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The model is a stochastic Successive Linear Estimator (SLE, Yeh et al., 1996) previously used in groundwater hydrology for detecting the heterogeneity pattern of the subsurface.
There is no gold standard in defining a brain perfusion heterogeneity pattern.
The heterogeneity pattern was generated using spherical harmonics ({Y_{2}^{0}}), ({Y_{2}^{2}}), and ({Y_{1}^{1}}), with relative amplitudes of 10 10 1, respectively.
Bitew and Gebremichael (2011a, b) But TRMM rainfall products can reflect the spatial temporal heterogeneity pattern of precipitation process and fill in the gap of data-sparse region, but with low precipitation accuracy.
Contrary to predictions (see Introduction), differentiation heterogeneity pattern was not correlated with population exposure to human pathogens.
On the other hand NSIP histopathological diagnosis was defined as the presence of marked interstitial chronic inflammation, and/or interstitial fibrosis lacking the temporal heterogeneity pattern and the patchy features of UIP and the absence of fibroblastic foci [ 29].
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Different heterogeneity patterns are considered for the same oil-wet over water-wet surface ratio.
We also incorporate convolution techniques in the CTRW theory, to consider transport between different regions containing distinct heterogeneity patterns.
In this study, the role of heterogeneity patterns was explored using the fully integrated hydrological model HydroGeoSphere simulating complex, variably saturated subsurface flow.
For two specific porous media, with periodic and rather simple heterogeneity patterns, the existence of a representative elementary volume (REV) is studied.
Lifetime data collected at product design and production stage or field operational stage often exhibit heterogeneity patterns, making the homogeneity assumption in conventional statistical lifetime models invalid.
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