Finite-Size Effects in Stochastic Models of Population Dynamics: Applications to Biomedicine and Biology
Population dynamics constitutes a widespread branch of investigations which finds important applications within the realm of life science. The classical deterministic (macroscopic) approach aims at characterizing the time evolution of families of homologous entities, so to unravel the global mechani...
- Autores:
- Tipo de recurso:
- Book
- Fecha de publicación:
- 2010
- Institución:
- Universidad de Bogotá Jorge Tadeo Lozano
- Repositorio:
- Expeditio: repositorio UTadeo
- Idioma:
- eng
- OAI Identifier:
- oai:expeditiorepositorio.utadeo.edu.co:20.500.12010/16845
- Acceso en línea:
- https://media.fupress.com/files/pdf/24/2078/4494
http://hdl.handle.net/20.500.12010/16845
- Palabra clave:
- Ingeniería industrial
Modelos estocásticos
Biomedicina -- Biología
Sistema de van Kampen
- Rights
- License
- Abierto (Texto Completo)
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| dc.title.spa.fl_str_mv |
Finite-Size Effects in Stochastic Models of Population Dynamics: Applications to Biomedicine and Biology |
| title |
Finite-Size Effects in Stochastic Models of Population Dynamics: Applications to Biomedicine and Biology |
| spellingShingle |
Finite-Size Effects in Stochastic Models of Population Dynamics: Applications to Biomedicine and Biology Ingeniería industrial Modelos estocásticos Biomedicina -- Biología Sistema de van Kampen |
| title_short |
Finite-Size Effects in Stochastic Models of Population Dynamics: Applications to Biomedicine and Biology |
| title_full |
Finite-Size Effects in Stochastic Models of Population Dynamics: Applications to Biomedicine and Biology |
| title_fullStr |
Finite-Size Effects in Stochastic Models of Population Dynamics: Applications to Biomedicine and Biology |
| title_full_unstemmed |
Finite-Size Effects in Stochastic Models of Population Dynamics: Applications to Biomedicine and Biology |
| title_sort |
Finite-Size Effects in Stochastic Models of Population Dynamics: Applications to Biomedicine and Biology |
| dc.subject.spa.fl_str_mv |
Ingeniería industrial |
| topic |
Ingeniería industrial Modelos estocásticos Biomedicina -- Biología Sistema de van Kampen |
| dc.subject.lemb.spa.fl_str_mv |
Modelos estocásticos Biomedicina -- Biología Sistema de van Kampen |
| description |
Population dynamics constitutes a widespread branch of investigations which finds important applications within the realm of life science. The classical deterministic (macroscopic) approach aims at characterizing the time evolution of families of homologous entities, so to unravel the global mechanisms which drive their dynamics. As opposed to this formulation, a microscopic level of modeling can be invoked which instead focuses on the explicit rules governing the interactions among individuals. A viable tool that enables to bridge the gap between the two approaches is the van Kampen's system size expansion. In this thesis we use this method to show how the finite-size effects accounted by the microscopic level might significantly alter the dynamics of biological phenomena. |
| publishDate |
2010 |
| dc.date.created.none.fl_str_mv |
2010-11-10 |
| dc.date.accessioned.none.fl_str_mv |
2021-01-21T18:08:49Z |
| dc.date.available.none.fl_str_mv |
2021-01-21T18:08:49Z |
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http://purl.org/coar/resource_type/c_2f33 |
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http://purl.org/coar/resource_type/c_2f33 |
| dc.identifier.isbn.none.fl_str_mv |
978-8-884-53917-5 |
| dc.identifier.issn.none.fl_str_mv |
2612-8020 |
| dc.identifier.other.none.fl_str_mv |
https://media.fupress.com/files/pdf/24/2078/4494 |
| dc.identifier.uri.none.fl_str_mv |
http://hdl.handle.net/20.500.12010/16845 |
| dc.identifier.doi.none.fl_str_mv |
10.36253/978-88-8453-917-5 |
| identifier_str_mv |
978-8-884-53917-5 2612-8020 10.36253/978-88-8453-917-5 |
| url |
https://media.fupress.com/files/pdf/24/2078/4494 http://hdl.handle.net/20.500.12010/16845 |
| dc.language.iso.spa.fl_str_mv |
eng |
| language |
eng |
| dc.rights.coar.fl_str_mv |
http://purl.org/coar/access_right/c_abf2 |
| dc.rights.local.spa.fl_str_mv |
Abierto (Texto Completo) |
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https://creativecommons.org/licenses/by-nd/4.0/legalcode |
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Abierto (Texto Completo) https://creativecommons.org/licenses/by-nd/4.0/legalcode http://purl.org/coar/access_right/c_abf2 |
| dc.format.extent.spa.fl_str_mv |
126 páginas |
| dc.format.mimetype.spa.fl_str_mv |
application/pdf |
| dc.publisher.spa.fl_str_mv |
Firenze University Press |
| institution |
Universidad de Bogotá Jorge Tadeo Lozano |
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https://expeditiorepositorio.utadeo.edu.co/bitstream/20.500.12010/16845/1/Finite_Size%20Effects%20in%20Stochastic%20Models%20of%20Population%20Dynamics_Applications%20to%20Biomedicine%20and%20Biology_96.pdf https://expeditiorepositorio.utadeo.edu.co/bitstream/20.500.12010/16845/3/Finite_Size%20Effects%20in%20Stochastic%20Models%20of%20Population%20Dynamics_Applications%20to%20Biomedicine%20and%20Biology_96.pdf.jpg https://expeditiorepositorio.utadeo.edu.co/bitstream/20.500.12010/16845/2/license.txt |
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2021-01-21T18:08:49Z2021-01-21T18:08:49Z2010-11-10978-8-884-53917-52612-8020https://media.fupress.com/files/pdf/24/2078/4494http://hdl.handle.net/20.500.12010/1684510.36253/978-88-8453-917-5126 páginasapplication/pdfengFirenze University PressIngeniería industrialModelos estocásticosBiomedicina -- BiologíaSistema de van KampenFinite-Size Effects in Stochastic Models of Population Dynamics: Applications to Biomedicine and BiologyAbierto (Texto Completo)https://creativecommons.org/licenses/by-nd/4.0/legalcodehttp://purl.org/coar/access_right/c_abf2Population dynamics constitutes a widespread branch of investigations which finds important applications within the realm of life science. The classical deterministic (macroscopic) approach aims at characterizing the time evolution of families of homologous entities, so to unravel the global mechanisms which drive their dynamics. As opposed to this formulation, a microscopic level of modeling can be invoked which instead focuses on the explicit rules governing the interactions among individuals. A viable tool that enables to bridge the gap between the two approaches is the van Kampen's system size expansion. In this thesis we use this method to show how the finite-size effects accounted by the microscopic level might significantly alter the dynamics of biological phenomena.http://purl.org/coar/resource_type/c_2f33Di Patti, FrancescaORIGINALFinite_Size Effects in Stochastic Models of Population Dynamics_Applications to Biomedicine and Biology_96.pdfFinite_Size Effects in Stochastic Models of Population Dynamics_Applications to Biomedicine and Biology_96.pdfVer documentoapplication/pdf4427469https://expeditiorepositorio.utadeo.edu.co/bitstream/20.500.12010/16845/1/Finite_Size%20Effects%20in%20Stochastic%20Models%20of%20Population%20Dynamics_Applications%20to%20Biomedicine%20and%20Biology_96.pdf360d87395ce654b47235e707847c9a98MD51open accessTHUMBNAILFinite_Size Effects in Stochastic Models of Population Dynamics_Applications to Biomedicine and Biology_96.pdf.jpgFinite_Size Effects in Stochastic Models of Population Dynamics_Applications to Biomedicine and Biology_96.pdf.jpgIM Thumbnailimage/jpeg3187https://expeditiorepositorio.utadeo.edu.co/bitstream/20.500.12010/16845/3/Finite_Size%20Effects%20in%20Stochastic%20Models%20of%20Population%20Dynamics_Applications%20to%20Biomedicine%20and%20Biology_96.pdf.jpg6b47039e4725b169e39d191486941e7fMD53open accessLICENSElicense.txtlicense.txttext/plain; charset=utf-82938https://expeditiorepositorio.utadeo.edu.co/bitstream/20.500.12010/16845/2/license.txtabceeb1c943c50d3343516f9dbfc110fMD52open access20.500.12010/16845oai:expeditiorepositorio.utadeo.edu.co:20.500.12010/168452021-01-31 18:35:59.352open accessRepositorio Institucional - Universidad Jorge Tadeo Lozanoexpeditio@utadeo.edu.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 |