Morphological Plant Modeling: Unleashing Geometric and Topological Potential within the Plant Sciences. Bucksch, A., Atta-Boateng, A., Azihou, A. F., Battogtokh, D., Baumgartner, A., Binder, B. M., Braybrook, S. A., Chang, C., Coneva, V., DeWitt, T. J., Fletcher, A. G., Gehan, M. A., Diaz-Martinez, D. H., Hong, L., Iyer-Pascuzzi, A. S., Klein, L. L., Leiboff, S., Li, M., Lynch, J. P., Maizel, A., Maloof, J. N., Markelz, R. J. C., Martinez, C. C., Miller, L. A., Mio, W., Palubicki, W., Poorter, H., Pradal, C., Price, C. A., Puttonen, E., Reese, J. B., Rellán-Álvarez, R., Spalding, E. P., Sparks, E. E., Topp, C. N., Williams, J. H., & Chitwood, D. H. Frontiers in Plant Science, 2017. Publisher: Frontiers
Morphological Plant Modeling: Unleashing Geometric and Topological Potential within the Plant Sciences [link]Paper  doi  abstract   bibtex   
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.
@article{bucksch_morphological_2017,
	title = {Morphological {Plant} {Modeling}: {Unleashing} {Geometric} and {Topological} {Potential} within the {Plant} {Sciences}},
	volume = {8},
	issn = {1664-462X},
	shorttitle = {Morphological {Plant} {Modeling}},
	url = {https://www.frontiersin.org/articles/10.3389/fpls.2017.00900/full},
	doi = {10.3389/fpls.2017.00900},
	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 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.},
	language = {English},
	urldate = {2021-01-20},
	journal = {Frontiers in Plant Science},
	author = {Bucksch, Alexander and Atta-Boateng, Acheampong and Azihou, Akomian F. and Battogtokh, Dorjsuren and Baumgartner, Aly and Binder, Brad M. and Braybrook, Siobhan A. and Chang, Cynthia and Coneva, Viktoirya and DeWitt, Thomas J. and Fletcher, Alexander G. and Gehan, Malia A. and Diaz-Martinez, Diego Hernan and Hong, Lilan and Iyer-Pascuzzi, Anjali S. and Klein, Laura L. and Leiboff, Samuel and Li, Mao and Lynch, Jonathan P. and Maizel, Alexis and Maloof, Julin N. and Markelz, R. J. Cody and Martinez, Ciera C. and Miller, Laura A. and Mio, Washington and Palubicki, Wojtek and Poorter, Hendrik and Pradal, Christophe and Price, Charles A. and Puttonen, Eetu and Reese, John B. and Rellán-Álvarez, Rubén and Spalding, Edgar P. and Sparks, Erin E. and Topp, Christopher N. and Williams, Joseph H. and Chitwood, Daniel H.},
	year = {2017},
	note = {Publisher: Frontiers},
	keywords = {Mathematics, Morphometrics, Plants, computational plant science, geometric morphometrics, geometry, imaging, modeling, morphology, plant biology, plant science, topology},
}
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