Morphological plant modeling: unleashing geometric and topological potential within the plant sciences

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...

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Main Authors: Bucksch, Alexander Klaus (Author) , Maizel, Alexis (Author)
Format: Article (Journal)
Language:English
Published: 09 June 2017
In: Frontiers in plant science
Year: 2017, Volume: 8
ISSN:1664-462X
DOI:10.3389/fpls.2017.00900
Online Access:Verlag, kostenfrei, Volltext: http://dx.doi.org/10.3389/fpls.2017.00900
Verlag, kostenfrei, Volltext: https://www.frontiersin.org/articles/10.3389/fpls.2017.00900/full
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Author Notes:Alexander Bucksch, Acheampong Atta-Boateng, Akomian F. Azihou, Dorjsuren Battogtokh, Aly Baumgartner, Brad M. Binder, Siobhan A. Braybrook, Cynthia Chang, Viktoirya Coneva, Thomas J. DeWitt, Alexander G. Fletcher, Malia A. Gehan, Diego Hernan Diaz-Martinez, Lilan Hong, Anjali S. Iyer-Pascuzzi, Laura L. Klein, Samuel Leiboff, Mao Li, Jonathan P. Lynch, Alexis Maizel, Julin N. Maloof, R.J. Cody Markelz, Ciera C. Martinez, Laura A. Miller, Washington Mio, Wojtek Palubicki, Hendrik Poorter, Christophe Pradal, Charles A. Price, Eetu Puttonen, John B. Reese, Rubén Rellán-Álvarez, Edgar P. Spalding, Erin E. Sparks, Christopher N. Topp, Joseph H. Williams and Daniel H. Chitwood

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520 |a 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 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 leafs 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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650 4 |a plant biology 
650 4 |a plant science 
650 4 |a Plants 
650 4 |a topology 
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