636-0021-00L  Mathematical Modelling in Systems Biology

SemesterAutumn Semester 2016
LecturersD. Iber
Periodicityyearly recurring course
Language of instructionEnglish

AbstractBasic concepts and mathematical tools to explore biochemical reaction kinetics and biological network dynamics.
ObjectiveThe aim of the course is to provide an introductory overview of mathematical and computational methods to analyse biological network dynamics.
Content1. Introduction to Mathematical Modeling
2. Introduction to Biochemical Reaction Modeling
3. Model Analysis: Phase Plane
4. Model Analysis: Linear Stability Analysis
5. Model Analysis: Bifurcation Analysis
6. Regulatory Feedback: Switches
7. Regulatory Feedback: Adaptation
8. Regulatory Feedback: Oscillations and Delay Equations
9. Receptor Signaling and Signaling Cascades
10. Network Properties: Sensitivity and Robustness
11. Introduction to Parameter Estimation
Lecture notesLink
Literature- Wolkenhauer, Systems Biology, http: // www.sbi.uni-rockstock.de/files/p_sb.pdf - Keener and Sneyd, Mathematical Physiology, Springer - Klipp et al, Systems Biology in Practice, Wiley - Kreyszig, Engineering Mathematics, Wiley
Prerequisites / NoticeIntroductory courses in Mathematics (Linear Algebra, Differential Equations, Numerics) and basic concepts of programming.