It is shown that numerous length scale parameters that characterize spatial heterogeneity and clustering can be extracted from the experimental data on two-point correlation functions.
A model for predicting the evolution of damage in the form of numerous cracks on multiple length scales in composite materials subject to impact loading is presented.
Alignments between BtOM1.0 and in silico restriction maps of UMD3.1 and Btau4.6 revealed numerous discordances at genomic length scales reaching from a restriction site to portions of a chromosomal arm.
The multi-scale flow architectures optimized in this paper have features and qualities similar to tree-shaped (dendritic) designs, where the length scales are numerous, hierarchically organized, and nonuniformly distributed through the available space.
The drying of SWNT gel on silicon wafer in the air gives a highly convoluted film that is composed of numerous bumps and grooves at multiple length scales.
While macroscopic hydrogels are appropriate for some biological applications, there are numerous applications wherein nano- to micrometer length scales are important.
The complexity of the human body derives from numerous modular building blocks assembled hierarchically across multiple length scales.
Features of the diffusion-time dependence of the diffusion-weighted magnetic resonance imaging (MRI) signal provide a new contrast that could be altered by numerous biological processes and pathologies in tissue at microscopic length scales.
Numerous cases are simulated to demonstrate the capability of the proposed schemes in handling multiple length scales, which include the relaxation and necking of an elongated droplet, droplet droplet head-on approaching, droplet-wall interactions, and a droplet pair in a shear flow.
We conclude that the major factor controlling enzyme susceptibility is granule architecture, with shorter length scales not playing a major role as inferred from the largely invariant nature of numerous structural measures during the digestion process (XRD, NMR, SAXS, DSC, FACE).
