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SUMMARY:Mathematical model of contractile ring-driven cytokinesis in a thr
ee-dimensional domain
DTSTART;VALUE=DATE-TIME:20180709T060000Z
DTEND;VALUE=DATE-TIME:20180709T062000Z
DTSTAMP;VALUE=DATE-TIME:20241102T165717Z
UID:indico-contribution-319@conferences.maths.unsw.edu.au
DESCRIPTION:Speakers: Seunggyu Lee (National Institute for Mathematical Sc
iences)\nIn this presentation\, a mathematical model of contractile ring-d
riven cytokinesis is presented by using both phase-field and immersed-boun
dary methods in a three-dimensional domain. It is one of the powerful hypo
theses that cytokinesis happens driven by the contractile ring\; however\,
there are only few mathematical models following the hypothesis\, to the
authorâ€™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-boundar
y particles represent a contractile ring explicitly based on the authorâ€™
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 equ
ation of the phase-field method has unique solvability. The numerical conv
ergence of contractile ring to cell membrane is proved. Several numerical
simulations are performed to validate the proposed model.\n\nhttps://confe
rences.maths.unsw.edu.au/event/2/contributions/319/
LOCATION:University of Sydney New Law School/--107
URL:https://conferences.maths.unsw.edu.au/event/2/contributions/319/
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