<abstract xmlns="http://www.w3.org/1999/xhtml"><p> We present a continuum hyperelastic model which describes the mechanical response of a skeletal muscle tissue when its strength and mass are reduced by aging. Such a reduction is typical of a geriatric syndrome called sarcopenia. The passive behavior of the material is described by a hyperelastic, polyconvex, transversely isotropic strain energy function, and the activation of the muscle is modeled by the so called active strain approach. The loss of ability of activating of an elder muscle is then obtained by lowering of some percentage the active part of the stress, while the loss of mass is modeled through a multiplicative decomposition of the deformation gradient. The obtained stress-strain relations are graphically represented and discussed in order to study some of the effects of sarcopenia. </p></abstract>

We present a continuum hyperelastic model which describes the mechanical response of a skeletal muscle tissue when its strength and mass are reduced by aging. Such a reduction is typical of a geriatric syndrome called sarcopenia. The passive behavior of the material is described by a hyperelastic, polyconvex, transversely isotropic strain energy function, and the activation of the muscle is modeled by the so called active strain approach. The loss of ability of activating of an elder muscle is then obtained by lowering of some percentage the active part of the stress, while the loss of mass is modeled through a multiplicative decomposition of the deformation gradient. The obtained stress-strain relations are graphically represented and discussed in order to study some of the effects of sarcopenia.

Loss of mass and performance in skeletal muscle tissue: a continuum model

Communications in Applied and Industrial Mathematics

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

{"article-title":"Loss of mass and performance in skeletal muscle tissue: a continuum model"}

We present a continuum hyperelastic model which describes the mechanical response of a skeletal muscle tissue when its strength and mass are reduced by aging....

Loss of mass and performance in skeletal muscle tissue: a continuum model

Publié en ligne: 28 févr. 2018

Pages: 1 - 19

Reçu: 16 déc. 2016

Accepté: 18 déc. 2017

DOI: https://doi.org/10.1515/caim-2018-0001

Mots clés
sarcopenia, active strain, hyperelasticity, damage, 74B20, 74L15

© 2018

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

Loss of mass and performance in skeletal muscle tissue: a continuum model

Publié en ligne: 28 févr. 2018

Pages: 1 - 19

Reçu: 16 déc. 2016

Accepté: 18 déc. 2017

DOI: https://doi.org/10.1515/caim-2018-0001

Mots cléssarcopenia, active strain, hyperelasticity, damage, 74B20, 74L15

© 2018

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

Mots clés
sarcopenia, active strain, hyperelasticity, damage, 74B20, 74L15