Localised auxin peaks in concentration-based transport models for plants
Draelants, Delphine and Avitabile, Daniele and Vanroose, Wim (2014) Localised auxin peaks in concentration-based transport models for plants. Proceedings of the Royal Society B: Biological Sciences . ISSN 0962-8452 (Submitted)
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We study the existence and bifurcation structure of stationary localised auxin spots in concentration-based auxin-transport models posed on one- and two-dimensional networks of plant cells. In regular domains with small active transport coefficient and no diffusion, the geometry of the cellular array encodes the peaks' height and location: asymptotic calculations show that peaks arise where cells have fewer neighbours, that is, at the
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