Simple Mathematical Models of Gene Regulatory Dynamics

Simple Mathematical Models of Gene Regulatory Dynamics

This is a short and self-contained introduction to the field of mathematical modeling of gene-networks in bacteria. As an entry point to the field, we focus on the analysis of simple gene-network dynamics. The notes commence with an introduction to the deterministic modeling of gene-networks, with e...

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Bibliographic Details
Main Authors: Mackey, Michael C. (Author), Santillán, Moisés (Author), Tyran-Kamińska, Marta (Author), Zeron, Eduardo S. (Author)
Corporate Author: SpringerLink (Online service)
Format: Electronic eBook
Language:English
Published: Cham : Springer International Publishing : Imprint: Springer, 2016.
Series:Lecture Notes on Mathematical Modelling in the Life Sciences,
Subjects:
Medicine.
Gene expression.
Systems biology.
Differential equations.
Applied mathematics.
Engineering mathematics.
Probabilities.
Biomathematics.
Biomedicine.
Gene Expression.
Mathematical and Computational Biology.
Systems Biology.
Applications of Mathematics.
Ordinary Differential Equations.
Probability Theory and Stochastic Processes.
Online Access:Full Text via HEAL-Link
Table of Contents:
  • Introduction
  • Part I Deterministic Modeling Techniques
  • 1.Generic deterministic models of prokaryotic gene regulation
  • 2.General dynamic considerations
  • Part II Dealing with Noise
  • 3.Master equation modeling approaches
  • 4.Noise effects in gene regulation: Intrinsic versus extrinsic
  • Part III Specific Examples
  • 5.The lactose operon
  • 6.The tryptophan operon
  • 7.The Lysis-Lysogeny Switch
  • Index
  • References.

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