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 |
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Pages (from-to) | 118-127 |
Number of pages | 10 |
Journal | Mathematical Biosciences |
Volume | 271 |
DOIs | |
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