The present paper is devoted to the investigation of a parabolic equation with moving boundaries arising in ductal carcinoma in situ (DCIS) model.
Compared to polycrystals, in composites the soft polymer matrix permits the active grains to deform to some extent independently; in particular the rigidity of grain boundaries arising from incompatible orientations is reduced.
This embrittlement was ascribed primarily to the reduction in the local deformability in the vicinity of grain boundaries arising from additional precipitation of fine δ′-phase particles in the original PFZ.
The later study of complicated and irregular boundaries arising in engineering problems led to the invention of the finite element method, in which the domain was replaced by a set of "elements" of fairly simple shape on which the unknown function was approximated.
Another important example of samples with (partially) common segment boundaries arises when the samples originate from different clones of the same (early) tumor.
Again, the issue of how to draw consistent boundaries arises because the solid fuel may be burnt directly or transformed into secondary products.
The shift of the PHS upper boundary arises mainly because the focal depths determined using OBS data were shallower than those derived from land-based data alone (Fig. 3).
In 1983 Hillert obtained the formula Yη2(c+−c−)2 for the driving force per unit area of grain boundary arising from elastic misfit in an isotropic alloy, where the mole fractions c+ and c− on the two sides of the grain boundary are small, η is a measure of the elastic misfit and Y=E/(1−ν) where E is Young's modulus and ν is Poisson's ratio.
The final category, pathway-boundary, arises when the boundary between two well-accepted pathways cuts through a metabolite.
The tensions between these boundaries usually arise from the relationship between administration and culture, and they are determined by the natural role of social service organizations.
