Biomathematics

Additional Info

  • ECTS credits: 6
  • Semester: 3
  • University: University of L'Aquila
  • Objectives:

    The aim of the course is to introduce the students to the theories and the techniques for atomistic simulations of molecular systems. At the end of the course the student will have basic concepts of the statistical mechanics and the mathematics necessary for molecular modelling as well as the tools to understand the connections between the techniques and the chemical and physical problems.

  • Topics:

    ODE models. Single species population models. ODEs with delay. Dynamical systems. Multi species models: predator-prey, competition, mutualism. Models in epidemiology. SIR and XSI models. Modeling AIDS. Modelling reaction kinetics. Michaelis-Menten approach. Singular limits. PDE models. Diffusion equations. Nonlinear diffusion. Reaction diffusion equations. Threshold phenomena and travelling waves. Reaction diffusion systems. Turing instability. Models for chemotaxis. Blow-up of solutions. Models for structured populations.

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