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L-systems and Voronoi patterns: uses in research

Also: Lindenmayer systems, Voronoi tessellation, cell tiling

Simple rewrite rules that grow plant-like branching, and tilings that approximate how cells pack.

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Timeline

  1. 1968 L-systems
  2. 2016 How well Voronoi tiles fit real cells

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lab biology 1968

L-systems

Lindenmayer introduced mathematical models of cellular interactions in development, the origin of L-systems.

As reported in: Lindenmayer (1968). Mathematical models for cellular interactions in development I. Filaments with one-sided inputs. Journal of Theoretical Biology. doi:10.1016/0022-5193(68)90079-9

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lab biology 2016

How well Voronoi tiles fit real cells

Kaliman and colleagues tested Voronoi tessellations built from nucleus centres against real epithelial cell shapes and defined the limits of the method's accuracy.

As reported in: Kaliman, Jayachandran, Rehfeldt et al. (2016). Limits of Applicability of the Voronoi Tessellation Determined by Centers of Cell Nuclei to Epithelium Morphology. Frontiers in Physiology. doi:10.3389/fphys.2016.00551

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