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
Book Title
Finite-Size Effects in Stochastic Models of Population Dynamics: Applications to Biomedicine and Biology
Authors
Francesca Di Patti
Peer Reviewed
Number of Pages
126
Publication Year
2010
Copyright Information
© 2010 Author(s)
Content License
Metadata License
Publisher Name
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
Series Title
Premio Tesi di Dottorato
Series ISSN
2612-8039
Series E-ISSN
2612-8020