Regenerative medicine meets mathematical modelling: developing symbiotic relationships

SL Waters, LJ Schumacher, AJ El Haj - npj Regenerative Medicine, 2021 - nature.com
Successful progression from bench to bedside for regenerative medicine products is
challenging and requires a multidisciplinary approach. What has not yet been fully …

[图书][B] The mathematics and mechanics of biological growth

A Goriely - 2017 - books.google.com
This monograph presents a general mathematical theory for biological growth. It provides
both a conceptual and a technical foundation for the understanding and analysis of …

Porosity and diffusion in biological tissues. Recent advances and further perspectives

R Penta, L Miller, A Grillo, A Ramírez-Torres… - Constitutive modelling of …, 2020 - Springer
We present a review of porosity and diffusion in biological tissues from different
perspectives. We first introduce the topic by illustrating experimental evidence related to …

Multiscale modeling of lung mechanics: from alveolar microstructure to pulmonary function

DE Hurtado, N Avilés-Rojas, F Concha - … of the Mechanics and Physics of …, 2023 - Elsevier
The mechanical behavior of the lungs has long been associated with the structural
properties of alveoli in pulmonary medicine. However, this structure-function relationship …

Understanding how porosity gradients can make a better filter using homogenization theory

MP Dalwadi, IM Griffiths… - Proceedings of the …, 2015 - royalsocietypublishing.org
Filters whose porosity decreases with depth are often more efficient at removing solute from
a fluid than filters with a uniform porosity. We investigate this phenomenon via an extension …

[HTML][HTML] Three scales asymptotic homogenization and its application to layered hierarchical hard tissues

A Ramírez-Torres, R Penta, R Rodríguez-Ramos… - International Journal of …, 2018 - Elsevier
In the present work a novel multiple scales asymptotic homogenization approach is
proposed to study the effective properties of hierarchical composites with periodic structure …

Multiscale homogenization for fluid and drug transport in vascularized malignant tissues

R Penta, D Ambrosi, A Quarteroni - Mathematical Models and …, 2015 - World Scientific
A system of differential equations for coupled fluid and drug transport in vascularized
(malignant) tissues is derived by a multiscale expansion. We start from mass and momentum …

[HTML][HTML] Micromechanical analysis of the effective stiffness of poroelastic composites

L Miller, R Penta - European Journal of Mechanics-A/Solids, 2023 - Elsevier
Within this work we investigate the role that the microstructure of a poroelastic material has
on the resulting elastic parameters. We are considering the effect that multiple elastic and …

Mathematical and computational models for bone tissue engineering in bioreactor systems

I Burova, I Wall, RJ Shipley - Journal of tissue engineering, 2019 - journals.sagepub.com
Research into cellular engineered bone grafts offers a promising solution to problems
associated with the currently used auto-and allografts. Bioreactor systems can facilitate the …

An asymptotic homogenization approach to the microstructural evolution of heterogeneous media

A Ramírez-Torres, S Di Stefano, A Grillo… - International Journal of …, 2018 - Elsevier
In the present work, we apply the asymptotic homogenization technique to the equations
describing the dynamics of a heterogeneous material with evolving micro-structure, thereby …