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Linear state-feedback control synthesis of tumor growth control in antiangiogenic therapy

机译:线性状态反馈控制抗血管生成治疗中肿瘤生长控制的合成

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摘要

Cancer diseases are one of the most lethal, incurable diseases today, thus fighting cancer is an actual and urgent problem in clinical practice. Beside classical therapies, a new approach is represented by model-based therapies, where human body works as a complex system. These therapies are called targeted molecular therapies (TMTs). TMTs are fighting specifically against different cancer mechanisms and usually don't eliminate the whole tumor, but control the tumor into a given state and keep it there. The aim of antiangiogenic cancer therapy is to prevent tumors from forming new blood vessels, because without angiogenesis tumor growth is inhibited. In this paper we analyze a nonlinear tumor growth model and design linear controllers based on a linear model acquired from working point linearization. Realized controllers are state feedback with pole placement, LQ control method and both controllers with state observer. Simulations are carried out and the controllers are analyzed in many aspects, including the working points used at linearization.
机译:癌症疾病是当今最致命,无法治愈的疾病之一,因此与癌症作斗争是临床实践中一个现实而紧迫的问题。除经典疗法外,一种新方法还以基于模型的疗法为代表,其中人体作为一个复杂的系统起作用。这些疗法称为靶向分子疗法(TMT)。 TMT专门针对不同的癌症机制进行战斗,通常不会消除整个肿瘤,而是将肿瘤控制在给定状态并将其保持在那里。抗血管生成癌治疗的目的是防止肿瘤形成新血管,因为如果没有血管生成,肿瘤的生长就会受到抑制。在本文中,我们分析了非线性肿瘤生长模型,并基于从工作点线性化获得的线性模型设计了线性控制器。实现的控制器是带有极点布置的状态反馈,LQ控制方法以及两个带有状态观察器的控制器。在许多方面进行了仿真并分析了控制器,包括线性化时使用的工作点。

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