Geodesic
Comparison of six models of antiangiogenic therapy
Andrzej Świerniak1
1 Institute of Automatic Control Silesian University of Technology Akademicka 16 44-100 Gliwice, Poland
Applicationes Mathematicae, Tome 36 (2009) no. 3, pp. 333-348

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

Six models of antiangiogenic therapy are compared and analyzed from control-theoretic point of view. All of them consist of a model of tumor growth bounded by the capacity of a vascular network developed by the tumor in the process of angiogenesis and different models of dynamics of this network, and are based on the idea proposed by Hahnfeldt et al. Moreover, we analyse optimal control problems resulting from their use in treatment protocol design.
DOI : 10.4064/am36-3-6
Keywords: six models antiangiogenic therapy compared analyzed control theoretic point view consist model tumor growth bounded capacity vascular network developed tumor process angiogenesis different models dynamics network based idea proposed hahnfeldt moreover analyse optimal control problems resulting their treatment protocol design

Andrzej Świerniak 1

1 Institute of Automatic Control Silesian University of Technology Akademicka 16 44-100 Gliwice, Poland 
@article{10_4064_am36_3_6,
     author = {Andrzej \'Swierniak},
     title = {Comparison of six models of
 antiangiogenic therapy},
     journal = {Applicationes Mathematicae},
     pages = {333--348},
     publisher = {mathdoc},
     volume = {36},
     number = {3},
     year = {2009},
     doi = {10.4064/am36-3-6},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.4064/am36-3-6/}
}
TY  - JOUR
AU  - Andrzej Świerniak
TI  - Comparison of six models of
 antiangiogenic therapy
JO  - Applicationes Mathematicae
PY  - 2009
SP  - 333
EP  - 348
VL  - 36
IS  - 3
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/articles/10.4064/am36-3-6/
DO  - 10.4064/am36-3-6
LA  - en
ID  - 10_4064_am36_3_6
ER  - 
%0 Journal Article
%A Andrzej Świerniak
%T Comparison of six models of
 antiangiogenic therapy
%J Applicationes Mathematicae
%D 2009
%P 333-348
%V 36
%N 3
%I mathdoc
%U http://geodesic.mathdoc.fr/articles/10.4064/am36-3-6/
%R 10.4064/am36-3-6
%G en
%F 10_4064_am36_3_6
Andrzej Świerniak. Comparison of six models of
 antiangiogenic therapy. Applicationes Mathematicae, Tome 36 (2009) no. 3, pp. 333-348. doi: 10.4064/am36-3-6

Cité par Sources :