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Cd31+, Ng2+ and isolectin+ areas were calculated using ImageJ software.
Positive staining areas were calculated using imaging analysis software (Win Roof; Mitani Corporation, Fukui, Japan).
The surface areas were calculated using the Brunauer Emmett Teller (BET) equation.
Their areas were calculated using scaling law between rupture areas and M w (Murotani et al. 2008).
The Brunauer-Emmett-Teller (BET) specific surface areas were calculated using adsorption data at relative pressure range of P/P 0 = 0.04 0.3.
The surface areas were calculated using the Brunauer Emmett Teller (BET) method, and the pore sizes and pore volumes were calculated from the desorption branch of the isotherm using the Barrett Joyner–Halenda (BJH) method.
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The significance of the difference between two obtained ROC areas was calculated using a permutation test [12].
Distance to urban areas was calculated using the Gridded Rural Urban Population dataset (GRUMP) [20], which provides a gridded and global extent of urban population.
The socioeconomic characteristics for each service area were calculated using 1990 and 2000 US Census of Population and Housing data and were estimated for 1995.
The average pressure, force and interface contact area were calculated using Interactive Data Language IDLL) image analysis software.
The micropore volume and micropore surface area were calculated using t-plot methods.
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