The model takes into account mathematically: (1) the effects of competition between β-catenin and PG for the binding to TCF/LEF transcription factors on the adipogenic gene promoters, and exploring these effects by extending a previous model [32], which was modified by the addition of new reactions; (2) the analysis of the role of RhoA-ROCK signaling pathway in adipogenic gene expression; and (3) the theoretical analysis of a molecular cross-talk between Wnt/β-catenin and RhoA-ROCK pathways in ARVC. This evidence concerns the gene HNF4A and arrhythmogenic right ventricular cardiomyopathy.