Despite a growing wealth of available molecular data, the growth of tumors, invasion of
tumors into healthy tissue, and response of tumors to therapies are still poorly understood …

Swarming or collective motion of living entities is one of the most common and spectacular
manifestations of living systems that have been extensively studied in recent years. A …

This book presents models written as partial differential equations and originating from
various questions in population biology, such as physiologically structured equations …

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 …

During development cells and tissues undergo changes in pattern and form that employ a
wider range of physical mechanisms than at any other time in an organism's life. This book …

In vitro cultures of endothelial cells are a widely used model system of the collective
behavior of endothelial cells during vasculogenesis and angiogenesis. When seeded in an …

In vertebrates, networks of capillary vessels supply tissues with nutrients. Capillary patterns
are closely mimicked by endothelial cells cultured on basement membrane proteins that …

Mathematical modeling is an essential approach for the understanding of complex
multicellular behaviors in tissue morphogenesis. Here, we review the cellular Potts model …

Two major mechanisms are involved in the formation of blood vasculature: vasculogenesis
and angiogenesis. The former term describes the formation of a capillary-like network from …

In this paper, we are concerned with a quasi-linear hyperbolic-parabolic system of
persistence and endogenous chemotaxis modelling vasculogenesis. Under some suitable …