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Biomolecular Feedback Systems$
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Domitilla Del Vecchio and Richard M. Murray

Print publication date: 2014

Print ISBN-13: 9780691161532

Published to Princeton Scholarship Online: October 2017

DOI: 10.23943/princeton/9780691161532.001.0001

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Stochastic Modeling and Analysis

Stochastic Modeling and Analysis

Chapter:
(p.139) Chapter 4 Stochastic Modeling and Analysis
Source:
Biomolecular Feedback Systems
Author(s):

Richard M. Murray

Publisher:
Princeton University Press
DOI:10.23943/princeton/9780691161532.003.0004

This chapter explores stochastic behavior in biomolecular systems. It does so by first building on the preliminary discussion of stochastic modeling laid out in Chapter 2. The chapter reviews methods for modeling stochastic processes, including the chemical master equation (CME), the chemical Langevin equation (CLE), and the Fokker–Planck equation (FPE). Given a stochastic description, the chapter then analyzes the behavior of the system using a collection of stochastic simulation and analysis tools. This chapter makes use of a variety of topics in stochastic processes; readers should have a good working knowledge of basic probability and some exposure to simple stochastic processes.

Keywords:   stochastic behavior, stochastic modeling, chemical master equation, CME, chemical Langevin equation, CLE, Fokker–Planck equation, FPE, stochastic processes, basic probability

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