The enrichment coefficient can be estimated as: (3) ENR = CG / L / TG / T Where: ENR – enrichment coefficient, CG – the number of genes with detected expression changes in a given functional category in the experimental gene list L, L – the number of genes in the experimental gene list, TG – total number of genes in a given functional category, T – the total number of genes assessed.
The true proportion of functional regulatory variants is likely much higher given functional alleles in LD, and incomplete coverage in the available eQTL results for variants and human populations, alternative splicing, non-coding RNAs, and tissue-specific expression.
In a classical approach, the number of genes assigned to a given functional category in this set is compared with the number of genes assigned to that category in the entire genome, and deviations are evaluated according to a statistical test.
The main motivation for this kind of investigations follows from the pretty natural concept to pose the stability problem for a given functional equation in the settings of an ordered structure as an alternative for the topological or metric ones.
The hypergeometric distribution was used to assess the statistical significance of enrichment of a given functional group in the target list relative to the genome as a whole [ 125, 126].
The probability mass function of hypergeometric distribution is: (9) So here the probability is calculated using the formula (10) Significant over-representation of a given functional group in any GSVD defined significant cluster was set by a hypergeometric probability threshold of 0.05.
The setting "Hypergeometric test" was chosen to calculate the probability of observing an equal or greater number of genes in a given functional category than in the test set.
We provide polynomial algorithms for the recognition of whether a given functional dependency holds in a given Horn theory, as well as polynomial algorithms for the generation of some representative sets of functional dependencies.
We then develop polynomial time algorithms for recognizing whether a given functional dependency holds in a q-Horn theory, which is represented either by a q-Horn CNF or as the q-Horn envelope of a set of models.
Compared to other synthetic receptors that can afford saccharide binding, boronic acid has much higher affinity and provides high flexibility in giving functional materials for separation and sensing of biological cis-diol compounds.
In addition, the causal alleles involved in breast cancer susceptibility are likely to have moderate molecular and cellular effects, and the measurable effects of an allele in a given functional assay may not exhibit a causal role in breast cancer pathogenesis by itself.
