Lagrangian field theory of reaction-diffusion

Phys Rev E Stat Nonlin Soft Matter Phys. 2009 Oct;80(4 Pt 2):046117. doi: 10.1103/PhysRevE.80.046117. Epub 2009 Oct 22.

Abstract

It is commonly accepted that reaction-diffusion equations cannot be obtained by a Lagrangian field theory. Guided by the well known connection between quantum and diffusion equations, we implement here a Lagrangian approach valid for totally general nonlinear reacting-diffusing systems which allows the definition of global conserved observables derived using Nöther's theorem.

MeSH terms

  • Animals
  • Body Patterning / physiology*
  • Computer Simulation
  • Diffusion
  • Growth / physiology*
  • Humans
  • Models, Biological*