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

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  • Bucksch, Alexander
    • Other Affiliation: Institute of Bioinformatics; University of Georgia
  • Atta-Boateng, Acheampong
    • Other Affiliation: School of Forestry and Environmental Studies; Yale University
  • Azihou, Akomian F.
    • Other Affiliation: Laboratory of Applied Ecology; Faculty of Agronomic Sciences; University of Abomey-Calavi
  • Battogtokh, Dorjsuren
    • Other Affiliation: Department of Biological Sciences; Virginia Polytechnic Institute and State University
  • Baumgartner, Aly
    • Other Affiliation: Department of Geosciences; Baylor University
  • Binder, Brad M.
    • Other Affiliation: Department of Biochemistry and Cellular and Molecular Biology; University of Tennessee; Knoxville
  • Braybrook, Siobhan A.
    • Other Affiliation: The Sainsbury Laboratory; University of Cambridge
  • Chang, Cynthia
    • Other Affiliation: Division of Biology; University of Washington
  • Coneva, Viktoirya
    • Other Affiliation: Donald Danforth Plant Science Center
  • DeWitt, Thomas J.
    • Other Affiliation: Department of Wildlife and Fisheries Sciences; Department of Plant Pathology and Microbiology; Texas A&M University
  • Fletcher, Alexander G.
    • Other Affiliation: School of Mathematics and Statistics; Bateson Centre; University of Sheffield
  • Gehan, Malia A.
    • Other Affiliation: Donald Danforth Plant Science Center
  • Diaz-Martinez, Diego Hernan
    • Other Affiliation: Department of Mathematics; Florida State University
  • Hong, Lilan
    • Other Affiliation: Weill Institute for Cell and Molecular Biology and Section of Plant Biology; School of Integrative Plant Sciences; Cornell University
  • Iyer-Pascuzzi, Anjali S.
    • Other Affiliation: Department of Botany and Plant Pathology; Purdue University
  • Klein, Laura L.
    • Other Affiliation: Department of Biology; Saint Louis University
  • Leiboff, Samuel
    • Other Affiliation: School of Integrative Plant Science; Cornell University
  • Li, Mao
    • Other Affiliation: Department of Mathematics; Florida State University
  • Lynch, Jonathan P.
    • Other Affiliation: Department of Plant Science; The Pennsylvania State University
  • Maizel, Alexis
    • Other Affiliation: Center for Organismal Studies; Heidelberg University
  • Maloof, Julin N.
    • Other Affiliation: Department of Plant Biology; University of California; Davis
  • Cody Markelz,
    • Other Affiliation: Department of Plant Biology; University of California; Davis
  • Martinez, Ciera C.
    • Other Affiliation: Department of Molecular and Cell Biology; University of California; Berkeley
  • Miller, Laura A.
    • Affiliation: University of North Carolina at Chapel Hill
  • Mio, Washington
    • Other Affiliation: Department of Mathematics; Florida State University
  • Palubicki, Wojtek
    • Other Affiliation: The Sainsbury Laboratory; University of Cambridge
  • Poorter, Hendrik
    • Other Affiliation: Plant Sciences (IBG-2); Forschungszentrum Jülich GmbH
  • Pradal, Christophe
    • Other Affiliation: CIRAD; UMR AGAP; INRIA; VirtualPlants
  • Price, Charles A.
    • Other Affiliation: National Institute for Mathematical and Biological Synthesis; University of Tennessee; Knoxville
  • Puttonen, Eetu
    • Other Affiliation: Department of Remote Sensing and Photogrammetry; Finnish Geospatial Research Institute; National Land Survey of Finland
  • Reese, John B.
    • Other Affiliation: Department of Ecology and Evolutionary Biology; University of Tennessee; Knoxville
  • Rellán-Álvarez, Rubén
    • Other Affiliation: Unidad de Genómica Avanzada; Laboratorio Nacional de Genómica para la Biodiversidad; Center for Research and Advanced Studies of the National Polytechnic Institute (CINVESTAV)
  • Spalding, Edgar P.
    • Other Affiliation: Department of Botany; University of Wisconsin-Madison
  • Sparks, Erin E.
    • Other Affiliation: Department of Plant and Soil Sciences; Delaware Biotechnology Institute; University of Delaware
  • Topp, Christopher N.
    • Other Affiliation: Donald Danforth Plant Science Center
  • Williams, Joseph H.
    • Other Affiliation: Department of Ecology and Evolutionary Biology; University of Tennessee; Knoxville
  • Chitwood, Daniel H.
    • Other Affiliation: Donald Danforth Plant Science Center
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 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.
Date of publication
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DOI
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Resource type
  • Article
Rights statement
  • In Copyright
Journal title
  • Frontiers in Plant Science
Journal volume
  • 8
Language
  • English
ISSN
  • 1664-462X

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