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Stochastic modelling of chromosomal segregation : errors can introduce correction

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Date
07/2014
Author
Matzavinos, Anastasios
Roitershtein, Alexander
Shtylla, Blerta
Voller, Zachary
Liu, Sijia
Chaplain, Mark A.J.
Keywords
QA Mathematics
QH301 Biology
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Abstract
Cell division is a complex process requiring the cell to have many internal checks so that division may proceed and be completed correctly. Failure to divide correctly can have serious consequences, including progression to cancer. During mitosis, chromosomal segregation is one such process that is crucial for successful progression. Accurate segregation of chromosomes during mitosis requires regulation of the interactions between chromosomes and spindle microtubules. If left uncorrected, chromosome attachment errors can cause chromosome segregation defects which have serious effects on cell fates. In early prometaphase, where kinetochores are exposed to multiple microtubules originating from the two poles, there are frequent errors in kinetochore-microtubule attachment. Erroneous attachments are classified into two categories, syntelic and merotelic. In this paper, we consider a stochastic model for a possible function of syntelic and merotelic kinetochores, and we provide theoretical evidence that merotely can contribute to lessening the stochastic noise in the time for completion of the mitotic process in eukaryotic cells.
Citation
Matzavinos , A , Roitershtein , A , Shtylla , B , Voller , Z , Liu , S & Chaplain , M A J 2014 , ' Stochastic modelling of chromosomal segregation : errors can introduce correction ' , Bulletin of Mathematical Biology , vol. 76 , no. 7 , pp. 1590-1606 . https://doi.org/10.1007/s11538-014-9969-z
Publication
Bulletin of Mathematical Biology
Status
Peer reviewed
DOI
https://doi.org/10.1007/s11538-014-9969-z
ISSN
0092-8240
Type
Journal article
Rights
© 2014, Publisher / the Author(s). This work is made available online in accordance with the publisher’s policies. This is the author created, accepted version manuscript following peer review and may differ slightly from the final published version. The final published version of this work is available at link.springer.com / https://dx.doi.org/10.1007/s11538-014-9969-z
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  • Applied Mathematics Research
  • University of St Andrews Research
URI
http://hdl.handle.net/10023/7711

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