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Quantitative Analysis of Cell Edge Dynamics during Cell Spreading
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Published on: May 22, 2021

Morphogenetic action through flux-limited spreading.

M Verbeni1, O Sánchez, E Mollica

  • 1Departamento de Matemática Aplicada, Universidad de Granada, 18071-Granada, Spain.

Physics of Life Reviews
|July 9, 2013
PubMed
Summary

Flux-limited spreading (FLS) models morphogen transport, revealing propagation velocity as a key biological parameter. This approach accurately predicts morphogen gradient dynamics in embryonic development, unlike traditional diffusion models.

Keywords:
Filopodia-like structuresFlux-limitedHedgehogMorphogenetic gradients

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Area of Science:

  • Developmental Biology
  • Cell Signaling
  • Biophysics

Background:

  • Morphogen gradients are crucial for cellular differentiation.
  • Current models using linear diffusion fail to capture biological complexities.
  • Hedgehog (Hh) morphogens may not diffuse freely.

Purpose of the Study:

  • To develop a more biologically realistic model for morphogen transport.
  • To introduce flux-limited spreading (FLS) to account for restricted morphogen propagation.
  • To analyze the role of propagation velocity in morphogen gradient formation.

Main Methods:

  • Introduced flux-limited spreading (FLS) model for nonlinear morphogen transport.
  • Modeled intercellular Hedgehog-Gli signaling and morphogen gradients.
  • Applied FLS to Sonic Hedgehog (Shh) gradient formation in the vertebrate embryonic neural tube.
  • Utilized experimental data on Hh spreading and published data.

Main Results:

  • FLS model predicts concentration fronts and gradient evolution over time.
  • Identified morphogen propagation velocity as a critical biological parameter.
  • FLS accounts for biological constraints like extracellular binding and direct cell-cell connections (nanotubes, cytonemes).
  • Measured morphogen particle velocity in cell extensions.

Conclusions:

  • Flux-limited spreading provides a more accurate framework for modeling morphogen gradients than linear diffusion.
  • Propagation velocity and direct intercellular transport mechanisms are key determinants of morphogen gradient dynamics.
  • This model enhances understanding of embryonic development and cell signaling.