Optimal HIV treatment by maximising immune response
Optimal HIV treatment by maximising immune response
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DOI：
10.1007/s00285-003-0245-3
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发表时间：
2004-05-01
影响因子：
1.9
通讯作者：
Spiteri, RJ
中科院分区：
文献类型：
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作者：
Culshaw, RV;Ruan, S;Spiteri, RJ
我们提出了人类免疫缺陷病毒（HIV）药物治疗的最佳控制模型。我们的模型是基于常微分方程，描述了艾滋病毒和特定的免疫反应之间的相互作用，测量自然杀伤细胞的水平。我们建立了模型的稳定性结果。我们通过将其作为最优控制问题来处理治疗问题，其中我们基于健康的CD4+ T细胞和免疫应答细胞的水平来最大化益处，减少化疗的系统成本。我们完全的最优控制和计算的最优性系统通过解析延拓的数值解。
We present an optimal control model of drug treatment of the human immunodeficiency virus (HIV). Our model is based upon ordinary differential equations that describe the interaction between HIV and the specific immune response as measured by levels of natural killer cells. We establish stability results for the model. We approach the treatment problem by posing it as an optimal control problem in which we maximise the benefit based on levels of healthy CD4+ T cells and immune response cells, less the systemic cost of chemotherapy. We completely characterise the optimal control and compute a numerical solution of the optimality system via analytic continuation.