The continuum mechanical treatment of biological growth and remodeling has attracted considerable attention over the past fifteen years. Many aspects of these problems are now …
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 …
Solid stress and tissue stiffness affect tumour growth, invasion, metastasis and treatment. Unlike stiffness, which can be precisely mapped in tumours, the measurement of solid …
JD Humphrey, KR Rajagopal - Mathematical models and methods …, 2002 - World Scientific
Not long ago it was thought that the most important characteristics of the mechanics of soft tissues were their complex mechanical properties: they often exhibit nonlinear, anisotropic …
H Zhou, M Wang, Y Zhang, Q Su, Z Xie… - Cancer …, 2022 - Wiley Online Library
Dynamic and heterogeneous interaction between tumor cells and the surrounding microenvironment fuels the occurrence, progression, invasion, and metastasis of solid …
MB Amar, A Goriely - Journal of the Mechanics and Physics of Solids, 2005 - Elsevier
The effect of growth in the stability of elastic materials is studied. From a stability perspective, growth and resorption have two main effects. First a change of mass modifies the geometry …
Y Xia, M Sun, H Huang, WL Jin - Signal Transduction and Targeted …, 2024 - nature.com
Cancer, a complex and multifactorial disease, presents a significant challenge to global health. Despite significant advances in surgical, radiotherapeutic and immunological …
A Menzel, E Kuhl - Mechanics research communications, 2012 - Elsevier
Unlike common engineering materials, living matter can autonomously respond to environmental changes. Living structures can grow stronger, weaker, larger, or smaller …
Soft biological tissues often undergo large (nearly) elastic deformations that can be analyzed using the nonlinear theory of elasticity. Because of the varied approaches to …