As an example, we focused on the evolution of key genotypic states occurring in Lynch syndrome, the most common inherited CRC syndrome, namely alterations in the MMR genes, with focus on MLH1 and MSH2, CTNNB1, APC, KRAS and TP53. There might be other driver mutations in Lynch syndrome-associated colorectal carcinogenesis where empirical data are scarce and thus, these mutations are currently not covered for the specific example of Lynch syndrome modeling. The gene discussed is CTNNB1; the disease is Lynch syndrome.