Pseudo-spectral method for controlling the drug dosage in cancer

IF 16.4 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY

Accounts of Chemical Research Pub Date : 2020-09-15 DOI:10.1049/iet-syb.2020.0054

Mostafa Nazari, Morteza Nazari, Mohammad Hadi Noori Skandari

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Abstract

A mixed chemotherapy–immunotherapy treatment protocol is developed for cancer treatment. Chemotherapy pushes the trajectory of the system towards the desired equilibrium point, and then immunotherapy alters the dynamics of the system by affecting the parameters of the system. A co-existing cancerous equilibrium point is considered as the desired equilibrium point instead of the tumour-free equilibrium. Chemotherapy protocol is derived using the pseudo-spectral (PS) controller due to its high convergence rate and simple implementation structure. Thus, one of the contributions of this study is simplifying the design procedure and reducing the controller computational load in comparison with Lyapunov-based controllers. In this method, an infinite-horizon optimal control problem is proposed for a non-linear cancer model. Then, the infinite-horizon optimal control of cancer is transformed into a non-linear programming problem. The efficient Legendre PS scheme is suggested to solve the proposed problem. Then, the dynamics of the system is modified by immunotherapy is another contribution. To restrict the upper limit of the chemo-drug dose based on the age of the patients, a Mamdani fuzzy system is designed, which is not present yet. Simulation results on four different dynamics cases how the efficiency of the proposed treatment strategy.

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伪光谱法控制肿瘤用药剂量

一种混合化疗-免疫治疗方案被开发用于癌症治疗。化疗将系统的轨迹推向所需的平衡点，然后免疫治疗通过影响系统的参数来改变系统的动力学。考虑一个共存的癌细胞平衡点作为期望的平衡点，而不是无肿瘤平衡点。基于伪谱控制器的化疗方案具有收敛速度快、实现结构简单等优点。因此，与基于lyapunov的控制器相比，本研究的贡献之一是简化了设计过程并减少了控制器的计算负荷。在此方法中，提出了一个非线性癌症模型的无限视界最优控制问题。然后，将癌症的无限视界最优控制问题转化为非线性规划问题。提出了一种高效的Legendre PS方案来解决上述问题。然后，通过免疫疗法改变系统的动力学是另一个贡献。为了根据患者的年龄限制化疗药物的剂量上限，设计了一个尚不存在的Mamdani模糊系统。仿真结果表明，在四种不同的动力学情况下，所提出的处理策略的效率如何。

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来源期刊

Accounts of Chemical Research 化学-化学综合

CiteScore

31.40

自引率

1.10%

发文量

312

审稿时长

2 months

期刊介绍： Accounts of Chemical Research presents short, concise and critical articles offering easy-to-read overviews of basic research and applications in all areas of chemistry and biochemistry. These short reviews focus on research from the author’s own laboratory and are designed to teach the reader about a research project. In addition, Accounts of Chemical Research publishes commentaries that give an informed opinion on a current research problem. Special Issues online are devoted to a single topic of unusual activity and significance. Accounts of Chemical Research replaces the traditional article abstract with an article "Conspectus." These entries synopsize the research affording the reader a closer look at the content and significance of an article. Through this provision of a more detailed description of the article contents, the Conspectus enhances the article's discoverability by search engines and the exposure for the research.