Open Access Methodology article

Modeling cellular deformations using the level set formalism

Liu Yang1, Janet C Effler1, Brett L Kutscher1, Sarah E Sullivan1, Douglas N Robinson2 and Pablo A Iglesias1*

  • * Corresponding author: Pablo A Iglesias pi@jhu.edu

  • † Equal contributors

Author Affiliations

1 Electrical & Computer Engineering, Johns Hopkins University, Baltimore, MD 21218, USA

2 Cell Biology, Johns Hopkins School of Medicine, Baltimore, MD 21205, USA

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BMC Systems Biology 2008, 2:68  doi:10.1186/1752-0509-2-68

Published: 24 July 2008

Abstract

Background

Many cellular processes involve substantial shape changes. Traditional simulations of these cell shape changes require that grids and boundaries be moved as the cell's shape evolves. Here we demonstrate that accurate cell shape changes can be recreated using level set methods (LSM), in which the cellular shape is defined implicitly, thereby eschewing the need for updating boundaries.

Results

We obtain a viscoelastic model of Dictyostelium cells using micropipette aspiration and show how this viscoelastic model can be incorporated into LSM simulations to recreate the observed protrusion of cells into the micropipette faithfully. We also demonstrate the use of our techniques by simulating the cell shape changes elicited by the chemotactic response to an external chemoattractant gradient.

Conclusion

Our results provide a simple but effective means of incorporating cellular deformations into mathematical simulations of cell signaling. Such methods will be useful for simulating important cellular events such as chemotaxis and cytokinesis.