To overcome the shortcomings of CFU enumeration pointed out above, a number of alternative, cultivation-independent methods have been applied over the years to get hold of indicators for bacterial cell viability.
The assays were developed for the detection and enumeration of non-point source input of fecal pollution to watersheds.
Recently, there are many papers on the Dedekind sums which are related to elliptic modular functions, geometry (lattice point enumeration in polytopes, topology (signature defects of manifolds), algorithmic complexity (pseudo random number generators), character theory, the family of zeta functions, the Bernoulli functions, and other special functions.
Using the gene sets induced by the enumerations, at this point the stage may be set for exploring the effects and interactions of multiple sets of genes as determinants of the progress and outcome of disease.
Exploratory end points included enumeration of circulating tumour, endothelial, and immune cells at baseline, during therapy, and at study termination.
Whether they can be given an intrinsic characterization or whether they can be specified only by enumeration is a moot point.
To estimate cell density directly from segmented PCM images, we corrected for the "packing density" of cell colonies by employing basic image features (BIF) for texture analysis (Crosier and Griffin, 2010), and we compared our cell density estimates with results from end-point cell enumeration.
The initial phase constituted selection of sample points (clusters) involving enumeration areas (EAs) outlined for the 2010 PHC in which 427 clusters were designated in all constituting 216 from urban and 211 from rural areas.
Enumeration of all the extreme points in conv V) may be useful when the V-representation is applied to (P1) and (P2) described in Section 3. In fact, this is ensured by Krein-Milman's theorem that for every bounded closed convex set A,conv(A)=conv(ext(A)) holds.
Aliquots of the liquid cultures were taken at different time points for cfu enumeration and Western blot analysis.
