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

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 Paul Lynch, Alexis MaizelJulin 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

Research output: Contribution to journalReview article

14 Citations (Scopus)

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.

Original languageEnglish (US)
Article number900
JournalFrontiers in Plant Science
Volume8
DOIs
StatePublished - Jun 9 2017

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plant morphology
plant architecture
outreach
natural resources
topology
molecular biology
biologists
leaves
education
mathematical models
agriculture
flowers
phenotype
air
shoots
prediction
ecosystems
monitoring
genotype
breeding

All Science Journal Classification (ASJC) codes

  • Plant Science

Cite this

Bucksch, A., Atta-Boateng, A., Azihou, A. F., Battogtokh, D., Baumgartner, A., Binder, B. M., ... Chitwood, D. H. (2017). Morphological plant modeling: Unleashing geometric and topological potential within the plant sciences. Frontiers in Plant Science, 8, [900]. https://doi.org/10.3389/fpls.2017.00900
Bucksch, Alexander ; Atta-Boateng, Acheampong ; Azihou, Akomian F. ; Battogtokh, Dorjsuren ; Baumgartner, Aly ; Binder, Brad M. ; Braybrook, Siobhan A. ; Chang, Cynthia ; Coneva, Viktoirya ; DeWitt, Thomas J. ; Fletcher, Alexander G. ; Gehan, Malia A. ; Diaz-Martinez, Diego Hernan ; Hong, Lilan ; Iyer-Pascuzzi, Anjali S. ; Klein, Laura L. ; Leiboff, Samuel ; Li, Mao ; Lynch, Jonathan Paul ; Maizel, Alexis ; Maloof, Julin N. ; Cody Markelz, R. J. ; Martinez, Ciera C. ; Miller, Laura A. ; Mio, Washington ; Palubicki, Wojtek ; Poorter, Hendrik ; Pradal, Christophe ; Price, Charles A. ; Puttonen, Eetu ; Reese, John B. ; Rellán-Álvarez, Rubén ; Spalding, Edgar P. ; Sparks, Erin E. ; Topp, Christopher N. ; Williams, Joseph H. ; Chitwood, Daniel H. / Morphological plant modeling : Unleashing geometric and topological potential within the plant sciences. In: Frontiers in Plant Science. 2017 ; Vol. 8.
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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.",
author = "Alexander Bucksch and Acheampong Atta-Boateng and Azihou, {Akomian F.} and Dorjsuren Battogtokh and Aly Baumgartner and Binder, {Brad M.} and Braybrook, {Siobhan A.} and Cynthia Chang and Viktoirya Coneva and DeWitt, {Thomas J.} and Fletcher, {Alexander G.} and Gehan, {Malia A.} and Diaz-Martinez, {Diego Hernan} and Lilan Hong and Iyer-Pascuzzi, {Anjali S.} and Klein, {Laura L.} and Samuel Leiboff and Mao Li and Lynch, {Jonathan Paul} and Alexis Maizel and Maloof, {Julin N.} and {Cody Markelz}, {R. J.} and Martinez, {Ciera C.} and Miller, {Laura A.} and Washington Mio and Wojtek Palubicki and Hendrik Poorter and Christophe Pradal and Price, {Charles A.} and Eetu Puttonen and Reese, {John B.} and Rub{\'e}n Rell{\'a}n-{\'A}lvarez and Spalding, {Edgar P.} and Sparks, {Erin E.} and Topp, {Christopher N.} and Williams, {Joseph H.} and Chitwood, {Daniel H.}",
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Bucksch, A, Atta-Boateng, A, Azihou, AF, Battogtokh, D, Baumgartner, A, Binder, BM, Braybrook, SA, Chang, C, Coneva, V, DeWitt, TJ, Fletcher, AG, Gehan, MA, Diaz-Martinez, DH, Hong, L, Iyer-Pascuzzi, AS, Klein, LL, Leiboff, S, Li, M, Lynch, JP, Maizel, A, Maloof, JN, Cody Markelz, RJ, Martinez, CC, Miller, LA, Mio, W, Palubicki, W, Poorter, H, Pradal, C, Price, CA, Puttonen, E, Reese, JB, Rellán-Álvarez, R, Spalding, EP, Sparks, EE, Topp, CN, Williams, JH & Chitwood, DH 2017, 'Morphological plant modeling: Unleashing geometric and topological potential within the plant sciences', Frontiers in Plant Science, vol. 8, 900. https://doi.org/10.3389/fpls.2017.00900

Morphological plant modeling : Unleashing geometric and topological potential within the plant sciences. / Bucksch, Alexander; Atta-Boateng, Acheampong; Azihou, Akomian F.; Battogtokh, Dorjsuren; Baumgartner, Aly; Binder, Brad M.; Braybrook, Siobhan A.; Chang, Cynthia; Coneva, Viktoirya; DeWitt, Thomas J.; Fletcher, Alexander G.; Gehan, Malia A.; Diaz-Martinez, Diego Hernan; Hong, Lilan; Iyer-Pascuzzi, Anjali S.; Klein, Laura L.; Leiboff, Samuel; Li, Mao; Lynch, Jonathan Paul; Maizel, Alexis; Maloof, Julin N.; Cody Markelz, R. J.; Martinez, Ciera C.; Miller, Laura A.; Mio, Washington; Palubicki, Wojtek; Poorter, Hendrik; Pradal, Christophe; Price, Charles A.; Puttonen, Eetu; Reese, John B.; Rellán-Álvarez, Rubén; Spalding, Edgar P.; Sparks, Erin E.; Topp, Christopher N.; Williams, Joseph H.; Chitwood, Daniel H.

In: Frontiers in Plant Science, Vol. 8, 900, 09.06.2017.

Research output: Contribution to journalReview article

TY - JOUR

T1 - Morphological plant modeling

T2 - Unleashing geometric and topological potential within the plant sciences

AU - Bucksch, Alexander

AU - Atta-Boateng, Acheampong

AU - Azihou, Akomian F.

AU - Battogtokh, Dorjsuren

AU - Baumgartner, Aly

AU - Binder, Brad M.

AU - Braybrook, Siobhan A.

AU - Chang, Cynthia

AU - Coneva, Viktoirya

AU - DeWitt, Thomas J.

AU - Fletcher, Alexander G.

AU - Gehan, Malia A.

AU - Diaz-Martinez, Diego Hernan

AU - Hong, Lilan

AU - Iyer-Pascuzzi, Anjali S.

AU - Klein, Laura L.

AU - Leiboff, Samuel

AU - Li, Mao

AU - Lynch, Jonathan Paul

AU - Maizel, Alexis

AU - Maloof, Julin N.

AU - Cody Markelz, R. J.

AU - Martinez, Ciera C.

AU - Miller, Laura A.

AU - Mio, Washington

AU - Palubicki, Wojtek

AU - Poorter, Hendrik

AU - Pradal, Christophe

AU - Price, Charles A.

AU - Puttonen, Eetu

AU - Reese, John B.

AU - Rellán-Álvarez, Rubén

AU - Spalding, Edgar P.

AU - Sparks, Erin E.

AU - Topp, Christopher N.

AU - Williams, Joseph H.

AU - Chitwood, Daniel H.

PY - 2017/6/9

Y1 - 2017/6/9

N2 - 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.

AB - 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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UR - http://www.scopus.com/inward/citedby.url?scp=85021121748&partnerID=8YFLogxK

U2 - 10.3389/fpls.2017.00900

DO - 10.3389/fpls.2017.00900

M3 - Review article

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AN - SCOPUS:85021121748

VL - 8

JO - Frontiers in Plant Science

JF - Frontiers in Plant Science

SN - 1664-462X

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