LAPLACE-ADOMIAN分解法求解慢性粒细胞白血病(CML)与T细胞关联模型

Faiz Alam
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引用次数: 1

摘要

在这篇文章中,我们的目的是检查和分析慢性粒细胞白血病(CML)的一个数学模型,一个白细胞癌症。该模型使用微分方程系统显示了体内幼稚T细胞、效应T细胞和CML癌症细胞之间的关联,该微分方程系统给出了这三个细胞群体的变化率。我们实现了拉普拉斯-阿多米安分解方法来计算所考虑的模型的近似解。我们试图以级数的形式获得CML模型的快速收敛的解析解。此外,我们还提供了该模型的一些结果和稳定性。
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LAPLACE ADOMIAN DECOMPOSITION METHOD FOR SOLVING A MODEL OF CHRONIC MYELOGENOUS LEUKEMIA (CML) AND T CELL ASSOCIATION
In this article, it is our purpose that we examine as well as analyze Chronic Myelogenous Leukemia (CML) a mathematical model, a white blood cells cancer. This model shows the association between naive T cells, effector T cells and CML cancer cells in the body, using a system of differential equations which give the rate of change of these three-cell population. We implement a Laplace Adomian Decomposition Method to compute an approximate solution of the considered model. We try to obtain analytic solution for CML model in the form of series that rapidly converges. Further, we also provide some result and stability of the propose model.
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