Conformal growth of $ extit{Arabidopsis}$ leavesReport as inadecuate


Conformal growth of $	extit{Arabidopsis}$ leaves


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Publication Date: 2016-08-16

Journal Title: Journal of Theoretical Biology

Publisher: Elsevier

Volume: 408

Pages: 155-166

Language: English

Type: Article

This Version: VoR

Metadata: Show full item record

Citation: Mitchison, G. (2016). Conformal growth of $\textit{Arabidopsis}$ leaves. Journal of Theoretical Biology, 408 155-166. https://doi.org/10.1016/j.jtbi.2016.08.023

Description: This is the final version of the article. It first appeared from Elsevier via http://dx.doi.org/10.1016/j.jtbi.2016.08.023

Abstract: I show that Arabidopsis leaf growth can be described with good precision by a conformal map, where expansion is locally isotropic (the same in all directions) but the amount of expansion can vary with position. Data obtained by tracking leaf growth over time can be reproduced with almost 90% accuracy by such a map. The growth follows a Möbius transformation, which is a type of conformal map that would arise if there were an underlying linear gradient of growth rate. From the data one can derive the parameters that describe this linear gradient and show how it changes over time. Such a rule has the property of maintaining the flatness of a leaf.

Keywords: leaf growth, conformal map, Möbius transformation, growth control, gradient

Embargo Lift Date: 2100-01-01

Identifiers:

External DOI: https://doi.org/10.1016/j.jtbi.2016.08.023

This record's URL: https://www.repository.cam.ac.uk/handle/1810/260680



Rights: Attribution-NonCommercial-NoDerivatives 4.0 International

Licence URL: http://creativecommons.org/licenses/by-nc-nd/4.0/





Author: Mitchison, Graeme

Source: https://www.repository.cam.ac.uk/handle/1810/260680



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