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首页> 外文期刊>Mathematical Problems in Engineering >Innovative Approximate Analytical Solution for Standard Model of Viral Dynamics: Hepatitis C with Direct-Acting Agents as an Implemented Case
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Innovative Approximate Analytical Solution for Standard Model of Viral Dynamics: Hepatitis C with Direct-Acting Agents as an Implemented Case

机译：有创新的病毒动力学标准模型的创新近似分析解决方法：具有直接作用因子作为实施案例的丙型肝炎

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摘要

In this article, a novel approximate analytical solution is presented for solving the standard viral dynamic model. Basically, the standard model is used to study viral dynamics in patients for a wide range of viruses like HIV, HPV, HBV, and HCV. In this research work, the standard model for hepatitis C virus (HCV) is considered in detail; however, the analysis and results can be applicable for all other viruses. This standard model is used to study viral dynamics in patients treated with direct-acting antiviral agents (DAAs). Power series solution combined with Laplace-Pade resummation method (PSLP) is used to obtain the approximate analytical solutions for the model. To test the capability as well as the validity of the proposed method, results are compared with available viral load data published in the literature and with published simulation results. Good fits are obtained in the comparison for all cases considered. Given that medical specialists and physicians are more interested in solutions that yield direct and simple predictions, it is expected that the proposed approximate analytical solution would be attractive to them and help them to obtain a straightforward and a proper estimation regarding the viral load due to variations in treatment and/or patient's parameters.
机译：在本文中，提出了一种用于解决标准病毒动态模型的新型近似分析解决方案。基本上，标准模型用于研究患者的病毒动力学，如HIV，HPV，HBV和HCV等各种病毒。在本研究工作中，详细考虑了丙型肝炎病毒（HCV）的标准模型;但是，分析和结果可以适用于所有其他病毒。该标准模型用于研究用直效抗病毒剂（DAAs）处理的患者的病毒动力学。电源系列解决方案与LAPLACE-PACE的开始方法（PSLP）相结合，用于获得模型的近似分析解决方案。为了测试能力以及所提出的方法的有效性，将结果与文献中发布的可用病毒载荷数据进行比较，并具有已发布的仿真结果。在考虑所有案例的比较中获得了良好的配合。鉴于医学专家和医生对产生直接和简单预测的解决方案更感兴趣，预计建议的近似分析解决方案对它们具有吸引力，并帮助他们获得引起的病毒载量的直接和适当的估计治疗和/或患者的参数。

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