Applications of a model for scale-invariant pattern formation in developing systems

Edward Pate, Hans G. Othmer

Research output: Contribution to journalArticlepeer-review

15 Scopus citations


A fundamental problem in developmental biology concerns the proportioning of the developing tissue of a morphallactic system into different cell types in a way that is independent of the overall size of the tissue. The two main models for positional, information in pattern formation, the source-sink models and the Turing reaction-diffusion models, have shortcomings that limit their applicability. In a previous paper, we described a model that can produce perfectly scale-invariant spatial patterns and analyzed some of its mathematical properties. In the present paper, we demonstrate some of the shortcomings of the standard reaction-diffusion models and discuss the applicability of our model to developmental systems.

Original languageEnglish (US)
Pages (from-to)1-8
Number of pages8
Issue number1
StatePublished - 1984

Bibliographical note

Funding Information:
Acknowlegements. This work was supported in part by an NIH grant (no. 29123).


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