Judul: Metode dekomposisi untuk menyelesaikan persamaan diferensial abelian
Abstrak: Dalam tulisan ini digunakan Metode Dekomposisi Adomian untuk menyelesaikan Persamaan Diferensial Abelian. Persamaan Diferensial Abelian merupakan suatu persamaan diferensial taklinear yang secara analitik sulit ditentukan solusinya. Salah satu model dalam bentuk Persamaan Diferensial Abelian muncul pada masalah pertumbuhan populasi rusa pada suatu wilayah. Dalam tulisan ini dikonstruksi suatu persamaan numerik untuk menyelesaikan Persamaan Diferensial Abelian dengan menggunakan Metode Dekomposisi Adomian. Selanjutnya, dikaji validitas Metode Dekomposisi Adomian dengan cara membandingkan solusi Metode Dekomposisi Adomian dengan solusi eksak dan solusi numerik menggunakan metode Runge-Kutta orde empat untuk beberapa contoh kasus. Hasil numerik yang diperoleh menunjukkan bahwa Metode Dekomposisi Adomian cocok digunakan untuk menyelesaikan Persamaan Diferensial Abelian. Selain itu, prosedur dari Metode Dekomposisi Adomian digunakan untuk menyelesaikan masalah pertumbuhan populasi rusa pada suatu wilayah.
Keyword: Adomian decomposition method, Abelian differential equations

Judul: Metode Dekomposisi Adomian untuk Menyelesaikan Persamaan Diferensial Abelian
Abstrak: In this writing, Adomian Decomposition Method is used for solving Abelian Differential Equation. Abelian Differential Equation is a nonlinear differential equation which is hard to solve analytically. A special case of Abelian Differential Equation is oftenly used to model the population growth of deer in a certain place. In this research, a numerical equation to solve Abelian Differential Equation is constructed using Adomian Decomposition Method. Furthermore, the validity of the results will be compared with the exact solution and numerical using fourth order Runge- Kutta method. The numerical results show that Adomian Decomposition Method is suitable for solving Abelian Differential Equation. Beside that, the procedure of Adomian Decomposition Method is used to solve the population growth of deer in a certain place.
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Judul: Introduction and expression of tilapia (Oreochromis niloticus) growth hormone gene in catfish (Clarias sp)
Abstrak: The gene transfer technology applied in commercially important aquatic animals is to enhance genetic quality of aquaculture broodstock. This study was conducted to introduce gene encoding growth hormone (GH) in catfish embryos to improve its growth rate. In fish, microinjection was the earliest technique developed to introduce foreign DNA into fertilized eggs. However, the opaquness, stickiness and buoyancy of the embryos, the invisibility of the pronuclei, the togness of the chorion, and the higher mortality of injected eggs make this technique time consuming and requires sophisticated skills. Electropration method is able to produce mass fish transgenic. In this study, we transferred a plasmid containing GH gene of Nile tilapia (tiGH), driven by medaka β-actin promoter (mBP) into catfish using microinjection and electroporation methods, to obtain growth enhanced transgenic fish. The DNA solution (mBP-tiGH) used was 50 μg/ml in sterile distillated water. The parameter observed was survival rate of embryos (SRe), hatching rate (HR), and the percentage of individual carrying mBP-tiGH. Transgenic individual carrying tiGH was identified by PCR ( Polymerase Chain Reaction) method with specific primer for tiGH gene. The analysis of gene expression was conducted by RT-PCR. The results of research from 100 catfish embryos showed that control uninjected treatment was higher SRe and HR of eggs fertilized while the Sre and HR in electroporated-sperm was similar with control (SRe 98.5%; HR 91.2%). Percentage of catfish carrying tiGH gene by microinjection methods was 42.86% (12/28) while by electroporation methods was 87% and 93%. Germ line transmission of the transgene at first generation was 4.0 % - 8.33%. The growth of catfish in founder generation was not different between transgenic and nontransgenic. The growth of transgenic catfish at first generation were up to 7 fold higher compared with nontransgenic fish.
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