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

Yibao Li, Junseok Kim

Research output: Contribution to journalArticlepeer-review

8 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

Bibliographical note

Funding Information:
Y.B. Li is supported by the Fundamental Research Funds for the Central Universities, China (no. XJJ2015068) and supported by China Postdoctoral Science Foundation, China (no. 2015M572541 ). The corresponding author (J.S. Kim) was supported by the National Research Foundation of Korea, South Korea (NRF) grant funded by the Korea government (MSIP) (NRF-2014R1A2A2A01003683). The authors would like to thank Jung-il Choi, Darae Jeong, Jaemin Shin, and Ha-kyu Song for their very helpful comments on this paper. The authors are also grateful for the reviewers whose valuable suggestions and comments have significantly improved the quality of this paper.

Publisher Copyright:
© 2015 Elsevier Inc.

Keywords

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

ASJC Scopus subject areas

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

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