Cellular aggregates have been used in developmental biology and in experimental cancer
research for several decades. Spherical aggregates of malignant cells, ie multicellular tumor …

Despite significant advances in oncological research, cancer nowadays remains one of the
main causes of mortality and morbidity worldwide. New treatment techniques, as a rule …

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 …

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 …

We have developed a novel and versatile three-dimensional cellular automaton model of
brain tumor growth. We show that macroscopic tumor behavior can be realistically modeled …

Tumors and multicellular tumor spheroids can develop gradients in oxygen concentration,
glucose concentration, and extracellular pH as they grow. In order to calculate these …

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 …

The book aims to provide an introduction to mathematical models that describe the
dynamics of tumor growth and the evolution of tumor cells. It can be used as a textbook for …

In cancer research and personalized medicine, new tissue culture models are needed to
better predict the response of patients to therapies. With a concern for the small volume of …

A characteristic of solid tumors is their heterogeneous distribution of blood flow, with
significant hypoxia and acidity in low-flow regions. We review effects of heterogeneous …