We briefly review spatially homogeneous mechanistic mathematical models describing the
interactions between a malignant tumor and the immune system. We begin with the simplest …

The advances in genetics and biochemistry that have taken place over the last 10 years led
to significant advances in experimental and clinical immunology. In turn, this has led to the …

In this paper we present an overview of agent-based models that are used to simulate
mechanical and physiological phenomena in cells and tissues, and we discuss underlying …

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 …

In order to metastasize, cancer cells need to acquire a motile phenotype. Previously,
development of this phenotype was thought to rely on the acquisition of selected, random …

When the immune system responds to tumour development, patterns of immune infiltrates
emerge, highlighted by the expression of immune checkpoint-related molecules such as …

We develop a thermodynamically consistent mixture model for avascular solid tumor growth
which takes into account the effects of cell-to-cell adhesion, and taxis inducing chemical and …

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 …

Despite the fact that the local immunological microenvironment shapes the prognosis of
colorectal cancer, immunotherapy has shown no benefit for the vast majority of colorectal …

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 …