Skip to main content
Log in

Use of multiple regression analysis and artificial neural networks to model the effect of nitrogen in the organogenesis of Pinus taeda L.

  • Original Article
  • Published:
Plant Cell, Tissue and Organ Culture (PCTOC) Aims and scope Submit manuscript

Abstract

Mineral nutrition is a very important factor in the success of in vitro plant cultures. The aim was to compare the predictive capacity of the models obtained using a parametric technique such as multiple regression analysis with a nonparametric one such as artificial neural networks. These techniques were used for modeling the effect of total nitrogen concentration and the ratio nitrate: ammonium in the regeneration rate, oxidation rate, callus proliferation rate, number of buds per explant and buds-forming capacity index. Both the concentration of total nitrogen and the relationship between the concentrations of nitrate and ammonium influenced the morphogenetic responses. Optimal buds regeneration was in the range of 10–20 mM of the total nitrogen concentration and 1–2 of the nitrate: ammonium ratio. Higher concentrations of nitrogen produced an increase in the oxidation rate while the low nitrate: ammonium ratio favored the callus proliferation rate. Artificial neural network models presented a better precision to predict the different responses to the total content of nitrogen and the nitrate: ammonium rate, with higher coefficients of determination and correlation. They also presented a lower root mean square error for all the variables studied than the multiple regression analysis.

Key message

The use of artificial neural networks allows obtaining a better model of the effect of nitrogen on the organogenesis of Pinus taeda L. than traditional statistical techniques.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Fig. 1
Fig. 2
Fig. 3
Fig. 4
Fig. 5
Fig. 6
Fig. 7
Fig. 8
Fig. 9
Fig. 10
Fig. 11
Fig. 12

Similar content being viewed by others

Abbreviations

ANNs:

Artificial neural networks

BFC:

Bud-forming capacity

MRA:

Multiple regression analysis

NO3/NH4:

Nitrate: ammonium rate

r:

Pearson’s correlation coefficient

R2 :

Coefficient of determination

RMSE:

Root mean squared error

TNC:

Total nitrogen concentration

References

  • Akin M, Eyduran E, Reed BM (2017) Use of RSM and CHAID data mining algorithm for predicting mineral nutrition of hazelnut. Plant Cell Tissue Organ Cult 128(2):303–316

    Article  CAS  Google Scholar 

  • Alanagh EN, Garoosi GA, Haddad R, Maleki S, Landín M, Gallego PP (2014) Design of tissue culture media for efficient Prunus rootstock micropropagation using artificial intelligence models. Plant Cell Tissue Organ Cult 117(3):349–359

    Article  CAS  Google Scholar 

  • Astray G, Gullón B, Labidi J, Gullón P (2016) Comparison between developed models using response surface methodology (RSM) and artificial neural networks (ANNs) with the purpose to optimize oligosaccharide mixtures production from sugar beet pulp. Ind Crops Prod 92:290–299

    Article  CAS  Google Scholar 

  • Box GE, Cox DR (1964) An analysis of transformations. J R Stat Soc. Ser B (Methodol) 26:211–252

    Google Scholar 

  • Da Silva IN, Spatti DH, Flauzino RA, Liboni LHB, dos Reis Alves SF (2017) Artificial neural networks. Springer International Publishing, Cham

    Book  Google Scholar 

  • Emerson RW (2015) Causation and Pearson’s correlation coefficient. J Vis Impair Blind 109(3):242–244

    Article  Google Scholar 

  • Fritsch S, Guenther F, Guenther MF (2016) Package ‘neuralnet’. The Comprehensive R Archive Network

  • Gago J, Martínez-Núñez L, Landín M, Gallego PP (2010) Artificial neural networks as an alternative to the traditional statistical methodology in plant research. J Plant Physiol 167(1):23–27

    Article  CAS  PubMed  Google Scholar 

  • Gallego PP, Gago J, Landín M (2011) Artificial neural networks technology to model and predict plant biology process. In: Artificial neural networks-methodological advances and biomedical applications. InTech, London

    Google Scholar 

  • George EF, Hall MA, De Klerk GJ (2008) The components of plant tissue culture media I: macro-and micro-nutrients. In: Plant propagation by tissue culture. Springer, Dordrecht, pp 65–113

    Google Scholar 

  • Günther F, Fritsch S (2010) neuralnet: Training of neural networks. R J 2(1):30–38

    Article  Google Scholar 

  • Kovalchuk IY, Mukhitdinova Z, Turdiyev T, Madiyeva G, Akin M, Eyduran E, Reed BM (2017) Modeling some mineral nutrient requirements for micropropagated wild apricot shoot cultures. Plant Cell Tissue Organ Cult 129(2):325–335

    Article  CAS  Google Scholar 

  • Kovalchuk IY, Mukhitdinova Z, Turdiyev T, Madiyeva G, Akin M, Eyduran E, Reed BM (2018) Nitrogen ions and nitrogen ion proportions impact the growth of apricot (Prunus armeniaca) shoot cultures. Plant Cell Tissue Organ Cult 133(2):263–273

    Article  CAS  Google Scholar 

  • Lenth RV (2009) Response-surface methods in R, using rsm. J Stat Softw 32(7):1–17

    Article  Google Scholar 

  • Murashige T, Skoog F (1962) A revised medium for rapid growth and bio assays with tobacco tissue cultures. Physiologia plantarum 15(3):473–497

    Article  CAS  Google Scholar 

  • Nakagawa S, Johnson PC, Schielzeth H (2017) The coefficient of determination R2 and intra-class correlation coefficient from generalized linear mixed-effects models revisited and expanded. J R Soc Interface 14(134):20170213

    Article  PubMed  PubMed Central  Google Scholar 

  • Panchal G, Ganatra A, Kosta YP, Panchal D (2011) Behaviour analysis of multilayer perceptronswith multiple hidden neurons and hidden layers. Int J Comput Theory Eng 3(2):332

    Article  Google Scholar 

  • Poothong S, Reed BM (2016) Optimizing shoot culture media for Rubus germplasm: the effects of NH4+, NO3−, and total nitrogen. In Vitro Cell Dev Biol-Plant 52(3):265–275

    Article  CAS  Google Scholar 

  • R Core Team (2013) R: a language and environment for statistical computing. Vienna. http://www.R-project.org/. Accessed 8 Jun 2018

  • Ramage CM, Williams RR (2002) Mineral nutrition and plant morphogenesis. In Vitro Cell Dev Biol-Plant 38(2):116–124

    Article  CAS  Google Scholar 

  • Sarve A, Sonawane SS, Varma MN (2015) Ultrasound assisted biodiesel production from sesame (Sesamum indicum L.) oil using barium hydroxide as a heterogeneous catalyst: comparative assessment of prediction abilities between response surface methodology (RSM) and artificial neural network (ANN). Ultrason Sonochem 26:218–228

    Article  CAS  PubMed  Google Scholar 

  • Uyanık GK, Güler N (2013) A study on multiple linear regression analysis. Proc-Soc Behav Sci 106:234–240

    Article  Google Scholar 

  • Venables WN, Ripley BD (2002) Modern Applied Statistics with S. 4th edn, Springer, New York. ISBN 0-387-95457-0

    Book  Google Scholar 

  • Wada S, Reed BM (2015) Trends in culture medium nitrogen requirements for in vitro shoot growth of diverse pear germplasm. In: VI International Symposium on production and establishment of micropropagated plants 1155 (pp. 29–36)

Download references

Acknowledgements

I thank the Botanical Institute of the Northeast (IBONE-UNNE-CONICET) for supporting this work and the forest company “Bosques del Plata S.A.” for supplying the seeds.

Author information

Authors and Affiliations

Authors

Contributions

BJO designed the experiment, executed it and wrote the manuscript.

Corresponding author

Correspondence to Javier Orlando Barone.

Ethics declarations

Conflict of interest

The author declares that he has no conflict of interests.

Additional information

Communicated by M. Paula Watt.

Publisher’s Note

Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Barone, J.O. Use of multiple regression analysis and artificial neural networks to model the effect of nitrogen in the organogenesis of Pinus taeda L.. Plant Cell Tiss Organ Cult 137, 455–464 (2019). https://doi.org/10.1007/s11240-019-01581-y

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s11240-019-01581-y

Keywords

Navigation