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Multiscale modelling of auxin transport in the plant-root elongation zone

Band, Leah R.; King, John R.

Authors

Leah R. Band

John R. King



Abstract

In the root elongation zone of a plant, the hormone auxin moves in a polar manner due to active transport facilitated by spatially distributed influx and efflux carriers present on the cell membranes. To understand how the cell-scale active transport and passive diffusion combine to produce the effective tissue-scale flux, we apply asymptotic methods to a cell-based model of auxin transport to derive systematically a continuum description from the spatially discrete one. Using biologically relevant parameter values, we show how the carriers drive the dominant tissue-scale auxin flux and we predict how the overall auxin dynamics are affected by perturbations to these carriers, for example, in knockout mutants. The analysis shows how the dominant behaviour depends on the cells' lengths, and enables us to assess the relative importance of the diffusive auxin flux through the cell wall. Other distinguished limits are also identified and their potential roles discussed. As well as providing insight into auxin transport, the study illustrates the use of multiscale (cell to tissue) methods in deriving simplified models that retain the essential biology and provide understanding of the underlying dynamics.

Journal Article Type Article
Publication Date Oct 1, 2012
Journal Journal of Mathematical Biology
Print ISSN 0303-6812
Electronic ISSN 0303-6812
Publisher Humana Press
Peer Reviewed Peer Reviewed
Volume 65
Issue 4
APA6 Citation Band, L. R., & King, J. R. (2012). Multiscale modelling of auxin transport in the plant-root elongation zone. Journal of Mathematical Biology, 65(4), doi:10.1007/s00285-011-0472-y
DOI https://doi.org/10.1007/s00285-011-0472-y
Publisher URL http://link.springer.com/article/10.1007%2Fs00285-011-0472-y
Copyright Statement Copyright information regarding this work can be found at the following address: http://creativecommons.org/licenses/by/4.0

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Copyright Statement
Copyright information regarding this work can be found at the following address: http://creativecommons.org/licenses/by/4.0





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