Some open questions concerning biological growth

Details Some open questions concerning biological growth Some open questions concerning biological growth

2009-12-14

arxiv.org/abs/0912.2717v1

Invited chapter in the special volume ''The Mathematics of Darwin'' of Arbor (CSIC Press), edited by Manuel de Leon Rodriguez

Physics

Condensed Matter

Statistical Mechanics

Invited article in "The Mathematics of Darwin", special issue of Arbor (CSIC Press)

Scientific paper

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.

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