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Cell sorting by differential cell motility: a model for pattern formation in Dictyostelium.

Tamiki Umeda1, Kei Inouye

  • 1Department of Marine Engineering, Faculty of Maritime Sciences, Kobe University, Higashinada-ku, Kobe 658-0022, Japan. umeda@maritime.kobe-u.ac.jp

Journal of Theoretical Biology
|December 4, 2003
PubMed
Summary

A mathematical model explains cellular slime mold (Dictyostelium discoideum) slug development. Cell motility properties and forces determine slug shape and cell distribution during migration.

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Area of Science:

  • Developmental Biology
  • Mathematical Biology
  • Cell Biology

Background:

  • Cellular slime molds, like Dictyostelium discoideum, exhibit complex morphogenesis during their slug stage.
  • A defined spatial distribution of prespore and prestalk cells is observed in migrating slugs.

Purpose of the Study:

  • To develop a continuous mathematical model for cell-type distribution in Dictyostelium discoideum slugs.
  • To investigate how cell motility properties influence slug shape and internal cell patterning.

Main Methods:

  • A continuous mathematical model based on the balance of forces in individual cells was formulated.
  • Cell types were assigned distinct properties: motive force, resistance to movement, and diffusion coefficient.
  • Numerical simulations were performed using a moving particle method in two-dimensional space.

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Main Results:

  • Model analysis revealed that parameter combinations and slug speed dictate slug's 3D shape and cell distribution.
  • Parameter sets were optimized using experimental data on slug motive force and velocity.
  • Simulations successfully replicated key aspects of slug morphogenesis, including cell sorting and migration.

Conclusions:

  • The developed mathematical model accurately predicts cell-type distribution and slug morphogenesis in Dictyostelium discoideum.
  • Cellular properties and their interactions are crucial drivers of collective cell behavior and pattern formation.
  • This model provides a framework for understanding the biophysical mechanisms underlying slug development.