Tumor cell invasion is an essential hallmark in the progression of malignant cancer. Thereby, cancer cells
migrate through the surrounding tissue (normal cells, extracellular matrix, interstitial fluid) towards
blood or lymph vessels which they penetrate and thus access the blood flow. They are carried by blood
circulation to distant locations where they extravasate and develop new tumors, a phenomenon known as
Cells in tissues are exposed to complex interactions with other cells, with chemical cues and with mechanical
constraints, where, at the same time, they perform complicated functions. The dynamics of a tumor in terms of
development, proliferation, invasion, and treatment is decisively influenced by this complexity, whose
understanding can help improving therapy approaches or even devising new ones.
Mathematical models offer a powerful tool to gain insight into the complicated biological processes connected
to tumor invasion. A large variety of modeling approaches has been proposed during the last decay, ranging
from (semi)discrete settings to continuous formulations and addressing various biological aspects on one or
several scales, in deterministic or stochastic frameworks. Some of the new developments in the field of
biomedical oncology were inspired by such models. Beyond, however, their aim to describe biomedical relevant
facts, the models have also stimulated advanced mathematical research.
The huge development of experimental techniques together with the advent of powerful computing facilities to
handle highly complex models can advance interdisciplinary knowledge about tumor dynamics and treatment
options. It is the aim of this workshop to bring together scientists working on these timely and challenging
topics of mathematical oncology and to offer an international framework for strengthening the synergies
between the involved branches of applied mathematics, but also between mathematics and life sciences.