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

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.