Controllability of a model of combined anticancer therapy

Jerzy Klamka; Andrzej Swierniak

Controllability of a model of combined anticancer therapy

Jerzy Klamka
, Andrzej Swierniak

Wyniki badań: Wkład do czasopisma › Artykuł › recenzja

9 Cytowania z bazy Scopus

Abstrakt

Controllability of combination of antiangiogenic treatment and chemotherapy is considered. A model used in the paper is a finite-dimensional dynamical control system described by second order semilinear time invariant ordinary differential state equations. Using a generalized open mapping theorem, sufficient conditions for constrained local controllability in a given time interval are formulated and proved. These conditions require verification of constrained global controllability of the associated linear second-order dynamical control system.

Język oryginału	angielski
Strony (od–do)	123-138
Liczba stron	16
Czasopismo	Control and Cybernetics
Tom	42
Numer wydania	1
Status publikacji	Opublikowano - 2013

Cele SDG ONZ

Ten wynik przyczynia się do realizacji następujących celów zrównoważonego rozwoju

Cel 3 Dobre zdrowie i dobre samopoczucie

Obszary tematyczne ASJC Scopus

Inżynieria sterowania i systemów
Modelowanie i symulacja
Matematyka stosowana

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Cytowanie

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title = "Controllability of a model of combined anticancer therapy",

abstract = "Controllability of combination of antiangiogenic treatment and chemotherapy is considered. A model used in the paper is a finite-dimensional dynamical control system described by second order semilinear time invariant ordinary differential state equations. Using a generalized open mapping theorem, sufficient conditions for constrained local controllability in a given time interval are formulated and proved. These conditions require verification of constrained global controllability of the associated linear second-order dynamical control system.",

keywords = "Biomathematical modelling, Cancer therapy, Controllability, Semilinear systems",

author = "Jerzy Klamka and Andrzej Swierniak",

year = "2013",

language = "English",

volume = "42",

pages = "123--138",

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T1 - Controllability of a model of combined anticancer therapy

AU - Klamka, Jerzy

AU - Swierniak, Andrzej

PY - 2013

Y1 - 2013

N2 - Controllability of combination of antiangiogenic treatment and chemotherapy is considered. A model used in the paper is a finite-dimensional dynamical control system described by second order semilinear time invariant ordinary differential state equations. Using a generalized open mapping theorem, sufficient conditions for constrained local controllability in a given time interval are formulated and proved. These conditions require verification of constrained global controllability of the associated linear second-order dynamical control system.

AB - Controllability of combination of antiangiogenic treatment and chemotherapy is considered. A model used in the paper is a finite-dimensional dynamical control system described by second order semilinear time invariant ordinary differential state equations. Using a generalized open mapping theorem, sufficient conditions for constrained local controllability in a given time interval are formulated and proved. These conditions require verification of constrained global controllability of the associated linear second-order dynamical control system.

KW - Biomathematical modelling

KW - Cancer therapy

KW - Controllability

KW - Semilinear systems

UR - https://www.scopus.com/pages/publications/85018222592

M3 - Article

AN - SCOPUS:85018222592

SN - 0324-8569

VL - 42

SP - 123

EP - 138

JO - Control and Cybernetics

JF - Control and Cybernetics

IS - 1

ER -

Controllability of a model of combined anticancer therapy

Abstrakt

Cele SDG ONZ

Obszary tematyczne ASJC Scopus

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Cytowanie