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首页> 外文期刊>Journal of intelligent & fuzzy systems: Applications in Engineering and Technology >A full fuzzy generalized mathematical model of tumor growth and its analysis
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A full fuzzy generalized mathematical model of tumor growth and its analysis

机译：肿瘤生长的全面模糊广义数学模型及其分析

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Mathematical modelling as a useful technique to obtain a better and wider perception of a complex biological subject such as cancer, has been increasingly applied in recent years. Since the parameters of a mathematical model are obtained by observations and measurements, they are exposed to errors and have uncertainty and ambiguity in their nature. In this paper, in order to achieve a more realistic mathematical model of tumor growth, a system of integro-partial differential equations which describes the growth of a tumor characterized by the presence of cancer stem cells - which are the main reason of treatment failure and tumor relapse - is generalized to a fuzzy integro-partial differential system. Introducing some definitions, several theorems are proved to convert the fuzzy integro-partial differential system to an optimization problem. The proposed new method computes not only the approximate fuzzy solution of the full fuzzy system, but also the difference between the exact and approximate solution. It is further found that the tumor growth paradox appears in the full fuzzy mathematical model of tumor growth as well.
机译：数学建模作为获得更好和更广泛的对癌症的复杂生物学对象的更好观念的有用技术，近年来越来越多地应用。由于数学模型的参数通过观察和测量获得，因此它们暴露于误差并在其性质中具有不确定性和歧义。在本文中，为了实现更现实的肿瘤生长的数学模型，一种积分部分微分方程的系统，其描述了通过存在癌症干细胞的存在的肿瘤的生长 - 这是治疗失败的主要原因肿瘤复发 - 广泛地是模糊积分部分差分系统。引入了一些定义，证明了几个定理将模糊积分部分差分系统转换为优化问题。所提出的新方法不仅计算了全模模糊系统的近似模糊解决方案，还计算了精确和近似解的差异。进一步发现肿瘤生长悖论也出现在肿瘤生长的全模糊数学模型中。

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