Comparison of six models of antiangiogenic therapy

Andrzej Świerniak

Applicationes Mathematicae (2009)

  • Volume: 36, Issue: 3, page 333-348
  • ISSN: 1233-7234

Abstract

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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.

How to cite

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Andrzej Świerniak. "Comparison of six models of antiangiogenic therapy." Applicationes Mathematicae 36.3 (2009): 333-348. <http://eudml.org/doc/279856>.

@article{AndrzejŚwierniak2009,
abstract = {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.},
author = {Andrzej Świerniak},
journal = {Applicationes Mathematicae},
keywords = {antiangiogenic therapy; tumor growth; vascular network; models of dynamics of networks; optimal control problems},
language = {eng},
number = {3},
pages = {333-348},
title = {Comparison of six models of antiangiogenic therapy},
url = {http://eudml.org/doc/279856},
volume = {36},
year = {2009},
}

TY - JOUR
AU - Andrzej Świerniak
TI - Comparison of six models of antiangiogenic therapy
JO - Applicationes Mathematicae
PY - 2009
VL - 36
IS - 3
SP - 333
EP - 348
AB - 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.
LA - eng
KW - antiangiogenic therapy; tumor growth; vascular network; models of dynamics of networks; optimal control problems
UR - http://eudml.org/doc/279856
ER -

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