Solutions of Fractional model of human T-cell lymphotropic virus I (HTLV-I) infection of CD4+ T-cells using HAM

Anas Arafa; S. Z. Rida; M. Khalil

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Solutions of Fractional model of human T-cell lymphotropic virus I (HTLV-I) infection of CD4+ T-cells using HAM

机译：使用HAM感染CD4 + T细胞的人类T细胞淋巴病毒I（HTLV-1）分数模型的解决方案

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In this paper, we introduce fractional-order model of (HTLV-I) infection of CD 4+ T-cells. Homotopy analysis method (HAM) is implemented to give approximate and analytical solutions of the presented problem. The fractional derivatives are described in the Caputo sense. The method introduces a promising tool for solving many linear and nonlinear fractional differential equations. In these schemes, the solution takes the form of a convergent series with easily computable components. Numerical results show that the approach is easy to implement and accurate when applied to ordinary differential equations of fractional order.

机译：在本文中，我们介绍了CD 4+ T细胞（HTLV-1）感染的分数阶模型。实施同伦分析方法（HAM）以给出所提出问题的近似和解析解。小数导数以Caputo的含义描述。该方法引入了解决许多线性和非线性分数阶微分方程的有前途的工具。在这些方案中，解决方案采用具有易于计算组件的收敛级数的形式。数值结果表明，该方法适用于分数阶普通微分方程，易于实现且准确。

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《International Journal of Basic and Applied Sciences》 |2012年第1期|共14页
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Anas Arafa; S. Z. Rida; M. Khalil;
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1. An approximate solution of a fractional order differential equation model of human T-cell lymphotropic virus I (HTLV-I) infection of CD4+ T-cells [J] . Vedat Suat Ertuerk, Zaid M. Odibat, Shaher Momani Computers & mathematics with applications . 2011,第3期

机译：人T细胞淋巴病毒I（HTLV-1）感染CD4 + T细胞的分数阶微分方程模型的近似解
2. Fractional order model of human T-cell lymphotropic virus I (HTLV-I) infection of CD4+ T-cells [J] . A. Bhattacharyya, B. Pal Advanced Studies in Biology . 2011,第5a8期

机译：人类T细胞淋巴病毒I（HTLV-1）感染CD4 + T细胞的分数阶模型
3. Spontaneous lymphocyte proliferation in human T-cell lymphotropic virus type I (HTLV-I) and HTLV-II infection: T-cell subset responses and their relationships to the presence of provirus and viral antigen production. [J] . H E Prince, J York, J Golding, Clinical and diagnostic laboratory immunology . 1994,第3期

机译：I型人T细胞淋巴病毒（HTLV-I）和HTLV-II感染中的自发淋巴细胞增殖：T细胞亚群应答及其与前病毒和病毒抗原产生的关系。
4. Inhibition of human immunodeficiency virus type 1 infection in a T-cell line(CEM) by new dipeptidyl-peptidase IV (CD26) inhibitors [C] . J.D.Jiang, S.Willk, J.Li, Second workshop related to HIV/AIDS in China . 1999

机译：新的二肽基肽酶IV（CD26）抑制剂抑制T细胞系（CEM）中的人类1型免疫缺陷病毒感染
5. Human T-cell lymphotropic virus type I (HTLV-I) activates IL-15Ralpha expression via NF-kappaB and interferon regulatory elements. [D] . Mariner, Jennifer Marie. 2002

机译：I型人T细胞淋巴病毒（HTLV-1）通过NF-κB和干扰素调节元件激活IL-15Ralpha表达。
6. Spontaneous lymphocyte proliferation in human T-cell lymphotropic virus type I (HTLV-I) and HTLV-II infection: T-cell subset responses and their relationships to the presence of provirus and viral antigen production. [O] . H E Prince, J York, J Golding, 1994

机译：I型人T细胞淋巴病毒（HTLV-I）和HTLV-II感染中的自发淋巴细胞增殖：T细胞亚群应答及其与前病毒和病毒抗原产生的关系。
7. Solutions of Fractional model of human T-cell lymphotropic virus I (HTLV-I) infection of CD4+ T-cells using HAM [O] . Anas Arafa, S. Z. Rida, M. Khalil 2012

机译：用火腿的人T细胞淋视病毒I（HTLV-I）感染CD4 + T细胞的分数模型解决方案
8. HTLV-I (Human T-Cell Leukemia Virus 1) Seroconversion Study [R] . Brodine, S. K. 1989

机译：HTLV-I（人T细胞白血病病毒1）血清转化研究

Solutions of Fractional model of human T-cell lymphotropic virus I (HTLV-I) infection of CD4+ T-cells using HAM

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