Skip to main content
Disciplines
Automotive Business IT + Informatics Construction + Real Estate Electrical Engineering + Electronics Energy + Sustainability Insurance + Risk Finance + Banking Management + Leadership Marketing + Sales Mechanical Engineering + Materials
Events
DE
EN
Books
Journals
Topic Page
Marketing
Start single access now
Access for companies
EXTENDED SEARCH
Log in
Top
Published in:
Input-State-Output Representations of Concatenated 2D Convolutional Codes Read chapter Read first chapter

2017 | OriginalPaper | Chapter

Drug Administration Design for Cancer Gompertz Model Based on the Lyapunov Method

Authors : B. Andrade Costa, J. M. Lemos

Published in: CONTROLO 2016

Publisher: Springer International Publishing

Log in

Activate our intelligent search to find suitable subject content or patents.

search-config
loading …

Abstract

This article addresses the design of therapeutic procedures for cancer using a control based on the Gompertz model, that describes the nonlinear dynamics of tumor growth. The aim is to reduce the tumor size according to a decreasing target reference. The approach presented on this work uses a control Lyapunov function and yields an adaptive PI strategy that results from the exact linearization. It is concluded that the closed-loop system is globally asymptotically stable and is robust with respect to the presence of model parameter uncertainty.

Dont have a licence yet? Then find out more about our products and how to get one now:

Springer Professional "Wirtschaft+Technik"

Online-Abonnement

Mit Springer Professional "Wirtschaft+Technik" erhalten Sie Zugriff auf:

  • über 102.000 Bücher
  • über 537 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Finance + Banking
  • Management + Führung
  • Marketing + Vertrieb
  • Maschinenbau + Werkstoffe
  • Versicherung + Risiko

Jetzt Wissensvorsprung sichern!

inform now

Springer Professional "Technik"

Online-Abonnement

Mit Springer Professional "Technik" erhalten Sie Zugriff auf:

  • über 67.000 Bücher
  • über 390 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Maschinenbau + Werkstoffe




 

Jetzt Wissensvorsprung sichern!

inform now
previous chapter A New Robust Control Scheme for LTV Systems Using Output Integral Discrete Synergetic Control Theory
next chapter Sampled–Data Model Predictive Control Using Adaptive Time–Mesh Refinement Algorithms
Literature
1.
2.
Benzekry, S., Lamont, C., Beheshti, A., Tracz, A., Ebos, J.M.L., Hlatky, L., Hahnfeldt, P.: Classical mathematical models for description and prediction of experimental tumor growth. PLoS Comput. Biol. 10(8), e1003800 (08 2014)
3.
Laird, A.K.: Dynamics of tumour growth. Br. J. Cancer 13(3), 490–502 (1964)CrossRef
4.
5.
6.
Slotine, J.J., Li, W.: Applied Nonlinear Control. Prentice-Hall, Englewood Cliffs, NJ (1991)
Metadata
Title
Drug Administration Design for Cancer Gompertz Model Based on the Lyapunov Method
Authors
B. Andrade Costa
J. M. Lemos
Copyright Year
2017
Book
CONTROLO 2016

Print ISBN: 978-3-319-43670-8

Electronic ISBN: 978-3-319-43671-5

Copyright Year: 2017

DOI
https://doi.org/10.1007/978-3-319-43671-5_12