PDE Modeling in Life Sciences (27 hours): Program

The course will alternate lectures and active participation of students, and contains a mix of theory, computations and numerical simulations.
This course is part of an experimental COIL (Collaborative Online International Learning) initiative which includes in particular participation of students from Morroco, China and United States.
  1. Some PDE's in biological context.
  2. On some bifurcations arising in RD systems.
  3. Pattern Formation
  4. Travelling Waves

Schedule

  1. Lecture 1: Some PDE's in biological context: Fisher-KPP equation, Hodgkin-Huxley
  2. Lecture 2: Some PDE's in biological context: FitzHugh-Nagumo. Homework
  3. Lecture 3-5:Turing Bifurcation
  4. Lecture 6-8: Hopf Bifurcation
  5. Lecture 9-11: Pattern Formation
  6. Lecture 11-14: Travelling Waves