Cancer is a somatic evolutionary process characterized by the accumulation of mutations,
which contribute to tumor growth, clinical progression, immune escape, and drug resistance …

Adult gliomas are aggressive brain tumours associated with low patient survival rates and
limited life expectancy. The most important hallmark of this type of tumour is its invasive …

Despite major scientific, medical and technological advances over the last few decades, a
cure for cancer remains elusive. The disease initiation is complex, and including initiation …

Chaste—C ancer, H eart A nd S oft T issue E nvironment—is an open source C++ library for
the computational simulation of mathematical models developed for physiology and biology …

In this chapter we have presented mathematical modeling approaches to biological pattern
formation. While reaction-diffusion models are appropriate to describe the spatio-temporal …

Mathematical modeling, analysis and simulation are set to play crucial roles in explaining
tumor behavior, and the uncontrolled growth of cancer cells over multiple time and spatial …

To what extent the growth dynamics of tumors is controlled by nutrients, biomechanical
forces and other factors at different stages and in different environments is still largely …

In this paper we compare two alternative theoretical approaches for simulating the growth of
cell aggregates in vitro: individual cell (agent)-based models and continuum models. We …

In this article, we show, using a mathematical multiscale model, how cell adhesion may be
regulated by interactions between E-cadherin and β-catenin and how the control of cell …

Cancer is still one of the major causes of death worldwide. Even if its comprehension is
improving continuously, the complexity and heterogeneity of this group of diseases …