From: Integrative analysis of time course metabolic data and biomarker discovery
Parameters of interest | |
---|---|
ϕe,e∈{cases, controls} | quantifies metabolite interactions, |
(ϕcases−ϕcontrols) quantifies | |
pathway perturbation | |
β m | quantifies association between |
metabolite m and other omic | |
variables from different omics techniques | |
α m | quantifies treatment effect for metabolite m |
Other inferred parameters | |
σ 2 | metabolite variance |
γ im | represents individual |
perturbations for metabolite m | |
ν itm | represents temporal |
effects for metabolite m | |
of individual i at time point t | |
θ m | temporal dependence for metabolite m |
λ mk | local shrinkage parameter |
\(\sigma ^{2}_{\beta _{m}}\) | global shrinkage parameter |
\(\sigma ^{2}_{\gamma _{m}}\) | variance of individual perturbations |
\(\sigma ^{2}_{\nu _{m}}\) | temporal variance |
User specified parameters | |
G,A | between metabolite adjacency matrix |
Ï„ | overall sparsity level |
amongst all metabolites |