The effect of anti-viral drug treatment of human immunodeficiency virus type 1 (HIV-1) described by a fractional order model

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

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The effect of anti-viral drug treatment of human immunodeficiency virus type 1 (HIV-1) described by a fractional order model

机译：分数阶模型描述的抗病毒药物治疗1型人类免疫缺陷病毒（HIV-1）的效果

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摘要

In this paper, generalized Euler method (GEM) and homotopy analysis method (HAM) are performed to solve the problem of the population dynamics of the human immunodeficiency type 1 virus (HIV-1). We introduce fractional orders to the model of HIV-1 whose components are plasma densities of uninfected CD4~+ T-cells, the infected such cells and the free virus. The effect of the drug treatment of HIV-1 will be discussed in this paper.

机译：为了解决人类免疫缺陷1型病毒（HIV-1）的种群动态问题，本文采用广义欧拉方法（GEM）和同态分析方法（HAM）。我们将分数阶引入到HIV-1模型中，其组成部分是未感染的CD4〜+ T细胞，被感染的此类细胞和游离病毒的血浆密度。本文将讨论药物治疗HIV-1的效果。

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来源
《Applied Mathematical Modelling》 |2013年第4期|2189-2196|共8页
作者
A.A.M. Arafa; S.Z. Rida; M. Khalil;
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作者单位

Department of Mathematics, Faculty of Science, South Valley University, Qena, Egypt;

Department of Mathematics, Faculty of Science, South Valley University, Qena, Egypt;

Department of Mathematics, Faculty of Engineering, Modem Science and Arts University (MSA), Ciza, Egypt;

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收录信息美国《科学引文索引》(SCI);美国《工程索引》(EI);
原文格式 PDF
正文语种 eng
中图分类
关键词
Generalized Euler method; Homotopy analysis method; Caputo fractional derivative; HIV model; Numerical solution;

机译：广义欧拉法;同态分析方法;Caputo小数导数;艾滋病毒模式;数值解;

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1. Human immunodeficiency virus type-1 (HIV-1) genetic diversity and prevalence of antiretroviral drug resistance mutations in treatment-nave adults in Jos, North Central Nigeria [J] . Anejo-Okopi J. A., Agbaji O. O., Agaba P. A., African Journal of Biotechnology . 2013,第17期

机译：在尼日利亚中北部乔斯，未接受过治疗的成年人的人类免疫缺陷病毒1型（HIV-1）遗传多样性和抗逆转录病毒药物耐药性突变的发生率
2. Human immunodeficiency virus type 1 (HIV-1) genotyping in Rio de Janeiro, Brazil: assessing subtype and drug-resistance associated mutations in HIV-1 infected individuals failing highly active antiretroviral therapy [J] . C Silva-de-jesus, D Arakaki-sanchez, Jc Couto-fernandez, Memórias do Instituto Oswaldo Cruz . 2005,第1期

机译：巴西里约热内卢的人类免疫缺陷病毒1型（HIV-1）基因分型：评估未进行高效抗逆转录病毒治疗的HIV-1感染者的亚型和耐药相关突变
3. Human immunodeficiency virus type 1 (HIV-1) genotyping in Rio de Janeiro, Brazil: assessing subtype and drug-resistance associated mutations in HIV-1 infected individuals failing highly active antiretroviral therapy [J] . JC Couto-Fernandez, C Silva-de-Jesus, VG Veloso, Memorias do Instituto Oswaldo Cruz . 2005,第1期

机译：巴西里约热内卢的人类免疫缺陷病毒1型（HIV-1）基因分型：评估未进行高效抗逆转录病毒治疗的HIV-1感染者的亚型和耐药相关突变
4. A Hybrid Classification Tree and Artificial Neural Network Model for Predicting the In vitro Response of the Human Immunodeficiency Virus (HIV1) to Anti-Viral Drug Therapy [C] . W. R. Danter, D. Gregson, K. A. Ferguson, ANNIMAB-1 Conference . 2000

机译：一种混合分类树和人工神经网络模型，用于预测人免疫缺陷病毒（HIV1）对抗病毒药物治疗的体外反应
5. The role of the transmembrane and cytoplasmic domains of the VPU protein of human immunodeficiency virus type 1 (HIV-1) in the acute CD4+ T cell loss and disease in the simian human immunodeficiency virus (SHIV)/macaque model. [D] . Hout, David Richard. 2006

机译：人类免疫缺陷病毒1型（HIV-1）的VPU蛋白的跨膜和胞质域在猿猴人类免疫缺陷病毒（SHIV）/猕猴模型的急性CD4 + T细胞丧失和疾病中的作用。
6. Treatment of human immunodeficiency virus type 1 (HIV-1)-infected cells with combinations of HIV-1-specific inhibitors results in a different resistance pattern than does treatment with single-drug therapy. [O] . J Balzarini, A Karlsson, M J Pérez-Pérez, 1993

机译：与单药疗法相比用HIV-1特异性抑制剂联合治疗感染1型人类免疫缺陷病毒（HIV-1）的细胞会产生不同的耐药模式。
7. Treatment of human immunodeficiency virus type 1 (HIV-1)-infected cells with combinations of HIV-1-specific inhibitors results in a different resistance pattern than does treatment with single-drug therapy [O] . J Balzarini, A Karlsson, M J Pérez-Pérez, 1993

机译：用HIV-1特异性抑制剂的组合治疗人免疫缺陷病毒类型1（HIV-1）的细胞，导致不同的抗性模式，而不是用单药治疗治疗
8. Human Immunodeficiency Virus Type 1 (HIV-1) Viral Protein R (Vpr)- Mediated Cell Cycle Arrest: An Analysis of Current Mechanistic Models [R] . Sercovich, M. J. 2006

机译：人类免疫缺陷病毒1型（HIV-1）病毒蛋白R（Vpr） - 介导的细胞周期逮捕：当前机制模型的分析

The effect of anti-viral drug treatment of human immunodeficiency virus type 1 (HIV-1) described by a fractional order model

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