Soft materials often exhibit a distinctive power-law viscoelastic response arising from broad
distribution of time-scales present in their complex internal structure. A promising tool to …

Mechanical properties play important roles at different scales in biology. At the level of a
single cell, the mechanical properties mediate mechanosensing and mechanotransduction …

Abstract Force-displacement (FZ) curves are the most commonly used Atomic Force
Microscopy (AFM) mode to measure the local, nanoscale elastic properties of soft materials …

We present three schemes for the numerical approximation of fractional diffusion, which
build on different definitions of such a non-local process. The first method is a PDE approach …

Viscoelasticity and other related phenomena are of great importance in the study of
mechanical properties of materials, especially biological materials. Certain materials …

Cell mechanics is a novel label-free biomarker for indicating cell states and pathological
changes. The advent of atomic force microscopy (AFM) provides a powerful tool for …

High failure rates present challenges for surgical and interventional therapies for peripheral
artery disease of the femoropopliteal artery (FPA). The FPA's demanding biomechanical …

Atomic force microscopy (AFM) has found a wide range of bio-applications in the past few
decades due to its ability to measure biological samples in natural environments at a high …

In this paper, we propose a fast spectral-Galerkin method for solving PDEs involving an
integral fractional Laplacian in R^d, which is built upon two essential components:(i) the …

Viscoelasticity of porcine skin and its material substitute, modelled by variously concentrated
bovine gelatin, was determined in static (creep test) and dynamic (oscillatory test) mode by …