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

Yibao Li, Junseok Kim

Research output: Contribution to journalArticle

2 Citations (Scopus)

Abstract

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
Volume271
DOIs
Publication statusPublished - 2016

Fingerprint

Immersed Boundary Method
Cytokinesis
cytokinesis
Cell growth
cell growth
Three-dimensional
Cell
Cell Growth Processes
Cell membranes
Growth
Numerical methods
Simulation
Eukaryotic Cells
Cell Division
cell membranes
eukaryotic cells
cell division
Mesh
methodology
Cell Membrane

Keywords

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

ASJC Scopus subject areas

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

Cite this

Three-dimensional simulations of the cell growth and cytokinesis using the immersed boundary method. / Li, Yibao; Kim, Junseok.

In: Mathematical Biosciences, Vol. 271, 2016, p. 118-127.

Research output: Contribution to journalArticle

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