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Investigating local negative feedback of Rac activity by mathematical models and cell-motility simulations.
Jupiter Algorta1, Jason P Town2,3, Orion D Weiner2,3
1Department of Mathematics, University of British Columbia, 1984 Mathematics Road, Vancouver, BC V6T 1Z2, Canada.
Cells use a Rac-inhibitor-PIP3 circuit for robust polarization and directed motion. This minimal feedback system enables cells to adapt quickly to changing directional cues, improving gradient sensing.
Area of Science:
- Cell biology
- Biophysics
- Mathematical modeling
Background:
- Cellular polarization is crucial for directed cell migration.
- Neutrophil-like HL-60 cells exhibit complex polarization dynamics.
- Optogenetic studies highlight the role of Rac signaling in cell motility.
Purpose of the Study:
- To investigate the minimal molecular circuit governing cell polarization and directed motion.
- To model the interactions between Rac, its inhibitor, and PIP3.
- To explain experimental data from optogenetic manipulation of cell polarity.
Main Methods:
- Adaptation of a previous mathematical model for cell polarity.
- Development of a partial differential equation (PDE) model.
- Parameter fitting to temporal and spatial experimental data.
- 2D simulations of cell shape, motility, and stimulus response.
Main Results:
- The Rac-inhibitor-PIP3 circuit accurately explains optogenetic experimental data, including unusual cell trajectories.
- This circuit is identified as the minimal system required for observed cell behaviors.
- The model demonstrates improved gradient sensing capabilities under noisy and dynamic conditions.
Conclusions:
- A minimal Rac-inhibitor-PIP3 feedback circuit is essential for robust and flexible cell polarization.
- This circuit enables rapid adaptation to changing directional cues.
- The findings provide insights into the fundamental mechanisms of cell migration and gradient sensing.
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