Supplementation of C5 to an HFD increases the abundance of haem biosynthesis and reductive acetyl coenzyme A pathways, supplementation of C5 to db/db mice (who develop obesity as mice fed an HFD do) decreases the mannan degradation pathway, supplementation of C5 to LDLR (−/−) mice (who do not develop obesity) increases the pathways of methanogenesis (superpathway of sulphur oxidation and pathway of factor 420 biosynthesis), which were decreased in mice fed an HFD. This evidence concerns the gene LDLR and obesity disorder.