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.
Copyright:
Copyright 2017 Elsevier B.V., All rights reserved.
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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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 -