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Mathematical Modelling for Bioengineering and Systems Biology
Last Updated: 2026-06-03 00:07:32
Abstract
Basic concepts and mathematical tools to explore biochemical reaction kinetics and biological network dynamics.
Objective
The course enables students to formulate, analyse, and simulate mathematical models of biochemical networks. To this end, the course covers basic mathematical concepts and tools to explore biochemical reaction dynamics as well as basic concepts from dynamical systems theory. The exercises serve to deepen the understanding of the presented concepts and the mathematical methods, and to train students to numerically solve and simulate mathematical models.
Content
Biochemical Reaction Modelling Basic Concepts from Linear Algebra & Differential Equations Mathematical Methods: Linear Stability Analysis, Phase Plane Analysis, Bifurcation Analysis Dynamical Systems: Switches, Oscillators, Adaptation Signal Propagation in Signalling Networks Parameter Estimation
Resources
Literature
The lecture course is not based on any textbook. The following textbooks offer further details on the mathematical methods that will be presented during the course: Recommended Reading: Kreyszig, Engineering Mathematics, Wiley Strogatz: Nonlinear Dynamics and Chaos Sivia, Data Analysis, OUP Wolkenhauer, Systems Biology Additional Reading Junker and Schreiber, Analysis of Biological Networks Keener and Sneyd, Mathematical Physiology, Springer Klipp et al, Systems Biology in Practice, Wiley Murray, Mathematical Biology, Springer Szallasi et al, System Modeling in Cellular Biology, MIT Press
General Information
- Language
- English
- Levels
- DR , MSC
- Frequency
- Yearly recurring
Examination
- Type
- session examination
- Mode
- written 120 minutes
- Aids
- None
Course Components
| Type | Title | Time & Place | Hours |
|---|---|---|---|
| lecture with exercise |
Mathematical Modelling for Bioengineering and Systems Biology
9:15-10 am: Tutorial
10:15-11 am: Inverted classroom - may be extended to 90 minutes in case of new recordings of material
The first lecture & tutorial take place in the second week of the semester. The first tutorial will offer an introduction to Matlab for absolute beginners. Please install Matlab before the tutorial.
Online course: rooms on campus are reserved for students wishing to follow the course from there.
|
No time listed | 3 h weekly |
Offered In
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Computational Biology and Bioinformatics Master (More information at: )
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Core Courses (The list of core courses is a closed list - no other courses can be added in this category. The assignment of the courses to the respective subcategory cannot be changed. Students must pass at least one course in each subcategory. A total of 40 ECTS must be acquired in the core course category, including the mandatory CBB seminar.)
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Doctorate Biosystems Science and Engineering (More Information at: )
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Biotechnology Master (More information at: )
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Electives (Open list - other courses (ETH or UNIBAS) may be taken as electives upon approval of the mentor.)
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Advanced Courses (The list of advanced courses is a closed list, no other course can be added to this category.)
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