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Mathematical Model of Contractile Ring-Driven Cytokinesis in a Three-Dimensional Domain

Overview of attention for article published in Bulletin of Mathematical Biology, January 2018
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Title
Mathematical Model of Contractile Ring-Driven Cytokinesis in a Three-Dimensional Domain
Published in
Bulletin of Mathematical Biology, January 2018
DOI 10.1007/s11538-018-0390-x
Pubmed ID
Authors

Seunggyu Lee

Abstract

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.

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Mendeley readers

Mendeley readers

The data shown below were compiled from readership statistics for 10 Mendeley readers of this research output. Click here to see the associated Mendeley record.

Geographical breakdown

Country Count As %
Unknown 10 100%

Demographic breakdown

Readers by professional status Count As %
Student > Ph. D. Student 3 30%
Student > Master 2 20%
Researcher 2 20%
Student > Doctoral Student 1 10%
Student > Postgraduate 1 10%
Other 0 0%
Unknown 1 10%
Readers by discipline Count As %
Engineering 3 30%
Biochemistry, Genetics and Molecular Biology 2 20%
Mathematics 1 10%
Computer Science 1 10%
Agricultural and Biological Sciences 1 10%
Other 0 0%
Unknown 2 20%
Attention Score in Context

Attention Score in Context

This research output has an Altmetric Attention Score of 2. This is our high-level measure of the quality and quantity of online attention that it has received. This Attention Score, as well as the ranking and number of research outputs shown below, was calculated when the research output was last mentioned on 04 October 2018.
All research outputs
#14,970,944
of 23,028,364 outputs
Outputs from Bulletin of Mathematical Biology
#681
of 1,103 outputs
Outputs of similar age
#256,290
of 441,908 outputs
Outputs of similar age from Bulletin of Mathematical Biology
#21
of 32 outputs
Altmetric has tracked 23,028,364 research outputs across all sources so far. This one is in the 32nd percentile – i.e., 32% of other outputs scored the same or lower than it.
So far Altmetric has tracked 1,103 research outputs from this source. They receive a mean Attention Score of 4.7. This one is in the 34th percentile – i.e., 34% of its peers scored the same or lower than it.
Older research outputs will score higher simply because they've had more time to accumulate mentions. To account for age we can compare this Altmetric Attention Score to the 441,908 tracked outputs that were published within six weeks on either side of this one in any source. This one is in the 39th percentile – i.e., 39% of its contemporaries scored the same or lower than it.
We're also able to compare this research output to 32 others from the same source and published within six weeks on either side of this one. This one is in the 25th percentile – i.e., 25% of its contemporaries scored the same or lower than it.