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.
authors.affiliation: School of Mathematics and Statistics, Xi'an Jiaotong University, Xi'an 710049, China. Electronic address: yibaoli@mail.xjtu.edu.cn.
authors.forename: Yibao
authors.initials: Y
authors.lastname: Li
authors.affiliation: Department of Mathematics, Korea University, Seoul 136-701, Republic of Korea. Electronic address: cfdkim@korea.ac.kr.
authors.forename: Junseok
authors.initials: J
authors.lastname: Kim
mesh_terms: D000465:Algorithms; D048708:Cell Growth Processes; D003198:Computer Simulation; D048749:Cytokinesis; D008962:Models, Theoretical
keywords: Cleavage furrow; Cytokinesis; Immersed boundary method; Surface remeshing algorithm; Volume correction algorithm