Mathematical modeling of low invasive tumor growth with account of inactivation of vascular endothelial growth factor by antiangiogenic drug
A mathematical model of tumor growth in tissue taking into account angiogenesis and antiangiogenic therapy is developed. In the model the convective flows in tissue are considered as well as individual motility of tumor cells. It is considered that a cell starts to migrate if the nutrient concentrat...
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Institute of Computer Science
2015-04-01
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Series: | Компьютерные исследования и моделирование |
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Online Access: | http://crm.ics.org.ru/uploads/crmissues/crm_2015_2/15714.pdf |
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doaj-bbbc5d5d66fc41969e67f4f781c220ec2020-11-24T21:55:31ZrusInstitute of Computer ScienceКомпьютерные исследования и моделирование2076-76332077-68532015-04-017236137410.20537/2076-7633-2015-7-2-361-3742270Mathematical modeling of low invasive tumor growth with account of inactivation of vascular endothelial growth factor by antiangiogenic drugA. V. KolobovMaxim Borisovich KuznetsovA mathematical model of tumor growth in tissue taking into account angiogenesis and antiangiogenic therapy is developed. In the model the convective flows in tissue are considered as well as individual motility of tumor cells. It is considered that a cell starts to migrate if the nutrient concentration falls lower than the critical level and returns into proliferation in the region with high nutrient concentration. Malignant cells in the state of metabolic stress produce vascular endothelial growth factor (VEGF), stimulating tumor angiogenesis, which increases the nutrient supply. In this work an antiangiogenic drug which bounds irreversibly to VEGF, converting it to inactive form, is modeled. Numerical analysis of influence of antiangiogenic drug concentration and efficiency on tumor rate of growth and structure is performed. It is shown that antiangiogenic therapy can decrease the growth of low-invasive tumor, but is not able to stop it completely.http://crm.ics.org.ru/uploads/crmissues/crm_2015_2/15714.pdfmathematical modelingtumorVEGFantiangiogenic therapy |
collection |
DOAJ |
language |
Russian |
format |
Article |
sources |
DOAJ |
author |
A. V. Kolobov Maxim Borisovich Kuznetsov |
spellingShingle |
A. V. Kolobov Maxim Borisovich Kuznetsov Mathematical modeling of low invasive tumor growth with account of inactivation of vascular endothelial growth factor by antiangiogenic drug Компьютерные исследования и моделирование mathematical modeling tumor VEGF antiangiogenic therapy |
author_facet |
A. V. Kolobov Maxim Borisovich Kuznetsov |
author_sort |
A. V. Kolobov |
title |
Mathematical modeling of low invasive tumor growth with account of inactivation of vascular endothelial growth factor by antiangiogenic drug |
title_short |
Mathematical modeling of low invasive tumor growth with account of inactivation of vascular endothelial growth factor by antiangiogenic drug |
title_full |
Mathematical modeling of low invasive tumor growth with account of inactivation of vascular endothelial growth factor by antiangiogenic drug |
title_fullStr |
Mathematical modeling of low invasive tumor growth with account of inactivation of vascular endothelial growth factor by antiangiogenic drug |
title_full_unstemmed |
Mathematical modeling of low invasive tumor growth with account of inactivation of vascular endothelial growth factor by antiangiogenic drug |
title_sort |
mathematical modeling of low invasive tumor growth with account of inactivation of vascular endothelial growth factor by antiangiogenic drug |
publisher |
Institute of Computer Science |
series |
Компьютерные исследования и моделирование |
issn |
2076-7633 2077-6853 |
publishDate |
2015-04-01 |
description |
A mathematical model of tumor growth in tissue taking into account angiogenesis and antiangiogenic therapy is developed. In the model the convective flows in tissue are considered as well as individual motility of tumor cells. It is considered that a cell starts to migrate if the nutrient concentration falls lower than the critical level and returns into proliferation in the region with high nutrient concentration. Malignant cells in the state of metabolic stress produce vascular endothelial growth factor (VEGF), stimulating tumor angiogenesis, which increases the nutrient supply. In this work an antiangiogenic drug which bounds irreversibly to VEGF, converting it to inactive form, is modeled. Numerical analysis of influence of antiangiogenic drug concentration and efficiency on tumor rate of growth and structure is performed. It is shown that antiangiogenic therapy can decrease the growth of low-invasive tumor, but is not able to stop it completely. |
topic |
mathematical modeling tumor VEGF antiangiogenic therapy |
url |
http://crm.ics.org.ru/uploads/crmissues/crm_2015_2/15714.pdf |
work_keys_str_mv |
AT avkolobov mathematicalmodelingoflowinvasivetumorgrowthwithaccountofinactivationofvascularendothelialgrowthfactorbyantiangiogenicdrug AT maximborisovichkuznetsov mathematicalmodelingoflowinvasivetumorgrowthwithaccountofinactivationofvascularendothelialgrowthfactorbyantiangiogenicdrug |
_version_ |
1725862073350488064 |