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

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Abstract

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. © 2007 Elsevier Ltd. All rights reserved.

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d’Onofrio, A. (2008). “Fuzzy oncology”: Fuzzy noise induced bifurcations and their application to anti-tumor chemotherapy. Applied Mathematics Letters, 21(7), 662–668. https://doi.org/10.1016/j.aml.2007.05.019

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