Tantárgy adatlapja
The main objective of the course is to emphasize the importance of dynamics and the system theoretic framework in the understanding and control of molecular biological systems. to introduce the basic notions and tools of nonlinear systems and control theory, and analyze the dynamics and control of molecular processes of great importance via case studies.
The course covers the following topics: 1. Introduction: Modelling of dynamical phenomena and feedback in molecular dynamical systems. The role of dynamics and control in cells. 2. The system classes applied for the dynamical description and their properties.3. Fundamental state-space properties of nonlinear systems (stability, local observability and controllabiliy).4.Feedback linearization (zero-dynamics, relative degree, SISO-MIMO linearization)5.Reaction Kinetic Networks I: Assumptions, representations, validity of the model class, biological examples.6.Reaction Kinetic Networks II: Important relationships between the structure and the qualitative dynamics.7. Reaction Kinetic Networks III: Search and design of possible reaction kinetic structures according to predefined properties.8. The basics of enzyme-kinetics in system theoretical framework: Enzymatic regulation mechanisms (competitive/non competitive inhibition, product/substrate inhibition), Michaelis-Menten and Hill-kinetics, quasi-steady state assumption and its effect.9. Quantitative modelling of transcriptional, translational and protein-interaction processes, gene-regulation networks and dynamics.10. Dynamics of regulatory and signaling building blocks in the cell: Positive and negative feedback, saturation, oscillation.11. G-protein coupled receptors and their kinetical model. Calcium dynamics and connections with electrophysiological models.12. Molecular model of the glucose-insulin system, the analysis and application of regulation mechanisms.13. Analysis and design of energy-optimal metabolic pathways.
