Modeling Sprouting Angiogenesis by Drift Forces with the Usage of Fokker-Planck Equation

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One of the first phases of cancer is known as angiogenesis by the which are created new blood vessels from the pre-existing one. In this paper, the well-known equation of Fokker-Planck is used to describe the time evolution of the new vessels since their creation until the time that them acquire cer...

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Detalles Bibliográficos
Autor: Nieto-Chaupis, Huber
Formato: artículo
Fecha de Publicación:2021
Institución:Universidad Autónoma del Perú
Repositorio:AUTONOMA-Institucional
Lenguaje:inglés
OAI Identifier:oai:repositorio.autonoma.edu.pe:20.500.13067/1758
Enlace del recurso:https://hdl.handle.net/20.500.13067/1758
https://doi.org/10.1109/BIBE52308.2021.9635409
Nivel de acceso:acceso restringido
Materia:Geometry
Electrodynamics
Computational modeling
Conferences
Stochastic processes
Homeostasis
Ions
https://purl.org/pe-repo/ocde/ford#2.02.04
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spelling Nieto-Chaupis, Huber2022-03-10T21:02:27Z2022-03-10T21:02:27Z2021-12-15Nieto-Chaupis, H. (2021, October). Modeling Sprouting Angiogenesis by Drift Forces with the Usage of Fokker-Planck Equation. In 2021 IEEE 21st International Conference on Bioinformatics and Bioengineering (BIBE) (pp. 1-5). IEEE.978-1-6654-4261-92471-7819https://hdl.handle.net/20.500.13067/17582021 IEEE 21st International Conference on Bioinformatics and Bioengineering (BIBE)https://doi.org/10.1109/BIBE52308.2021.9635409One of the first phases of cancer is known as angiogenesis by the which are created new blood vessels from the pre-existing one. In this paper, the well-known equation of Fokker-Planck is used to describe the time evolution of the new vessels since their creation until the time that them acquire certain stability. In particular, emphasis is done to the term of drift that encompasses the stochastic character of angiogenesis. Once the theory is proposed, computational simulations are carried out. For this, the Gaussian approach with a time-dependent width is employed. This yields a oscillating scenario of ions due to the repulsion and attraction forces at the events of permeability.application/pdfengInstitute of Electrical and Electronics EngineersPEinfo:eu-repo/semantics/restrictedAccesshttps://creativecommons.org/licenses/by-nc-nd/4.0/AUTONOMA15reponame:AUTONOMA-Institucionalinstname:Universidad Autónoma del Perúinstacron:AUTONOMAGeometryElectrodynamicsComputational modelingConferencesStochastic processesHomeostasisIonshttps://purl.org/pe-repo/ocde/ford#2.02.04Modeling Sprouting Angiogenesis by Drift Forces with the Usage of Fokker-Planck Equationinfo:eu-repo/semantics/articlehttps://www.scopus.com/inward/record.uri?eid=2-s2.0-85123688659&doi=10.1109%2fBIBE52308.2021.9635409&partnerID=40TEXTModeling Sprouting Angiogenesis by Drift Forces with the Usage of Fokker-Planck Equation.pdf.txtModeling Sprouting Angiogenesis by Drift Forces with the Usage of Fokker-Planck Equation.pdf.txtExtracted texttext/plain578http://repositorio.autonoma.edu.pe/bitstream/20.500.13067/1758/4/Modeling%20Sprouting%20Angiogenesis%20by%20Drift%20Forces%20with%20the%20Usage%20of%20Fokker-Planck%20Equation.pdf.txtf22d4def5b02466264a3c5ffc05008a5MD54THUMBNAILModeling Sprouting Angiogenesis by Drift Forces with the Usage of Fokker-Planck Equation.pdf.jpgModeling Sprouting Angiogenesis by Drift Forces with the Usage of Fokker-Planck Equation.pdf.jpgGenerated Thumbnailimage/jpeg5747http://repositorio.autonoma.edu.pe/bitstream/20.500.13067/1758/5/Modeling%20Sprouting%20Angiogenesis%20by%20Drift%20Forces%20with%20the%20Usage%20of%20Fokker-Planck%20Equation.pdf.jpg9cf4cd9fa7243af8d361459c4d311c65MD55LICENSElicense.txtlicense.txttext/plain; charset=utf-885http://repositorio.autonoma.edu.pe/bitstream/20.500.13067/1758/2/license.txt9243398ff393db1861c890baeaeee5f9MD52ORIGINALModeling Sprouting Angiogenesis by Drift Forces with the Usage of Fokker-Planck Equation.pdfModeling Sprouting Angiogenesis by Drift Forces with the Usage of Fokker-Planck Equation.pdfVer fuenteapplication/pdf98769http://repositorio.autonoma.edu.pe/bitstream/20.500.13067/1758/3/Modeling%20Sprouting%20Angiogenesis%20by%20Drift%20Forces%20with%20the%20Usage%20of%20Fokker-Planck%20Equation.pdfc6ddd7651ad20daef67de6c0ae4b6d0bMD5320.500.13067/1758oai:repositorio.autonoma.edu.pe:20.500.13067/17582022-03-11 03:00:22.34Repositorio de la Universidad Autonoma del Perúrepositorio@autonoma.pe
dc.title.es_PE.fl_str_mv Modeling Sprouting Angiogenesis by Drift Forces with the Usage of Fokker-Planck Equation
title Modeling Sprouting Angiogenesis by Drift Forces with the Usage of Fokker-Planck Equation
spellingShingle Modeling Sprouting Angiogenesis by Drift Forces with the Usage of Fokker-Planck Equation
Nieto-Chaupis, Huber
Geometry
Electrodynamics
Computational modeling
Conferences
Stochastic processes
Homeostasis
Ions
https://purl.org/pe-repo/ocde/ford#2.02.04
title_short Modeling Sprouting Angiogenesis by Drift Forces with the Usage of Fokker-Planck Equation
title_full Modeling Sprouting Angiogenesis by Drift Forces with the Usage of Fokker-Planck Equation
title_fullStr Modeling Sprouting Angiogenesis by Drift Forces with the Usage of Fokker-Planck Equation
title_full_unstemmed Modeling Sprouting Angiogenesis by Drift Forces with the Usage of Fokker-Planck Equation
title_sort Modeling Sprouting Angiogenesis by Drift Forces with the Usage of Fokker-Planck Equation
author Nieto-Chaupis, Huber
author_facet Nieto-Chaupis, Huber
author_role author
dc.contributor.author.fl_str_mv Nieto-Chaupis, Huber
dc.subject.es_PE.fl_str_mv Geometry
Electrodynamics
Computational modeling
Conferences
Stochastic processes
Homeostasis
Ions
topic Geometry
Electrodynamics
Computational modeling
Conferences
Stochastic processes
Homeostasis
Ions
https://purl.org/pe-repo/ocde/ford#2.02.04
dc.subject.ocde.es_PE.fl_str_mv https://purl.org/pe-repo/ocde/ford#2.02.04
description One of the first phases of cancer is known as angiogenesis by the which are created new blood vessels from the pre-existing one. In this paper, the well-known equation of Fokker-Planck is used to describe the time evolution of the new vessels since their creation until the time that them acquire certain stability. In particular, emphasis is done to the term of drift that encompasses the stochastic character of angiogenesis. Once the theory is proposed, computational simulations are carried out. For this, the Gaussian approach with a time-dependent width is employed. This yields a oscillating scenario of ions due to the repulsion and attraction forces at the events of permeability.
publishDate 2021
dc.date.accessioned.none.fl_str_mv 2022-03-10T21:02:27Z
dc.date.available.none.fl_str_mv 2022-03-10T21:02:27Z
dc.date.issued.fl_str_mv 2021-12-15
dc.type.es_PE.fl_str_mv info:eu-repo/semantics/article
format article
dc.identifier.citation.es_PE.fl_str_mv Nieto-Chaupis, H. (2021, October). Modeling Sprouting Angiogenesis by Drift Forces with the Usage of Fokker-Planck Equation. In 2021 IEEE 21st International Conference on Bioinformatics and Bioengineering (BIBE) (pp. 1-5). IEEE.
dc.identifier.isbn.none.fl_str_mv 978-1-6654-4261-9
dc.identifier.issn.none.fl_str_mv 2471-7819
dc.identifier.uri.none.fl_str_mv https://hdl.handle.net/20.500.13067/1758
dc.identifier.journal.es_PE.fl_str_mv 2021 IEEE 21st International Conference on Bioinformatics and Bioengineering (BIBE)
dc.identifier.doi.none.fl_str_mv https://doi.org/10.1109/BIBE52308.2021.9635409
identifier_str_mv Nieto-Chaupis, H. (2021, October). Modeling Sprouting Angiogenesis by Drift Forces with the Usage of Fokker-Planck Equation. In 2021 IEEE 21st International Conference on Bioinformatics and Bioengineering (BIBE) (pp. 1-5). IEEE.
978-1-6654-4261-9
2471-7819
2021 IEEE 21st International Conference on Bioinformatics and Bioengineering (BIBE)
url https://hdl.handle.net/20.500.13067/1758
https://doi.org/10.1109/BIBE52308.2021.9635409
dc.language.iso.es_PE.fl_str_mv eng
language eng
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rights_invalid_str_mv https://creativecommons.org/licenses/by-nc-nd/4.0/
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dc.publisher.es_PE.fl_str_mv Institute of Electrical and Electronics Engineers
dc.publisher.country.es_PE.fl_str_mv PE
dc.source.es_PE.fl_str_mv AUTONOMA
dc.source.none.fl_str_mv reponame:AUTONOMA-Institucional
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Modeling Sprouting Angiogenesis by Drift Forces with the Usage of Fokker-Planck Equation
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