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. Gainin...

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Main Authors: 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, Daniel H. Chitwood
Format: Article
Language:English
Published: Frontiers Media S.A. 2017-06-01
Series:Frontiers in Plant Science
Subjects:
Online Access:http://journal.frontiersin.org/article/10.3389/fpls.2017.00900/full
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author Alexander Bucksch
Alexander Bucksch
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
Eetu Puttonen
John B. Reese
Rubén Rellán-Álvarez
Edgar P. Spalding
Erin E. Sparks
Christopher N. Topp
Joseph H. Williams
Daniel H. Chitwood
author_facet Alexander Bucksch
Alexander Bucksch
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
Eetu Puttonen
John B. Reese
Rubén Rellán-Álvarez
Edgar P. Spalding
Erin E. Sparks
Christopher N. Topp
Joseph H. Williams
Daniel H. Chitwood
author_sort Alexander Bucksch
collection DOAJ
description 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.
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spelling doaj.art-05ce7f2399df4145ab37ceaddd0141182022-12-22T03:54:17ZengFrontiers Media S.A.Frontiers in Plant Science1664-462X2017-06-01810.3389/fpls.2017.00900235043Morphological Plant Modeling: Unleashing Geometric and Topological Potential within the Plant SciencesAlexander Bucksch0Alexander Bucksch1Alexander Bucksch2Acheampong Atta-Boateng3Akomian F. Azihou4Dorjsuren Battogtokh5Aly Baumgartner6Brad M. Binder7Siobhan A. Braybrook8Cynthia Chang9Viktoirya Coneva10Thomas J. DeWitt11Alexander G. Fletcher12Malia A. Gehan13Diego Hernan Diaz-Martinez14Lilan Hong15Anjali S. Iyer-Pascuzzi16Laura L. Klein17Samuel Leiboff18Mao Li19Jonathan P. Lynch20Alexis Maizel21Julin N. Maloof22R. J. Cody Markelz23Ciera C. Martinez24Laura A. Miller25Washington Mio26Wojtek Palubicki27Hendrik Poorter28Christophe Pradal29Charles A. Price30Eetu Puttonen31Eetu Puttonen32John B. Reese33Rubén Rellán-Álvarez34Edgar P. Spalding35Erin E. Sparks36Christopher N. Topp37Joseph H. Williams38Daniel H. Chitwood39Department of Plant Biology, University of Georgia, AthensGA, United StatesWarnell School of Forestry and Natural Resources, University of Georgia, AthensGA, United StatesInstitute of Bioinformatics, University of Georgia, AthensGA, United StatesSchool of Forestry and Environmental Studies, Yale University, New HavenCT, United StatesLaboratory of Applied Ecology, Faculty of Agronomic Sciences, University of Abomey-CalaviCotonou, BeninDepartment of Biological Sciences, Virginia Polytechnic Institute and State University, BlacksburgVA, United StatesDepartment of Geosciences, Baylor University, WacoTX, United StatesDepartment of Biochemistry and Cellular and Molecular Biology, University of Tennessee, Knoxville, KnoxvilleTN, United StatesThe Sainsbury Laboratory, University of CambridgeCambridge, United Kingdom0Division of Biology, University of Washington, BothellWA, United States1Donald Danforth Plant Science Center, St. LouisMO, United States2Department of Wildlife and Fisheries Sciences–Department of Plant Pathology and Microbiology, Texas A&M University, College StationTX, United States3School of Mathematics and Statistics and Bateson Centre, University of SheffieldSheffield, United Kingdom1Donald Danforth Plant Science Center, St. LouisMO, United States4Department of Mathematics, Florida State University, TallahasseeFL, United States5Weill Institute for Cell and Molecular Biology and Section of Plant Biology, School of Integrative Plant Sciences, Cornell University, IthacaNY, United States6Department of Botany and Plant Pathology, Purdue University, West LafayetteIN, United States7Department of Biology, Saint Louis University, St. LouisMO, United States8School of Integrative Plant Science, Cornell University, IthacaNY, United States4Department of Mathematics, Florida State University, TallahasseeFL, United States9Department of Plant Science, The Pennsylvania State University, University ParkPA, United States0Center for Organismal Studies, Heidelberg UniversityHeidelberg, Germany1Department of Plant Biology, University of California, Davis, DavisCA, United States1Department of Plant Biology, University of California, Davis, DavisCA, United States2Department of Molecular and Cell Biology, University of California, Berkeley, BerkeleyCA, United States3Program in Bioinformatics and Computational Biology, The University of North Carolina, Chapel HillNC, United States4Department of Mathematics, Florida State University, TallahasseeFL, United StatesThe Sainsbury Laboratory, University of CambridgeCambridge, United Kingdom4Plant Sciences (IBG-2), Forschungszentrum Jülich GmbH, JülichGermany5CIRAD, UMR AGAP, INRIA, VirtualPlantsMontpellier, France6National Institute for Mathematical and Biological Synthesis, University of Tennessee, Knoxville, KnoxvilleTN, United States7Department of Remote Sensing and Photogrammetry, Finnish Geospatial Research Institute, National Land Survey of FinlandMasala, Finland8Centre of Excellence in Laser Scanning Research, National Land Survey of FinlandMasala, Finland9Department of Ecology and Evolutionary Biology, University of Tennessee, Knoxville, KnoxvilleTN, United States0Unidad de Genómica Avanzada, Laboratorio Nacional de Genómica para la Biodiversidad, Center for Research and Advanced Studies of the National Polytechnic Institute (CINVESTAV)Irapuato, Mexico1Department of Botany, University of Wisconsin–Madison, MadisonWI, United States2Department of Plant and Soil Sciences and Delaware Biotechnology Institute, University of Delaware, NewarkDE, United States1Donald Danforth Plant Science Center, St. LouisMO, United States9Department of Ecology and Evolutionary Biology, University of Tennessee, Knoxville, KnoxvilleTN, United States1Donald Danforth Plant Science Center, St. LouisMO, United StatesThe 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.http://journal.frontiersin.org/article/10.3389/fpls.2017.00900/fullplant biologyplant sciencemorphologymathematicstopologymodeling
spellingShingle Alexander Bucksch
Alexander Bucksch
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
Eetu Puttonen
John B. Reese
Rubén Rellán-Álvarez
Edgar P. Spalding
Erin E. Sparks
Christopher N. Topp
Joseph H. Williams
Daniel H. Chitwood
Morphological Plant Modeling: Unleashing Geometric and Topological Potential within the Plant Sciences
Frontiers in Plant Science
plant biology
plant science
morphology
mathematics
topology
modeling
title Morphological Plant Modeling: Unleashing Geometric and Topological Potential within the Plant Sciences
title_full Morphological Plant Modeling: Unleashing Geometric and Topological Potential within the Plant Sciences
title_fullStr Morphological Plant Modeling: Unleashing Geometric and Topological Potential within the Plant Sciences
title_full_unstemmed Morphological Plant Modeling: Unleashing Geometric and Topological Potential within the Plant Sciences
title_short Morphological Plant Modeling: Unleashing Geometric and Topological Potential within the Plant Sciences
title_sort morphological plant modeling unleashing geometric and topological potential within the plant sciences
topic plant biology
plant science
morphology
mathematics
topology
modeling
url http://journal.frontiersin.org/article/10.3389/fpls.2017.00900/full
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