For the mathematical modeling of complex system behavior, dynamical systems play an increasing role. The flexibility and very rich phenomenology exhibited by such systems make them indispensible in this context. Control theory for dynamical systems is also a highly active field of research where a number of important results have been achieved recently.
This combined course and workshop deals with recent results regarding dynamical systems and control theory, primarily in differential geometric terms as well as the applications of these fields to biological systems, with an emphasis on various aspects of the immune system and on neural networks.
Sample Chapter(s)
Topics in Mathematical Economics — On Fixed Points and Structural Change (826 KB)
Contents:
- Topics in Mathematical Economics — On Fixed Points and Structural Change (Å E Andersson & W B Zhang)
- Dynamics and Neural Networks (M W Hirsch)
- History Dependence (C Högfors & S I Andersson)
- Topics in Nonlinear Control Theory (A Isidori)
- Evolution in a Population of Mutating Strategies (K Lindgren)
- Universal Computation and Undecidability in Cellular Automata (K Lindgren)
- An Introduction to system Identification Concepts (L Ljung)
- How is Genetic Information Generated? (J McCaskill)
- Real and Imaginary Regulatory Mechanisms in the Immune System (G Möller)
- Foliated Weight Spaces and Symmetries of Feedforward Networks (F Pasemann)
- Mathematical Approaches in Immunology (A S Perelson)
- Exact Steady-State Responses in Undamped Driven Nonlinear Oscillators (K E Thylwe & I Cohen)
Readership: Mathematicians, theoretical immunologists, researchers in neural networks, biophysicists, biomathematicians, bioinformatics people and theoretical physicists.
