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...
שמור ב:
| מחבר ראשי: | |
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| פורמט: | Online |
| שפה: | אנגלית |
| יצא לאור: |
Firenze University Press
2022
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| גישה מקוונת: | ONIX_20220531_9788884539175_187 |
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אין תגיות, היה/י הראשונ/ה לתייג את הרשומה!
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| _version_ | 1869520228772216832 |
|---|---|
| author | Di Patti, Francesca |
| author_browse | Di Patti, Francesca |
| author_facet | Di Patti, Francesca |
| author_sort | Di Patti, Francesca |
| collection | Directory of Open Access Books |
| 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. |
| format | Online |
| id | doab-20.500.12854ir-82760 |
| institution | Directory of Open Access Books |
| language | eng |
| publishDate | 2022 |
| publishDateRange | 2022 |
| publishDateSort | 2022 |
| publisher | Firenze University Press |
| publisherStr | Firenze University Press |
| record_format | ojs |
| spelling | doab-20.500.12854ir-827602025-03-15T16:58:50Z Finite-Size Effects in Stochastic Models of Population Dynamics: Applications to Biomedicine and Biology Di Patti, Francesca 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. 2022-06-02T04:16:54Z 2022-06-02T04:16:54Z 2022-05-31T10:16:20Z 2010 book ONIX_20220531_9788884539175_187 OCN: 1235832289 2612-8020 https://library.oapen.org/handle/20.500.12657/54903 9788884539175 9788884539762 9788892736900 https://directory.doabooks.org/handle/20.500.12854/82760 eng Premio Tesi di Dottorato open access image/jpeg image/jpeg image/jpeg n/a n/a n/a https://library.oapen.org/bitstream/20.500.12657/54903/1/9788884539175.pdf https://library.oapen.org/bitstream/20.500.12657/54903/1/9788884539175.pdf https://library.oapen.org/bitstream/20.500.12657/54903/1/9788884539175.pdf Firenze University Press 10.36253/978-88-8453-917-5 10.36253/978-88-8453-917-5 2ec4474d-93b1-4cfa-b313-9c6019b51b1a 9788884539175 9788884539762 9788892736900 126 Firenze open access |
| spellingShingle | Di Patti, Francesca 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 |
| 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_short | 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 |
| url | ONIX_20220531_9788884539175_187 |
| work_keys_str_mv | AT dipattifrancesca finitesizeeffectsinstochasticmodelsofpopulationdynamicsapplicationstobiomedicineandbiology |