Stochastic Turing patterns in a synthetic bacterial population

Proc Natl Acad Sci U S A. 2018 Jun 26;115(26):6572-6577. doi: 10.1073/pnas.1720770115. Epub 2018 Jun 11.

Abstract

The origin of biological morphology and form is one of the deepest problems in science, underlying our understanding of development and the functioning of living systems. In 1952, Alan Turing showed that chemical morphogenesis could arise from a linear instability of a spatially uniform state, giving rise to periodic pattern formation in reaction-diffusion systems but only those with a rapidly diffusing inhibitor and a slowly diffusing activator. These conditions are disappointingly hard to achieve in nature, and the role of Turing instabilities in biological pattern formation has been called into question. Recently, the theory was extended to include noisy activator-inhibitor birth and death processes. Surprisingly, this stochastic Turing theory predicts the existence of patterns over a wide range of parameters, in particular with no severe requirement on the ratio of activator-inhibitor diffusion coefficients. To explore whether this mechanism is viable in practice, we have genetically engineered a synthetic bacterial population in which the signaling molecules form a stochastic activator-inhibitor system. The synthetic pattern-forming gene circuit destabilizes an initially homogenous lawn of genetically engineered bacteria, producing disordered patterns with tunable features on a spatial scale much larger than that of a single cell. Spatial correlations of the experimental patterns agree quantitatively with the signature predicted by theory. These results show that Turing-type pattern-forming mechanisms, if driven by stochasticity, can potentially underlie a broad range of biological patterns. These findings provide the groundwork for a unified picture of biological morphogenesis, arising from a combination of stochastic gene expression and dynamical instabilities.

Keywords: Turing patterns; biofilm; signaling molecules; stochastic gene expression; synthetic biology.

Publication types

  • Research Support, N.I.H., Extramural
  • Research Support, Non-U.S. Gov't
  • Research Support, U.S. Gov't, Non-P.H.S.

MeSH terms

  • 4-Butyrolactone / analogs & derivatives
  • 4-Butyrolactone / physiology
  • Bacterial Proteins / physiology
  • Binding, Competitive
  • Computer Simulation
  • Diffusion
  • Gene Expression Regulation, Bacterial
  • Genes, Reporter
  • Homoserine / analogs & derivatives
  • Homoserine / physiology
  • Isopropyl Thiogalactoside / pharmacology
  • Ligases / physiology
  • Models, Biological*
  • Morphogenesis / drug effects
  • Morphogenesis / physiology*
  • Promoter Regions, Genetic / genetics
  • Pseudomonas aeruginosa / drug effects
  • Pseudomonas aeruginosa / growth & development*
  • Pseudomonas aeruginosa / metabolism
  • Quorum Sensing
  • Recombinant Proteins / metabolism
  • Stochastic Processes
  • Trans-Activators / physiology
  • Transcription Factors / physiology

Substances

  • Bacterial Proteins
  • LasR protein, Pseudomonas aeruginosa
  • N-(3-oxododecanoyl)homoserine lactone
  • N-butyrylhomoserine lactone
  • Recombinant Proteins
  • RhlR protein, Pseudomonas aeruginosa
  • Trans-Activators
  • Transcription Factors
  • Isopropyl Thiogalactoside
  • Homoserine
  • Ligases
  • RHLI protein, Pseudomonas aeruginosa
  • 4-Butyrolactone