Positive control of a minimal model of tumor growth with bevacizumab treatment

Dániel András Drexler, Johanna Sápi, L. Kovács

Research output: Chapter in Book/Report/Conference proceedingConference contribution

5 Citations (Scopus)

Abstract

Application of model-based control strategies for physiological control problems, like tumor therapy, may greatly improve the efficiency of clinical treatments. Our aim is to design a positive path tracking controller for a minimal model of tumor growth under angiogenic inhibition with bevacizumab treatment. We extend the dynamics of the system to ensure the positivity of the input, and design path tracking controller after exact linearization is carried out for the extended system. We carry out simulations for different reference signals for the path tracking controllers, and confirm that the tumor can be eliminated using bevacizumab therapy with physiologically feasible input signals. The resulting inputs are positive, and their maximal values are in physiologically feasible regions, thus the results may be applicable in clinical practice.

Original languageEnglish
Title of host publicationProceedings of the 2017 12th IEEE Conference on Industrial Electronics and Applications, ICIEA 2017
PublisherInstitute of Electrical and Electronics Engineers Inc.
Pages2084-2087
Number of pages4
Volume2018-February
ISBN (Electronic)9781538621035
DOIs
Publication statusPublished - Feb 5 2018
Event12th IEEE Conference on Industrial Electronics and Applications, ICIEA 2017 - Siem Reap, Cambodia
Duration: Jun 18 2017Jun 20 2017

Other

Other12th IEEE Conference on Industrial Electronics and Applications, ICIEA 2017
CountryCambodia
CitySiem Reap
Period6/18/176/20/17

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ASJC Scopus subject areas

  • Control and Optimization
  • Electrical and Electronic Engineering
  • Industrial and Manufacturing Engineering

Cite this

Drexler, D. A., Sápi, J., & Kovács, L. (2018). Positive control of a minimal model of tumor growth with bevacizumab treatment. In Proceedings of the 2017 12th IEEE Conference on Industrial Electronics and Applications, ICIEA 2017 (Vol. 2018-February, pp. 2084-2087). Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.1109/ICIEA.2017.8283181