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A stochastic model for chemical kinetics

A stochastic model for chemical kinetics Acta Biotheoretica XXlII (i): I8-34 (1974) by SUSAN MILTON AND CHRIS P. TSOKOS Radford College and University of South Florida (received I5-XI-I973) I. INTRODUCTION In many instances in the physical and biological sciences mathematical models are used in an attempt to describe or explain tile complex pro- cesses under consideration. These models are usually deterministic in nature but are generally arrived at by experimental techniques. They frequently involve functions which are assumed to be of a fixed but unknown nature and which must be approximated and constants which have a specific physical meaning but whose values must be obtained using laboratory techniques. The usual method for approximating an unknown function x(t) is to obtain experimentally at various times h several values for x(h) and then use as the "true" value of x(h) some estimate based on these observations, usually the mean. By taking points h sufficiently close together an approximating curve for x(t) is constructed and is used as the "true" form of x(t) in subsequent calculations. A similar technique is used to obtain the value to be used for any unknown constant K which appears in the model. If this procedure were repeated many times, even under the http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Acta Biotheoretica Springer Journals

A stochastic model for chemical kinetics

Acta Biotheoretica , Volume 23 (1) – Apr 16, 2005

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References (20)

Publisher
Springer Journals
Copyright
Copyright
Subject
Philosophy; Philosophy of Biology; Evolutionary Biology
ISSN
0001-5342
eISSN
1572-8358
DOI
10.1007/BF01602050
Publisher site
See Article on Publisher Site

Abstract

Acta Biotheoretica XXlII (i): I8-34 (1974) by SUSAN MILTON AND CHRIS P. TSOKOS Radford College and University of South Florida (received I5-XI-I973) I. INTRODUCTION In many instances in the physical and biological sciences mathematical models are used in an attempt to describe or explain tile complex pro- cesses under consideration. These models are usually deterministic in nature but are generally arrived at by experimental techniques. They frequently involve functions which are assumed to be of a fixed but unknown nature and which must be approximated and constants which have a specific physical meaning but whose values must be obtained using laboratory techniques. The usual method for approximating an unknown function x(t) is to obtain experimentally at various times h several values for x(h) and then use as the "true" value of x(h) some estimate based on these observations, usually the mean. By taking points h sufficiently close together an approximating curve for x(t) is constructed and is used as the "true" form of x(t) in subsequent calculations. A similar technique is used to obtain the value to be used for any unknown constant K which appears in the model. If this procedure were repeated many times, even under the

Journal

Acta BiotheoreticaSpringer Journals

Published: Apr 16, 2005

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