The observed EC50 values for the products (mg product l−1) were re-calculated to the sum of the considered components (mg considered compounds/l) for defined sets: (i) only the a.s., (ii) the a.s. and all additives categorized as 'HAZ' or 'CLP', and (iii) the a.s. and all additives for which toxicity data were available for the respective end point.
As a result, the complexity of comparing all pairs of candidate promoters to determine their total similarity is reduced in our algorithm by means of considering a large number of randomly defined sets of edges, i.e. randomly constructed graphs with n vertices assigned the same regions but connected by different edges.
Gene Set Enrichment Analysis (GSEA) [ 1] is a computational method that considers a priori defined gene sets to investigate expression data for significantly enriched sets of genes or pathways.
GSEA considers a priori defined gene sets, for example, genes in a signature such as the self-renewal associated signature or members of a pathway.
Consider a set-valued map defined by (3.8).
Next, consider a 'growth' setting.
For, we consider the set, defined in the proof of the preceding theorem.
Key strengths are that this was a systematic review of all available evidence, considering a clearly defined set of clinical events (related to diabetes mellitus) and studies (cost-utility and cost-effectiveness analyses) conducted from a German perspective.
Consider a Lyapunov candidate function defined in the set (bar{Omega}) as begin{aligned} W x) =& operatorname{KL}(Ka, Kx) =& sum_{i=1}^{I} (Kx)_{i} log frac{(Kx)_{i}}{(Ka)_{i}} + (Ka)_{i} - (Kx)_{i} =& sum_{i=1}^{I} int _{(Ka)_{i}}^{(Kx)_{i}} logfrac{y}{(Ka)_{i}}, dy, end{aligned} which is positive definite with respect to the point (a in{mathcal{A}}).
Consider the sets defined by (3.45).
Trk receptor activation by neurotrophins is often considered to have a defined set of actions on target neurons, including supporting neuronal survival, inducing morphological differentiation, and regulating a host of target genes that specify neuronal phenotype.
