Commonly, population balance modeling for crystallization processes only considers one inner variable.
The outer solution of g expressed in terms of the inner variable τ is g eta)=omega_{1}-tauomega_{1}varepsilon+ cdots.
Consequently, a new failure parameter referred as the configurational damage parameter (abbreviated as Π-parameter) is proposed by the appropriate formulation via the M-integral, the remote uni-axial load, and the inner variable of the damaged area.
The scale factor δ 1/2 for this inner variable ζ is chosen so that heating near the edge (tilde {y}=-1/2) is given by the equations begin{array}{*{20}l} &frac{partial tilde{T}_{2}}{partial tilde{x}}=frac{partial^{2} tilde{T}_{2}}{partial zeta^{2}}, end{array} (21).
If the number of genes in the inner variable region is an indicator of the complexity of LPS, then the LPS of strains ATCC 25017 and TX07-7308 is likely more different from that of strains Schu S4 and U112.
Since a similar cassette/mosaic structure with an outer conserved region and an inner variable region was also observed among the wbt gene clusters of F. novicida-like strains Fx1 and 3523 [ 18], it can be hypothesized that genes in the outer region encode functions common to all strains whereas genes in the inner region encode strain-specific functions.
A similar chimeric arrangement has been observed in the gene clusters encoding polysaccharide antigens in Salmonella enterica and it has been proposed that genes in the outer conserved region mediate the conspecific exchange of genes in the inner variable region [ 94].
From genome comparisons, it was apparent that the wbt gene clusters of strains ATCC 25017, TX07-7308, F. tularensis strain Schu S4, and F. novicida strain U112 display a cassette/mosaic structure with an outer conserved region and an inner variable region.
The broad study aim was to detail the potentially modifiable, baseline "inner context variables" existing at the time of organisational change.
> The aim of this study was to profile the potentially modifiable inner context variables of staff attitudes, capabilities and competencies in CRT and CBTp prior to organisational restructure which would facilitate a service wide implementation plan for these therapies.
