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. Author manuscript; available in PMC: 2020 Apr 9.
Published in final edited form as: Comput Toxicol. 2018 Jun 19;7:46–57. doi: 10.1016/j.comtox.2018.06.003

Table 1:

Equations for ranking GeneID-MeSH co-occurrences.

Equation Description
C = {c1, …cn } a set of co-occurrences, where c is a GeneID-MeSH term co-occurrence that is unique by PMID and n is the total number of co-occurrences
G(g) the number of co-occurrences of C that contain gene, g
M(m) the number of co-occurrences of C that contain MeSH term, m
M(m′) the number of co-occurrences of C that contain m and all the descendants of m
T(g; m) the subset of C that contains co-occurrences with both g and m
p(g)=|G(g)|n the probability of g occurring
p(m)=|M(m)|n the probability of m occurring based on frequencies before MeSH term frequency normalization
p(m)=|M(m)|n the probability of m and all the descendants of m occurring based on frequencies after MeSH term frequency normalization
p(g;m)=|T(g;m)|n the probability of g and m co-occurring
pmi(g;m)=log(p(g;m)p(g)p(m)) pointwise mutual information for a given g and m
npmi(g;m)=pmi(g;m)log(p(g,m)) normalized pointwise mutual information for a given g and m