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| E-Books | Biblioteca da FCTUNL | Não Ficção | QH323.5.SPR FCT 97975 (Browse shelf) | 1 | Available |
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| QH323.5.SPR FCT 97777 Multiscale models in mechano and tumor biology | QH323.5.SPR FCT 97943 Topics in mathematical biology | QH323.5.SPR FCT 97965 The basic approach to age-structured population dynamics | QH323.5.SPR FCT 97975 Information geometry and population genetics | QH323.5.SPR FCT 98153 Mathematical grammar of biology | QH323.5.SPR FCT 98295 Computational diffusion MRI | QH323.5.SPR FCT 98567 Mathematical modelling of biosystems |
Colocação: Online
The present monograph develops a versatile and profound mathematical perspective of the Wright--Fisher model of population genetics. This well-known and intensively studied model carries a rich and beautiful mathematical structure, which is uncovered here in a systematic manner. In addition to approaches by means of analysis, combinatorics and PDE, a geometric perspective is brought in through Amari's and Chentsov's information geometry. This concept allows us to calculate many quantities of interest systematically; likewise, the employed global perspective elucidates the stratification of the model in an unprecedented manner. Furthermore, the links to statistical mechanics and large deviation theory are explored and developed into powerful tools. Altogether, the manuscript provides a solid and broad working basis for graduate students and researchers interested in this field.
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