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The rapid advancement of environmental sequencing technologies, such as metagenomics, has significantly enhanced our ability to study microbial communities. The eubiotic composition of these communities is crucial for maintaining ecological…

Disordered Systems and Neural Networks · Physics 2025-08-27 Jacopo Pasqualini , Amos Maritan , Andrea Rinaldo , Sonia Facchin , Edoardo Savarino , Ada Altieri , Samir Suweis

Microbial communities assemble through a complex set of interactions between microbes and their environment, and the resulting metabolic impact on the host ecosystem can be profound. Microbial activity is known to impact human health, plant…

Quantitative Methods · Quantitative Biology 2023-11-09 James D. Brunner , Laverne A. Gallegos-Graves , Marie E. Kroeger

Personalized models of the gut microbiome are valuable for disease prevention and treatment. For this, one requires a mathematical model that predicts microbial community composition and the emergent behavior of microbial communities. We…

Populations and Evolution · Quantitative Biology 2019-10-29 James D. Brunner , Nicholas Chia

The generalized Lotka-Volterra (gLV) equations model the microbiome as a collection of interacting ecological species. Here we use a particular experimentally-derived gLV model of C. difficile infection (CDI) as a case study to generate…

Populations and Evolution · Quantitative Biology 2020-07-24 Eric W. Jones , Parker Shankin-Clarke , Jean M. Carlson

The intricate interplay between host organisms and their gut microbiota has catalyzed research into the microbiome's role in disease, shedding light on novel aspects of disease pathogenesis. However, the mechanisms through which the…

Methodology · Statistics 2024-02-20 Lei Fang , Yue Wang , Chenglong Ye

Human associated microbial communities exert tremendous influence over human health and disease. With modern metagenomic sequencing methods it is possible to follow the relative abundance of microbes in a community over time. These…

Quantitative Methods · Quantitative Biology 2015-06-18 Charles K. Fisher , Pankaj Mehta

Inferring microbial community structure based on temporal metagenomics data is an important goal in microbiome studies. The deterministic generalized Lotka-Volterra differential (GLV) equations have been used to model the dynamics of…

Methodology · Statistics 2020-09-24 Libai Xu , Ximing Xu , Dehan Kong , Hong Gu , Toby Kenney

The human microbiome is a complex ecological system, and describing its structure and function under different environmental conditions is important from both basic scientific and medical perspectives. Viewed through a biostatistical lens,…

Applications · Statistics 2017-11-17 Kris Sankaran , Susan P. Holmes

Metagenomic data has significantly advanced microbiome research by employing ecological models, particularly in personalised medicine. The generalised Lotka-Volterra (gLV) model is commonly used to understand microbial interactions and…

Populations and Evolution · Quantitative Biology 2025-10-07 Mario Castro , Rafael Vida , Javier Galeano , José A. Cuesta

The human gut microbiome is a complex ecosystem, in which hundreds of microbial species and metabolites coexist, in part due to an extensive network of cross-feeding interactions. However, both the large-scale trophic organization of this…

Populations and Evolution · Quantitative Biology 2020-07-01 Tong Wang , Akshit Goyal , Veronika Dubinkina , Sergei Maslov

Understanding how microbes interact with each other is key to revealing the underlying role that microorganisms play in the host or environment and to identifying microorganisms as an agent that can potentially alter the host or…

Applications · Statistics 2022-07-05 Chuan Tian , Duo Jiang , Austin Hammer , Thomas Sharpton , Yuan Jiang

The state space is a fundamental concept for describing the trajectory of a dynamic system. Depending on its form, it can highlight certain changes over time while ignoring others. This is particularly the case for the spaces associated…

Dynamical Systems · Mathematics 2026-04-10 Arthur Doliveira , Christophe Roman , Guillaume Graton , Mustapha Ouladsine

The gut microbiome plays a crucial role in human health, yet the mechanisms underlying host-microbiome interactions remain unclear, limiting its translational potential. Recent microbiome multiomics studies, particularly paired…

Methodology · Statistics 2025-04-09 Haoran Shi , Yue Wang , Dan Cheng

Gut microbial composition has been linked to multiple health outcomes. Yet, temporal analysis of this composition had been limited to deterministic models. In this paper, we introduce a probabilistic model for the dynamics of intestinal…

Quantitative Methods · Quantitative Biology 2018-09-03 Ruiqi Zhong , Tyler Joseph , Joao B Xavier , Itsik Pe'er

Alterations in the human gut bacteriome can be associated with human health issues, such as type-2 diabetes and cardiovascular disease. Both external and internal factors can drive changes in the composition and in the interactions of the…

Molecular Networks · Quantitative Biology 2021-07-19 Samitha Somathilaka , Daniel P. Martins , Wiley Barton , Orla O'Sullivan , Paul D. Cotter , Sasitharan Balasubramaniam

The intestinal microbiota plays important roles in digestion and resistance against entero-pathogens. As with other ecosystems, its species composition is resilient against small disturbances but strong perturbations such as antibiotics can…

Quantitative Methods · Quantitative Biology 2015-06-04 Vanni Bucci , Serena Bradde , Giulio Biroli , Joao B. Xavier

In this work, we introduce a computational model for the study of the host-bacteria interaction and the influence of the intestinal microbiota on the behavior and feeding pattern of an individual. The model is based on digital entities,…

Populations and Evolution · Quantitative Biology 2019-09-11 João Paulo Almeida de Mendonça , Leonardo da Motta de Vasconcellos Teixeira , Fernando Sato

The Lotka-Volterra (LV) model is a simple, robust, and versatile model used to describe large interacting systems such as food webs or microbiomes. The model consists of $n$ coupled differential equations linking the abundances of $n$…

Populations and Evolution · Quantitative Biology 2024-08-28 Maxime Clenet , François Massol , Jamal Najim

Microbes are everywhere, including in and on our bodies, and have been shown to play key roles in a variety of prevalent human diseases. Consequently, there has been intense interest in the design of bacteriotherapies or "bugs as drugs,"…

Machine Learning · Statistics 2020-04-13 Travis E. Gibson , Georg K. Gerber

The human gut microbiota is known to contribute to numerous physiological functions of the body and also implicated in a myriad of pathological conditions. Prolific research work in the past few decades have yielded valuable information…

Quantitative Methods · Quantitative Biology 2023-07-12 Isha Thombre , Pavan Kumar Perepu , Shyam Kumar Sudhakar
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