ANALISIS MODEL PERKEMBANGAN SEL BATANG HEMATOPOIETIC PADA CHRONIC MYELOGENOUS LEUKEMIA (CML)

AULIA, NILA (2018) ANALISIS MODEL PERKEMBANGAN SEL BATANG HEMATOPOIETIC PADA CHRONIC MYELOGENOUS LEUKEMIA (CML). Undergraduate thesis, UNIMED.

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Abstract

Penelitian ini bertujuan untuk mengkaji model perkembangan sel batang hematopoietic, menganalisis kestabilan titik tetap model perkembangan sel batang hematopoietic, dan melakukan simulasi dinamika dengan memasukkan nilai-nilai parameter. Penelitian ini merupakan penelitian kepustakaan dan penelitian simulasi yang bertujuan untuk mencari gambaran melalui simulasi komputer. Penelitian ini menggunakan Model Chronic Myelogenous Leukemia (CML) yang dikembangkan oleh Colijn dan Mackey. Model CML tersebut dicari titik kesetimbangannya, kemudian dilinearisasikan, dan dianalisis kestabilan disekitar titik kesetimbangannya serta membuat simulasi dari model CML dengan menggunakan Wolfram Mathematica 10.4. Hasil penelitian yang diperoleh adalah terdapat dua titik kesetimbangan yaitu T1(0; 0; 0) dan T2(Q?;N?; P?). Nilai eigen yang diperoleh yaitu �1 real negatif, �2 dan �3 real positif, dengan demikian maka model CML bersifat Saddle Point disekitar titik kesetimbangannya. Hasil simulasi dari model matematika CML dengan menggunakan bantuan software Mathematica 10.4 dengan berbagai nilai waktu kematangan sel menunjukkan bahwa perkembangan sel batang hematopoietic akan meningkat dan berosilasi tak stabil. Sel leukosit akan terus berkembang dan tidak terkontrol hingga memasuki fase akut. Sel platelet akan terus berkembang sesuai dengan kebutuhan tubuh. Terinfeksinya sel batang hematopoietic hanya dipengaruhi oleh laju perubahan leukosit akan tetapi tidak dipengaruhi terhadap laju perubahan platelet.

Item Type: Thesis (Undergraduate)
Contributors:
ContributionNameNIDN/NIDK
Thesis advisorSitompul, Pardomuan196911261997021001
Call Number: SK-2018 MAT 105
Keywords: Leukemia; Chronic Myelogenous Leukemia (CML); Sel Batang Hematopoietic; leukosit; platelet
Subjects: Q Science > QA Mathematics
Divisions: Fakultas Matematika dan Ilmu Pengetahuan Alam > Matematika
Depositing User: Mr Renaldi Syafaruddin Akbar
Date Deposited: 11 Mar 2019 15:43
URI: http://digilib.unimed.ac.id/id/eprint/33383

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