The course discusses the mathematical modelling of large biochemical networks, metabolic networks in particular, and the subsequent contrained-based analysis of their dynamic properties. Focus will be on the mathematical underpinning and algorithms involved. We introduce the fundamental concepts of the stoichiometric matrix and flux vector and show what information can already deduced from the first, e.g. concerning possible steady state flux vectors for the system: extreme pathways, elementary modes and the relationships among the two. Several algorithms will be explained for computing them together with software packages that implement these (e.g. CellNetAnalyzer). The concepts are applied to the problem of optimal metabolite production for a model organism. If time permits, parametric sensitivity is discussed.
The course targeted at students in the Life Sciences, Mathematics and Bioinformatics. The topics will be dicsussed in a well-balanced mixture of biology, biochemistry, mathematics and computer science. Examination will be by means of assignments that students need to make individually, and final team assignments in which in a small interdisciplinary team specially selected research papers on applications of metabolic network analysis are studied. The results are presented to the other students. The team presentation and a written report of the study are evaluated. The results of individual assignments, team presentation and team reports are combined to obtain the final grade.
Literature (facultative):Lecture Notes (subject to updates):
An updated version of the Lecture Notes becomes available section-wise during the course.