The extracellular matrix (ECM) is a highly complex structure through which biochemical and
mechanical signals are transmitted. In processes of cell migration, the ECM also acts as a …

The complexity of morphogenesis poses a fundamental challenge to understanding the
mechanisms governing the formation of biological patterns and structures. Over the past …

Morpheus is a modeling environment for the simulation and integration of cell-based models
with ordinary differential equations and reaction-diffusion systems. It allows rapid …

The application of mathematical models to explain the dynamics of biological pattern
formation started with the work of D'Arcy Thompson who showed that mathematics cannot …

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 …

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 …

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 …

Vascular development is a complex process regulated by dynamic biological networks that
vary in topology and state across different tissues and developmental stages. Signals …

Angiogenesis, the formation of new blood vessels sprouting from existing ones, occurs in
several situations like wound healing, tissue remodeling, and near growing tumors. Under …