Some remarks on modelling of drug resistance for low grade gliomas

Marek Bodnar; Urszula Foryś

Mathematica Applicanda (2019)

  • Volume: 47, Issue: 2
  • ISSN: 1730-2668

Abstract

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In this paper we present a version of a simple mathematical model of acquiring drug resistance which was proposed in Bodnar and Foryś (2017). We based the original model on the idea coming from Pérez-García et al. (2015). Now, we include the explicit death term into the system and show that the dynamics of the new version of the model is the same as the dynamics of the second model considered by us and based on the idea of Ollier et al. (2017). We discuss the model dynamics and its dependence on the model parameters on the example of gliomas.

How to cite

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Marek Bodnar, and Urszula Foryś. "Some remarks on modelling of drug resistance for low grade gliomas." Mathematica Applicanda 47.2 (2019): null. <http://eudml.org/doc/295477>.

@article{MarekBodnar2019,
abstract = {In this paper we present a version of a simple mathematical model of acquiring drug resistance which was proposed in Bodnar and Foryś (2017). We based the original model on the idea coming from Pérez-García et al. (2015). Now, we include the explicit death term into the system and show that the dynamics of the new version of the model is the same as the dynamics of the second model considered by us and based on the idea of Ollier et al. (2017). We discuss the model dynamics and its dependence on the model parameters on the example of gliomas.},
author = {Marek Bodnar, Urszula Foryś},
journal = {Mathematica Applicanda},
keywords = {low-grade glioma; drug resistance; mathematical modelling; global stability},
language = {eng},
number = {2},
pages = {null},
title = {Some remarks on modelling of drug resistance for low grade gliomas},
url = {http://eudml.org/doc/295477},
volume = {47},
year = {2019},
}

TY - JOUR
AU - Marek Bodnar
AU - Urszula Foryś
TI - Some remarks on modelling of drug resistance for low grade gliomas
JO - Mathematica Applicanda
PY - 2019
VL - 47
IS - 2
SP - null
AB - In this paper we present a version of a simple mathematical model of acquiring drug resistance which was proposed in Bodnar and Foryś (2017). We based the original model on the idea coming from Pérez-García et al. (2015). Now, we include the explicit death term into the system and show that the dynamics of the new version of the model is the same as the dynamics of the second model considered by us and based on the idea of Ollier et al. (2017). We discuss the model dynamics and its dependence on the model parameters on the example of gliomas.
LA - eng
KW - low-grade glioma; drug resistance; mathematical modelling; global stability
UR - http://eudml.org/doc/295477
ER -

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