Angiogeneza nowotworów jako obiekt sterowania

Translated title of the contribution: Cancer angiogenesis as an object of control

Andrzej Świerniak, Grzegorz Gala, Alberto d'Onofrio, Alberto Gandolfi

Research output: Contribution to journalArticlepeer-review

Abstract

A model of tumor growth taking into account its vascularization due to angiogenesis and antiangiogenic cancer chemotherapy is proposed and analised. The model is a modified Hahnfeldt model and the analysis has two goals: first of all we check stability of the equilibrium point of the model using Lyapunov first and second methods to find conditions leading to tumour eradication, and then we propose an optimization problem and give necessary conditions of its solution basing on the Pontryagin maximum principle.

Translated title of the contributionCancer angiogenesis as an object of control
Original languagePolish
Pages (from-to)124-127
Number of pages4
JournalPrzeglad Elektrotechniczny
Volume84
Issue number4
Publication statusPublished - 2008

Keywords

  • Anticancer therapy
  • Biomedical modeling
  • Nonlinear control
  • Stability

ASJC Scopus subject areas

  • Electrical and Electronic Engineering

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