As a measure for tissue specificity of gene expression, we calculated τ (Tau) [75] using log-transformed and normalized gene expression data (as inputted to run Arboretum):
Here, n is the number of tissues and xi is the expression profile component normalized by the maximal component value [75]. The values of tau vary from 0 to 1: ubiquitous or broad expr (τ ≤ 0.5); intermediate expr (0.5 < τ < 0.9); and tissue-specific or narrow expr (τ ≥ 0.9) [75]. Amongst existing methods, τ has been shown to be a reliable method for calculating tissue specificity [76]. Testes normally express far more genes than any other tissue, generally displaying a tissue-specific pattern of expression. As tau was used to assess genome-wide expression levels across all tissues, but between species, testis expression data was included for each species to obtain a true representation of variation in transcriptional programs.
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