Mathematical Methods in Systems Biology I
The course provides an introduction to mathematical methods for systems biology. In particular linear algebra, probability, theories of networks (graph theory), difference and ordinary differential equations will be developed as tools to address a wide set of biological and biomedical applications. The latter will range from classical prey-predator populations examples to biological networks.
Mathematical Methods in Systems Biology II
The course MMBSII focuses on advanced mathematical methods, which are of particular relevance for biological systems. Building up on MMBS I, the course will further develop the theory of ordinary differential equations, dealing with equilibrium analysis, phase portraits, Lyapunov stability and control theory. Then links between properties of networks and systems of ODEs will be explored. Some advanced topics, such as random graphs and/or social dynamics are also treated.