Ordered Hexagonal Patterns via Notch-Delta Signaling

@article{Teomy2019OrderedHP,
  title={Ordered Hexagonal Patterns via Notch-Delta Signaling},
  author={Eial Teomy and David A. Kessler and Herbert Levine},
  journal={bioRxiv},
  year={2019}
}
Many developmental processes in biology utilize Notch-Delta signaling to construct an ordered pattern of cellular differentiation. This signaling modality is based on nearest-neighbor contact, as opposed to the more familiar mechanism driven by the release of diffusible ligands. Here, we show that this “juxtracrine” property allows for an exact treatment of the pattern formation problem via a system of nine coupled ordinary differential equations. Furthermore, we show that the possible patterns… 

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