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Table 1 iCARH model summary

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