| 书目名称 | Piecewise Deterministic Processes in Biological Models | | 编辑 | Ryszard Rudnicki,Marta Tyran-Kamińska | | 视频video | | | 概述 | Includes supplementary material: | | 丛书名称 | SpringerBriefs in Applied Sciences and Technology | | 图书封面 |  | | 描述 | .This book presents a concise introduction to piecewise deterministic Markov processes (PDMPs), with particular emphasis on their applications to biological models. Further, it presents examples of biological phenomena, such as gene activity and population growth, where different types of PDMPs appear: continuous time Markov chains, deterministic processes with jumps, processes with switching dynamics, and point processes. Subsequent chapters present the necessary tools from the theory of stochastic processes and semigroups of linear operators, as well as theoretical results concerning the long-time behaviour of stochastic semigroups induced by PDMPs and their applications to biological models. . As such, the book offers a valuable resource for mathematicians and biologists alike. The first group will find new biological models that lead to interesting and often new mathematical questions, while the second can observe how to include seemingly disparate biological proc.essesinto a unified mathematical theory, and to arrive at revealing biological conclusions. The target audience primarily comprises of researchers in these two fields, but the book will also benefit graduate students | | 出版日期 | Book 2017 | | 关键词 | Deterministic Processes with Jumps; Kolmogorov Equations; Piecewise Deterministic Markov Processes; Sto | | 版次 | 1 | | doi | https://doi.org/10.1007/978-3-319-61295-9 | | isbn_softcover | 978-3-319-61293-5 | | isbn_ebook | 978-3-319-61295-9Series ISSN 2191-530X Series E-ISSN 2191-5318 | | issn_series | 2191-530X | | copyright | The Author(s) 2017 |
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发表于 2025-3-21 17:28:25
