Type: | Ph.D.-level, Open University Language: Danish |
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Compulsory: Medium level of mathematical physics.
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Recommended semester: 7th - 9th semester
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Scope and form: Lectures and exercises
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Examination: Evaluation of report(s) (Pass/fail)
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Department: Informatics and Mathematical Modelling
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Aim: To describe non-linear coherent phenomena in biology. The main topics are excitable cells, non-linear dynamics of protein and DNA molecules, emergent structures, and the dynamics of the brain.
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Contents: Simple nonlinear diffusion. The Hodgkin-Huxley system and the FitzHugh-Nagumo equation. Hamiltonian lattices and the DST equation. Biological solitons. Perturbation and stability analysis. Coupled nerve impulses. Emergent structures in biology. Dynamics of the brain and philosophical perspectives.
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