ABSTRACT

Hepatitis B and C are viruses causing liver infections and resulting in grave secondary diseases. While there are different treatments for chronic liver infections, the process of evolving chronic diseases is still not fully understood. This paper presents an economic-inspired model for the overall health of an infected organism. The health model is based on the results of a reaction diffusion model for describing the space-dependent dynamics of virus and T cells during a liver infection. The different treatments affect the parameters of the reaction diffusion model and influence therefore the well-being of the infected person during an infection. The health model is selected in a detailed process out of a class of possible models. The presented work provides a foundation for an optimal control problem for finding the best treatment strategy.

摘要

乙型和丙型肝炎是引起肝脏感染并导致严重继发性疾病的病毒。虽然慢性肝感染有不同的治疗方法，但慢性疾病演变的过程仍未完全了解。本文提出了一种受感染生物体整体健康状况的经济启发模型。健康模型基于反应扩散模型的结果，用于描述肝脏感染期间病毒和 T 细胞的空间依赖性动力学。不同的治疗会影响反应扩散模型的参数，从而影响感染者在感染期间的健康状况。健康模型是在一个详细的过程中从一类可能的模型中选择出来的。所提出的工作为寻找最佳治疗策略的最佳控制问题提供了基础。