An Operator Semigroup in Mathematical Genetics

• Main Authors: Bobrowski, Adam (Author), Kimmel, Marek (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2015.
• Series: SpringerBriefs in Applied Sciences and Technology,
• Subjects: Mathematics.; Animal genetics.; Operator theory.; Probabilities.; Biomathematics.; Biomedical engineering.; Genetics and Population Dynamics.; Operator Theory.; Biomedical Engineering.; Probability Theory and Stochastic Processes.; Animal Genetics and Genomics.

This authored monograph presents a mathematical description of the time evolution of neutral genomic regions in terms of the differential Lyapunov equation. The qualitative behavior of its solutions, with respect to different mutation models and demographic patterns, can be characterized using opera...

Table of Contents:

• 1 Introduction
• 2 Genetic background
• 3 Motivating example
• 4 Mathematical tools
• 5 Master Equation
• 6 Epilogue.