期刊
BULLETIN OF MATHEMATICAL BIOLOGY
卷 80, 期 3, 页码 583-597出版社
SPRINGER
DOI: 10.1007/s11538-018-0390-x
关键词
Cytokinesis; Contractile ring; Phase-field; Immersed-boundary
资金
- National Institute for Mathematical Sciences (NIMS) - Korean government [A21300000]
- National Research Foundation of Korea (NRF) - Korea government (MSIP) [2017R1C1B1001937]
- Ministry of Science, ICT & Future Planning, Republic of Korea [A21300000] Funding Source: Korea Institute of Science & Technology Information (KISTI), National Science & Technology Information Service (NTIS)
- National Research Foundation of Korea [2017R1C1B1001937] Funding Source: Korea Institute of Science & Technology Information (KISTI), National Science & Technology Information Service (NTIS)
In this paper, a mathematical model of contractile ring-driven cytokinesis is presented by using both phase-field and immersed-boundary methods in a three-dimensional domain. It is one of the powerful hypotheses that cytokinesis happens driven by the contractile ring; however, there are only few mathematical models following the hypothesis, to the author's knowledge. I consider a hybrid method to model the phenomenon. First, a cell membrane is represented by a zero-contour of a phase-field implicitly because of its topological change. Otherwise, immersed-boundary particles represent a contractile ring explicitly based on the author's previous work. Here, the multi-component (or vector-valued) phase-field equation is considered to avoid the emerging of each cell membrane right after their divisions. Using a convex splitting scheme, the governing equation of the phase-field method has unique solvability. The numerical convergence of contractile ring to cell membrane is proved. Several numerical simulations are performed to validate the proposed model.
作者
我是这篇论文的作者
点击您的名字以认领此论文并将其添加到您的个人资料中。
推荐
暂无数据