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A biologically motivated individual-based framework for evolution in network-structured populations is developed that can accommodate eco-evolutionary dynamics. This framework is used to construct a network birth and death model. The…

Populations and Evolution · Quantitative Biology 2021-03-19 Karan Pattni , Christopher E. Overton , Kieran J. Sharkey

The origin of diversification and coexistence of genes and species have been traditionally studied in isolated biological levels. Ecological and evolutionary views have focused on the mechanisms that enable or constrain species coexistence,…

Populations and Evolution · Quantitative Biology 2008-07-18 Carlos J. Melian , David Alonso , Diego P. Vazquez , James Regetz

A fundamental problem in ecology is to understand how competition shapes biodiversity and species coexistence. Historically, one important approach for addressing this question has been to analyze consumer resource models using geometric…

Populations and Evolution · Quantitative Biology 2023-10-31 Emmy Blumenthal , Pankaj Mehta

More and more diseases have been found to be strongly correlated with disturbances in the microbiome constitution, e.g., obesity, diabetes, or some cancer types. Thanks to modern high-throughput omics technologies, it becomes possible to…

Quantitative Methods · Quantitative Biology 2021-04-06 Kateryna Melnyk , Stefan Klus , Grégoire Montavon , Tim Conrad

Microbes are essentially yet convolutedly linked with human lives on the earth. They critically interfere in different physiological processes and thus influence overall health status. Studying microbial species is used to be constrained to…

Genomics · Quantitative Biology 2021-09-03 Chao Yang , Debajyoti Chowdhury , Zhenmiao Zhang , William K. Cheung , Aiping Lu , Zhao Xiang Bian , Lu Zhang

One of the most challenging problems in microbiology is to understand how a small fraction of microbes that resists killing by antibiotics can emerge in a population of genetically identical cells, the phenomenon known as persistence or…

Subcellular Processes · Quantitative Biology 2015-06-17 Andrea Rocco , Andrzej M. Kierzek , Johnjoe McFadden

Whether or not biodiversity dynamics tend toward stable equilibria remains an unsolved question in ecology and evolution with important implications for our understanding of diversity and its conservation. Phylo/population genetic models…

Populations and Evolution · Quantitative Biology 2017-05-16 A. J. Rominger , I. Overcast , H. Krehenwinkel , R. G. Gillespie , J. Harte , M. J. Hickerson

Biological entities are inherently dynamic. As such, various ecological disciplines use mathematical models to describe temporal evolution. Typically, growth curves are modelled as sigmoids, with the evolution modelled by ordinary…

Dynamical Systems · Mathematics 2023-09-12 A. Samoletov , B. Vasiev

When microbes compete for limited resources, they often engage in chemical warfare using bacterial toxins. This competition can be understood in terms of evolutionary game theory (EGT). We study the predictions of EGT for the bacterial…

Populations and Evolution · Quantitative Biology 2013-11-07 Christoph Adami , Jory Schossau , Arend Hintze

We present novel analytical results about ecosystem species diversity that stem from a proposed coarse grained neutral model based on birth-death processes. The relevance of the problem lies in the urgency for understanding and synthesizing…

Populations and Evolution · Quantitative Biology 2015-06-05 Samir Suweis , Andrea Rinaldo , Amos Maritan

Genome-scale stoichiometric modeling of metabolism has become a standard systems biology tool for modeling cellular physiology and growth. Extensions of this approach are also emerging as a valuable avenue for predicting, understanding and…

Microbial communities routinely have several alternative stable states observed for the same environmental parameters. Sudden and irreversible transitions between these states make external manipulation of these systems more complicated. To…

Populations and Evolution · Quantitative Biology 2018-10-12 Veronika Dubinkina , Yulia Fridman , Parth Pandey , Sergei Maslov

High-throughput sequencing techniques such as metagenomic and metatranscriptomic technologies allow cataloging of functional characteristics of microbial community members as well as their taxonomic identity. Such studies have found that a…

Populations and Evolution · Quantitative Biology 2019-06-24 Lee Worden

A fundamental issue discussed in evolutionary biology is the transition from unicellular to multicellular organisms. Here we develop non-robust models provided in [1] and attempt to get robust models investigated how differentiation of…

Populations and Evolution · Quantitative Biology 2015-12-15 Denis Tverskoy

Many organisms live in populations structured by space and by class, exhibit plastic responses to their social partners, and are subject to non-additive ecological and fitness effects. Social evolution theory has long recognized that all of…

Populations and Evolution · Quantitative Biology 2014-04-24 Jeremy Van Cleve , Erol Akçay

Microbes providing public goods are widespread in nature despite running the risk of being exploited by free-riders. However, the precise ecological factors supporting cooperation are still puzzling. Following recent experiments, we…

Populations and Evolution · Quantitative Biology 2012-03-28 Jonas Cremer , Anna Melbinger , Erwin Frey

The marine microbial food web plays a central role in the global carbon cycle. Our mechanistic understanding of the ocean, however, is biased towards its larger constituents, while rates and biomass fluxes in the microbial food web are…

Biological Physics · Physics 2022-12-21 Harshith Bachimanchi , Benjamin Midtvedt , Daniel Midtvedt , Erik Selander , Giovanni Volpe

The first chapter concerns monotype population models. We first study general birth and death processes and we give non-explosion and extinction criteria, moment computations and a pathwise representation. We then show how different scales…

Probability · Mathematics 2017-07-06 Vincent Bansaye , Sylvie Méléard

We study open-ended evolution by focusing on computational and information-processing dynamics underlying major evolutionary transitions. In doing so, we consider biological organisms as hierarchical dynamical systems that generate…

A microscopic agent dynamical model for diploid age-structured populations is used to study evolution of polymorphism and sympatric speciation. The underlying ecology is represented by a unimodal distribution of resources of some width.…

Populations and Evolution · Quantitative Biology 2015-06-26 E. Brigatti , J. S. Sa' Martins , I. Roditi