Free boundary problems arising in biology
Avner Friedman · Discrete and Continuous Dynamical Systems - B · 2017
The present paper describes the general structure of free boundary problems for systems of PDEs modeling biological processes. It then proceeds to review two recent examples of the evolution of a plaque in the artery, and of a granuloma in the lung. Simplified versions of these models are formulated, and rigorous mathematical results and open questions are stated.