TY - CHAP
T1 - A continuum model of skeletal muscle tissue with loss of activation, Lecture Notes in Computational Science and Engineering
AU - Giantesio, Giulia
AU - Musesti, Alessandro
PY - 2017
Y1 - 2017
N2 - 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.
AB - 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.
KW - Computational Mathematics
KW - Control and Optimization
KW - Discrete Mathematics and Combinatorics
KW - Engineering (all)
KW - Modeling and Simulation
KW - Computational Mathematics
KW - Control and Optimization
KW - Discrete Mathematics and Combinatorics
KW - Engineering (all)
KW - Modeling and Simulation
UR - http://hdl.handle.net/10807/118882
UR - http://www.springer.com/series/3527
U2 - 10.1007/978-3-319-73371-5_7
DO - 10.1007/978-3-319-73371-5_7
M3 - Chapter
SN - 978-3-319-73370-8
SP - 139
EP - 159
BT - Multiscale Models in Mechano and Tumor Biology
A2 - Gerisch, A
A2 - Penta, R
A2 - Lang, J
ER -