A history of the study of solid tumour growth: the contribution of mathematical modelling

RP Araujo, DLS McElwain - Bulletin of mathematical biology, 2004 - Elsevier
A miscellany of new strategies, experimental techniques and theoretical approaches are
emerging in the ongoing battle against cancer. Nevertheless, as new, ground-breaking …

Perspectives on biological growth and remodeling

D Ambrosi, GA Ateshian, EM Arruda, SC Cowin… - Journal of the …, 2011 - Elsevier
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 …

[图书][B] Mechanics of solids and materials

R Asaro, V Lubarda - 2006 - books.google.com
Mechanics of Solids and Materials intends to provide a modern and integrated treatment of
the foundations of solid mechanics as applied to the mathematical description of material …

Constitutive theories based on the multiplicative decomposition of deformation gradient: Thermoelasticity, elastoplasticity, and biomechanics

VA Lubarda - Appl. Mech. Rev., 2004 - asmedigitalcollection.asme.org
Some fundamental issues in the formulation of constitutive theories of material response
based on the multiplicative decomposition of the deformation gradient are reviewed, with …

Axons pull on the brain, but tension does not drive cortical folding

G Xu, AK Knutsen, K Dikranian, CD Kroenke… - 2010 - asmedigitalcollection.asme.org
During human brain development, the cerebral cortex undergoes substantial folding,
leading to its characteristic highly convoluted form. Folding is necessary to accommodate …

On the mechanics of solids with a growing mass

VA Lubarda, A Hoger - International journal of solids and structures, 2002 - Elsevier
A general constitutive theory of the stress-modulated growth of biomaterials is presented
with a particular accent given to pseudo-elastic soft living tissues. The governing equations …

Surface wrinkling of mucosa induced by volumetric growth: theory, simulation and experiment

B Li, YP Cao, XQ Feng, H Gao - Journal of the Mechanics and Physics of …, 2011 - Elsevier
Mechanics of living tissues focusing on the relationships between growth, morphology and
function is not only of theoretical interest but can also be useful for diagnosis of certain …

Tissue growth and remodeling

SC Cowin - Annu. Rev. Biomed. Eng., 2004 - annualreviews.org
▪ Abstract The growth and remodeling of a tissue depends on certain features in the history
of its mechanical environment as well as its genetic makeup. The mechanical environment …

[HTML][HTML] Reconstructing relaxed configurations in elastic bodies: Mathematical formulations and numerical methods for cardiac modeling

NA Barnafi, F Regazzoni, D Riccobelli - Computer Methods in Applied …, 2024 - Elsevier
Modeling the behavior of biological tissues and organs often necessitates the knowledge of
their shape in the absence of external loads. However, when their geometry is acquired in …

Active stress vs. active strain in mechanobiology: constitutive issues

D Ambrosi, S Pezzuto - Journal of Elasticity, 2012 - Springer
Many biological tissues exhibit a non-standard continuum mechanics behavior: they are
able to modify their placement in absence of external loads. The activity of the muscles is …