“Fuzzy oncology”: Fuzzy noise induced bifurcations and their application to anti-tumor chemotherapy

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• 作者：Alberto d’ ; Onofrio
• 关键词：Tumor ; Chemotherapy ; Fuzzy noise ; Fuzzy bifurcations ; Stochastic bifurcations
• 刊名：Applied Mathematics Letters
• 出版年：2008
• 期刊代码：5_08939659
• 类别：mt
• 出版时间：July 2008
• 卷：21
• 期：7
• 页码：662-668
• 文件大小：204 K

摘要

The aim of this work is to apply the recently developed theory of fuzzy bifurcations in order to model and study the effects of anti-tumor chemotherapy in the case of continuous infusion delivering. Noises and uncertainties are modelled by means of a fuzzy noise. Then, we perform some comparisons with a white noise based model and its bifurcation, showing that the fuzzy approach, although it is not perfect, is more biologically realistic.