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Recent progress has clarified many features of the global architecture of biological metabolic networks, which have highly organized and optimized tolerances and tradeoffs (HOT) for functional requirements of flexibility, efficiency,…

Molecular Networks · Quantitative Biology 2007-05-23 Reiko Tanaka , John Doyle

It is of great biological interest to understand the molecular origins of chemotactic behavior of E. coli by developing population-level models based on the underlying signaling pathway dynamics. We derive macroscopic models for E.coli…

Analysis of PDEs · Mathematics 2016-05-06 Weiran Sun , Min Tang

The flagellated bacterium Escherichia coli is increasingly used experimentally as a self-propelled swimmer. To obtain meaningful, quantitative results that are comparable between different laboratories, reproducible protocols are needed to…

Understanding how biochemical systems settle into stable states, such as how protein concentrations reach equilibrium, is central to explaining cellular behavior and designing synthetic biological circuits. However, existing analytical…

Dynamical Systems · Mathematics 2026-04-23 Exequiel Jun V. Villejo , Aurelio A. de los Reyes , Bryan S. Hernandez

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

Highly-optimized complex transport networks serve crucial functions in many man-made and natural systems such as power grids and plant or animal vasculature. Often, the relevant optimization functional is non-convex and characterized by…

Biological Physics · Physics 2016-09-23 Henrik Ronellenfitsch , Eleni Katifori

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

Production of energy (metabolism) and its distribution is vital for living organisms, both at individual level - between different functions of an organism, as well as between species of communities at different organizational levels,…

Other Quantitative Biology · Quantitative Biology 2024-12-02 Yuri K Shestopaloff

When the motion of a motile cell is observed closely, it appears erratic, and yet the combination of nonequilibrium forces and surfaces can produce striking examples of organization in microbial systems. While most of our current…

Decomposition of biomolecular reaction networks into pathways is a powerful approach to the analysis of metabolic and signalling networks. Current approaches based on analysis of the stoichiometric matrix reveal information about…

Molecular Networks · Quantitative Biology 2018-08-14 Peter J. Gawthrop , Edmund J. Crampin

Accurate quantification of intracellular metabolic fluxes is central to systems biology and biotechnology. Flux estimation relies on biochemical network models, with $^{13}$C metabolic flux analysis (MFA) being the state-of-the-art…

Quantitative Methods · Quantitative Biology 2026-05-26 Johann F. Jadebeck , Anton Stratmann , Martin Beyß , Katharina Nöh

Multicellular self-organization drives development in biological organisms, yet a comprehensive theory is lacking as basic properties of cells can complicate common approaches. Framing such properties by dynamic graphs led to new…

Molecular Networks · Quantitative Biology 2026-05-26 Kyle R. Allison

We present a model for continuous cell culture coupling intra-cellular metabolism to extracellular variables describing the state of the bioreactor, taking into account the growth capacity of the cell and the impact of toxic byproduct…

Molecular Networks · Quantitative Biology 2017-11-21 Jorge Fernandez-de-Cossio-Diaz , Kalet León , Roberto Mulet

Escherichia coli has long been used as a model organism due to the extensive experimental characterization of its pathways and molecular components. Take chemotaxis as an example, which allows bacteria to sense and swim in response to…

Cell Behavior · Quantitative Biology 2015-12-09 Gabriele Micali , Robert G. Endres

Models of transcriptional regulation that assume equilibrium binding of transcription factors have been very successful at predicting gene expression from sequence in bacteria. However, analogous equilibrium models do not perform as well in…

Molecular Networks · Quantitative Biology 2021-10-14 Benjamin Zoller , Thomas Gregor , Gašper Tkačik

Sensitivity studies the network response to perturbations. We consider local perturbations of the concentrations of metabolites at an equilibrium. We investigate the responses in the network, both of the metabolite concentrations and of the…

Molecular Networks · Quantitative Biology 2020-12-22 Nicola Vassena

Proliferation is a defining feature of life. Through growth, division, and death, living systems consume energy and inject mass, breaking conservation laws and driving collective phenomena from biofilm formation to embryonic development.…

Statistical Mechanics · Physics 2026-03-25 Nicola Pellicciotta , Luca Angelani , Roberto Di Leonardo

The circadian rhythm plays a crucial role in regulating biological processes, and its disruption is linked to various health issues. Identifying small molecules that influence the circadian period is essential for developing targeted…

Neural and Evolutionary Computing · Computer Science 2026-01-12 Antonio Arauzo-Azofra , Jose Molina-Baena , Maria Luque-Rodriguez

The ubiquity of modules in biological networks may result from an evolutionary benefit of a modular organization. For instance, modularity may increase the rate of adaptive evolution, because modules can be easily combined into new…

Molecular Networks · Quantitative Biology 2011-08-26 Areejit Samal , Andreas Wagner , Olivier C. Martin

Intercellular exchange networks are essential for the adaptive capabilities of populations of cells. While diffusional exchanges have traditionally been difficult to map, recent advances in nanotechnology enable precise probing of exchange…

Statistical Mechanics · Physics 2024-12-13 Luís C. F. Latoski , Andrea De Martino , Daniele De Martino