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

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Tác giả: Francesca Di Patti

Ngôn ngữ: eng

ISBN-13: 978-8884539175

ISBN-13: 978-8884539762

ISBN-13: 978-8892736900

Ký hiệu phân loại: 570 Life sciences Biology

Thông tin xuất bản: Firenze : Firenze University Press, 2010

Mô tả vật lý: 1 electronic resource (126 p.)

Bộ sưu tập: Tài liệu truy cập mở

ID: 241299

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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