Leaf growth is conformal.

Alim, Karen; Armon, S.; Shraiman, b. I.; Boudaoud, A.

doi:10.1088/1478-3975/13/5/05LT01

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Leaf growth is conformal.

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Alim, Karen
Max Planck Research Group Biological Physics and Morphogenesis, Max Planck Institute for Dynamics and Self-Organization, Max Planck Society;

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http://iopscience.iop.org/article/10.1088/1478-3975/13/5/05LT01/meta;jsessionid=5BFDA005C547355326D7DA8FA18E683C.ip-10-40-1-105
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Citation

Alim, K., Armon, S., Shraiman, b. I., & Boudaoud, A. (2016). Leaf growth is conformal. Physical Biology, 13(5): 05LT01. doi:10.1088/1478-3975/13/5/05LT01.

Cite as: https://hdl.handle.net/11858/00-001M-0000-002B-A355-E

Abstract

Growth pattern dynamics lie at the heart of morphogenesis. Here, we investigate the growth of plant leaves. We compute the conformal transformation that maps the contour of a leaf at a given stage onto the contour of the same leaf at a later stage. Based on the mapping we predict the local displacement field in the leaf blade and find it to agree with the experimentally measured displacement field to 92%. This approach is applicable to any two-dimensional system with locally isotropic growth, enabling the deduction of the whole growth field just from observation of the tissue contour.