Preprint
A mathematical model of B. thetaiotaomicron, M. smithii, and E. rectale interactions in the human gut
ArXiv.org
03/19/2023
DOI: 10.48550/arxiv.2303.12026
Abstract
The human gut microbiota is a complex ecosystem that affects a range of human
physiology. In order to explore the dynamics of the human gut microbiota, we
used a system of ordinary differential equations to mathematically model the
biomass of three microorganism populations: Bacteroides thetaiotaomicron,
Eubacterium rectale, and Methanobrevibacter smithii. Additionally, we modeled
the concentrations of relevant nutrients necessary to sustain these populations
over time. Our model highlights the interactions and the competition among
these three species. These three microorganisms were specifically chosen due to
the system's end product, butyrate, which is a short chain fatty acid that aids
in developing and maintaining the intestinal barrier in the human gut. The
basis of our mathematical model assumes the gut is structured somewhat similar
to a chemostat, with bacteria and nutrients exiting the gut at a rate
proportional to the volume of the chemostat, the rate of volumetric flow, and
the biomass or concentration of the particular population or nutrient. We
performed global sensitivity analyses using Sobol' sensitivities to estimate
the relative importance of model parameters on simulation results.
Details
- Title: Subtitle
- A mathematical model of B. thetaiotaomicron, M. smithii, and E. rectale interactions in the human gut
- Creators
- Melissa A AdrianBruce P AyatiAshutosh K Mangalam
- Resource Type
- Preprint
- Publication Details
- ArXiv.org
- DOI
- 10.48550/arxiv.2303.12026
- ISSN
- 2331-8422
- Language
- English
- Date posted
- 03/19/2023
- Academic Unit
- Pathology; Mathematics; Iowa Neuroscience Institute
- Record Identifier
- 9984380463302771
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