A review of mathematical models for the formation of vascular networks
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ArticleKAUST Grant Number
KUK-C1-013-04Date
2013-09Permanent link to this record
http://hdl.handle.net/10754/597395
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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 either a dispersed or a monolayered population of endothelial cells, reproducible also in vitro by specific experimental assays. The latter term describes the sprouting of new vessels from an existing capillary or post-capillary venule. Similar mechanisms are also involved in the formation of the lymphatic system through a process generally called lymphangiogenesis. A number of mathematical approaches have been used to analyze these phenomena. In this paper, we review the different types of models, with special emphasis on their ability to reproduce different biological systems and to predict measurable quantities which describe the overall processes. Finally, we highlight the advantages specific to each of the different modelling approaches. © 2013 Elsevier Ltd.Citation
Scianna M, Bell CG, Preziosi L (2013) A review of mathematical models for the formation of vascular networks. Journal of Theoretical Biology 333: 174–209. Available: http://dx.doi.org/10.1016/j.jtbi.2013.04.037.Sponsors
This publication was based on work supported in part by Award No KUK-C1-013-04, made by King Abdullah University of Science and Technology (KAUST).Publisher
Elsevier BVJournal
Journal of Theoretical BiologyPubMed ID
23684907ae974a485f413a2113503eed53cd6c53
10.1016/j.jtbi.2013.04.037
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