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The course provides an introduction to the development and analysis of mathematical models for biological processes with a particular focus on the analysis of cellular signaling networks.
This course will present mathematical approaches to key spatio-temporal problems in biology. A general introduction to the biological aspects and to the physical properties of cells and tissues will be provided tailored to students with no background in biology. A wide range of mathematical techniques will be presented as part of the course, including concepts from non-linear dynamics (ODE and PDE models), stochastic techniques (SDE, Master equations, Monte Carlo simulations), and thermodynamic descriptions. The course assumes no background in biology but a good foundation regarding mathematical and computational techniques.
The course introduces computational methods for systems biology under 'real-world' conditions of limiting biological knowledge, molecular noise, and spatial effects. The focus is on systems identification for mechanistic models. Methods discussed include uncertainty evaluation, experimental design, abstract systems descriptions, stochastic modeling and analysis, and spatially distributed models.
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