The mechanical response of a homogeneous isotropic linearly elastic material can be fully
characterized by two physical constants, the Young's modulus and the Poisson's ratio, which …

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 …

Mechanical interaction between the cell and its extracellular matrix (ECM) regulates cellular
behaviors, including proliferation, differentiation, adhesion, and migration. Cells require the …

In some soft biological structures such as brain and fat tissues, strong experimental
evidence suggests that the shear modulus increases significantly under increasing …

Experiments on brain samples under multiaxial loading have shown that human brain tissue
is both extremely soft when compared to other biological tissues and characterized by a …

In contemporary elasticity theory, the strain–energy function predominantly relies on the first
invariant I 1 of the deformation tensor; a practice that has been influenced by models derived …

We investigate a family of isotropic volumetric-isochoric decoupled strain energies F ↦ W_
eH (F):= W _ eH (U):=\left {μ ke^ k ‖ dev _n U ‖^ 2+ κ 2 ke^ k tr (\log U)^ 2 & if\det F> …

Deep vein thrombosis and pulmonary embolism affect 300,000–600,000 patients each year
in the US. To better understand the highly mechanical pathophysiology of pulmonary …

The foundation of a new concept, coined here as hyperinelasticity, is presented in this work
for modelling the isothermal elastic and inelastic behaviours of polymers. This concept is …

The right ventricular myocardium, much like the rest of the right side of the heart, has been
consistently understudied. Presently, little is known about its mechanics, its microstructure …