Three-dimensional simulations of the cell growth and cytokinesis using the immersed boundary method

Yibao Li, Junseok Kim

Research output: Contribution to journalArticlepeer-review

7 Citations (Scopus)


In this paper, we present a three-dimensional immersed boundary method to simulate the eukaryotic cell growth and cytokinesis. The proposed model and numerical method are a non-trivial three-dimensional extension of the previous work (Li et al., 2012). Unstructured triangular meshes are employed to discretize the cell membrane. The nodes of the surface mesh constitute a set of Lagrangian control points used to track the motion of the cell. A surface remeshing algorithm is applied to prevent mesh distortion during evolution. We also use a volume-conserving algorithm to maintain the mass of cells in cytokinesis. The ability of the proposed method to simulate cell growth and division processes is numerically demonstrated.

Original languageEnglish
Pages (from-to)118-127
Number of pages10
JournalMathematical Biosciences
Publication statusPublished - 2016


  • Cleavage furrow
  • Cytokinesis
  • Immersed boundary method
  • Surface remeshing algorithm
  • Volume correction algorithm

ASJC Scopus subject areas

  • Statistics and Probability
  • Modelling and Simulation
  • Biochemistry, Genetics and Molecular Biology(all)
  • Immunology and Microbiology(all)
  • Agricultural and Biological Sciences(all)
  • Applied Mathematics


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