An immersed boundary method for simulating a single axisymmetric cell growth and division

Yibao Li, Ana Yun, Junseok Kim

Research output: Contribution to journalArticle

10 Citations (Scopus)

Abstract

For an animal cell, cytokinesis is the process by which a cell divides its cytoplasm to produce two daughter cells. We propose a new mathematical model for simulating cytokinesis. The proposed model is robust and realistic in deciding the position of the cleavage furrow and in defining the contractile force leading to cell division. We use an immersed boundary method to track the morphology of cell membrane during cytokinesis. For accurate calculation, we adaptively add and delete the immersed boundary points. We perform numerical simulations on the axisymmetric domain to have sufficient resolution and to incorporate three-dimensional effects such as anisotropic surface tension. Finally, we investigate the effects of each model parameter and compare a numerical result with the experimental data to demonstrate the efficiency and accuracy of our proposed method.

Original languageEnglish
Pages (from-to)653-675
Number of pages23
JournalJournal of Mathematical Biology
Volume65
Issue number4
DOIs
Publication statusPublished - 2012 Sep 1

Fingerprint

Immersed Boundary Method
Cytokinesis
cytokinesis
Cell growth
Cell Division
cell division
cell growth
Division
Cells
Cell
Cell membranes
Growth
Surface tension
Animals
Surface Tension
surface tension
cells
Mathematical models
Immersed Boundary
furrows

Keywords

  • Axisymmetric simulation
  • Cleavage furrow
  • Cytokinesis
  • Immersed boundary method

ASJC Scopus subject areas

  • Agricultural and Biological Sciences (miscellaneous)
  • Applied Mathematics
  • Modelling and Simulation

Cite this

An immersed boundary method for simulating a single axisymmetric cell growth and division. / Li, Yibao; Yun, Ana; Kim, Junseok.

In: Journal of Mathematical Biology, Vol. 65, No. 4, 01.09.2012, p. 653-675.

Research output: Contribution to journalArticle

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