Mathematical model of contractile ring-driven cytokinesis in a three-dimensional domain

9 Jul 2018, 16:00
New Law School/--107 (University of Sydney)

New Law School/--107

University of Sydney

Oral Presentation Biochemistry and Cell Biology Cellular & tissue processes


Dr Seunggyu Lee (National Institute for Mathematical Sciences)


In this presentation, 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.

Primary author

Dr Seunggyu Lee (National Institute for Mathematical Sciences)

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