A mathematical model of Bacteroides thetaiotaomicron, Methanobrevibacter smithii, and Eubacterium rectale interactions in the human gut

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 model mathematically the biomass of three microorganism populations: Bacteroides the...

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Main Authors: Melissa A. Adrian, Bruce P. Ayati, Ashutosh K. Mangalam
Format: Article
Language:English
Published: Nature Portfolio 2023-12-01
Series:Scientific Reports
Online Access:https://doi.org/10.1038/s41598-023-48524-4
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author Melissa A. Adrian
Bruce P. Ayati
Ashutosh K. Mangalam
author_facet Melissa A. Adrian
Bruce P. Ayati
Ashutosh K. Mangalam
author_sort Melissa A. Adrian
collection DOAJ
description 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 model mathematically 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 such that bacteria and nutrients exit the gut at a rate proportional to its volume, 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.
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spelling doaj.art-72b92081b95645ebb03d3bce4fe5a3282023-12-03T12:20:23ZengNature PortfolioScientific Reports2045-23222023-12-0113111110.1038/s41598-023-48524-4A mathematical model of Bacteroides thetaiotaomicron, Methanobrevibacter smithii, and Eubacterium rectale interactions in the human gutMelissa A. Adrian0Bruce P. Ayati1Ashutosh K. Mangalam2Department of Mathematics, University of IowaDepartment of Mathematics, University of IowaDepartment of Pathology, University of IowaAbstract 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 model mathematically 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 such that bacteria and nutrients exit the gut at a rate proportional to its volume, 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.https://doi.org/10.1038/s41598-023-48524-4
spellingShingle Melissa A. Adrian
Bruce P. Ayati
Ashutosh K. Mangalam
A mathematical model of Bacteroides thetaiotaomicron, Methanobrevibacter smithii, and Eubacterium rectale interactions in the human gut
Scientific Reports
title A mathematical model of Bacteroides thetaiotaomicron, Methanobrevibacter smithii, and Eubacterium rectale interactions in the human gut
title_full A mathematical model of Bacteroides thetaiotaomicron, Methanobrevibacter smithii, and Eubacterium rectale interactions in the human gut
title_fullStr A mathematical model of Bacteroides thetaiotaomicron, Methanobrevibacter smithii, and Eubacterium rectale interactions in the human gut
title_full_unstemmed A mathematical model of Bacteroides thetaiotaomicron, Methanobrevibacter smithii, and Eubacterium rectale interactions in the human gut
title_short A mathematical model of Bacteroides thetaiotaomicron, Methanobrevibacter smithii, and Eubacterium rectale interactions in the human gut
title_sort mathematical model of bacteroides thetaiotaomicron methanobrevibacter smithii and eubacterium rectale interactions in the human gut
url https://doi.org/10.1038/s41598-023-48524-4
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