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Lecture Notes on Mathematical Modelling in the Life Sciences

Systems Biology

Modeling, Analysis, and Simulation

Authors: Lei, Jinzhi

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  • 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 
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eBook $84.99
price for USA in USD
  • ISBN 978-3-030-73033-8
  • Digitally watermarked, DRM-free
  • Included format: PDF, EPUB
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Softcover $109.99
price for USA in USD
  • ISBN 978-3-030-73032-1
  • Free shipping for individuals worldwide
  • Institutional customers should get in touch with their account manager
  • Covid-19 shipping restrictions
  • Usually ready to be dispatched within 3 to 5 business days, if in stock
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.

About the authors

Jinzhi Lei (Ph.D. 2001, Beihang University) is Professor at the School of Mathematical Sciences, Tiangong University, China. He was a postdoc at UC, Irvine (2004–2005) and Associate Researcher at the Zhou Pei-Yuan Center for Applied Mathematics, Tsinghua University, China (2006–2019). His research focuses on modeling dynamical blood diseases, cancer development and stem cell regeneration.

Table of contents (7 chapters)

Table of contents (7 chapters)

Buy this book

eBook $84.99
price for USA in USD
  • ISBN 978-3-030-73033-8
  • Digitally watermarked, DRM-free
  • Included format: PDF, EPUB
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Softcover $109.99
price for USA in USD
  • ISBN 978-3-030-73032-1
  • Free shipping for individuals worldwide
  • Institutional customers should get in touch with their account manager
  • Covid-19 shipping restrictions
  • Usually ready to be dispatched within 3 to 5 business days, if in stock
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Bibliographic Information

Bibliographic Information
Book Title
Systems Biology
Book Subtitle
Modeling, Analysis, and Simulation
Authors
Series Title
Lecture Notes on Mathematical Modelling in the Life Sciences
Copyright
2021
Publisher
Springer International Publishing
Copyright Holder
The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerland AG
eBook ISBN
978-3-030-73033-8
DOI
10.1007/978-3-030-73033-8
Softcover ISBN
978-3-030-73032-1
Series ISSN
2193-4789
Edition Number
1
Number of Pages
XII, 308
Number of Illustrations
26 b/w illustrations, 69 illustrations in colour
Topics