Evolutionary computation can model both biological and cultural evolution.
Here are some links to a vast domain of research with far ranging applications in protein-folding and drug design, optimization, pattern detection, industry and art. They're no match for these evolutionary creations of genetic art. Here's a hands-on opportunity to explore artificial selection, a chance to breed a genetic image and watch it evolve. Yes, just click on the site and you can set the fitness by grading each of nine variants of an artwork. After a set number of votes, the most reproductively successful variants mutate and recombine their genetic materials producing a new population of nine variants.