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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

To study the fluctuations and dynamics in chemical reaction processes, stochastic differential equations based on the rate equation involving chemical concentrations are often adopted. When the number of molecules is very small, however,…

Chemical Physics · Physics 2007-05-23 Yuichi Togashi , Kunihiko Kaneko

Biomolecular machines consume free energy to break symmetry and make directed progress. Nonequilibrium ATP concentrations are the typical free energy source, with one cycle of a molecular machine consuming a certain number of ATP, providing…

Statistical Mechanics · Physics 2017-10-23 Aidan I Brown , David A Sivak

Experimental and empirical observations on cell metabolism cannot be understood as a whole without their integration into a consistent systematic framework. However, the characterization of metabolic flux phenotypes is typically reduced to…

Molecular Networks · Quantitative Biology 2015-09-03 Oriol Güell , Francesco Alessandro Massucci , Francesc Font-Clos , Francesc Sagués , M. Ángeles Serrano

We study analytically and numerically a model metabolic cycle composed of an arbitrary number of species of catalytically active particles. Each species converts a substrate into a product, the latter being used as the substrate by the next…

Soft Condensed Matter · Physics 2023-09-29 Vincent Ouazan-Reboul , Jaime Agudo-Canalejo , Ramin Golestanian

Why can the world resist the law of entropy increase and produce self-organizing structure? Does the entropy of an isolated system always only increase and never decrease? Can be thermodymamic degradation and self-organizing evolution…

Statistical Mechanics · Physics 2007-10-26 Xiu-San Xing

We derive a single-cell level understanding of metabolism in an isogenic cyanobacterial population by integrating secondary ion mass spectrometry (SIMS) derived multi-isotope uptake measurements of Synechocystis sp. PCC6803 with a…

This paper deals with temporal enzyme distribution in the activation of biochemical pathways. Pathway activation arises when production of a certain biomolecule is required due to changing environmental conditions. Under the premise that…

Quantitative Methods · Quantitative Biology 2008-01-17 Diego Oyarzún , Brian Ingalls , Richard Middleton , Dimitrios Kalamatianos

Dynamical balance of excitation and inhibition is usually invoked to explain the irregular low firing activity observed in the cortex. We propose a robust nonlinear balancing mechanism for a random network of spiking neurons, which works…

Disordered Systems and Neural Networks · Physics 2025-05-29 Antonio Politi , Alessandro Torcini

Standard Spiking Neural Network (SNN) models typically neglect metabolic constraints, treating neurons as energetically unconstrained components. We bridge this gap by implementing a conductance-based leaky integrate-and-fire (gLIF)…

Neurons and Cognition · Quantitative Biology 2025-12-29 Ece Öner , Cenk Denktaş

We cast the metabolism of interacting cells within a statistical mechanics framework considering both, the actual phenotypic capacities of each cell and its interaction with its neighbors. Reaction fluxes will be the components of…

Molecular Networks · Quantitative Biology 2020-04-08 Jorge Fernandez-de-Cossio-Diaz , Roberto Mulet

Cortical activity in-vivo displays relaxational time scales much longer than the membrane time constant of the neurons or the deactivation time of ionotropic synaptic conductances. The mechanisms responsible for such slow dynamics are not…

Disordered Systems and Neural Networks · Physics 2025-08-07 Ferdinand Tixidre , Gianluigi Mongillo , Alessandro Torcini

Metabolic networks perform some of the most fundamental functions in living cells, including energy transduction and building block biosynthesis. While these are the best characterized networks in living systems, understanding their…

Molecular Networks · Quantitative Biology 2010-04-05 W. J. Riehl , P. L. Krapivsky , S. Redner , D. Segre

How can a microorganism adapt to a variety of environmental conditions despite there exists a limited number of signal transduction machineries? We show that for any growing cells whose gene expression is under stochastic fluctuations,…

Molecular Networks · Quantitative Biology 2015-05-13 Chikara Furusawa , Kunihiko Kaneko

In this work we study, at the single molecular level, the thermodynamic and dynamic characteristics of an enzymatic reaction comprising a rate limiting step. We investigate how the stability of the enzyme-state stationary probability…

Subcellular Processes · Quantitative Biology 2015-05-20 Moisés Santillán

Fluctuations in the abundance of molecules in the living cell may affect its growth and well being. For regulatory molecules (e.g., signaling proteins or transcription factors), fluctuations in their expression can affect the levels of…

Molecular Networks · Quantitative Biology 2009-11-13 Erel Levine , Terence Hwa

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

Understanding the organization of reaction fluxes in cellular metabolism from the stoichiometry and the topology of the underlying biochemical network is a central issue in systems biology. In this task, it is important to devise reasonable…

Molecular Networks · Quantitative Biology 2009-11-13 C. Martelli , A. De Martino , E. Marinari , M. Marsili , I. Perez Castillo

Thermodynamics constrains the flow of matter in a reaction network to occur through routes along which the Gibbs energy decreases, implying that viable steady-state flux patterns should be void of closed reaction cycles. Identifying and…

Molecular Networks · Quantitative Biology 2013-10-15 Daniele De Martino , Fabrizio Capuani , Matteo Mori , Andrea De Martino , Enzo Marinari

Natural selection has shaped the evolution of cells and multi-cellular organisms such that social cooperation can often be preferred over an individualistic approach to metabolic regulation. This paper extends a framework for dynamic…

Molecular Networks · Quantitative Biology 2021-01-28 David S. Tourigny