Mathematical modelling of angiogenesis using continuous cell-based models
نویسندگان
چکیده
منابع مشابه
Mathematical modelling of angiogenesis using continuous cell-based models
In this work, we develop a mathematical formalism based on a 3D in vitro model that is used to simulate the early stages of angiogenesis. The model treats cells as individual entities that are migrating as a result of chemotaxis and durotaxis. The phenotypes used here are endothelial cells that can be distinguished into stalk and tip (leading) cells. The model takes into account the dynamic int...
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Angiogenesis, the formation of blood vessels from a pre-existing vasculature, is a process whereby capillary sprouts are formed in response to externally supplied chemical stimuli. The sprouts then grow and develop, driven initially by endothelial-cell migration, and organize themselves into a dendritic structure. Subsequent cell proliferation near the sprout tip permits further extension of th...
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Introduction Robotics and computer vision are interdisciplinary subjects at the intersection of engineering and computer science. By their nature, they deal with both computers and the physical world. Although the former are in the latter, the workings of computers are best described in the black-and-white vocabulary of discrete mathematics, which is foreign to most classical models of reality,...
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ژورنال
عنوان ژورنال: Biomechanics and Modeling in Mechanobiology
سال: 2016
ISSN: 1617-7959,1617-7940
DOI: 10.1007/s10237-016-0784-3