Title
Modelling Cell Polarization Driven By Synthetic Spatially Graded Rac Activation
Abstract
The small GTPase Rac is known to be an important regulator of cell polarization, cytoskeletal reorganization, and motility of mammalian cells. In recent microfluidic experiments, HeLa cells endowed with appropriate constructs were subjected to gradients of the small molecule rapamycin leading to synthetic membrane recruitment of a Rac activator and direct graded activation of membrane-associated Rac. Rac activation could thus be triggered independent of upstream signaling mechanisms otherwise responsible for transducing activating gradient signals. The response of the cells to such stimulation depended on exceeding a threshold of activated Rac. Here we develop a minimal reaction-diffusion model for the GTPase network alone and for GTPase-phosphoinositide crosstalk that is consistent with experimental observations for the polarization of the cells. The modeling suggests that mutual inhibition is a more likely mode of cell polarization than positive feedback of Rac onto its own activation. We use a new analytical tool, Local Perturbation Analysis, to approximate the partial differential equations by ordinary differential equations for local and global variables. This method helps to analyze the parameter space and behaviour of the proposed models. The models and experiments suggest that (1) spatially uniform stimulation serves to sensitize a cell to applied gradients. (2) Feedback between phosphoinositides and Rho GTPases sensitizes a cell. (3) Cell lengthening/flattening accompanying polarization can increase the sensitivity of a cell and stabilize an otherwise unstable polarization.
Year
DOI
Venue
2012
10.1371/journal.pcbi.1002366
PLOS COMPUTATIONAL BIOLOGY
Keywords
Field
DocType
computational biology,parameter space,reaction diffusion,ordinary differential equation,perturbation analysis,partial differential equation,cytosol,cell polarity,enzyme activation,positive feedback,computer simulation
Cdc42 GTP-Binding Protein,Receptor Cross-Talk,Biology,Rac GTP-Binding Proteins,Cell biology,Cell membrane,Positive feedback,GTPase,Small GTPase,Cell polarity
Journal
Volume
Issue
ISSN
8
6
1553-7358
Citations 
PageRank 
References 
5
0.95
6
Authors
4
Name
Order
Citations
PageRank
William R. Holmes14711.60
Benjamin Lin2252.37
Andre Levchenko36613.48
Leah Edelstein-Keshet4467.65