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An Operator Semigroup in Mathematical Genetics / by Adam Bobrowski, Marek Kimmel.
Springer Nature - Springer Mathematics and Statistics eBooks 2015 English International Available online
View online- Format:
- Book
- Author/Creator:
- Bobrowski, Adam, Author.
- Kimmel, Marek., Author.
- Series:
- SpringerBriefs in Mathematical Methods, 2365-0826
- Language:
- English
- Subjects (All):
- Biomathematics.
- Operator theory.
- Biomedical engineering.
- Probabilities.
- Animal genetics.
- Genetics and Population Dynamics.
- Operator Theory.
- Biomedical Engineering and Bioengineering.
- Probability Theory and Stochastic Processes.
- Animal Genetics and Genomics.
- Local Subjects:
- Genetics and Population Dynamics.
- Operator Theory.
- Biomedical Engineering and Bioengineering.
- Probability Theory and Stochastic Processes.
- Animal Genetics and Genomics.
- Physical Description:
- 1 online resource (92 p.)
- Edition:
- 1st ed. 2015.
- Place of Publication:
- Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2015.
- Language Note:
- English
- Summary:
- 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 operator semi group theory. Mutation and drift are two of the main genetic forces, which act on genes of individuals in populations. Their effects are influenced by population dynamics. This book covers the application to two mutation models: single step mutation for microsatellite loci and single-base substitutions. The effects of demographic change to the asymptotic of the distribution are also covered. The target audience primarily covers researchers and experts in the field but the book may also be beneficial for graduate students.
- Contents:
- 1 Introduction
- 2 Genetic background
- 3 Motivating example
- 4 Mathematical tools
- 5 Master Equation
- 6 Epilogue.
- Notes:
- Description based upon print version of record.
- Includes bibliographical references at the end of each chapters and index.
- ISBN:
- 3-642-35958-2
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