The phrase "allocation of gene" is not correct in written English.
It seems to be a misphrasing; the correct term would typically be "allocation of genes" or "gene allocation."
Example: "The allocation of genes in this study is crucial for understanding genetic variation."
Alternatives: "distribution of genes" or "gene assignment."
Informally, our approach may be considered as a 'correlated clustering' model, in which the allocation of genes to clusters in one dataset has an influence on the allocation of genes to clusters in another.
A formal approach for comparing the allocation of genes to clusters is to calculate the ARI between each pair of clustering partitions (Hubert and Arabie, 1985; Rand, 1971).
Although they do so in different ways, both the ARI and the dataset association parameters quantify the degree of similarity between the allocation of genes to clusters in pairs of datasets.
Let A ∈ {0,1} N×M be a binary matrix such that P-A ∈ {0,1} N×M, where A represents a potential allocation of genes to pathways that we use in our methods.
Multiple assays of similar conditions or tissues (albeit with strain and rearing differences, see above) will proportionally shift the focus of the map towards those conditions or tissues; less space will be available for the allocation of genes into clusters based on other expression characteristics.
Let D,E ∈ B N×M be gene to pathway allocations, as described in the Notation section, such that P-D ∈ B N×M and P-E ∈ B N×M, i.e. D and E are allocations of genes.
The number of allocations of genes to pathways is determined by the number of expressed genes and the number of pathways in which the expressed multi-membership genes participate.
As expected, the mean fitness value also shows an increase as the number of allocations of genes to pathways grows, with highly significant correlation value of 0.9769, 0.9777 and 0.9770 for the hill climbing, simulated annealing and genetic algorithm respectively.
A disproportionate allocation of causal gene mutations occurs within clusters having a high average gene maximum multiplicity value.
Allocation of a gene to one of its constituent pathways suggests that the biological system has adjusted the expression of that gene in the given manner to satisfy the activity of that pathway.
