A review of mathematical models for the formation of vascular networks

Handle URI:
http://hdl.handle.net/10754/597395
Title:
A review of mathematical models for the formation of vascular networks
Authors:
Scianna, M.; Bell, C.G.; Preziosi, L.
Abstract:
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.
Publisher:
Elsevier BV
Journal:
Journal of Theoretical Biology
KAUST Grant Number:
KUK-C1-013-04
Issue Date:
Sep-2013
DOI:
10.1016/j.jtbi.2013.04.037
PubMed ID:
23684907
Type:
Article
ISSN:
0022-5193
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).
Appears in Collections:
Publications Acknowledging KAUST Support

Full metadata record

DC FieldValue Language
dc.contributor.authorScianna, M.en
dc.contributor.authorBell, C.G.en
dc.contributor.authorPreziosi, L.en
dc.date.accessioned2016-02-25T12:32:19Zen
dc.date.available2016-02-25T12:32:19Zen
dc.date.issued2013-09en
dc.identifier.citationScianna 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.en
dc.identifier.issn0022-5193en
dc.identifier.pmid23684907en
dc.identifier.doi10.1016/j.jtbi.2013.04.037en
dc.identifier.urihttp://hdl.handle.net/10754/597395en
dc.description.abstractTwo 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.en
dc.description.sponsorshipThis 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).en
dc.publisherElsevier BVen
dc.subjectAngiogenesis modelingen
dc.subjectLymphangiogenesis modelingen
dc.subjectVasculogenesis modelingen
dc.titleA review of mathematical models for the formation of vascular networksen
dc.typeArticleen
dc.identifier.journalJournal of Theoretical Biologyen
dc.contributor.institutionPolitecnico di Torino, Torino, Italyen
dc.contributor.institutionUniversity of Oxford, Oxford, United Kingdomen
kaust.grant.numberKUK-C1-013-04en

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