Waves in systems with cross-diffusion as a new class of nonlinear waves

MA Tsyganov, VN Biktashev, J Brindley… - Physics …, 2007 - iopscience.iop.org
Research on spatially extended excitable systems with cross-diffusion components is
reviewed. Particular attention is given to the new phenomena of the quasi-soliton and half …

[图书][B] Personalized Computational Hemodynamics: Models, Methods, and Applications for Vascular Surgery and Antitumor Therapy

Y Vassilevski, M Olshanskii, S Simakov, A Kolobov… - 2020 - books.google.com
Personalized Computational Hemodynamics: Models, Methods, and Applications for
Vascular Surgery and Antitumor Therapy offers practices and advances surrounding the …

Волны в кросс-диффузионных системах—особый класс нелинейных волн

МА Цыганов, ВН Бикташев, Д Бриндли… - Успехи физических …, 2007 - ufn.ru
Начиная с работы Тьюринга [1], математические модели формирования и
распространения нелинейных волн и процессов структурной самоорганизации в …

Transient alleviation of tumor hypoxia during first days of antiangiogenic therapy as a result of therapy-induced alterations in nutrient supply and tumor metabolism …

MB Kuznetsov, AV Kolobov - Journal of theoretical biology, 2018 - Elsevier
A number of experiments on mouse tumor models, as well as certain clinical data, have
demonstrated, that antiangiogenic therapy can lead to transient improvement in tumor …

Investigation of solid tumor progression with account of proliferation/migration dichotomy via Darwinian mathematical model

M Kuznetsov, A Kolobov - Journal of Mathematical Biology, 2020 - Springer
A new continuous spatially-distributed model of solid tumor growth and progression is
presented. The model explicitly accounts for mutations/epimutations of tumor cells which …

Mathematical modeling shows that the response of a solid tumor to antiangiogenic therapy depends on the type of growth

M Kuznetsov - Mathematics, 2020 - mdpi.com
It has been hypothesized that solid tumors with invasive type of growth should possess
intrinsic resistance to antiangiogenic therapy, which is aimed at cessation of the formation of …

Changes in VEGF level and tumor growth characteristics during Lewis lung carcinoma progression towards cis-DDP resistance

ON Pyaskovskaya, OI Dasyukevich… - Experimental …, 2007 - dspace.nbuv.gov.ua
Aim: To study the relationship between tumor angiogenic potential and its growth and
metastasis using Lewis lung carcinoma (LLC) models with different degree of resistance to …

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 …

[PDF][PDF] Трехмерная модель роста неваскуляризированной опухоли в ткани

СА Астанин, АИ Лобанов - Математика. Компьютер …, 2005 - mce.biophys.msu.ru
Рассматривается трёхмерная двухкомпонентная модель роста раковой опухоли в
ткани, с которой опухоль взаимодействует. Модель учитывает хемотаксис опухолевых …