Piecewise Deterministic Processes in Biological Models

Nonfiction, Science & Nature, Mathematics, Applied, Science, Biological Sciences
Cover of the book Piecewise Deterministic Processes in Biological Models by Ryszard Rudnicki, Marta Tyran-Kamińska, Springer International Publishing
View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart
Author: Ryszard Rudnicki, Marta Tyran-Kamińska ISBN: 9783319612959
Publisher: Springer International Publishing Publication: July 20, 2017
Imprint: Springer Language: English
Author: Ryszard Rudnicki, Marta Tyran-Kamińska
ISBN: 9783319612959
Publisher: Springer International Publishing
Publication: July 20, 2017
Imprint: Springer
Language: English

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

esses into 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.

View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart

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

esses into 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.

More books from Springer International Publishing

Cover of the book Proceedings of ELM-2015 Volume 1 by Ryszard Rudnicki, Marta Tyran-Kamińska
Cover of the book Impact of Cesium on Plants and the Environment by Ryszard Rudnicki, Marta Tyran-Kamińska
Cover of the book RoboCup 2014: Robot World Cup XVIII by Ryszard Rudnicki, Marta Tyran-Kamińska
Cover of the book The Quality of Society by Ryszard Rudnicki, Marta Tyran-Kamińska
Cover of the book Urban Mobility in Modern China by Ryszard Rudnicki, Marta Tyran-Kamińska
Cover of the book Innovation in Hospitality Education by Ryszard Rudnicki, Marta Tyran-Kamińska
Cover of the book Climate Gradients and Biodiversity in Mountains of Italy by Ryszard Rudnicki, Marta Tyran-Kamińska
Cover of the book September 11, 2001 as a Cultural Trauma by Ryszard Rudnicki, Marta Tyran-Kamińska
Cover of the book Reproductive Diversity of Plants by Ryszard Rudnicki, Marta Tyran-Kamińska
Cover of the book Morphogenesis and Individuation by Ryszard Rudnicki, Marta Tyran-Kamińska
Cover of the book Food Advertising by Ryszard Rudnicki, Marta Tyran-Kamińska
Cover of the book A World with Robots by Ryszard Rudnicki, Marta Tyran-Kamińska
Cover of the book Rationality Problems in Algebraic Geometry by Ryszard Rudnicki, Marta Tyran-Kamińska
Cover of the book Semiotics of Animals in Culture by Ryszard Rudnicki, Marta Tyran-Kamińska
Cover of the book On the Effect of Offshore Wind Farms on the Atmosphere and Ocean Dynamics by Ryszard Rudnicki, Marta Tyran-Kamińska
We use our own "cookies" and third party cookies to improve services and to see statistical information. By using this website, you agree to our Privacy Policy