# American Institute of Mathematical Sciences

January  2018, 23(1): 193-202. doi: 10.3934/dcdsb.2018013

## Free boundary problems arising in biology

 Department of Mathematics, The Ohio State University, Columbus, OH 43210, USA

Received  December 2016 Revised  April 2017 Published  January 2018

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.

Citation: Avner Friedman. Free boundary problems arising in biology. Discrete & Continuous Dynamical Systems - B, 2018, 23 (1) : 193-202. doi: 10.3934/dcdsb.2018013
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##### References:
A wound $W(t)$ with partially healed tissue $\Omega(t)$
The plaque occupies the shaded area
Interplay among cholesterol, macrophages and foam cells
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