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

Yibao Li; Junseok Kim

doi:10.1016/j.mbs.2015.11.005

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

Yibao Li, Junseok Kim

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

5 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 language	English
Pages (from-to)	118-127
Number of pages	10
Journal	Mathematical Biosciences
Volume	271
DOIs	https://doi.org/10.1016/j.mbs.2015.11.005
Publication status	Published - 2016

Keywords

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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10.1016/j.mbs.2015.11.005

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@article{a5ca17ec22c94e3d82a12dbaece02a8a,

title = "Three-dimensional simulations of the cell growth and cytokinesis using the immersed boundary method",

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.",

keywords = "Cleavage furrow, Cytokinesis, Immersed boundary method, Surface remeshing algorithm, Volume correction algorithm",

author = "Yibao Li and Junseok Kim",

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: {\textcopyright} 2015 Elsevier Inc.",

year = "2016",

doi = "10.1016/j.mbs.2015.11.005",

language = "English",

volume = "271",

pages = "118--127",

journal = "Mathematical Biosciences",

issn = "0025-5564",

publisher = "Elsevier Inc.",

}

TY - JOUR

T1 - Three-dimensional simulations of the cell growth and cytokinesis using the immersed boundary method

AU - Li, Yibao

AU - Kim, Junseok

N1 - 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.

PY - 2016

Y1 - 2016

N2 - 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.

AB - 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.

KW - Cleavage furrow

KW - Cytokinesis

KW - Immersed boundary method

KW - Surface remeshing algorithm

KW - Volume correction algorithm

UR - http://www.scopus.com/inward/record.url?scp=84962247588&partnerID=8YFLogxK

U2 - 10.1016/j.mbs.2015.11.005

DO - 10.1016/j.mbs.2015.11.005

M3 - Article

C2 - 26620886

AN - SCOPUS:84962247588

VL - 271

SP - 118

EP - 127

JO - Mathematical Biosciences

JF - Mathematical Biosciences

SN - 0025-5564

ER -

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

Abstract

Keywords

ASJC Scopus subject areas

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