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从进化博弈论视角对癌症干细胞治疗进行建模与分析

Modeling and Analyzing Stem-Cell Therapy toward Cancer: Evolutionary Game Theory Perspective.

作者信息

Veisi Zahra, Khadem Heydar, Ravanshadi Samin

机构信息

Department of Electrical and Computer Engineering, Razi University, Kermanshah, Iran.

Department of Electronic and Electrical Engineering, University of Sheffield, Sheffield, United Kingdom.

出版信息

Iran J Public Health. 2020 Jan;49(1):145-156.

PMID:32309233
原文链接:https://pmc.ncbi.nlm.nih.gov/articles/PMC7152621/
Abstract

BACKGROUND

Immunotherapy is a recently developed method of cancer therapy, aiming to strengthen a patient's immune system in different ways to fight cancer. One of these ways is to add stem cells into the patient's body.

METHODS

The study was conducted in Kermanshah, western Iran, 2016-2017. We first modeled the interaction between cancerous and healthy cells using the concept of evolutionary game theory. System dynamics were analyzed employing replicator equations and control theory notions. We categorized the system into separate cases based on the value of the parameters. For cases in which the system converged to undesired equilibrium points, "stem-cell injection" was employed as a therapeutic suggestion. The effect of stem cells on the model was considered by reforming the replicator equations as well as adding some new parameters to the system.

RESULTS

By adjusting stem cell-related parameters, the system converged to desired equilibrium points, i.e., points with no or a scanty level of cancerous cells. In addition to the theoretical analysis, our simulation results suggested solutions were effective in eliminating cancerous cells.

CONCLUSION

This model could be applicable to different types of cancer, so we did not restrict it to a specific type of cancer. In fact, we were seeking a flexible mathematical framework that could cover different types of cancer by adjusting the system parameters.

摘要

背景

免疫疗法是一种最近开发的癌症治疗方法,旨在通过不同方式增强患者的免疫系统以对抗癌症。其中一种方式是将干细胞注入患者体内。

方法

该研究于2016 - 2017年在伊朗西部的克尔曼沙阿进行。我们首先使用进化博弈论的概念对癌细胞与健康细胞之间的相互作用进行建模。运用复制方程和控制理论概念分析系统动力学。我们根据参数值将系统分为不同情况。对于系统收敛到不期望平衡点的情况,采用“干细胞注射”作为治疗建议。通过修改复制方程以及向系统中添加一些新参数来考虑干细胞对模型的影响。

结果

通过调整与干细胞相关的参数,系统收敛到期望的平衡点,即癌细胞数量为零或极少的点。除了理论分析外,我们的模拟结果表明这些解决方案在消除癌细胞方面是有效的。

结论

该模型可适用于不同类型的癌症,因此我们并未将其局限于特定类型的癌症。实际上,我们正在寻求一个灵活的数学框架,通过调整系统参数来涵盖不同类型的癌症。

https://cdn.ncbi.nlm.nih.gov/pmc/blobs/cfb3/7152621/6aa5c6551831/IJPH-49-145-g007.jpg
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https://cdn.ncbi.nlm.nih.gov/pmc/blobs/cfb3/7152621/1d8c721a5838/IJPH-49-145-g003.jpg
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https://cdn.ncbi.nlm.nih.gov/pmc/blobs/cfb3/7152621/1582b530caf6/IJPH-49-145-g006.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/cfb3/7152621/6aa5c6551831/IJPH-49-145-g007.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/cfb3/7152621/53d2e701cb44/IJPH-49-145-g001.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/cfb3/7152621/33fbec5b0aa7/IJPH-49-145-g002.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/cfb3/7152621/1d8c721a5838/IJPH-49-145-g003.jpg
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https://cdn.ncbi.nlm.nih.gov/pmc/blobs/cfb3/7152621/1582b530caf6/IJPH-49-145-g006.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/cfb3/7152621/6aa5c6551831/IJPH-49-145-g007.jpg

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