PSU Mark
Eberly College of Science Mathematics Department

Meeting Details

For more information about this meeting, contact Leonid Berlyand, Mark Levi, Alexei Novikov.

Title:Phase-Field PDE Model of Self-Polarization and Cell Movement
Seminar:Applied Analysis Seminar
Speaker:Igor Aronson, Argonne Nat. Lab & Northwestern University
Abstract:
Computational modelling of movement of living motile cells on substrates is a formidable challenge; regulatory pathways are intertwined and forces that influence cell motion are not fully quantified. Additional challenges arise from the need to describe a moving deformable cell boundary. Here, we present a simple mathematical model coupling cell shape dynamics, treated in the framework of the Ginzburg-Landau-type PDE for auxiliary mass density (phase field), to a partial differential equation describing the mean orientation (polarization) of the cell's cytoskeletal network [1]. The model successfully reproduces the primary phenomenology of cell motility: discontinuous onset of motion, diversity of cell shapes and shape oscillations. The results are in qualitative agreement with recent experiments on motility of keratocyte cells and cell fragments. The asymmetry of the shapes is captured to a large extent in this simple model, which may prove useful for the interpretation of recent experiments and predictions of cell dynamics under various conditions. The developed model can be useful for the design of self-healing synthetic materials capable to deliver healing self-propelled agents to damaged areas [2]. References: 1. Falko Ziebert, Sumanth Swaminathan, and Igor S. Aranson, Model for self-polarization and motility of keratocyte fragments J. R. Soc. Interface published online before print October 19, 2011 2. German V. Kolmakov, Alexander Schaefer, Igor Aranson and Anna C. Balazs, Designing mechano-responsive microcapsules that undergo self-propelled motion, Soft Matter, 2012, 8, 180

Room Reservation Information

Room Number:MB106
Date:01 / 17 / 2012
Time:04:00pm - 05:00pm