Some open questions concerning biological growth
Statistical Mechanics
2011-10-04 v1 Mathematical Physics
math.MP
Quantitative Methods
Abstract
We briefly review the properties of radially growing interfaces and their connection to biological growth. We focus on simplified models which result from the abstraction of only considering domain growth and not the interface curvature. Linear equations can be exactly solved and the phenomenology of growth can be inferred from the explicit solutions. Nonlinear equations pose interesting open questions that are summarized herein.
Cite
@article{arxiv.0912.2717,
title = {Some open questions concerning biological growth},
author = {Carlos Escudero},
journal= {arXiv preprint arXiv:0912.2717},
year = {2011}
}
Comments
Invited article in "The Mathematics of Darwin", special issue of Arbor (CSIC Press)