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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Format: | Article |
Language: | English |
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Frontiers Media S.A.
2017-06-01
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Series: | Frontiers in Plant Science |
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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. |
first_indexed | 2024-04-12T01:05:07Z |
format | Article |
id | doaj.art-05ce7f2399df4145ab37ceaddd014118 |
institution | Directory Open Access Journal |
issn | 1664-462X |
language | English |
last_indexed | 2024-04-12T01:05:07Z |
publishDate | 2017-06-01 |
publisher | Frontiers Media S.A. |
record_format | Article |
series | Frontiers in Plant Science |
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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