Morphological Plant Modeling: Unleashing Geometric and Topological Potential within the Plant Sciences

Alexander Bucksch 1 Acheampong Atta-Boateng 2 Akomian Azihou 3 Dorjsuren Battogtokh 4 Aly Baumgartner 5 Brad Binder 6 Siobhan Braybrook 7 Cynthia Chang 8 Viktoirya Coneva 9 Thomas Dewitt 10 Alexander Fletcher 11 Malia Gehan 9 Diego Hernan Diaz-Martinez 12 Lilan Hong 13 Anjali Iyer-Pascuzzi 14 Laura Klein 15, 16 Samuel Leiboff 13 Mao Li 12 Jonathan Lynch 17 Alexis Maizel 18 Julin Maloof 19 R.J. Cody Markelz 19 Ciera Martinez 20 Laura Miller 21 Washington Mio 12 Wojtek Palubicki 7 Hendrik Poorter 22 Christophe Pradal 23, 24 Charles Price 25 Eetu Puttonen 26 John Reese 6 Rubén Rellán-Álvarez 27 Edgar Spalding 28 Erin Sparks 29 Christopher Topp 9 Joseph Williams 6 Daniel Chitwood 9
23 VIRTUAL PLANTS - Modeling plant morphogenesis at different scales, from genes to phenotype
CRISAM - Inria Sophia Antipolis - Méditerranée , INRA - Institut National de la Recherche Agronomique, Centre de coopération internationale en recherche agronomique pour le développement [CIRAD] : UMR51
Abstract : The geometries and topologies of leaves, flowers, roots, shoots, and their arrangements have fascinated plant biologists and mathematicians alike. As such, plant morphology is inherently mathematical in that it describes plant form and architecture with geometrical and topological techniques. Gaining an understanding of how to modify plant morphology, through molecular biology and breeding, aided by a mathematical perspective, is critical to improving agriculture, and the monitoring of ecosystems Frontiers in Plant Science | www.frontiersin.org 1 June 2017 | Volume 8 | Article 900 Bucksch et al. Plant Morphological Modeling is vital to modeling a future with fewer natural resources. In this white paper, we begin with an overview in quantifying the form of plants and mathematical models of patterning in plants. We then explore the fundamental challenges that remain unanswered concerning plant morphology, from the barriers preventing the prediction of phenotype from genotype to modeling the movement of leaves in air streams. We end with a discussion concerning the education of plant morphology synthesizing biological and mathematical approaches and ways to facilitate research advances through outreach, cross-disciplinary training, and open science. Unleashing the potential of geometric and topological approaches in the plant sciences promises to transform our understanding of both plants and mathematics.
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Frontiers in Plant Science, Frontiers, 2017, 8 (900), pp.16. 〈10.3389/fpls.2017.00900〉
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Alexander Bucksch, Acheampong Atta-Boateng, Akomian Azihou, Dorjsuren Battogtokh, Aly Baumgartner, et al.. Morphological Plant Modeling: Unleashing Geometric and Topological Potential within the Plant Sciences. Frontiers in Plant Science, Frontiers, 2017, 8 (900), pp.16. 〈10.3389/fpls.2017.00900〉. 〈hal-01537909〉

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