square optimization on experimental data, while incompressibility is assumed through a Lagrange multiplier representing the hydrostatic pressure. The activation of the muscle fibers, which is related to the contraction of the sarcomere, is modeled by the so called active strain approach. The loss of performance of an elder muscle is then obtained by lowering of some percentage the active part of the stress. The model is implemented numerically and the obtained results are discussed and graphically represented.
Lingua originale | Inglese |
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Titolo della pubblicazione ospite | Multiscale Models in Mechano and Tumor Biology |
Editore | Springer Verlag |
Pagine | 139-159 |
Numero di pagine | 21 |
ISBN (stampa) | 978-3-319-73370-8 |
DOI | |
Stato di pubblicazione | Pubblicato - 2017 |
All Science Journal Classification (ASJC) codes
- Modellazione e Simulazione
- Ingegneria Generale
- Matematica Discreta e Combinatoria
- Controllo e Ottimizzazione
- Matematica Computazionale
Keywords
- Computational Mathematics
- Control and Optimization
- Discrete Mathematics and Combinatorics
- Engineering (all)
- Modeling and Simulation