40% off Popular Science books & eBooks—Save on general interest titles now!

SpringerBriefs in Control, Automation and Robotics

Analysis of Deterministic Cyclic Gene Regulatory Network Models with Delays

Authors: Ahsen, Mehmet Eren, Özbay, Hitay, Niculescu, Silviu-Iulian

Free Preview
  • Includes a concise introduction to the necessary molecular biology for mathematicians
  • Focuses on a deterministic, ODE-based model of GRNs, rather than the more difficult-to-analyze models based on Boolean and Bayesian networks
  • Contains exercises to allow use with graduate-level courses
see more benefits

Buy this book

eBook 46,00 €
price for Spain (gross)
  • ISBN 978-3-319-15606-4
  • Digitally watermarked, DRM-free
  • Included format: EPUB, PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Softcover 57,19 €
price for Spain (gross)
  • ISBN 978-3-319-15605-7
  • 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
  • The final prices may differ from the prices shown due to specifics of VAT rules
About this book

This brief examines a deterministic, ODE-based model for gene regulatory networks (GRN) that incorporates nonlinearities and time-delayed feedback. An introductory chapter provides some insights into molecular biology and GRNs. The mathematical tools necessary for studying the GRN model are then reviewed, in particular Hill functions and Schwarzian derivatives. One chapter is devoted to the analysis of GRNs under negative feedback with time delays and a special case of a homogenous GRN is considered. Asymptotic stability analysis of GRNs under positive feedback is then considered in a separate chapter, in which conditions leading to bi-stability are derived. Graduate and advanced undergraduate students and researchers in control engineering, applied mathematics, systems biology and synthetic biology will find this brief to be a clear and concise introduction to the modeling and analysis of GRNs.

Table of contents (7 chapters)

Table of contents (7 chapters)

Buy this book

eBook 46,00 €
price for Spain (gross)
  • ISBN 978-3-319-15606-4
  • Digitally watermarked, DRM-free
  • Included format: EPUB, PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Softcover 57,19 €
price for Spain (gross)
  • ISBN 978-3-319-15605-7
  • 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
  • The final prices may differ from the prices shown due to specifics of VAT rules
Loading...

Recommended for you

Loading...

Bibliographic Information

Bibliographic Information
Book Title
Analysis of Deterministic Cyclic Gene Regulatory Network Models with Delays
Authors
Series Title
SpringerBriefs in Control, Automation and Robotics
Copyright
2015
Publisher
Birkhäuser Basel
Copyright Holder
The Author(s)
eBook ISBN
978-3-319-15606-4
DOI
10.1007/978-3-319-15606-4
Softcover ISBN
978-3-319-15605-7
Series ISSN
2192-6786
Edition Number
1
Number of Pages
XIII, 94
Number of Illustrations
15 illustrations in colour
Topics