4.7 Article

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

Journal

APPLIED MATHEMATICS LETTERS
Volume 21, Issue 7, Pages 662-668

Publisher

PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.aml.2007.05.019

Keywords

tumor; chemotherapy; fuzzy noise; fuzzy bifurcations; stochastic bifurcations

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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. (C) 2007 Elsevier Ltd. All rights reserved.

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