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Matematika pada Proses Hematopoiesis dengan Perlambatan Proses Proliferasi Model (Mathematical Model on Hematopoiesis Process with Proliferation Time Delay)

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ABSTRACT

Blood cell production process (hematopoiesis) in normal conditions is formulated in the form of a nonlinear differential equation system with time delay. Time delay indicates the duration or time required for stem cells in the proliferative phase. This study aims to analyze the mathematical model of blood cell production process including fixed point analysis and hematopoietic stem cell population behavior. Studying the characteristics equations of the model was conducted to study the dynamic behavior of the model. The numerical simulation results show that for nontrivial fixed point model experiences oscillations. Oscillations in mathematical models of hematopoiesis process indicate that hematopoiesis occurs unstable so that they con be implemented on an analysis of the presence of diseases that affect blood cells.

Keywords: hematopoiesis, oscillation, mathematical models, time delay

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Jurnal Kedokteran Brawijaya 28 (2) 2014 : 120-125

Publisher

Malang : Jurnal Kedokteran Brawijaya., 2014

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6p

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0216-9347

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