M. Abramowitz, I. Stegun, V. Mirabet, C. Godin, and J. Traas, Physical Models of Plant Development, Annual Review of Cell and Developmental Biology, vol.30, issue.1, pp.59-78, 1972.

J. F. Allard, G. O. Wasteneys, and E. N. Cytrynbaum, Mechanisms of Self-Organization of Cortical Microtubules in Plants Revealed by Computational Simulations, Molecular Biology of the Cell, vol.21, issue.2, pp.278-286, 2010.

T. I. Baskin, Anisotropic expansion of the plant cell wall, Annual Review of Cell and Developmental Biology, vol.21, issue.1, pp.203-222, 2005.

, Regulation of plant cell wall stiffness by mechanical stress: a mesoscale physical model 25

, Ellipse-based visualization of the nematic tensor associated with the distribution ?

L. Beauzamy, M. Louveaux, O. Hamant, and A. Boudaoud, Mechanically, the Shoot Apical Meristem of Arabidopsis Behaves like a Shell Inflated by a Pressure of About 1 MPa. Frontiers in plant science, Frontiers in Plant Science, vol.6, p.8, 2015.

G. I. Bell, Models for the Specific Adhesion of Cells to Cells, Science, vol.200, issue.4342, p.3531, 1978.

A. Boudaoud, A. Burian, D. Borowska-wykret, M. Uyttewaal, R. Wrzalik et al., FibrilTool, an ImageJ plug-in to quantify fibrillar structures in raw microscopy images, Nature Protocols, vol.9, issue.2, pp.457-463, 2014.
URL : https://hal.archives-ouvertes.fr/hal-01204146

F. Boudon, J. Chopard, A. O. Gilles, B. Hamant, O. Boudaoud et al., A Computational Framework for 3d Mechanical Modeling of Plant Morphogenesis with Cellular Resolution, PLOS Comput Biol, vol.11, issue.1, p.950, 2015.
URL : https://hal.archives-ouvertes.fr/hal-01142486

B. Bozorg, P. Krupinski, J. ¨-onsson, and H. , Stress and Strain Provide Positional and Directional Cues in Development, PLOS Comput Biol, vol.10, issue.1, p.410, 2014.

B. Bozorg, P. Krupinski, J. ¨-onsson, and H. , A continuous growth model for plant tissue, Physical Biology, vol.13, issue.6, p.0, 2016.

S. A. Braybrook and A. Peaucelle, Mechano-Chemical Aspects of Organ Formation in Arabidopsis thaliana : The Relationship between Auxin and Pectin, PLOS ONE, vol.8, issue.3, p.813, 2013.
URL : https://hal.archives-ouvertes.fr/hal-01004470

A. Burian, M. Ludynia, M. Uyttewaal, J. Traas, A. Boudaoud et al., A correlative microscopy approach relates microtubule behaviour, local organ geometry, and cell growth at the Arabidopsis shoot apical meristem, Journal of Experimental Botany p ert352, 2013.
URL : https://hal.archives-ouvertes.fr/hal-01204036

D. H. Burk and Z. H. Ye, Alteration of Oriented Deposition of Cellulose Microfibrils by Mutation of a Katanin-Like Microtubule-Severing Protein, The Plant Cell, vol.14, issue.9, pp.2145-2160, 2002.

G. Cerutti, O. Ali, and C. Godin, DRACO-STEM: An Automatic Tool to Generate High-Quality 3d Meshes of Shoot Apical Meristem Tissue at Cell Resolution, Frontiers in Plant Science, vol.8, p.353, 2017.
URL : https://hal.archives-ouvertes.fr/hal-01573521

J. P. Changeux, Allostery and the Monod-Wyman-Changeux Model After 50 Years, Annual Review of Biophysics, vol.41, issue.1, pp.103-133, 2012.

E. Coen, A. G. Rolland-lagan, M. Matthews, J. A. Bangham, and P. Prusinkiewicz, The genetics of geometry, Proceedings of the National Academy of Sciences of the United States of America, vol.101, issue.14, pp.4728-4735, 2004.

F. Corson, O. Hamant, S. Bohn, J. Traas, A. Boudaoud et al., Turning a plant tissue into a living cell froth through isotropic growth, Proceedings of the National Academy of Sciences, vol.106, issue.21, pp.8453-8458, 2009.
URL : https://hal.archives-ouvertes.fr/hal-00412929

. Oliveri,

D. J. Cosgrove, Wall Structure and Wall Loosening. A Look Backwards and Forwards, Plant Physiology, vol.125, issue.1, pp.131-134, 2001.

D. J. Cosgrove, Growth of the plant cell wall, Nature Reviews Molecular Cell Biology, vol.6, issue.11, pp.850-861, 2005.

H. L. Cox, The elasticity and strength of paper and other fibrous materials, British Journal of Applied Physics, vol.3, issue.3, p.72, 1952.
DOI : 10.1088/0508-3443/3/3/302

D. Gennes, P. G. Prost, and J. , The physics of liquid crystals, 1995.

H. Delingette, Triangular springs for modeling nonlinear membranes, IEEE transactions on visualization and computer graphics, vol.14, issue.2, pp.329-341, 2008.
DOI : 10.1109/tvcg.2007.70431
URL : https://hal.archives-ouvertes.fr/inria-00616072

R. Dixit and R. Cyr, Encounters between Dynamic Cortical Microtubules Promote Ordering of the Cortical Array through Angle-Dependent Modifications of Microtubule Behavior, The Plant Cell, vol.16, issue.12, pp.3274-3284, 2004.

J. Dumais, S. L. Shaw, C. R. Steele, S. R. Long, and P. M. Ray, An anisotropic-viscoplastic model of plant cell morphogenesis by tip growth, The International journal of developmental biology, vol.50, issue.23, pp.209-222, 2006.
DOI : 10.1387/ijdb.052066jd
URL : http://www.ijdb.ehu.es/web/descarga/paper/052066jd

L. Dupuy, J. P. Mackenzie, and J. P. Haseloff, A biomechanical model for the study of plant morphogenesis: Coleocheate orbicularis, a 2d study species, Proceedings of the 5th Plant Biomechanics Conference, 2006.

R. J. Dyson and O. E. Jensen, A fibre-reinforced fluid model of anisotropic plant cell growth, Journal of Fluid Mechanics, vol.655, pp.472-503, 2010.

R. J. Dyson, L. R. Band, and O. E. Jensen, A model of crosslink kinetics in the expanding plant cell wall: Yield stress and enzyme action, Journal of Theoretical Biology, vol.307, pp.125-136, 2012.

A. Emons, H. ¨-ofte, H. Mulder, and B. M. , Microtubules and cellulose microfibrils: how intimate is their relationship?, Trends in Plant Science, vol.12, issue.7, pp.279-281, 2007.
DOI : 10.1016/j.tplants.2007.06.002

R. O. Erickson, Modeling of plant growth, Annual Review of Plant Physiology, vol.27, issue.1, pp.407-434, 1976.

F. Faure, C. Duriez, H. Delingette, J. Allard, B. Gilles et al., Sofa: A multi-model framework for interactive physical simulation, Soft Tissue Biomechanical Modeling for Computer Assisted Surgery, pp.283-321, 2012.
DOI : 10.1007/8415_2012_125
URL : https://hal.archives-ouvertes.fr/hal-00681539

J. A. Fozard, M. Lucas, J. R. King, and O. E. Jensen, Vertex-element models for anisotropic growth of elongated plant organs, Front Plant Sci, vol.4, 2013.
DOI : 10.3389/fpls.2013.00233
URL : http://journal.frontiersin.org/article/10.3389/fpls.2013.00233/pdf

A. V. Gelder, Approximate Simulation of Elastic Membranes by Triangulated Spring Meshes, Journal of Graphics Tools, vol.3, issue.2, pp.21-41, 1998.
DOI : 10.1080/10867651.1998.10487490

D. Ghanti, S. Patra, and D. Chowdhury, Theory of strength and stability of kinetochore-microtubule attachments: collective effects of dynamic load-sharing, 2016.

A. Goriely and M. B. Amar, On the definition and modeling of incremental, cumulative, and continuous growth laws in morphoelasticity, Biomechanics and Modeling in Mechanobiology, vol.6, issue.5, pp.289-296, 2007.

O. Hamant and J. Traas, The mechanics behind plant development, New Phytologist, vol.185, issue.2, pp.369-385, 2010.
DOI : 10.1111/j.1469-8137.2009.03100.x
URL : https://hal.archives-ouvertes.fr/hal-00521636

O. Hamant, M. G. Heisler, J. ¨-onsson, H. Krupinski, P. Uyttewaal et al., Developmental Patterning by Mechanical Signals in Arabidopsis, Science, vol.322, issue.5908, pp.1650-1655, 2008.
DOI : 10.1126/science.1165594
URL : https://hal.archives-ouvertes.fr/hal-00412612

N. Hervieux, M. Dumond, A. Sapala, A. L. Routier-kierzkowska, D. Kierzkowski et al., A mechanical feedback restricts sepal growth and shape in arabidopsis, Current Biology, vol.26, issue.8, pp.1019-1028, 2016.
DOI : 10.1016/j.cub.2016.03.004
URL : https://doi.org/10.1016/j.cub.2016.03.004

, Regulation of plant cell wall stiffness by mechanical stress: a mesoscale physical model 27

R. Kennaway, E. Coen, A. Green, and A. Bangham, Generation of Diverse Biological Forms through Combinatorial Interactions between Tissue Polarity and Growth, PLOS Comput Biol, vol.7, issue.6, p.71, 2011.

U. Kutschera, Regulation of cell expansion. The cytoskeletal basis of plant growth and form, pp.149-158, 1991.

L. D. Landau and E. Lifshitz, New York Landrein B, Hamant O (2013) How mechanical stress controls microtubule behavior and morphogenesis in plants: history, experiments and revisited theories, Theory of Elasticity, vol.75, pp.324-338, 1986.

J. A. Lockhart, An analysis of irreversible plant cell elongation, Journal of Theoretical Biology, vol.8, issue.2, pp.264-275, 1965.

A. Nicolas, B. Geiger, and S. A. Safran, Cell mechanosensitivity controls the anisotropy of focal adhesions, Proceedings of the National Academy of Sciences of the United States of America, vol.101, issue.34, p.525, 2004.

J. Ortega, Augmented Growth Equation for Cell Wall Expansion, Plant Physiology, vol.79, issue.1, pp.318-320, 1985.

A. R. Paredez, C. R. Somerville, and D. W. Ehrhardt, Visualization of Cellulose Synthase Demonstrates Functional Association with Microtubules, Science, vol.312, issue.5779, pp.1491-1495, 2006.

A. Peaucelle, S. A. Braybrook, L. Guillou, L. Bron, E. Kuhlemeier et al., Pectininduced changes in cell wall mechanics underlie organ initiation in arabidopsis, Current Biology, vol.21, issue.20, pp.1720-1726, 2011.

C. Pradal, S. Dufour-kowalski, F. Boudon, C. Fournier, and C. Godin, OpenAlea: a visual programming and component-based software platform for plant modelling, Functional Plant Biology, vol.35, issue.10, pp.751-760, 2008.

E. R. Rojas, S. Hotton, and J. Dumais, Chemically Mediated Mechanical Expansion of the Pollen Tube Cell Wall, Biophysical Journal, vol.101, issue.8, pp.1844-1853, 2011.

A. Sampathkumar, P. Krupinski, R. Wightman, P. Milani, A. Berquand et al., Subcellular and supracellular mechanical stress prescribes cytoskeleton behavior in Arabidopsis cotyledon pavement cells, vol.3, p.967, 2014.

A. Sampathkumar, A. Yan, P. Krupinski, and E. M. Meyerowitz, Physical Forces Regulate Plant Development and Morphogenesis, Current Biology, vol.24, issue.10, pp.475-483, 2014.

M. Sassi, O. Ali, F. Boudon, G. Cloarec, U. Abad et al., An Auxin-Mediated Shift toward Growth Isotropy Promotes Organ Formation at the Shoot Meristem in Arabidopsis, Current Biology, vol.24, pp.2335-2342, 2014.
URL : https://hal.archives-ouvertes.fr/hal-01074821

S. H. Tindemans, R. J. Hawkins, and B. M. Mulder, Survival of the Aligned: Ordering of the Plant Cortical Microtubule Array, Physical Review Letters, vol.104, issue.5, p.103, 2010.

S. Tsugawa, N. Hervieux, O. Hamant, A. Boudaoud, R. S. Smith et al., Extracting Subcellular Fibrillar Alignment with Error Estimation: Application to Microtubules, Biophysical Journal, vol.110, issue.8, pp.1836-1844, 2016.

M. Uyttewaal, A. Burian, K. Alim, B. Landrein, D. Borowska-wykret et al., Mechanical Stress Acts via Katanin to Amplify Differences in Growth Rate between Adjacent Cells in Arabidopsis, Cell, vol.149, issue.2, pp.439-451, 2012.
URL : https://hal.archives-ouvertes.fr/hal-01004210

R. Williamson, Alignment of Cortical Microtubules by Anisotropic Wall Stresses, Functional Plant Biology, vol.17, issue.6, pp.601-613, 1990.

. Oliveri,

S. Wolf, K. Hmaty, H. ¨-ofte, and H. , Growth Control and Cell Wall Signaling in Plants. Annual Review of, Plant Biology, vol.63, issue.1, pp.381-407, 2012.
URL : https://hal.archives-ouvertes.fr/hal-01053127