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Phenotypic variation is a hallmark of cellular physiology. Metabolic heterogeneity, in particular, underpins single-cell phenomena such as microbial drug tolerance and growth variability. Much research has focussed on transcriptomic and…

Molecular Networks · Quantitative Biology 2019-01-31 Mona K. Tonn , Philipp Thomas , Mauricio Barahona , Diego A Oyarzún

In any ecosystem, the conditions of the environment and the characteristics of the species that inhabit it are entangled, co-evolving in space and time. We introduce a model that couples active agents with a dynamic environment, interpreted…

Populations and Evolution · Quantitative Biology 2025-12-10 G. Briozzo , G. J. Sibona , F. Peruani

Many of the chemical reactions that take place within a living cell are irreversible. Due to evolutionary pressures, the number of allowable reactions within these systems are highly constrained and thus the resulting metabolic networks…

Molecular Networks · Quantitative Biology 2013-03-04 Jonathan J Crofts , Ernesto Estrada

A perfectly rational decision-maker chooses the best action with the highest utility gain from a set of possible actions. The optimality principles that describe such decision processes do not take into account the computational costs of…

Artificial Intelligence · Computer Science 2013-12-25 Jordi Grau-Moya , Daniel A. Braun

Resource allocation takes place in various types of real-world complex systems such as urban traf- fic, social services institutions, economical and ecosystems. Mathematically, the dynamical process of complex resource allocation can be…

Physics and Society · Physics 2015-11-05 Ji-Qiang Zhang , Zi-Gang Huang , Zhi-Xi Wu , Riqi Su , Ying-Cheng Lai

A path information is defined in connection with different possible paths of irregular dynamic systems moving in its phase space between two points. On the basis of the assumption that the paths are physically differentiated by their…

Statistical Mechanics · Physics 2007-05-23 Qiuping A. Wang

In this work we study the interplay between the dynamics of a model of diffusion governed by a mechanism of imitation and its underlying structure. The dynamics of the model can be quantified by a macroscopic observable which permits the…

Statistical Mechanics · Physics 2009-11-10 Mateu Llas , Pablo M. Gleiser , Albert Diaz-Guilera , Conrad J. Perez

Depending on context, the term entropy is used for a thermodynamic quantity, a~measure of available choice, a quantity to measure information, or, in the context of statistical inference, a maximum configuration predictor. For systems in…

Statistical Mechanics · Physics 2018-11-14 Rudolf Hanel , Stefan Thurner

We present a general holistic theory for the organization of complex networks, both human-engineered and naturally-evolved. Introducing concepts of value of interactions and satisfaction as generic network performance measures, we show that…

Adaptation and Self-Organizing Systems · Physics 2007-07-13 Venkat Venkatasubramanian , Dimitris N. Politis , Priyan R. Patkar

Dormancy is an essential strategy for microorganisms to cope with environmental stress. However, global ecosystem models typically ignore microbial dormancy, resulting in major model uncertainties. To facilitate the consideration of…

Quantitative Methods · Quantitative Biology 2014-02-20 Gangsheng Wang , Melanie A. Mayes , Lianhong Gu , Christopher W. Schadt

Constraint-based flux balance analysis (FBA) has proven successful in predicting the flux distribution of metabolic networks in diverse environmental conditions. FBA finds one of the alternate optimal solutions that maximizes the biomass…

Molecular Networks · Quantitative Biology 2009-05-19 Areejit Samal

The dynamics of molecular collisions in a macroscopic body are encoded by the parameter Thermodynamic entropy - a statistical measure of the number of molecular configurations that correspond to a given macrostate. Directionality in the…

Populations and Evolution · Quantitative Biology 2020-05-22 Lloyd Demetrius , Christian Wolf

Genetic and environmental perturbation experiments have been used to study microbes in a bid to gain insight into transcriptional regulation, adaptive evolution, and other cellular dynamics. These studies have potential in enabling rational…

Molecular Networks · Quantitative Biology 2017-01-11 Tolutola Oyetunde , Jeffrey Czajka , Gang Wu , Cynthia Lo , Yinjie Tang

We investigate the stability properties of two different classes of metabolic cycles using a combination of analytical and computational methods. Using principles from structural kinetic modeling (SKM), we show that the stability of…

Molecular Networks · Quantitative Biology 2010-07-29 Ed Reznik , Daniel Segrè

We deal with a generalized statistical description of nonequilibrium complex systems based on least biased distributions given some prior information. A maximum entropy principle is introduced that allows for the determination of the…

Statistical Mechanics · Physics 2009-11-13 Erik Van der Straeten , Christian Beck

Macromolecules occupy between 34 and 44% of the cell cytoplasm, about half the maximum pack- ing density of spheres in three dimension. Yet, there is no clear understanding of what is special about this value. To address this fundamental…

Molecular Networks · Quantitative Biology 2010-05-11 Alexei Vazquez

Metabolism and evolution are closely connected: if a mutation incurs extra energetic costs for an organism, there is a baseline selective disadvantage that may or may not be compensated for by other adaptive effects. A long-standing, but to…

Populations and Evolution · Quantitative Biology 2019-06-19 Efe Ilker , Michael Hinczewski

The selection of an equilibrium state by maximising the entropy of a system, subject to certain constraints, is often powerfully motivated as an exercise in logical inference, a procedure where conclusions are reached on the basis of…

Statistical Mechanics · Physics 2015-12-03 Ian J. Ford

The Principle of Maximum Entropy is a rigorous technique for estimating an unknown distribution given partial information while simultaneously minimizing bias. However, an important requirement for applying the principle is that the…

Information Theory · Computer Science 2026-02-03 Kenneth Bogert , Matthew Kothe

Microbes produce metabolic resources that are important for cell growth yet leak across membranes into the extracellular environment. Other microbes in the same environment can use these resources and adjust their own metabolic production…

Populations and Evolution · Quantitative Biology 2018-01-16 Yoav Kallus , John H. Miller , Eric Libby