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Toward a 3D model of phyllotaxis

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HAL Id: hal-02306159

https://hal.archives-ouvertes.fr/hal-02306159

Submitted on 5 Jun 2020

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Toward a 3D model of phyllotaxis

Félix Hartmann, Pierre Barbier de Reuille, Cris Kuhlemeier

To cite this version:

Félix Hartmann, Pierre Barbier de Reuille, Cris Kuhlemeier. Toward a 3D model of phyllotaxis. International Symposium on quantitative plant morphodynamics, Sep 2019, Heidelberg, Germany. 2019. �hal-02306159�

(2)

T

OWARD A

3D

MODEL OF PHYLLOTAXIS

F

ÉLIX

H

ARTMANN1,2

, P

IERRE

B

ARBIER DE

R

EUILLE1

, C

RIS

K

UHLEMEIER1

1 Institute of Plant Sciences, University of Bern, 3013 Bern, Switzerland 2

Université Clermont Auvergne, INRA, PIAF, F-63000 Clermont–Ferrand, France

A

UXIN AND

PIN1

DYNAMICS IN THE

SAM

0h +11h

In the epidermal cell layer (L1) of the shoot apical meristem, auxin accumulates at several points, from which primordia subsquently emerge. (Confocal imaging with DR5 reporter, by Agata Burian.)

In the L1, PIN1 are polarized toward new primordia (conver-gence). In the inner tissue, PIN1 canalize auxin from primordia to pre-existing vasculature (venation). From Bayer et al. (2009).

L

ATERAL

PIN

MOBILITY

without lateral mobility with lateral mobility

An artifact of 3D discretization is that PINs tend to accumulate on membrane elements with a very small area. This aberration disap-pears by assuming PIN lateral mobility.

P

RIMORDIUM ABLATION

before ablation after ablation

Simulating the affect of the laser ablation of a primordium: A new primordium forms near the ablated site.

B

IOCHEMICAL MODEL OF

PIN

POLARIZATION

Our simulations are based on a biochemical mechanism of auxin/PIN dynamics by Cieslak et al. (2015), which produces both convergence and canalization.

V

ENATION FROM THE

L1

TO THE SINKS

The canalization mechanism in 3D is not very efficient for connecting primordia the the main vascu-lature: Not all veins eventually connect to a sink. We hypothesize that already-existing vasculature releases a Vein Attraction Factor (VAF) which diffuses within the apoplast. When VAF binds a membrane, it favors PIN allocation to that medmbrane. This ensures that pro-gressing veins reach the main vasculature.

R

EFERENCES

F. P. Hartmann, P. Barbier de Reuille, and C. Kuhlemeier, PLOS Computational Biology 15, 1 (2019).

E. M. Bayer, R. S. Smith, T. Mandel, N. Nakayama, M. Sauer, P. Prusinkiewicz, and C. Kuhlemeier, Genes & Development 23, 373 (2009).

M. Cieslak, A. Runions, and P. Prusinkiewicz, J Exp Bot 66, 5083 (2015).

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