Académie des Sciences - Laboratoire Jacques Louis Lions, Sorbonne Université, Paris
Some fundamental equations from mathematical biology
Equations of mathematical physics are numerous and define many basic principles of physics. The most famous being the Fundamental Principle of Dynamics described by the Newton equations. The Navier-Stokes, Maxwell, Boltzmann or Schroedinger equations illustrate the fundamental principles of electromagnetism, rarefied flows, quantum world.
Through some equations, which present mathematical interest due to their nonlinearities, we are going to illustrate several topics from biology: ecology and adaptative evolution, epidemic spread, neuroscience, cell movement, dynamics of tissue growth