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

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

9 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

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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10.1016/j.mbs.2015.11.005

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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",

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journal = "Mathematical Biosciences",

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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

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SN - 0025-5564

VL - 271

SP - 118

EP - 127

JO - Mathematical Biosciences

JF - Mathematical Biosciences

ER -

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

Abstract

Bibliographical note

Keywords

ASJC Scopus subject areas

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