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

Received: 17 June 2014/Accepted: 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 olehBrassica 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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*Corresponding author; email: ismail@ukm.edu.my