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

Alberto d'Onofrio

Research output: Contribution to journalArticlepeer-review

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.

Original languageEnglish
Pages (from-to)662-668
Number of pages7
JournalApplied Mathematics Letters
Volume21
Issue number7
DOIs
Publication statusPublished - Jul 2008

Keywords

  • Chemotherapy
  • Fuzzy bifurcations
  • Fuzzy noise
  • Stochastic bifurcations
  • Tumor

ASJC Scopus subject areas

  • Computational Mechanics
  • Control and Systems Engineering
  • Applied Mathematics
  • Numerical Analysis

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