Growth-rate distributions of gut microbiota time series

Abstract Logarithmic growth-rates are fundamental observables for describing ecological systems and the characterization of their distributions with analytical techniques can greatly improve their comprehension. Here a neutral model based on a stochastic differential equation with demographic noise,...

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Main Authors: E. Brigatti, S. Azaele
Format: Article
Language:English
Published: Nature Portfolio 2025-01-01
Series:Scientific Reports
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Online Access:https://doi.org/10.1038/s41598-024-82882-x
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author E. Brigatti
S. Azaele
author_facet E. Brigatti
S. Azaele
author_sort E. Brigatti
collection DOAJ
description Abstract Logarithmic growth-rates are fundamental observables for describing ecological systems and the characterization of their distributions with analytical techniques can greatly improve their comprehension. Here a neutral model based on a stochastic differential equation with demographic noise, which presents a closed form for these distributions, is used to describe the population dynamics of microbiota. Results show that this model can successfully reproduce the log-growth rate distribution of the considered abundance time-series. More significantly, it predicts its temporal dependence, by reproducing its kurtosis evolution when the time lag $$\tau$$ is increased. Furthermore, its typical shape for large $$\tau$$ is assessed, verifying that the distribution variance does not diverge with $$\tau$$ . The simulated processes generated by the calibrated stochastic equation and the analysis of each time-series, taken one by one, provided additional support for our approach. Alternatively, we tried to describe our dataset by using a logistic neutral model with an environmental stochastic term. Analytical and numerical results show that this model is not suited for describing the leptokurtic log-growth rates distribution found in our data. These results support an effective neutral model with demographic stochasticity for describing the considered microbiota.
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spelling doaj-art-69161006c47b4e588888222a5ed5b3a22025-01-26T12:30:58ZengNature PortfolioScientific Reports2045-23222025-01-0115111010.1038/s41598-024-82882-xGrowth-rate distributions of gut microbiota time seriesE. Brigatti0S. Azaele1Instituto de Física, Universidade Federal do Rio de JaneiroDipartimento di Fisica “G. Galilei”, Università di PadovaAbstract Logarithmic growth-rates are fundamental observables for describing ecological systems and the characterization of their distributions with analytical techniques can greatly improve their comprehension. Here a neutral model based on a stochastic differential equation with demographic noise, which presents a closed form for these distributions, is used to describe the population dynamics of microbiota. Results show that this model can successfully reproduce the log-growth rate distribution of the considered abundance time-series. More significantly, it predicts its temporal dependence, by reproducing its kurtosis evolution when the time lag $$\tau$$ is increased. Furthermore, its typical shape for large $$\tau$$ is assessed, verifying that the distribution variance does not diverge with $$\tau$$ . The simulated processes generated by the calibrated stochastic equation and the analysis of each time-series, taken one by one, provided additional support for our approach. Alternatively, we tried to describe our dataset by using a logistic neutral model with an environmental stochastic term. Analytical and numerical results show that this model is not suited for describing the leptokurtic log-growth rates distribution found in our data. These results support an effective neutral model with demographic stochasticity for describing the considered microbiota.https://doi.org/10.1038/s41598-024-82882-xPopulation dynamicsGrowth-rate distributionNeutral modelsMicrobiota
spellingShingle E. Brigatti
S. Azaele
Growth-rate distributions of gut microbiota time series
Scientific Reports
Population dynamics
Growth-rate distribution
Neutral models
Microbiota
title Growth-rate distributions of gut microbiota time series
title_full Growth-rate distributions of gut microbiota time series
title_fullStr Growth-rate distributions of gut microbiota time series
title_full_unstemmed Growth-rate distributions of gut microbiota time series
title_short Growth-rate distributions of gut microbiota time series
title_sort growth rate distributions of gut microbiota time series
topic Population dynamics
Growth-rate distribution
Neutral models
Microbiota
url https://doi.org/10.1038/s41598-024-82882-x
work_keys_str_mv AT ebrigatti growthratedistributionsofgutmicrobiotatimeseries
AT sazaele growthratedistributionsofgutmicrobiotatimeseries