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

Technical Report · Mon Aug 26 00:00:00 EDT 2019

DOI:https://doi.org/10.2172/1559245· OSTI ID:1559245

Faybishenko, Boris ^[1]; Molz, Fred ^[2]; Agarwal, Deborah ^[3]

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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

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).

• Research Organization: Lawrence Berkeley National Lab. (LBNL), Berkeley, CA (United States)
• Sponsoring Organization: USDOE Office of Science (SC), Advanced Scientific Computing Research (ASCR)
• DOE Contract Number: AC02-05CH11231
• OSTI ID: 1559245
• Report Number(s): LBNL-2001172; ark:/13030/qt9wr5396s
• Country of Publication: United States
• Language: English

Related Subjects

59 BASIC BIOLOGICAL SCIENCES