… Although these are challenges are not limited to angiogenesis models, we will use published
models of angiogenesis to showcase how modelers have attempted to overcome issues …

… for modeling pathological and regenerative angiogenesis in the … of angiogenesis. The
ultimate aim is to provide insights and advances from various models in the realm of angiogenesis …

… Having provided an overview of the key mathematical modeling papers in the area of
tumor-induced angiogenesis, the aim of this review is to provide a critical discussion of the current …

… regulation of vascularization (angiogenesis) in normal and … Beside experimental strategies,
in silico endothelial models, … and integrate discrete Cellular Potts Models. They are able to …

… We consider a simple model arising in modeling angiogenesis and more specifically the
development of capillary blood vessels due to an exogenous chemo-attractive signal (solid …

… Existing models approach different pieces of the angiogenic process (Figure 1): blood flow
… Later, we introduce these angiogenesis models, describe their applications at different …

… angiogenesis in two dimensions. By comparing the discrete and one-dimensional continuum
models… In contrast to the phenomenological continuum models in the literature, we find that …

… through a process called angiogenesis. These growth factors … Thus angiogenesis is the
sine qua non for cancer invasion, … Angiogenesis involves many intermediate steps, and to give …

… mathematical models which describe the formation of the capillary sprout network in response
to chemical stimuli (tumor angiogenic factors, TAF) supplied by a solid tumor. The models …

… in the development of these models, and discuss the importance of … of angiogenesis. This
review also discusses our own 3-D … of angiogenesis and the assays used in vitro in modeling it. …