Mathematical model of endothelial cell proliferation and maturation

Piotr Bajger; Mariusz Bodzioch

Mathematica Applicanda (2018)

  • Volume: 46, Issue: 1
  • ISSN: 1730-2668

Abstract

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Blood vessel sprouting (angiogenesis) is one of the hallmarks of cancer. Better quantitative understanding of this process would allow more effective antiangiogenic therapies to be developed. It has been hypothesised that not only the number of endothelial cells, but also the quality of the vasculature play an important role in how chemo- and radiotherapies are delivered to tumour site. Hence in this study a minimally-parametrised mathematical model of endothelial cell proliferation and maturation is developed. Endothelial cells are subdivided into two compartments -- mature and immature (or proliferating). The cells are assumed to undergo a self-mediated maturation, while loss of blood vessel quality is mediated by an external growth factor (here VEGF). The model is fitted to experimental data. The model shows how inhibition of VEGF results in better quality vasculature and slower proliferation.

How to cite

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Piotr Bajger, and Mariusz Bodzioch. "Mathematical model of endothelial cell proliferation and maturation." Mathematica Applicanda 46.1 (2018): null. <http://eudml.org/doc/292734>.

@article{PiotrBajger2018,
abstract = {Blood vessel sprouting (angiogenesis) is one of the hallmarks of cancer. Better quantitative understanding of this process would allow more effective antiangiogenic therapies to be developed. It has been hypothesised that not only the number of endothelial cells, but also the quality of the vasculature play an important role in how chemo- and radiotherapies are delivered to tumour site. Hence in this study a minimally-parametrised mathematical model of endothelial cell proliferation and maturation is developed. Endothelial cells are subdivided into two compartments -- mature and immature (or proliferating). The cells are assumed to undergo a self-mediated maturation, while loss of blood vessel quality is mediated by an external growth factor (here VEGF). The model is fitted to experimental data. The model shows how inhibition of VEGF results in better quality vasculature and slower proliferation.},
author = {Piotr Bajger, Mariusz Bodzioch},
journal = {Mathematica Applicanda},
keywords = {Angiogenesis, mathematical modelling, tumour growth, vascular endothelial growth factor},
language = {eng},
number = {1},
pages = {null},
title = {Mathematical model of endothelial cell proliferation and maturation},
url = {http://eudml.org/doc/292734},
volume = {46},
year = {2018},
}

TY - JOUR
AU - Piotr Bajger
AU - Mariusz Bodzioch
TI - Mathematical model of endothelial cell proliferation and maturation
JO - Mathematica Applicanda
PY - 2018
VL - 46
IS - 1
SP - null
AB - Blood vessel sprouting (angiogenesis) is one of the hallmarks of cancer. Better quantitative understanding of this process would allow more effective antiangiogenic therapies to be developed. It has been hypothesised that not only the number of endothelial cells, but also the quality of the vasculature play an important role in how chemo- and radiotherapies are delivered to tumour site. Hence in this study a minimally-parametrised mathematical model of endothelial cell proliferation and maturation is developed. Endothelial cells are subdivided into two compartments -- mature and immature (or proliferating). The cells are assumed to undergo a self-mediated maturation, while loss of blood vessel quality is mediated by an external growth factor (here VEGF). The model is fitted to experimental data. The model shows how inhibition of VEGF results in better quality vasculature and slower proliferation.
LA - eng
KW - Angiogenesis, mathematical modelling, tumour growth, vascular endothelial growth factor
UR - http://eudml.org/doc/292734
ER -

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