Mathematical modelling for spatial optimization of irradiation during proton radiotherapy with nanosensitizers

M Kuznetsov, A Kolobov - Russian Journal of Numerical Analysis …, 2023 - degruyter.com
A spatially distributed mathematical model is presented that simulates the growth of a non-
invasive tumour undergoing treatment by fractionated proton therapy with the use of non …

Analysis of anticancer efficiency of combined fractionated radiotherapy and antiangiogenic therapy via mathematical modelling

MB Kuznetsov, VV Gubernov… - Russian Journal of …, 2018 - degruyter.com
One of the relatively new modalities in treatment of cancer is antiangiogenic therapy (AAT),
which stops the formation of new blood vessels, thus leading to nutrient deprivation of a …

The influence of chemotherapy on the progression of a biclonal tumor: analysis using mathematical modeling

MB Kuznetsov, AV Kolobov - Biophysics, 2019 - Springer
The effect of chemotherapy on the composition of a solid biclonal tumor was studied using
mathematical modeling. In a solid biclonal tumor, cells of one population possess greater …

Multiscale modeling of angiogenic tumor growth, progression, and therapy

MB Kuznetsov, NO Gorodnova, SS Simakov… - Biophysics, 2016 - Springer
A mathematical model of angiogenic tumor growth in tissue with account of bevacizumab
therapy was developed. The model accounts for convective flows that occur in dense tissue …

Mathematical modelling of chemotherapy combined with bevacizumab

MB Kuznetsov, AV Kolobov - Russian Journal of Numerical Analysis …, 2017 - degruyter.com
Antiangiogenic therapy is aimed at the blocking of angiogenesis, ie, the process of new
blood vessels formation, which should decrease oxygen and nutrients inflow to tumor and …

Mathematical investigation of antiangiogenic monotherapy effect on heterogeneous tumor progression

MB Kuznetsov, AV Kolobov - Computer research and modeling, 2017 - mathnet.ru
MB Kuznetsov, AV Kolobov, “Mathematical investigation of antiangiogenic monotherapy effect
on heterogeneous tumor progression”, Computer Research and Modeling, 9:3 (2017), 487–501 …

Исследование влияния антиангиогенной монотерапии на прогрессию гетерогенной опухоли с помощью методов математического моделирования

МБ Кузнецов, АВ Колобов - Компьютерные исследования и …, 2017 - mathnet.ru
В последнее десятилетие в онкологии наряду с классическими цитотоксическими
агентами при химиотерапии стали активно использоваться антиангиогенные …

Optimization of Combined Antitumor Chemotherapy with Bevacizumab by Means of Mathematical Modeling

MB Kuznetsov, AV Kolobov - … Problems: Selected works from the BIOMAT …, 2018 - Springer
Unlike traditional tumor treatment which kills proliferating cells, antiangiogenic therapy is
aimed at blocking of angiogenesis, ie, new blood vessels formation, which should decrease …

ВЛИЯНИЕ ХИМИОТЕРАПИИ НА ПРОГРЕССИЮ БИКЛОНАЛЬНОЙ ОПУХОЛИ-АНАЛИЗ МЕТОДОМ МАТЕМАТИЧЕСКОГО МОДЕЛИРОВАНИЯ

МБ Кузнецов, АВ Колобов - Биофизика, 2019 - elibrary.ru
Методом математического моделирования исследовано влияние химиотерапии на
композиционный состав солидной биклональной опухоли, в которой клетки одной …

Многомасштабное моделирование роста, прогрессии и терапии ангиогенной опухоли

МБ Кузнецов, НО Городнова, СС Симаков… - Биофизика, 2016 - elibrary.ru
Разработана математическая модель роста ангиогенной опухоли в ткани с учетом
терапии бевацизумабом. В модели учитываются конвективные потоки, возникающие в …