Speaker: Maxim Kuznetsov, researcher of the Interdisciplinary Scientific Center "Mathematical Modeling in Biomedicine" of the Peoples Friendship University of Russia.
Topic: Modelling of monoantiangiogenic therapy of solid tumors with different type of growth.
Annotation. 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 formation of new blood vessels and subsequent shortage of nutrient inflow to the tumor. In order to investigate this effect, a continuous mathematical model of tumor growth was developed, which considers variables of tumor cells, necrotic tissue, capillaries and glucose as the crucial nutrient. The model accounts for the intrinsic motility of tumor cells and for the convective motion, arising due to their proliferation, thus allowing to consider two types of tumor growth -- invasive and compact -- as well as their combination. Analytical estimations of tumor growth speed are obtained for compact and invasive tumors. They suggest, that antiangiogenic therapy may provide a several times decrease of compact tumor growth speed, but the decrease of growth speed for invasive tumors should be only modest. These estimations are confirmed by numerical simulations, which further allow to evaluate the effect of antiangiogenic therapy on tumors with mixed growth type and highlight the non-additive character of the two types of growth.
Online seminar: Link to seminar.