a, Western blotting of tissues from n = 3 DbtloxP/loxP-AAV8-GFP and n = 3 Dbtloxp/loxP-AAV8-Cre mice (14-3-3 is the loading control). b, Plasma BCAA concentrations in chow-fed mice fasted for 5 h or refed for 2 h after overnight fasting; n = 10 DbtloxP/loxP-AAV8-GFP and n = 10 DbtloxP/loxP-AAV8-Cre. c, IP-GTT (2 g kg−1) in chow-fed mice fasted for 5 h; n = 10 DbtloxP/loxP-AAV8-GFP and n = 10 DbtloxP/loxP-AAV8-Cre. d, AUC of the GTT in c. e, Insulin concentration at t = 0 and t = 20 min (n = 10 DbtloxP/loxP-AAV8-GFP and n = 10 DbtloxP/loxP-AAV8-Cre) during the GTT from c. f, Plasma BCAA concentrations in HFD-fed mice fasted for 5 h or refed for 2 h after overnight fasting; n = 10 DbtloxP/loxP-AAV8-GFP and n = 10 DbtloxP/loxP-AAV8-Cre. g, Plasma BCKAs in mice fasted for 5 h; n = 4 DbtloxP/loxP-AAV8-GFP and n = 5 DbtloxP/loxP-AAV8-Cre. h, Liver pool size of BCAAs. i, Liver pool size of BCKAs. j, Labelling fraction of TCA cycle intermediates in mice fasted for 5 h ten minutes after gavage of [U-13C]-labelled BCAAs; n = 4 DbtloxP/loxP-AAV8-GFP and n = 5 DbtloxP/loxP-AAV8-Cre. k, IP-GTT (1.5 g kg−1) in mice fasted for 5 h and fed HFD; n = 10 DbtloxP/loxP-AAV8-GFP and n = 10 DbtloxP/loxP-AAV8-Cre. l, AUC of the GTT in k. m, Plasma insulin concentration at t = 0 and t = 20 min (n = 10 DbtloxP/loxP-AAV8-GFP and n = 10 DbtloxP/loxP-AAV8-Cre) during the GTT from k. a–e, Mice were fed chow diet. f–m, Mice were fed HFD. Mice were male, 16–24-weeks old and were fed chow diet for 4–5 weeks, followed by HFD for 4–6 weeks. Data are presented as the mean ± s.e.m. When comparing two groups, a two-tailed Student’s t-test was used, with significance defined as *P < 0.05 and **P < 0.01. In the experiments with multiple comparisons at different time points, a repeated measures, two-way ANOVA was used. b, Isoleucine fasted P = 0.019558. i, KIC/KMV P = 0.004877, KIV P = 0.004452. j, Succinate P = 0.000631; malate P = 0.003667; glutamate P = 0.003207.