Test for the Presence of Autocorrelation in Modified Gompertz Model used for Modelling the Growth of Callus Cultures from Glycine wightii (Wight & Arn.) Verdc.
AbstractGlycine wightii species is an important perennial soybean. Tissue culture of in vitro cells, tissues and organs of Glycine wightii can yield efficient means in the genetics of breeding genetics, understanding the physiology and biochemistry of legumes. Most often than not, callus growth curve is sigmoidal in characteristics. In this work, we model callus growth from Glycine wightiifrom published literature to acquire essential growth constants. Previously, we model the growth of callus of Glycine wightii from published literature to obtain vital growth constants. We discovered that the modified Gompertz model via nonlinear regression utilizing the least square method was the best model to explain the growth curve. Nonlinear regression utilizing the least square method typically utilizes the idea that data points usually do not depend upon each other or the value of a data point is not determined by the value of previous or proceeding data points or usually do not display autocorrelation. In this work, the Durbin-Watson statistic to check for the presence of autocorrelation in the growth model was carried out, and showed that the modified Gompertz model was adequate to model the callus growth curve.
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.
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
Hussein S, Ling APK, Ng TH, Ibrahim R, Paek KY.
Adventitious roots induction of recalcitrant tropical woody plant,
Eurycoma longifolia. Romanian Biotechnol Lett.
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.
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.
Kiong ALP, Then CN, Hussein S. Callus induction from leaf
explants of Ficus deltoidea Jack. Int J Agric Res. 2007;2(5):468–
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.
Mcdonald JH, Dunn KW. Statistical tests for measures of
colocalization in biological microscopy. J Microsc.
Draper NR, Smith H. Applied Regression Analysis. Wiley, New
zer/app/ Accessed June 2 2014.
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.
Huitema BE, McKean JW, Zhao J. The runs test for
autocorrelated errors: unacceptable properties. J Educ Behav
Motulsky HJ, Ransnas LA. Fitting curves to data using nonlinear
regression: a practical and nonmathematical review. FASEB J
Off Publ Fed Am Soc Exp Biol. 1987;1(5):365–74.
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