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Related Experiment Videos

Gene expression time delays and Turing pattern formation systems.

E A Gaffney1, N A M Monk

  • 1The School of Mathematics, The University of Birmingham, Edgbaston, Birmingham, B15 2TT, UK. eag@for.mat.bham.ac.uk

Bulletin of Mathematical Biology
|June 24, 2006
PubMed
Summary

Gene expression time delays significantly increase pattern formation time in cellular systems. These delays can even cause Turing instability failure on growing domains, impacting reaction-diffusion models.

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Area of Science:

  • Mathematical Biology
  • Systems Biology
  • Biophysics

Background:

  • Cellular systems dynamics are influenced by gene expression time delays.
  • Reaction-diffusion mechanisms are crucial for pattern formation in biological systems.

Purpose of the Study:

  • Investigate the impact of gene expression time delays on pattern formation.
  • Analyze effects on stationary and exponentially growing domains.

Main Methods:

  • Simulated a one-dimensional reaction-diffusion model.
  • Incorporated explicit time delays for transcription and translation.
  • Examined pattern formation on static and dynamic domains.

Main Results:

  • Increased time delays dramatically lengthen pattern initiation and stabilization times.

Related Experiment Videos

  • Time delays can cause Turing instability failure on rapidly growing domains.
  • Linear analysis fails to predict these delay-induced instabilities.

    • Conclusions:

    • Explicit gene expression time delays are critical for accurate modeling of cellular pattern formation.
    • Ignoring these delays can lead to significant inaccuracies in reaction-diffusion models.
    • Findings emphasize the importance of temporal dynamics in biological pattern development.