A mathematical model describing the growth of an invasive tumor in a tissue is developed
taking into account angiogenesis. Malignant cells in the state of metabolic stress generate a …

Cancer cells require higher oxygen levels and nutrition than normal cells. Cancer cells
induce angiogenesis (the development of new blood vessels) from preexisting vessels. This …

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 …

We present an approach to generate 3-D arterial tree models based on physiological
principles while at the same time certain morphological properties are enforced at …

Blood vessel growth is pivotal in various processes in health and disease; examples are
embryogenesis, inflammation, wound healing, cardiac ischemia, diabetic retinopathy, and …

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 …

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

The study of vascular network morphology is of great significance for the analysis and
treatment of diseases. However, the mechanism of vascular network formation during …

В последнее десятилетие в онкологии наряду с классическими цитотоксическими
агентами при химиотерапии стали активно использоваться антиангиогенные …

A simulation of a hybrid multi-scale phase-field model which describes the dynamics of the
interface that divides the new capillaries and the stroma was performed. Four equations …