Fig 2. Singular vectors obtained by tensor decomposition (‘third-order tensor with individuals mode, time mode, and molecule mode’).

A Individual-related singular vectors ($u_{l_{1}i},l_1=1$). B Individual-related singular vectors ($u_{l_{1}i},l_1=2$). C Time-related singular vectors ($\mathrm{M}\mathrm{a}\mathrm{g}\mathrm{e}\mathrm{n}\mathrm{t}\mathrm{a}\mathrm{l}\mathrm{i}\mathrm{n}\mathrm{e}:v_{l_{2}j},l_2=1{\mathrm{O}\mathrm{r}\mathrm{a}\mathrm{n}\mathrm{g}\mathrm{e}\mathrm{l}\mathrm{i}\mathrm{n}\mathrm{e}:v}_{l_{2}j},l_2=2$). D Time-related singular vectors (Purple line: $v_{l_{2}j},l_2=3,\mathrm{C}\mathrm{y}\mathrm{a}\mathrm{n}\mathrm{l}\mathrm{i}\mathrm{n}\mathrm{e}:v_{l_{2}j},l_2=4$). E Molecule-related singular vectors ($w_{l_{3}k},l_3=\mathrm{1,2}$). Representative molecules are labeled. Abbreviations for the representative molecules are as follows: Cit, citrulline; CRP, C-reactive peptide; FFA, free fatty acid; 3-OH, 3-hydroxybutyric acid; Ketone, Total ketone body; Glc, glucose; Ins, insulin; Leu, leucine; Val, valine. The label colors correspond to the metabolic group list.