Mathematical models of developmental vascular remodelling: A review

Abstract

AU Over: Pleaseconfirmthatallheadinglevelsarerepresentedcorrectly the past 40 years, there has been a strong focus on the: development of mathematical models of angiogenesis, while developmental remodelling has received little such attention from the mathematical community. Sprouting angiogenesis can be seen as a very crude way of laying out a primitive vessel network (the raw material), while remodelling (understood as pruning of redundant vessels, diameter control, and the establishment of vessel identity and hierarchy) is the key to turning that primitive network into a functional network. This multiscale problem is of prime importance in the development of a functional vasculature. In ad..