Scale-invariance in reaction-diffusion models of spatial pattern formation

H. G. Othmer, E. Pate

Research output: Contribution to journalArticlepeer-review

73 Scopus citations


We propose a reaction-diffusion model of spatial pattern formation whose solutions can exhibit scale-invariance over any desired range for suitable choices of parameters in the model. The model does not invoke preset polarity or any other ad hoc distinction between cells and provides a solution to the French flag problem without sources at the boundary. Furthermore, patterns other than the polar pattern that usually arises first in a growing one-dimensional system described by Turing's model can be obtained. Evidence is given that suggests that the model may apply in the slug stage of Dictyostelium discoideum.

Original languageEnglish (US)
Pages (from-to)4180-4184
Number of pages5
JournalProceedings of the National Academy of Sciences of the United States of America
Issue number7 II
StatePublished - 1980

Fingerprint Dive into the research topics of 'Scale-invariance in reaction-diffusion models of spatial pattern formation'. Together they form a unique fingerprint.

Cite this