Finite-Size Effects in Stochastic Models of Population Dynamics: Applications to Biomedicine and Biology

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Di Patti, F.; 2010; Finite-Size Effects in Stochastic Models of Population Dynamics: Applications to Biomedicine and Biology. Firenze, Firenze University Press.


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Finite-Size Effects in Stochastic Models of Population Dynamics: Applications to Biomedicine and Biology

Francesca Di Patti
University of Florence, Italy - ORCID: 0000-0003-1288-0079

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DOI: 10.36253/978-88-8453-917-5 Series: Premio Tesi di Dottorato ISSN 2612-8039 (print) - ISSN 2612-8020 (online)

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© 2010 Author(s)
Published by Firenze University Press

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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.

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Publication year: 2010

Price: 10,90 €

Pages: 126

ISSN print: 2612-8039

ISBN: 978-88-8453-976-2

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Publication year: 2010

Pages: 126

ISSN online: 2612-8020

e-ISBN: 978-88-8453-917-5

DOI: 10.36253/978-88-8453-917-5

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© 2010 Author(s)
Content licence CC BY-ND 3.0 IT
Metadata licence CC0 1.0

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Publication year: 2010

ISSN online: 2612-8020

e-ISBN: 978-88-9273-690-0

DOI: 10.36253/978-88-8453-917-5

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© 2010 Author(s)
Content licence CC BY-ND 3.0 IT
Metadata licence CC0 1.0

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