Dynamics of Cell Shape and Forces on Micropatterned Substrates Predicted by a Cellular Potts Model

Abstract

Micropatterned substrates are often used to standardize cell experiments and to quantitatively study the relation between cell shape and function. Moreover, they are increasingly used in combination with traction force microscopy on soft elastic substrates. To predict the dynamics and steady states of cell shape and forces without any a priori knowledge of how the cell will spread on a given micropattern, here we extend earlier formulations of the two-dimensional cellular Potts model. The third dimension is treated as an area reservoir for spreading. To account for local contour reinforcement by peripheral bundles, we augment the cellular Potts model by elements of the tension-elasticity model. We first parameterize our model and show that it accounts for momentum conservation. We then demonstrate that it is in good agreement with experimental data for shape, spreading dynamics, and traction force patterns of cells on micropatterned substrates. We finally predict shapes and forces for micropatterns that have not yet been experimentally studied.

arXiv commentRevtex, 32 pages, 11 PDF figures, to appear in Biophysical Journal

References in corpus (7)

• Physics of adherent cells
• Cell adhesion and cortex contractility determine cell patterning in the Drosophila retina
• Scaling of Traction Forces with Size of Cohesive Cell Colonies
• Effect of adhesion geometry and rigidity on cellular force distributions
• Force localization in contracting cell layers
• Contractile network models for adherent cells
• Controlling cell-matrix traction forces by extracellular geometry

Cited by in corpus (6)

• Computational models for active matter
• Cell contractility facilitates alignment of cells and tissues to static uniaxial stretch
• An efficient Cellular Potts Model algorithm that forbids cell fragmentation
• Inferring nonlinear dynamics of cell migration
• Shape matters: Inferring the motility of confluent cells from static images
• Cell mechanics, environmental geometry, and cell polarity control cell-cell collision outcomes