Overview
- Discusses models of gene regulatory networks, stem cell regeneration and diffusion of morphogens
- Includes recent developments and first-hand results
- Provides a useful reference for students and researchers in system biology
Part of the book series: Lecture Notes on Mathematical Modelling in the Life Sciences (LMML)
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Table of contents (7 chapters)
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Front Matter
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Back Matter
Keywords
About this book
This book discusses the mathematical simulation of biological systems, with a focus on the modeling of gene expression, gene regulatory networks and stem cell regeneration. The diffusion of morphogens is addressed by introducing various reaction-diffusion equations based on different hypotheses concerning the process of morphogen gradient formation. The robustness of steady-state gradients is also covered through boundary value problems.
The introduction gives an overview of the relevant biological concepts (cells, DNA, organism development) and provides the requisite mathematical preliminaries on continuous dynamics and stochastic modeling. A basic understanding of calculus is assumed.
The techniques described in this book encompass a wide range of mechanisms, from molecular behavior to population dynamics, and the inclusion of recent developments in the literature together with first-hand results make it an ideal reference for both new students and experienced researchers in the field of systems biology and applied mathematics.
Authors and Affiliations
About the author
Bibliographic Information
Book Title: Systems Biology
Book Subtitle: Modeling, Analysis, and Simulation
Authors: Jinzhi Lei
Series Title: Lecture Notes on Mathematical Modelling in the Life Sciences
DOI: https://doi.org/10.1007/978-3-030-73033-8
Publisher: Springer Cham
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerland AG 2021
Softcover ISBN: 978-3-030-73032-1Published: 14 May 2021
eBook ISBN: 978-3-030-73033-8Published: 13 May 2021
Series ISSN: 2193-4789
Series E-ISSN: 2193-4797
Edition Number: 1
Number of Pages: XII, 308
Number of Illustrations: 26 b/w illustrations, 69 illustrations in colour
Topics: Analysis, Probability Theory and Stochastic Processes, Bioinformatics, Life Sciences, general, Cell Biology