Biological Systems: The course consists of (1) enumeration of the biological components that participate in biological processes, statistical representation, interpretation and prediction of biological data, (2) reconstruction of the interactions necessary to form a network (3) mathematical representation for analysis, interpretation and prediction, especially modeling and application related to biological components involved in cellular processes (4) model validation and use of prospective design, in particular tree modeling and biological networks at the molecular level. Students will be taught quantitative modeling of biological systems: reactions between molecules, including receptor-ligand and antigen-antibody specificity, protein structure, genetic and biochemical pathways and networks, enzyme catalysis, genetic information processing and secretion of proteins, study of data related to biological systems, description and modeling of the structure and dynamics of biological components, study of interactions between molecular systems involved in biological processes, study of networks of biological and biochemical interactions contained in databases freely accessible. Advanced quantitative analysis techniques including multi-state kinetics and Monte Carlo simulations of biochemical reactors. Fundamentals of systems biology Synthetic biology.