Robust Fixed Point Transformation based Proportional-Derivative Control of Angiogenic Tumor Growth

L. Kovács, György Eigner, J. Tar, I. Rudas

Research output: Contribution to journalArticle

1 Citation (Scopus)

Abstract

The usability of advanced control methods of physiological processes have been several times demonstrated. Advanced (i.e. MPC) control approaches cope with practical difficulties of limited measurability of the state variables, model-imprecisions, significant inter-patient variability of the available model's parameters and limitations in the sampling frequency of the variables that at least in principle can be directly measured. However, the lack of the necessary information prevents the use of state estimators. Compensation of the effects of the presence of model-imprecisions needs the application of robust control methods or adaptive techniques. The Proportional-Derivative (PD) control completed with Robust Fixed Point Transformation (RFPT)-based adaptive control was invented for tackling such difficulties. The current paper investigates the applicability of this technique in case of angiogenic growth of tumors using different scenarios of tumor volume measurement. Conclusions are drawn on the basis of numerical simulations.

Original languageEnglish
Pages (from-to)894-899
Number of pages6
JournalIFAC-PapersOnLine
Volume51
Issue number4
DOIs
Publication statusPublished - Jan 1 2018

Fingerprint

Tumors
Derivatives
Volume measurement
Robust control
Sampling
Computer simulation

Keywords

  • Adaptive Control
  • Banach's Fixed Point Theorem
  • Proportional Controls
  • Robust Fixed Point Transformation
  • Tumor Growth

ASJC Scopus subject areas

  • Control and Systems Engineering

Cite this

Robust Fixed Point Transformation based Proportional-Derivative Control of Angiogenic Tumor Growth. / Kovács, L.; Eigner, György; Tar, J.; Rudas, I.

In: IFAC-PapersOnLine, Vol. 51, No. 4, 01.01.2018, p. 894-899.

Research output: Contribution to journalArticle

@article{dbd030d34b2e42a78158b14bd61b06f3,
title = "Robust Fixed Point Transformation based Proportional-Derivative Control of Angiogenic Tumor Growth",
abstract = "The usability of advanced control methods of physiological processes have been several times demonstrated. Advanced (i.e. MPC) control approaches cope with practical difficulties of limited measurability of the state variables, model-imprecisions, significant inter-patient variability of the available model's parameters and limitations in the sampling frequency of the variables that at least in principle can be directly measured. However, the lack of the necessary information prevents the use of state estimators. Compensation of the effects of the presence of model-imprecisions needs the application of robust control methods or adaptive techniques. The Proportional-Derivative (PD) control completed with Robust Fixed Point Transformation (RFPT)-based adaptive control was invented for tackling such difficulties. The current paper investigates the applicability of this technique in case of angiogenic growth of tumors using different scenarios of tumor volume measurement. Conclusions are drawn on the basis of numerical simulations.",
keywords = "Adaptive Control, Banach's Fixed Point Theorem, Proportional Controls, Robust Fixed Point Transformation, Tumor Growth",
author = "L. Kov{\'a}cs and Gy{\"o}rgy Eigner and J. Tar and I. Rudas",
year = "2018",
month = "1",
day = "1",
doi = "10.1016/j.ifacol.2018.06.110",
language = "English",
volume = "51",
pages = "894--899",
journal = "IFAC-PapersOnLine",
issn = "2405-8963",
publisher = "IFAC Secretariat",
number = "4",

}

TY - JOUR

T1 - Robust Fixed Point Transformation based Proportional-Derivative Control of Angiogenic Tumor Growth

AU - Kovács, L.

AU - Eigner, György

AU - Tar, J.

AU - Rudas, I.

PY - 2018/1/1

Y1 - 2018/1/1

N2 - The usability of advanced control methods of physiological processes have been several times demonstrated. Advanced (i.e. MPC) control approaches cope with practical difficulties of limited measurability of the state variables, model-imprecisions, significant inter-patient variability of the available model's parameters and limitations in the sampling frequency of the variables that at least in principle can be directly measured. However, the lack of the necessary information prevents the use of state estimators. Compensation of the effects of the presence of model-imprecisions needs the application of robust control methods or adaptive techniques. The Proportional-Derivative (PD) control completed with Robust Fixed Point Transformation (RFPT)-based adaptive control was invented for tackling such difficulties. The current paper investigates the applicability of this technique in case of angiogenic growth of tumors using different scenarios of tumor volume measurement. Conclusions are drawn on the basis of numerical simulations.

AB - The usability of advanced control methods of physiological processes have been several times demonstrated. Advanced (i.e. MPC) control approaches cope with practical difficulties of limited measurability of the state variables, model-imprecisions, significant inter-patient variability of the available model's parameters and limitations in the sampling frequency of the variables that at least in principle can be directly measured. However, the lack of the necessary information prevents the use of state estimators. Compensation of the effects of the presence of model-imprecisions needs the application of robust control methods or adaptive techniques. The Proportional-Derivative (PD) control completed with Robust Fixed Point Transformation (RFPT)-based adaptive control was invented for tackling such difficulties. The current paper investigates the applicability of this technique in case of angiogenic growth of tumors using different scenarios of tumor volume measurement. Conclusions are drawn on the basis of numerical simulations.

KW - Adaptive Control

KW - Banach's Fixed Point Theorem

KW - Proportional Controls

KW - Robust Fixed Point Transformation

KW - Tumor Growth

UR - http://www.scopus.com/inward/record.url?scp=85048823770&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=85048823770&partnerID=8YFLogxK

U2 - 10.1016/j.ifacol.2018.06.110

DO - 10.1016/j.ifacol.2018.06.110

M3 - Article

AN - SCOPUS:85048823770

VL - 51

SP - 894

EP - 899

JO - IFAC-PapersOnLine

JF - IFAC-PapersOnLine

SN - 2405-8963

IS - 4

ER -