Stochastic Analysis of Biochemical Systems

Abstract

This book, as with others in the series, is intended to provide supplementary material for courses in probability or stochastic processes. The mathematical focus is on counting processes and continuous-time Markov chains, and the selection of material is motivated by the examples and applications drawn from chemical networks in systems biology. While the material is presented in a manner most suitable for students who have studied stochastic processes up to and including martingales in continuous time, much of the necessary background material is summarized in the Appendix. Our hope is that a student with a solid understanding of calculus, differential equations, and elementary probability, and who is well-motivated by the applications, will be able to follow the main material with occasional reference to the Appendix.

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Document Details

Document Type
Technical Report
Publication Date
Mar 05, 2015
Accession Number
AD1008595

Entities

People

  • David F. Anderson
  • Thomas G. Kurtz

Organizations

  • University of Wisconsin–Madison

Tags

DTIC Thesaurus Topics

  • Algorithms
  • Chemical Kinetics
  • Chemical Reactions
  • Computational Complexity
  • Computational Science
  • Differential Equations
  • Enzyme Kinetics
  • Equations
  • Estimators
  • Kinetics
  • Markov Chains
  • Markov Processes
  • Mrna
  • Operations Research
  • Probability
  • Random Variables
  • Stochastic Processes

Fields of Study

  • Mathematics

Readers

  • Mathematical Modeling and Probability Theory.
  • Research Science/Academic Research
  • Systems Analysis and Design