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Cell Polarization by Rho Proteins01:21

Cell Polarization by Rho Proteins

Cell polarity is the asymmetric distribution of cellular and membrane components, making one side of the cell different from the other. This polarity is essential to many processes such as embryogenesis, axon migration, glucose transport across epithelial cells, and directional cell migration. A migrating cell responds to intracellular or extracellular signals via molecular cascades that reorganize the actin cytoskeleton to establish this polarity. In these cells, the Rho family proteins Cdc42,...
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The C. elegans Intestine As a Model for Intercellular Lumen Morphogenesis and In Vivo Polarized Membrane Biogenesis at the Single-cell Level: Labeling by Antibody Staining, RNAi Loss-of-function Analysis and Imaging
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From simple to detailed models for cell polarization.

Leah Edelstein-Keshet1, William R Holmes, Mark Zajac

  • 1Department of Mathematics, University of British Columbia, , Vancouver, British Columbia, Canada , V6T 1Z2.

Philosophical Transactions of the Royal Society of London. Series B, Biological Sciences
|September 25, 2013
PubMed
Summary

This study introduces a new mathematical method, local perturbation analysis, to compare different cell polarization models. This approach simplifies model development and reveals key molecular behaviors for better understanding cell polarization dynamics.

Keywords:
cell polarizationmathematical analysispattern formationreaction–diffusion equations

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Area of Science:

  • Mathematical Biology
  • Cellular Dynamics
  • Computational Biology

Background:

  • Numerous mathematical models exist for cell polarization, varying in complexity and approach (functional vs. mechanistic).
  • Comparing these diverse models is challenging due to differences in detail and methodology.
  • Existing models contribute to understanding cell polarization but lack a unified comparison framework.

Purpose of the Study:

  • To present a standardized method for comparing diverse cell polarization models.
  • To introduce and demonstrate the utility of local perturbation analysis for model comparison.
  • To highlight novel simulation approaches for capturing complex cellular behaviors.

Main Methods:

  • Development and application of local perturbation analysis for comparing mathematical models of cell polarization.
  • Inclusion of both elementary and detailed mechanistic models for comparative analysis.
  • Utilizing one-dimensional, two-dimensional, and deforming two-dimensional simulations.

Main Results:

  • Local perturbation analysis effectively simplifies and accelerates the development and comparison of cell polarization models.
  • The method reveals the impact of model extensions, parameter changes, and genetic manipulations (knock-out/over-expression).
  • Simulations in deforming 2D environments identified behaviors missed by traditional methods.

Conclusions:

  • Local perturbation analysis offers a powerful tool for unifying and advancing the study of cell polarization models.
  • This approach facilitates a deeper understanding of the mechanisms driving cell polarization.
  • Advanced simulation techniques are crucial for uncovering complex cellular dynamics.