Modeling the interaction of biological cells with a solidifying interface

  • Authors:

  • Anthony Chang;Jonathan A. Dantzig;Brian T. Darr;Allison Hubel

  • Affiliations:

  • Department of Mechanical Science and Engineering, University of Illinois at Urbana-Champaign, 1206 W. Green Street, Urbana, IL 61801, USA;Department of Mechanical Science and Engineering, University of Illinois at Urbana-Champaign, 1206 W. Green Street, Urbana, IL 61801, USA;Department of Mechanical Engineering, University of Minnesota, 111 Church Street SE, Minneapolis, MN 55255, USA;Department of Mechanical Engineering, University of Minnesota, 111 Church Street SE, Minneapolis, MN 55255, USA

  • Venue:
  • Journal of Computational Physics
  • Year:
  • 2007

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Abstract

In this article, we develop a modified level set method for modeling the interaction of particles with a solidifying interface. The dynamic computation of the van der Waals and drag forces between the particles and the solidification front leads to a problem of multiple length scales, which we resolve using adaptive grid techniques. We present a variety of example problems to demonstrate the accuracy and utility of the method. We also use the model to interpret experimental results obtained using directional solidification in a cryomicroscope.