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Threshold response to stochasticity in morphogenesis.

George Courcoubetis1, Sammi Ali2, Sergey V Nuzhdin2

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Summary
This summary is machine-generated.

Biological development achieves robustness against randomness through inherent mechanisms. This study models the Drosophila eye disc, revealing a sigmoidal response to transcriptional noise, maintaining pattern order up to a critical threshold.

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Area of Science:

  • Developmental Biology
  • Systems Biology
  • Mathematical Modeling

Background:

  • Biological development forms complex, ordered structures from stochastic components.
  • Robustness in biological systems is often attributed to gene regulatory networks and error correction.
  • The Drosophila eye disc provides a model system for studying pattern formation during development.

Purpose of the Study:

  • To explore developmental processes with inherent robustness against stochasticity.
  • To quantify pattern order in the Drosophila eye disc using a mathematical model.
  • To investigate the impact of parametric stochasticity on developmental pattern formation.

Main Methods:

  • Development of a partial differential equation (PDE) mathematical model for spatio-temporal processes.
  • Inclusion of parametric stochasticity within the model.
  • Definition and application of measures to quantify spatial pattern order.

Main Results:

  • A universal sigmoidal response to increasing transcriptional noise was observed.
  • Ordered spatial patterns persisted up to a specific threshold of noise in model parameters.
  • Beyond the threshold, increased noise led to a rapid loss of pattern order.

Conclusions:

  • Inherent robustness in developmental processes allows tolerance of genetic variation and noise.
  • The observed sigmoidal dependence provides a mechanism for maintaining phenotypic stability.
  • This robustness enables natural populations to tolerate significant genetic variation without phenotypic changes.