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Longitudinal Pattern of Aerenchyma Formation Using the Ti-Gompertz Model in Rice Adventitious Roots

The longitudinal pattern of root aerenchyma formation of its relationship with the function of adventitious roots in rice remains unclear. In this study, the percentage of the aerenchyma area to the cross-sectional area (i.e., aerenchyma percentage) was fit with four non-linear models, namely, W(0)-...

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Autores principales: Chen, Yun, Li, Guoming, Zhao, Buhong, Zhang, Yajun, Liu, Kun, Nadeeshika Samarawickrama, Priyadarshani, Wu, Xiaoxia, Lv, Bing, Liu, Lijun
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Frontiers Media S.A. 2021
Materias:
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC8669396/
https://www.ncbi.nlm.nih.gov/pubmed/34917110
http://dx.doi.org/10.3389/fpls.2021.776971
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author Chen, Yun
Li, Guoming
Zhao, Buhong
Zhang, Yajun
Liu, Kun
Nadeeshika Samarawickrama, Priyadarshani
Wu, Xiaoxia
Lv, Bing
Liu, Lijun
author_facet Chen, Yun
Li, Guoming
Zhao, Buhong
Zhang, Yajun
Liu, Kun
Nadeeshika Samarawickrama, Priyadarshani
Wu, Xiaoxia
Lv, Bing
Liu, Lijun
author_sort Chen, Yun
collection PubMed
description The longitudinal pattern of root aerenchyma formation of its relationship with the function of adventitious roots in rice remains unclear. In this study, the percentage of the aerenchyma area to the cross-sectional area (i.e., aerenchyma percentage) was fit with four non-linear models, namely, W(0)-Gompertz, Ti-Gompertz, logistic, and von Bertalanffy. Goodness-of-fit criteria such as the R(2), the Akaike information criterion (AIC), and the Bayesian information criterion (BIC) were used to select the model. The bias of the parameters was evaluated using the difference between the ordinary least squares-based parameter estimates and the mean of 1,000 bootstrap-based parameter estimates and the symmetry of the distributions of these parameters. The results showed that the Ti-Gompertz model, which had a high goodness-of-fit with an R(2) close to 1, lower AIC and BIC values, parameter estimates close to being unbiased, and good linear approximation, provided the best fit for the longitude pattern of rice aerenchyma formation with different root lengths among the competing models. Using the second- and third-order derivatives according to the distance from the root apex, the critical points of Ti-Gompertz were calculated. The rapid stage for aerenchyma formation was from the maximum acceleration point (1.38–1.76 cm from the root apex) to the maximum deceleration point (3.13–4.19 cm from the root apex). In this stage, the aerenchyma percentage increased by 5.3–15.7% per cm, suggesting that the cortical cells tended to die rapidly for the aerenchyma formation rather than for the respiration cost during this stage. Meanwhile, the volume of the aerenchyma of the entire roots could be computed using the integral function of the Ti-Gompertz model. We proposed that the longitudinal pattern of root aerenchyma formation modeled by the Ti-Gompertz model helped to deeply understand the relationship between the anatomical traits and physiological function in rice adventitious roots.
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spelling pubmed-86693962021-12-15 Longitudinal Pattern of Aerenchyma Formation Using the Ti-Gompertz Model in Rice Adventitious Roots Chen, Yun Li, Guoming Zhao, Buhong Zhang, Yajun Liu, Kun Nadeeshika Samarawickrama, Priyadarshani Wu, Xiaoxia Lv, Bing Liu, Lijun Front Plant Sci Plant Science The longitudinal pattern of root aerenchyma formation of its relationship with the function of adventitious roots in rice remains unclear. In this study, the percentage of the aerenchyma area to the cross-sectional area (i.e., aerenchyma percentage) was fit with four non-linear models, namely, W(0)-Gompertz, Ti-Gompertz, logistic, and von Bertalanffy. Goodness-of-fit criteria such as the R(2), the Akaike information criterion (AIC), and the Bayesian information criterion (BIC) were used to select the model. The bias of the parameters was evaluated using the difference between the ordinary least squares-based parameter estimates and the mean of 1,000 bootstrap-based parameter estimates and the symmetry of the distributions of these parameters. The results showed that the Ti-Gompertz model, which had a high goodness-of-fit with an R(2) close to 1, lower AIC and BIC values, parameter estimates close to being unbiased, and good linear approximation, provided the best fit for the longitude pattern of rice aerenchyma formation with different root lengths among the competing models. Using the second- and third-order derivatives according to the distance from the root apex, the critical points of Ti-Gompertz were calculated. The rapid stage for aerenchyma formation was from the maximum acceleration point (1.38–1.76 cm from the root apex) to the maximum deceleration point (3.13–4.19 cm from the root apex). In this stage, the aerenchyma percentage increased by 5.3–15.7% per cm, suggesting that the cortical cells tended to die rapidly for the aerenchyma formation rather than for the respiration cost during this stage. Meanwhile, the volume of the aerenchyma of the entire roots could be computed using the integral function of the Ti-Gompertz model. We proposed that the longitudinal pattern of root aerenchyma formation modeled by the Ti-Gompertz model helped to deeply understand the relationship between the anatomical traits and physiological function in rice adventitious roots. Frontiers Media S.A. 2021-11-30 /pmc/articles/PMC8669396/ /pubmed/34917110 http://dx.doi.org/10.3389/fpls.2021.776971 Text en Copyright © 2021 Chen, Li, Zhao, Zhang, Liu, Nadeeshika Samarawickrama, Wu, Lv and Liu. https://creativecommons.org/licenses/by/4.0/This is an open-access article distributed under the terms of the Creative Commons Attribution License (CC BY). The use, distribution or reproduction in other forums is permitted, provided the original author(s) and the copyright owner(s) are credited and that the original publication in this journal is cited, in accordance with accepted academic practice. No use, distribution or reproduction is permitted which does not comply with these terms.
spellingShingle Plant Science
Chen, Yun
Li, Guoming
Zhao, Buhong
Zhang, Yajun
Liu, Kun
Nadeeshika Samarawickrama, Priyadarshani
Wu, Xiaoxia
Lv, Bing
Liu, Lijun
Longitudinal Pattern of Aerenchyma Formation Using the Ti-Gompertz Model in Rice Adventitious Roots
title Longitudinal Pattern of Aerenchyma Formation Using the Ti-Gompertz Model in Rice Adventitious Roots
title_full Longitudinal Pattern of Aerenchyma Formation Using the Ti-Gompertz Model in Rice Adventitious Roots
title_fullStr Longitudinal Pattern of Aerenchyma Formation Using the Ti-Gompertz Model in Rice Adventitious Roots
title_full_unstemmed Longitudinal Pattern of Aerenchyma Formation Using the Ti-Gompertz Model in Rice Adventitious Roots
title_short Longitudinal Pattern of Aerenchyma Formation Using the Ti-Gompertz Model in Rice Adventitious Roots
title_sort longitudinal pattern of aerenchyma formation using the ti-gompertz model in rice adventitious roots
topic Plant Science
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC8669396/
https://www.ncbi.nlm.nih.gov/pubmed/34917110
http://dx.doi.org/10.3389/fpls.2021.776971
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