Cargando…

Soliton driven angiogenesis

Angiogenesis is a multiscale process by which blood vessels grow from existing ones and carry oxygen to distant organs. Angiogenesis is essential for normal organ growth and wounded tissue repair but it may also be induced by tumours to amplify their own growth. Mathematical and computational models...

Descripción completa

Detalles Bibliográficos
Autores principales: Bonilla, L. L., Carretero, M., Terragni, F., Birnir, B.
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Nature Publishing Group 2016
Materias:
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC4977512/
https://www.ncbi.nlm.nih.gov/pubmed/27503562
http://dx.doi.org/10.1038/srep31296
_version_ 1782447041797947392
author Bonilla, L. L.
Carretero, M.
Terragni, F.
Birnir, B.
author_facet Bonilla, L. L.
Carretero, M.
Terragni, F.
Birnir, B.
author_sort Bonilla, L. L.
collection PubMed
description Angiogenesis is a multiscale process by which blood vessels grow from existing ones and carry oxygen to distant organs. Angiogenesis is essential for normal organ growth and wounded tissue repair but it may also be induced by tumours to amplify their own growth. Mathematical and computational models contribute to understanding angiogenesis and developing anti-angiogenic drugs, but most work only involves numerical simulations and analysis has lagged. A recent stochastic model of tumour-induced angiogenesis including blood vessel branching, elongation, and anastomosis captures some of its intrinsic multiscale structures, yet allows one to extract a deterministic integropartial differential description of the vessel tip density. Here we find that the latter advances chemotactically towards the tumour driven by a soliton (similar to the famous Korteweg-de Vries soliton) whose shape and velocity change slowly. Analysing these collective coordinates paves the way for controlling angiogenesis through the soliton, the engine that drives this process.
format Online
Article
Text
id pubmed-4977512
institution National Center for Biotechnology Information
language English
publishDate 2016
publisher Nature Publishing Group
record_format MEDLINE/PubMed
spelling pubmed-49775122016-08-22 Soliton driven angiogenesis Bonilla, L. L. Carretero, M. Terragni, F. Birnir, B. Sci Rep Article Angiogenesis is a multiscale process by which blood vessels grow from existing ones and carry oxygen to distant organs. Angiogenesis is essential for normal organ growth and wounded tissue repair but it may also be induced by tumours to amplify their own growth. Mathematical and computational models contribute to understanding angiogenesis and developing anti-angiogenic drugs, but most work only involves numerical simulations and analysis has lagged. A recent stochastic model of tumour-induced angiogenesis including blood vessel branching, elongation, and anastomosis captures some of its intrinsic multiscale structures, yet allows one to extract a deterministic integropartial differential description of the vessel tip density. Here we find that the latter advances chemotactically towards the tumour driven by a soliton (similar to the famous Korteweg-de Vries soliton) whose shape and velocity change slowly. Analysing these collective coordinates paves the way for controlling angiogenesis through the soliton, the engine that drives this process. Nature Publishing Group 2016-08-09 /pmc/articles/PMC4977512/ /pubmed/27503562 http://dx.doi.org/10.1038/srep31296 Text en Copyright © 2016, The Author(s) http://creativecommons.org/licenses/by/4.0/ This work is licensed under a Creative Commons Attribution 4.0 International License. The images or other third party material in this article are included in the article’s Creative Commons license, unless indicated otherwise in the credit line; if the material is not included under the Creative Commons license, users will need to obtain permission from the license holder to reproduce the material. To view a copy of this license, visit http://creativecommons.org/licenses/by/4.0/
spellingShingle Article
Bonilla, L. L.
Carretero, M.
Terragni, F.
Birnir, B.
Soliton driven angiogenesis
title Soliton driven angiogenesis
title_full Soliton driven angiogenesis
title_fullStr Soliton driven angiogenesis
title_full_unstemmed Soliton driven angiogenesis
title_short Soliton driven angiogenesis
title_sort soliton driven angiogenesis
topic Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC4977512/
https://www.ncbi.nlm.nih.gov/pubmed/27503562
http://dx.doi.org/10.1038/srep31296
work_keys_str_mv AT bonillall solitondrivenangiogenesis
AT carreterom solitondrivenangiogenesis
AT terragnif solitondrivenangiogenesis
AT birnirb solitondrivenangiogenesis