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BP: Fachverband Biologische Physik

BP 29: Multicellular Systems

BP 29.5: Vortrag

Dienstag, 8. März 2016, 10:45–11:00, H45

Predicting leaf growth by conformal map — •Karen Alim¹, Shahaf Armon², Eran Sharon², Boris I. Shraiman³, and Arezki Boudaoud⁴ — ¹Max Planck Institute for Dynamics and Self-Organization, Göttingen, Germany — ²Racah Institute for Physics, Hebrew University, Jerusalem, Israel — ³KITP, University of California, Santa Barbara, U.S.A. — ⁴Laboratoire Reproduction et Développement des Plantes & Laboratoire Joliot-Curie, INRA, CNRS, ENS, Université de Lyon, Lyon, France

The dynamics and patterns of growth lie at the heart of morphogenesis, the shaping of an organ or organism. Here, we investigate the local growth throughout plant leaves. We perform a conformal map between the contours at successive stages during the growth of a leaf. Based on the mapping we predict the local displacement field in the leaf blade. The predicted displacement field agrees with the experimentally measured displacement field to 92%. The observed growth is not a mere dilation but dominated by a combination of dilation, rotation and reflection. Yet, we find that the complex growth characteristics are captured by a conformal map. The constraints implied by a conformal map on local growth dynamics suggest local regulation of growth at play.