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DOI: http://dx.doi.org/10.7551/978-0-262-32621-6-ch132
Pages 817-818
First published 30 July 2014

Spatial Patterning with the Rule of Normal Neighbors

Micah Brodsky

Abstract (Excerpt)

Based on developmental biology's Rule of Normal Neighbors, we develop a new mechanism for spatial patterning, exhibiting spontaneous symmetry breaking, regeneration, and approximate scale invariance. The desired pattern is represented as a topological adjacency graph, yielding an energy function that cells minimize through local interactions. Combined with a controller manipulating cells' mechanical properties, we demonstrate programmable geometric homeostasis for 3D cellular surfaces via simultaneous patterning and deformation.