Outlier Analysis of the Modified Gompertz Model used for Modelling the Growth of Callus Cultures from Glycine wightii (Wight & Arn.) Verdc.

  • Shukor . M.S Department of Biochemistry UPM


The production of callus and cell culture can be an important tool to study plant regulation, biosynthesis and biochemistry. Previously, we model the growth of growth of Glycine wightii published literature to obtain vital growth constants. We discovered that the modified Gompertz model was the best model based on statistical test such as root-mean-square error (RMSE), adjusted coefficient of determination (R2), bias factor (BF), accuracy factor (AF) and corrected AICc (Akaike Information Criterion) to explain the callus growth. However, the use of statistical tests to choose the best model relies heavily on the residuals of the curve to be statistically robust. Usually, the residuals need be tested for the occurrence of outliers (at 95 or 99% of confidence). In this work, the Grubb’s test to detect the presence of outlier in the growth model was carried out. The results showed that there was no outlier present, and the modified Gompertzmodel was adequate to model the callus growth.


[1] Tokita N, Shimojo M, Masuda Y. Amino acid profiles of tropical
legumes, cooper (Glycine wightii), Tinaroo (Neonotonia wightii)
and Siratro (Macroptilium atropurpureum), at pre-blooming and
blooming stages. Asian-Australas J Anim Sci. 2006;19(5):651–4.
[2] Ibrahim R, Hussein S, Noordin N, Azlan E, Manan MA, Adrian
H, et al. Advanced cell culture technology for essential oil
production and microarray studies leading to discovery of genes
for fragrance compounds in Michelia alba (Cempaka putih). Acta
Hortic. 2008;765:95–100.
[3] Hussein S, Ling APK, Ng TH, Ibrahim R, Paek KY.
Adventitious roots induction of recalcitrant tropical woody plant,
Eurycoma longifolia. Romanian Biotechnol Lett.
[4] Hammatt N, Nelson RS, Davey MR. Plant regeneration from
seedling explants of perennial Glycine species. Plant Cell Tissue
Organ Cult. 1987;11(1):3–11.
[5] Pandey P, Bansal YK. Plant regeneration from leaf and
hypocotyl explants of Glycine wightii (W. and A.) Verdc. var
longicauda. Jpn J Breed Tokio. 1992;42:1–5.
[6] Kiong ALP, Then CN, Hussein S. Callus induction from leaf
explants of Ficus deltoidea Jack. Int J Agric Res. 2007;2(5):468–
[7] Silva ALC da, Caruso CS, Moreira R de A, Horta ACG. Growth
characteristics and dynamics of protein synthesis in callus
cultures from Glycine wightii (Wight & Arn.) Verdc. Ciênc
E Agrotecnologia. 2005;29(6):1161–6.
[8] Barnett V, Lewis T. Outliers in Statistical Data. 3rd ed.
Chichester; New York: Wiley; 1994. 604 p.
[9] Rosner B. Fundamentals of biostatistics. 7th ed. Boston:
Brooks/Cole; 2011.
[10] Rohatgi,.A..WebPlotDigitizer..http://arohatgi.info/WebPlotDigiti
zer/app/ Accessed June 2 2014.;
[11] Halmi MIE, Shukor MS, Johari WLW, Shukor MY. Evaluation
of several mathematical models for fitting the growth of the algae
Dunaliella tertiolecta. Asian J Plant Biol. 2014;2(1):1–6.
[12] Grubbs F. Procedures for detecting outlying observations in
samples. Technometrics. 1969;11(1):1–21.
[13] Motulsky HJ, Brown RE. Detecting outliers when fitting data
with nonlinear regression - A new method based on robust
nonlinear regression and the false discovery rate. BMC
Bioinformatics. 2006;7.
[14] López S, Prieto M, Dijkstra J, Dhanoa MS, France J. Statistical
evaluation of mathematical models for microbial growth. Int J
Food Microbiol. 2004;96(3):289–300.
How to Cite
M.S, Shukor .. Outlier Analysis of the Modified Gompertz Model used for Modelling the Growth of Callus Cultures from Glycine wightii (Wight & Arn.) Verdc.. Asian Journal of Plant Biology, [S.l.], v. 3, n. 1, p. 14-16, mar. 2016. ISSN 2289-5868. Available at: <http://journal.hibiscuspublisher.com/index.php/AJPB/article/view/268>. Date accessed: 21 sep. 2018.