@article{PapastavrouSchmidtDengetal.2020, author = {Papastavrou, Areti and Schmidt, Ina and Deng, Kefu and Steinmann, Paul}, title = {On age-dependent bone remodeling}, series = {Journal of Biomechanics}, journal = {Journal of Biomechanics}, number = {103}, publisher = {Elsevier BV}, address = {Amsterdam}, issn = {1873-2380}, doi = {10.1016/j.jbiomech.2020.109701}, year = {2020}, abstract = {A number of previous studies have investigated the possibilities of modelling the change in density of bones. Remodeling can be formulated at the constitutive or the kinematic level. In this work we introduce a formulation for the density growth process which takes not only the mechanical stimulus into account but also the influence of age on the evolution of growth. We demonstrate the implementation in the context of the finite element method. This novel approach is illustrated for a simple uniaxial extension test and is verified against previous numerical results. Moreover, two further physiologically motivated examples are performed. The results of the proposed modified model show excellent agreement with comparable results from literature and are promising for the application to real-life problems.}, language = {en} } @article{PapastavrouSchmidtSteinmann2020, author = {Papastavrou, Areti and Schmidt, Ina and Steinmann, Paul}, title = {On biological availability dependent bone remodeling}, series = {Computer Methods in Biomechanics and Biomedical Engineering}, volume = {23 (2020)}, journal = {Computer Methods in Biomechanics and Biomedical Engineering}, publisher = {Informa UK Limited}, issn = {1476-8259}, doi = {10.1080/10255842.2020.1736050}, pages = {13}, year = {2020}, abstract = {Modeling the evolution of bone density is relevant for understanding, simulation and possible prediction of bone response to external and internal influences. In this work we present a formulation for the bone density evolution process that takes into account not only the commonly considered mechanical stimulus, but, as novelty, also the influence of the availability of nutrients and hormones, with its implementation pursued within the finite element method. A simple uni-axial extension test is used to illustrate and compare our novel model against the classical approach. The results of the proposed modified model are promising for application to real-life problems.}, language = {en} }