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Title: A broad exploration of nonlinear dynamics in microbial systems motivated by chemostat experiments producing deterministic chaos.

Abstract

The main objective of this report is to develop an exploratory mathematical analysis motivated by the Becks et al. (2005) experiments, which will be presented in Chapter 1. Related details of the resulting model will be presented in Chapter 2, and a detailed non-dimensionalization will follow in Chapter 3. During the research to be described, a potential relationship to Shannon information theory was realized, and this will be developed in Chapter 4. Several avenues for future research are suggested, and a more mathematically-oriented presentation of the non-linear dynamical properties of the equations developed in Chapter 1 may be found in Faybishenko et al. (2018).

Authors:
 [1];  [2];  [3]
  1. Lawrence Berkeley National Lab. (LBNL), Berkeley, CA (United States). Energy Geosciences Division
  2. Clemson Univ., SC (United States). Environmental Engineering & Earth Sciences Dept.
  3. Lawrence Berkeley National Lab. (LBNL), Berkeley, CA (United States). Computer Research Division
Publication Date:
Research Org.:
Lawrence Berkeley National Lab. (LBNL), Berkeley, CA (United States)
Sponsoring Org.:
USDOE Office of Science (SC), Advanced Scientific Computing Research (ASCR) (SC-21)
OSTI Identifier:
1559245
Report Number(s):
LBNL-2001172
ark:/13030/qt9wr5396s
DOE Contract Number:  
AC02-05CH11231
Resource Type:
Technical Report
Country of Publication:
United States
Language:
English

Citation Formats

Faybishenko, Boris, Molz, Fred, and Agarwal, Deborah. A broad exploration of nonlinear dynamics in microbial systems motivated by chemostat experiments producing deterministic chaos.. United States: N. p., 2019. Web. doi:10.2172/1559245.
Faybishenko, Boris, Molz, Fred, & Agarwal, Deborah. A broad exploration of nonlinear dynamics in microbial systems motivated by chemostat experiments producing deterministic chaos.. United States. doi:10.2172/1559245.
Faybishenko, Boris, Molz, Fred, and Agarwal, Deborah. Mon . "A broad exploration of nonlinear dynamics in microbial systems motivated by chemostat experiments producing deterministic chaos.". United States. doi:10.2172/1559245. https://www.osti.gov/servlets/purl/1559245.
@article{osti_1559245,
title = {A broad exploration of nonlinear dynamics in microbial systems motivated by chemostat experiments producing deterministic chaos.},
author = {Faybishenko, Boris and Molz, Fred and Agarwal, Deborah},
abstractNote = {The main objective of this report is to develop an exploratory mathematical analysis motivated by the Becks et al. (2005) experiments, which will be presented in Chapter 1. Related details of the resulting model will be presented in Chapter 2, and a detailed non-dimensionalization will follow in Chapter 3. During the research to be described, a potential relationship to Shannon information theory was realized, and this will be developed in Chapter 4. Several avenues for future research are suggested, and a more mathematically-oriented presentation of the non-linear dynamical properties of the equations developed in Chapter 1 may be found in Faybishenko et al. (2018).},
doi = {10.2172/1559245},
journal = {},
number = ,
volume = ,
place = {United States},
year = {2019},
month = {8}
}

Technical Report:

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