A finite element model of cell deformation during magnetic bead twisting

Srboljub M. Mijailovich, Milos Kojic, Miroslav Zivkovic, Ben Fabry, Jeffrey J. Fredberg

Research output: Contribution to journalArticle

166 Scopus citations

Abstract

Magnetic twisting cytometry probes mechanical properties of an adherent cell by applying a torque to a magnetic bead that is tightly bound to the cell surface. Here we have used a three-dimensional finite element model of cell deformation to compute the relationships between the applied torque and resulting bead rotation and lateral bead translation. From the analysis, we computed two coefficients that allow the cell elastic modulus to be estimated from measurements of either bead rotation or lateral bead translation, respectively, if the degree of bead embedding and the cell height are known. Although computed strains in proximity of the bead can be large, the relationships between applied torque and bead rotation or translation remain virtually linear up to bead rotations of 15°, above which geometrical nonlinearities become significant. This appreciable linear range stands in contrast to the intrinsically nonlinear force-displacement relationship that is observed when cells are indented during atomic force microscopy. Finally, these computations support the idea that adhesive forces are sufficient to keep the bead firmly attached to the cell surface throughout the range of working torques.

Original languageEnglish (US)
Pages (from-to)1429-1436
Number of pages8
JournalJournal of applied physiology
Volume93
Issue number4
DOIs
StatePublished - Oct 2002

Keywords

  • Bead embedding
  • Cell height
  • Cell stiffness
  • Elastic modulus
  • Magnetic twisting cytometry

ASJC Scopus subject areas

  • Physiology
  • Endocrinology
  • Orthopedics and Sports Medicine
  • Physical Therapy, Sports Therapy and Rehabilitation

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