Piecewise Deterministic Processes in Biological Models

• Main Authors: Rudnicki, Ryszard (Author), Tyran-Kamińska, Marta (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Cham : Springer International Publishing : Imprint: Springer, 2017.
• Series: SpringerBriefs in Applied Sciences and Technology,
• Subjects: Mathematics.; Systems biology.; System theory.; Probabilities.; Biomathematics.; Biomedical engineering.; Genetics and Population Dynamics.; Systems Biology.; Complex Systems.; Probability Theory and Stochastic Processes.; Biomedical Engineering.; Statistical Physics and Dynamical Systems.

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 appea...

Table of Contents:

• 1 Biological Models
• 2 Markov Processes
• 3 Operator Semigroups
• 4 Stochastic Semigroups
• 5 Asymptotic Properties of Stochastic Semigroups — General Results
• 6 Asymptotic Properties of Stochastic Semigroups — Applications.