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Mathematical modeling accurately predicts the dynamics and scaling of nuclear growth in discrete cytoplasmic volumes

Leech, V; Hazel, JW; Gatlin, JC; Lindsay, AE; Manhart, A; (2021) Mathematical modeling accurately predicts the dynamics and scaling of nuclear growth in discrete cytoplasmic volumes. Journal of Theoretical Biology , Article 110936. 10.1016/j.jtbi.2021.110936. (In press). Green open access

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Abstract

Scaling of nuclear size with cell size has been observed in many species and cell types. In this work we formulate a modeling framework based on the limiting component hypothesis. We derive a family of spatio-temporal mathematical models for nuclear size determination based on different transport and growth mechanisms. We analyse model properties and use in vitro experimental data to identify the most probable mechanism. This suggests that nuclear volume scales with cell volume and that a nucleus controls its import rate as it grows. We further test the model by comparing to data of early frog development, where rapid cell divisions set the relevant time scales.

Type: Article
Title: Mathematical modeling accurately predicts the dynamics and scaling of nuclear growth in discrete cytoplasmic volumes
Location: England
Open access status: An open access version is available from UCL Discovery
DOI: 10.1016/j.jtbi.2021.110936
Publisher version: https://doi.org/10.1016/j.jtbi.2021.110936
Language: English
Additional information: This version is the author accepted manuscript, avaiable under the Creative Commons Attribution 4.0 International
Keywords: Free boundary problems, Nuclear Growth, Partial differential equations
UCL classification: UCL
UCL > Provost and Vice Provost Offices > UCL BEAMS
UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Maths and Physical Sciences
UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Maths and Physical Sciences > Dept of Mathematics
URI: https://discovery-pp.ucl.ac.uk/id/eprint/10137188
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