The desire to understand tumor complexity has given rise to mathematical models to
describe the tumor microenvironment. We present a new mathematical model for avascular …

We present a physiologically structured lattice model for vascular tumor growth which
accounts for blood flow and structural adaptation of the vasculature, transport of oxygen …

A nutrient-limited model for avascular cancer growth including cell proliferation, motility, and
death is presented. The model qualitatively reproduces commonly observed morphologies …

The intracellular and extracellular dynamics that govern tumor growth and invasiveness in
vivo remain poorly understood. Cell genotype and phenotype, and nutrient, oxygen, and …

In the past 30 years we have witnessed an extraordinary progress on the research in the
molecular biology of cancer, but its medical treatment, widely based on empirically …

In this article, we present a new multiscale mathematical model for solid tumour growth
which couples an improved model of tumour invasion with a model of tumour-induced …

We present a 3D multi-cell simulation of a generic simplification of vascular tumor growth
which can be easily extended and adapted to describe more specific vascular tumor types …

In this paper, we present and investigate a model for solid tumor growth that incorporates
features of the tumor microenvironment. Using analysis and nonlinear numerical …

Tumor spheroids grown in vitro have been widely used as models of in vivo tumor growth
because they display many of the characteristics of in vivo growth, including the effects of …

BACKGROUND: Cancer research has undergone radical changes in the past few years.
Producing information both at the basic and clinical levels is no longer the issue. Rather …