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Cytotoxic Cells and Control Strategies are Effective in Reducing the HBV Infection through a Mathematical Modelling

机译:细胞毒性细胞和控制策略可通过数学模型有效减少HBV感染

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A non-linear mathematical model is formulated and analysed to study the mathematical modelling of the optimal control of HBV infection in the presence of cytotoxic cells. The proposed model describes the interaction between normal cells, HBV and cytotoxic cells. The goal is to maximize the number of normal cells by evaluating the impact of optimal control strategies mainly treatment and preventions activities in terminating or restricting the spread of the disease. In this study, the existence of an optimal control pair is obtained. Also numerical simulations and sensitivity analysis are carried out to determine key parameters contributing to the spread of the disease and to illustrate analytical results. A sensitivity analysis shows that the control variable, which represents the efficiency of preventions activities, is the most sensitive parameter and the least is death rate of HBV due to treatment. Numerical studies of the model are carried out to see the effects of the key parameters on the optimal control of HBV infection in the presence of cytotoxic. The result of the study showed that application of optimal control in the presence of cytotoxic cells leads to the decrease of infection of HBV disease.
机译:建立并分析非线性数学模型,以研究在存在细胞毒性细胞的情况下对HBV感染的最佳控制的数学模型。提出的模型描述了正常细胞,HBV和细胞毒性细胞之间的相互作用。目的是通过评估最佳控制策略(主要是治疗和预防活动)对终止或限制疾病传播的影响来最大化正常细胞的数量。在这项研究中,获得了最优控制对。此外,还进行了数值模拟和敏感性分析,以确定有助于疾病传播的关键参数并说明了分析结果。敏感性分析表明,代表预防活动效率的控制变量是最敏感的参数,而因治疗引起的HBV死亡率最低。对该模型进行了数值研究,以了解在细胞毒性存在下关键参数对最佳控制HBV感染的影响。研究结果表明,在存在细胞毒性细胞的情况下应用最佳控制可减少HBV疾病的感染。

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