This course covers advanced tools from systems and control theory that have proved useful in the analysis of models from systems biology. These include: the theory of monotone dynamical systems, contraction theory, compartmental models, entrainment and phase locking, retroactivity and insulation, and more. Applications to systems biology will include topics from: gene expression and in particular mRNA translation, models in epidemiology, competition for limited biological resources, and more.

This course will cover modern and advanced tools in systems and control theory that are not covered in any other course in the faculty (and in TAU in general), as well as demonstrating their applications to interesting models from systems biology.

A unifying thread is the study of an important model for the dynamics of mRNA translation, called the ribosome flow model, using the set of tools covered in the course.

Grading: homework exercises 30%, final exam 70%.