Physics in Medicine: Fundamentals of Analyzing Biomedical Signals (A) - physics772
| Course | Physics in Medicine: Fundamentals of Analyzing Biomedical Signals (A) |
|---|---|
| Course No. | physics772 |
| Category | Type | Language | Teaching hours | CP | Semester |
|---|---|---|---|---|---|
| Elective | Lecture with exercises | English | 3+1 | 6 | WT |
Preparation: Elementary thermodynamics; principles of quantum mechanics, principles of condensed matter
Form of Testing and Examination: Requirements for the examination (written or oral): successful work with the exercises
Length of Course: 1 semester
Aims of the Course: Understanding of the principles of physics and the analysis of complex systems
Contents of the Course:
Introduction to the theory of nonlinear dynamical systems; selected phenomena (e.g. noise-induced transition, stochastic resonance, self-organized criticality); Nonlinear time series analysis: state-space reconstruction, dimensions, Lyapunov exponents, entropies, determinism, synchronization, interdependencies, surrogate concepts, measuring non-stationarity.
Applications: nonlinear analysis of biomedical time series (EEG, MEG, EKG)
Recommended Literature:
Lehnertz: Skriptum zur Vorlesung
E. Ott; Chaos in dynamical systems (Cambridge University Press 2. Aufl. 2002)
H. Kantz, T. Schreiber ; Nonlinear time series analysis. (Cambridge University Press 2:Aufl. 2004).
A. Pikovsky, M. Rosenblum, J. Kurths; Synchronization: a universal concept in nonlinear sciences
(Cambridge University Press 2003)