Objectives and competences
Students acquire basic theoretical knowledge in complex systems and are able to use the knowledge to solve problems with the use of mathematical tools.
Content (Syllabus outline)
Definition of complexity as a state between order and disorder.
Simplicity on the subatomic scale and complexity on the macroscopic scale.
Reasons behind scaling behaviour.
DNA and complexity, onset of patterns in leaving creatures.
Granular systems as model systems of fluids, solids and even crystal states.
The kinetics of biological systems:
- systems of metabolism and transport (compartmental analysis, models of biochemical reactions, pharmacokinetic models)
- model approaches to some complex biological processes (models of propagation and ecological interactions, models of growth and differentiation, models of evolution, models of neuronal processes)
- diffusion system and pattern growth
Learning and teaching methods
Lectures and experimental lectures (theoretical introduction by explanation and discussion, numerical solving of specific problems, demonstration experiments during lectures) theoretical excercises (work with text, work with graphic elements, use of simulations)
elements of flipped learning
Teaching and learning are done through the didactic use of ICT.
Intended learning outcomes - knowledge and understanding
On completion of this course students will be able to:
- use simple nonlinear equations to demonstrate key nonlinear commonly observed features;
- describe basic properties of fractal and chaotic systems;
- description of qualitative behaviour of system as a function of symmetry.
Intended learning outcomes - transferable/key skills and other attributes
Understanding of basic processes in the nature giving rise to complexity and gained global approach to solving problems.
Readings
1. R. Glaser, Biophysics, (4. izdaja), Springer Verlag, Berlin, 1996.
2. H. Haken, Synergetics. An Introduction (2. izdaja), Springer Verlag, New York, 1978.
3. P.G. de Gennes, Scaling Concepts in Polymer Physics, Cornell University Press, Itaca 1979
4. A.J. Lichtenberg, Regular and Stohastic Motion, Springer Verlag, Heidelberg, 1983
5. Članki v Science, Nature, Scientific American.
Prerequisits
None.
Recommended is knowledge of classical and modern physics
Additional information on implementation and assessment Pisni izpit (50%)
Ustni izpit (50%)
For a successfully finished course, both oral and written exams have to be positive.
