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Pattern formation in auxin flux

Feller, Chrystel ; Gabriel, Jean-Pierre ; Mazza, Christian. ; Yerly, Florence

In: Journal of Mathematical Biology, 2014, vol. 68, no. 4, p. 879–909

The plant hormone auxin is fundamental for plant growth, and its spatial distribution in plant tissues is critical for plant morphogenesis. We consider a leading model of the polar auxin flux, and study in full detail the stability of the possible equilibrium configurations. We show that the critical states of the auxin transport process are composed of basic building blocks, which are...