Mathematics, by its universal nature, is nowadays intertwined with a wide variety of disciplines, such as physics, economics, social or life sciences. Phrasing a problem in rigorous mathematical terms often allows for a high-level understanding and opens the way for structured analysis. In turn, problems and questions found in applications have the potential to spark profound mathematical questions of interest, also on a purely theoretical level. Within this group we are interested in modeling and analysis approaches for biological regulatory networks using discrete methods and in the purely mathematical questions motivated by the applications.