Analyze of the Model for Cancer Transmission

A. Suvarnamani, P. Pongsumpun
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Abstract

Cancer is a disease which dividing of abnormal cells cannot controlled and can invade nearby tissues. Cancer cells can also spread to other body organs. Moreover, we know that the genetic is a cause of cancer. So, we used SIR model (Susceptible-Infected-Recovered) for focusing on the mathematical model of cancer. We examined the dynamics of the disease and use dynamic analysis for analyzing the stability of the model. Then we found the equilibrium states and the basic reproductive number of the mathematical model of cancer. By the numerical simulations, the comparison of the parameters effect to the model, result, and conclusion are presented. CCS CONCEPTS • Applied computing; • Life and medical sciences; • Computational biology;
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癌症传播模型的分析
癌症是一种异常细胞分裂无法控制并能侵入附近组织的疾病。癌细胞也可以扩散到身体的其他器官。此外,我们知道基因是癌症的一个原因。因此,我们使用SIR模型(易感-感染-康复)来关注癌症的数学模型。我们检查了疾病的动力学,并使用动力学分析来分析模型的稳定性。然后求出癌症数学模型的平衡态和基本繁殖数。通过数值模拟,比较了各参数对模型、结果和结论的影响。CCS概念•应用计算;•生命和医学科学;•计算生物学;
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