Sains Malaysiana 46(12)(2017): 2305–2313
http://dx.doi.org/10.17576/jsm-2017-4612-06
Modelling for Determination of Fe
Uptake by Brassica chinensis Jusl var. parachinensi
(Bailey) Tsen & Lee (Flowering White Cabbage)
(Pemodelan untuk Menentukan Penyerapan
Fe oleh Brassica chinensis Jusl var. parachinensis
(Bailey) Tsen & Lee (Kubis Bunga Putih))
AHMAD MAHIR,
R1.,
ARFAH,
A1.,
ROZAIMAH,
Z.A1.,
SITI
ADYANI,
S.,
KHAIRIAH,
J.2
& ISMAIL,
B.S.2*
1Center for Modelling
and Data Analysis (DELTA) & School of Mathematical
Sciences,
Faculty of Science
and Technology, Universiti Kebangsaan Malaysia, 43600 UKM Bangi,
Selangor Darul Ehsan, Malaysia
2School of Environmental
and Natural Resource Sciences, Faculty of Science and Technology
Universiti Kebangsaan
Malaysia, 43600 UKM Bangi, Selangor Darul Ehsan, Malaysia
Diserahkan: 17
Jun 2014/Diterima: 25 April 2017
ABSTRACT
The study was conducted to
determine the best model suitable for the determination of ferrum
uptake in Brassica
chinensis (flowering white cabbage). A nonlinear regression model
was selected to determine the amount of ferrum absorbed by each
part of the Brassica chinensis plant namely the leaves, stems
and roots. The Levenberg-Marquardt method was used to perform the
nonlinear least square fit. This method employs information on the
gradients and hence requires specification of the partial derivatives.
A suitable model was obtained from the exponential regression model.
The polynomial model was found to be appropriate for leaves, the
mono-exponential model was suitable for stems and the simple exponential
model for roots. The residual plots and the normal probability plots
from each of the models indicated no substantial diagnostic problems,
so it can be concluded that the polynomial and exponential regression
models provide adequate fit to determine data on heavy metal uptake
by the flowering white cabbage.
Keywords: Brassica
chinensis; Fe; nonlinear regression; Levenberg-Marquardt
method
ABSTRAK
Kajian dijalankan untuk menentukan
model yang sesuai dalam menentukan jumlah pengambilan Fe oleh Brassica
chinensis (sawi bunga). Model regresi tak linear dipilih untuk
menentukan pengambilan logam berat oleh setiap bahagian sawi bunga
iaitu daun, batang dan akar. Kaedah Levenberg-Marquardt digunakan
untuk melakukan penyuaian melalui kaedah kuasa dua terkecil tak
linear. Kaedah Levenberg-Marquardt menggunakan maklumat kecerunan
dan memerlukan spesifikasi terbitan separa. Model yang sesuai diperoleh
dengan menggunakan model regresi eksponen. Model polinomial sesuai
untuk bahagian daun manakala model mono-eksponen sesuai untuk batang
dan model eksponen ringkas untuk akar. Keputusan menunjukkan plot
reja dan plot kebarangkalian normal daripada setiap model memenuhi
andaian, maka dapat disimpulkan bahawa model regresi polinomial
dan eksponen memadai bagi penentuan data pengambilan logam Fe oleh
sawi bunga.
Kata kunci: Brassica chinensi; Fe; regresi tak linear; kaedah Levenberg-Marquardt
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*Pengarang untuk surat-menyurat; email:
ismail@ukm.edu.my
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