We simulate the dynamics of a growing, vascular tumor with a heterogeneous vasculature
and its behaviour under combination chemotherapy. The studied model includes two spatial …

We study the effect of intra-tumor heterogeneity on the dynamics of a growing tumor, utilizing
a two-dimensional continuum model. The cancerous phase is divided into two sub-phases …

An existing multiscale model is extended to study the response of a vascularised tumour to
treatment with chemotherapeutic drugs which target proliferating cells. The underlying …

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 …

The aim of this paper is to investigate the conditions required to optimize the amount of
chemotherapeutic drug absorbed by a solid tumour through a network of blood vessels. This …

The aim here was to explore the potential of pharmacokinetic (PK)/pharmacodynamic (PD)
and physiopathological parameters in explaining the primary effects of an anti-cancer …

Simple Summary The investigation of chemotherapy combined with anti-angiogenesis has
garnered significant attention from researchers. The aim of this study is to provide a …

In this paper we formulate and explore a mathematical model to study continuous infusion of
a vascular tumour with isolated and combined blood-borne chemotherapies. The …

We propose in this article to compare the efficiency of two chemotherapeutic schedules: the
traditional and the metronomic. For this, we develop a new mathematical model describing …

We introduce a nonlinear bi-compartmental dynamic tumor cell and supporting vasculature
volume growth model which takes into account nutrient and cell proliferation, necrosis and …