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 | |
| Publication status | Published - 2016 |
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Keywords
- Cleavage furrow
- Cytokinesis
- Immersed boundary method
- Surface remeshing algorithm
- Volume correction algorithm
ASJC Scopus subject areas
- Applied Mathematics
- Statistics and Probability
- Modelling and Simulation
- Agricultural and Biological Sciences(all)
- Biochemistry, Genetics and Molecular Biology(all)
- Immunology and Microbiology(all)
- Medicine(all)
Cite this
Three-dimensional simulations of the cell growth and cytokinesis using the immersed boundary method. / Li, Yibao; Kim, Junseok.
In: Mathematical Biosciences, Vol. 271, 2016, p. 118-127.Research output: Contribution to journal › Article
}
TY - JOUR
T1 - Three-dimensional simulations of the cell growth and cytokinesis using the immersed boundary method
AU - Li, Yibao
AU - Kim, Junseok
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
UR - http://www.scopus.com/inward/citedby.url?scp=84962247588&partnerID=8YFLogxK
U2 - 10.1016/j.mbs.2015.11.005
DO - 10.1016/j.mbs.2015.11.005
M3 - Article
VL - 271
SP - 118
EP - 127
JO - Mathematical Biosciences
JF - Mathematical Biosciences
SN - 0025-5564
ER -