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Title: Chaos and microbial systems. Progress report, July 1989--July 1990

Abstract

A recurrent theme of much recent research is that seemingly random fluctuations often occur as the result of simple deterministic mechanisms. Hence, much of the recent work in nonlinear dynamics has centered on new techniques for identifying order in seemingly chaotic systems. To determine the robustness of these techniques, chaos must, to some extent, be brought into the laboratory. Preliminary investigations of the forced double-Monod equations, a model for a predator and a prey in a chemostat with periodic variation in inflowing substrate concentration, suggest that simple microbial systems may provide the perfect framework for determining the efficacy and relevance of the new nonlinear dynamics in dealing with complex population dynamics. This research has two main goals, that is the mathematical analysis and computer simulation of the periodically forced double-Monod equations and of related models; and experimental (chemostat) population studies that evaluate the accuracy and generality of the models, and that judge the usefulness of various new techniques of nonlinear dynamics to the study of populations.

Authors:
Publication Date:
Research Org.:
Washington Univ., Seattle, WA (United States). Dept. of Applied Mathematics
Sponsoring Org.:
USDOE, Washington, DC (United States)
OSTI Identifier:
10140770
Report Number(s):
DOE/ER/60880-T1
ON: DE93011727
DOE Contract Number:
FG05-89ER60880
Resource Type:
Technical Report
Resource Relation:
Other Information: PBD: Jul 1990
Country of Publication:
United States
Language:
English
Subject:
59 BASIC BIOLOGICAL SCIENCES; BIOLOGICAL MODELS; STATISTICS; BIOCHEMICAL REACTION KINETICS; PROGRESS REPORT; MATHEMATICAL MODELS; 550000; BIOMEDICAL SCIENCES, BASIC STUDIES

Citation Formats

Kot, M. Chaos and microbial systems. Progress report, July 1989--July 1990. United States: N. p., 1990. Web. doi:10.2172/10140770.
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Kot, M. Chaos and microbial systems. Progress report, July 1989--July 1990. United States. doi:10.2172/10140770.
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Kot, M. Sun . "Chaos and microbial systems. Progress report, July 1989--July 1990". United States. doi:10.2172/10140770. https://www.osti.gov/servlets/purl/10140770.
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@article{osti_10140770,
title = {Chaos and microbial systems. Progress report, July 1989--July 1990},
author = {Kot, M.},
abstractNote = {A recurrent theme of much recent research is that seemingly random fluctuations often occur as the result of simple deterministic mechanisms. Hence, much of the recent work in nonlinear dynamics has centered on new techniques for identifying order in seemingly chaotic systems. To determine the robustness of these techniques, chaos must, to some extent, be brought into the laboratory. Preliminary investigations of the forced double-Monod equations, a model for a predator and a prey in a chemostat with periodic variation in inflowing substrate concentration, suggest that simple microbial systems may provide the perfect framework for determining the efficacy and relevance of the new nonlinear dynamics in dealing with complex population dynamics. This research has two main goals, that is the mathematical analysis and computer simulation of the periodically forced double-Monod equations and of related models; and experimental (chemostat) population studies that evaluate the accuracy and generality of the models, and that judge the usefulness of various new techniques of nonlinear dynamics to the study of populations.},
doi = {10.2172/10140770},
journal = {},
number = ,
volume = ,
place = {United States},
year = {Sun Jul 01 00:00:00 EDT 1990},
month = {Sun Jul 01 00:00:00 EDT 1990}
}
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Technical Report:
View Technical Report (0.90 MB)
DOI:  10.2172/10140770
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