Discrete Fracture and Matrix (DFM) models describe fractured porous media as complex sets of 2D planar polygons embedded in a 3D matrix representing the surrounding medium. The numerical simulation flow DFM requires discretization partial differential equations on three dimensional matrix, fractures one fracture intersections, suitable coupling conditions between entities different dimensionali...

matrix metalloproteinases (mmps) are a family of neutral proteinases that are important in normal development, cellular differentiation or migration, angiogenesis, neurogenesis, wound repair, and a wide range of pathological processes such as oxidative stress and neuroinflammation. mmps have been demonstrated to increase the permeability of the blood–brain barrier (bbb) by degrading the compone...

It has been found that phase separation, i.e., D022 precipitation in the supersaturated L12 matrix to form the L12 þ D022 equilibrium state, stagnates in the Ni3Al0:52V0:48 alloy under a certain thermodynamic condition. This stagnation originates from the suppression of the long-range vanadium diffusion in the L12 matrix, so-called diffusion blocking. Because diffusion blocking is inherent to t...

This paper establishes a universality result for scaling limits of uniformly random lozenge tilings large domains. We prove that whenever the boundary domain has three adjacent straight segments inclined under 120 degrees (measured in direction internal to domain) each other, asymptotics near middle segment is described by GUE–corners process matrix theory. An important step our argument show f...

Polymers of different natures usually demix. The phases can interdisperse into domains only if their formation is thermodynamically favoured. This can be obtained by grafting or by synthesizing block polymers, but the effective structure depends on the technological process. Examples are given of interdisperse domains of grafted polymers obtained both from solutions and from heterogeneous phase...