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We introduce a new model for large scale evolution and extinction in which species are organized into food chains. The system evolves by two processes: origination/speciation and extinction. In the model, extinction of a given species can…

Statistical Mechanics · Physics 2007-05-23 Luis A. N. Amaral , Martin Meyer

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 living organism is considered as an open system, whereas Prigogine's approach to the thermodynamics of such systems is used. The approach allows one to formulate the law of individual growth and development (ontogenesis) of the living…

Biological Physics · Physics 2026-03-12 Alexei A. Zotin , Vladimir N. Pokrovskii

Empirical observations show that ecological communities can have a huge number of coexisting species, also with few or limited number of resources. These ecosystems are characterized by multiple type of interactions, in particular…

Populations and Evolution · Quantitative Biology 2018-05-18 Chengyi Tu , Samir Suweis , Jacopo Grillib , Marco Formentin , Amos Maritan

Empirical observations show that ecological communities can have a huge number of coexisting species, also with few or limited number of resources. These ecosystems are characterized by multiple type of interactions, in particular…

Populations and Evolution · Quantitative Biology 2018-05-21 Chengyi Tu , Samir Suweis , Jacopo Grilli , Marco Formentin , Amos Maritan

The coupling between evolutionary and ecological changes (eco-evolutionary dynamics) has been shown to be relevant among diverse species, and is also of interest outside of ecology, i.e. in cancer evolution. These dynamics play an important…

Analysis of PDEs · Mathematics 2026-01-21 Manh Hong Duong , Fabian Spill , Blaine van Rensburg

What makes living things special is how they manage matter, energy, and entropy. A general theory of organismal metabolism should therefore be quantified in these three currencies while capturing the unique way they flow between individuals…

Populations and Evolution · Quantitative Biology 2024-08-27 Marko Jusup , Michael R. Kearney

Metagenomics has revealed hundreds of bacterial species in almost all microbiota. In a few well-studied cases, bacterial communities have been observed to coordinate their metabolic fluxes. In principle, bacteria can divide tasks to reap…

Populations and Evolution · Quantitative Biology 2016-04-12 Thibaud Taillefumier , Anna Posfai , Yigal Meir , Ned S. Wingreen

We introduce the Webworld model, which links together the ecological modelling of food web structure with the evolutionary modelling of speciation and extinction events. The model describes dynamics of ecological communities on an…

adap-org · Physics 2007-05-23 Guido Caldarelli , Paul G. Higgs , Alan J. McKane

The dynamics of many microbial ecosystems are driven by cross-feeding interactions, in which metabolites excreted by some species are metabolised further by others. The population dynamics of such ecosystems are governed by…

Populations and Evolution · Quantitative Biology 2016-08-16 Björn Vessman , Philip Gerlee , Torbjörn Lundh

Species coexistence is one of the central themes in modern ecology. Coexistence is a prerequisite of biological diversity. However, the question arises how biodiversity can be reconciled with the statement of competition theory, which…

Populations and Evolution · Quantitative Biology 2007-08-17 Dalius Balciunas

The interactions among the constituent members of a microbial community play a major role in determining the overall behavior of the community and the abundance levels of its members. These interactions can be modeled using a network whose…

Artificial Intelligence · Computer Science 2020-10-20 Sahar Tavakoli

Many biological processes can be thought of as the result of an underlying dynamics in which the system repeatedly undergoes distinct and abortive trajectories with the dynamical process only ending when some specific process, purpose,…

Biological Physics · Physics 2025-06-05 Jane Kondev , Marc Kirschner , Hernan G. Garcia , Gabriel L. Salmon , Rob Phillips

One of the aims of systems biology is to build multiple layered and multiple scale models of living systems which can efficiently describe phenomena occurring at various level of resolution. Such models should consist of layers of various…

Dynamical Systems · Mathematics 2015-03-03 Jacek Banasiak , Aleksandra Falkiewicz , Proscovia Namayanja

Populations of species in ecosystems are often constrained by availability of resources within their environment. In effect this means that a growth of one population, needs to be balanced by comparable reduction in populations of others.…

Populations and Evolution · Quantitative Biology 2016-02-17 Sergei Maslov , Kim Sneppen

We introduce a simple computational model that, with a microscopic dynamics driven by natural selection and mutation alone, allows the description of true speciation events. A statistical analysis of the so generated evolutionary tree…

Populations and Evolution · Quantitative Biology 2009-11-11 V. Schwammle , E. Brigatti

Many natural patterns, such as the distributions of blood particles in a blood sample, proteins on cell surfaces, biological populations in their habitat, galaxies in the universe, the sequence of human genes, and the fitness in…

Computational Engineering, Finance, and Science · Computer Science 2012-05-17 Zhanshan Sam Ma

Modeling of growth (or decay) curves arises in many fields such as microbiology, epidemiology, marketing, and econometrics. Parametric forms like Logistic and Gompertz are often used for modeling such monotonic patterns. While useful for…

Methodology · Statistics 2025-04-15 Rajesh Selukar

Standard game theory cannot describe microbial interactions mediated by diffusible molecules. Nevertheless, we show that one can still model microbial dynamics using game theory with parameters renormalized by diffusion. Contrary to…

Populations and Evolution · Quantitative Biology 2015-05-26 Rajita Menon , Kirill S. Korolev

An active area of research interest is the inference of ecological models of complex microbial communities. Inferring such ecological models entails understanding the interactions between microbes and how they affect each other's growth.…

Applications · Statistics 2022-10-19 William Krinsman
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