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.
University of Florence, Italy - ORCID: 0000-0003-1288-0079
Titolo del libro
Finite-Size Effects in Stochastic Models of Population Dynamics: Applications to Biomedicine and Biology
Autori
Francesca Di Patti
Opera sottoposta a peer review
Numero di pagine
126
Anno di pubblicazione
2010
Copyright
© 2010 Author(s)
Licenza d'uso
Licenza dei metadati
Editore
Firenze University Press
DOI
10.36253/978-88-8453-917-5
ISBN Print
978-88-8453-976-2
eISBN (pdf)
978-88-8453-917-5
eISBN (xml)
978-88-9273-690-0
Collana
Premio Tesi di Dottorato
ISSN della collana
2612-8039
e-ISSN della collana
2612-8020