Poisson's ratio and yield stress used with the approach were obtained from standard manufacturers values.
The so-called Lagrange approach is used to define reduced bases and the basis functions in this approach are obtained from the numerical solutions.
Data for OED approach were obtained from four optimal non-isothermal profiles (total experimental time of 588 h and 60 experimental data of microbial growth), two profiles with increasing temperatures (IT) and two with decreasing temperatures (DT).
The input data for the development of the neural network model, which play a key role to reach a satisfactory quality of the neural network approach, were obtained from the literature (Kim et al. 2003; Morabito 1989; Harmathy 1983; Yamazaki et al. 1995; Lie and Kodur 1996; Van Geem et al. 1997; Khan et al. 1998; Khan 2002; Kodur and Sultan 2003).
Approval for project aims and data collection approach was obtained from the Royal College of Veterinary Surgeons (RCVS).
Residuals for use in the GRAMMAR approach were obtained from the PROC MIXED procedure in SAS® software, Version 9.1.2 (SAS Institute Inc., Cary, NC).
The extra knowledge used in conjunction with the real data in the BN-E approach was obtained from Kyoto Encyclopedia of Genes and Genomes (KEGG) pathways database [ 13- 15] as described in [ 16].
mRNA expression data for the NCI60 panel, as measured on the Affymetrix U133A Chip and normalized using the per-gene normalization to the median approach, was obtained from the online database, BioGPS (http://biogps.gnf.org) [ 19].
Daily maximum 8-hr average O3 and daily 24-hr average PM2.5 [particulate matter (PM) mass with an aerodynamic diameter ≤ 2.5 μm) CMAQ model estimates for the years 2006 to 2008 predicted to the centroid of each U.S. Census tract (from the 2000 Census) in North Carolina using the Bayesian space time downscaler approach were obtained from the U.S. EPA (2012a).
In the second approach, density is obtained from μ l through the relation μ l = μ m × ρ by assuming that the mass absorption coefficient (μ m ) of materials remains constant under modest pressure and temperature conditions (Lesher et al. 2009).
