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The dual phosphorylation network provides an essential component of intracellular signaling, affecting the expression of phenotypes and cell metabolism. For particular choices of kinetic parameters, this system exhibits multistationarity, a…

Optimization and Control · Mathematics 2024-09-25 May Cai , Matthias Himmelmann , Birte Ostermann

Multistationarity in molecular systems underlies switch-like responses in cellular decision making. Determining whether and when a system displays multistationarity is in general a difficult problem. In this work we completely determine the…

Molecular Networks · Quantitative Biology 2020-04-15 E. Feliu , N. Kaihnsa , T. de Wolff , O. Yürük

Signal transduction within biological cells is governed by networks of interacting proteins. Communication between these proteins is mediated by signaling molecules which bind to receptors and induce stochastic transitions between different…

Molecular Networks · Quantitative Biology 2017-04-05 Gonzalo Hernandez-Hernandez , Jesse Myers , Enric Alvarez-Lacalle , Yohannes Shiferaw

G-protein-coupled receptors (GPCRs) are central to cellular information processing, yet the physical principles governing their switching behavior remain incompletely understood. We present a first principles theoretical framework, grounded…

Molecular Networks · Quantitative Biology 2026-01-21 Roger D. Jones , Achille Giacometti , Alan M. Jones

Cellular transformations which involve a significant phenotypical change of the cell's state use bistable biochemical switches as underlying decision systems. In this work, we aim at linking cellular decisions taking place on a time scale…

Cell Behavior · Quantitative Biology 2010-05-11 Steffen Waldherr , Jingbo Wu , Frank Allgöwer

The multiple futile cycle is a phosphorylation system in which a molecular substrate might be phosphorylated sequentially n times by means of an enzymatic mechanism. The system has been studied mathematically using reaction network theory…

Molecular Networks · Quantitative Biology 2020-10-28 Elisenda Feliu , Alan D. Rendall , Carsten Wiuf

Many cellular components are present in such low numbers that individual stochastic production and degradation events lead to significant fluctuations in molecular abundances. Although feedback control can, in principle, suppress such…

Molecular Networks · Quantitative Biology 2025-12-25 Ryan Ripsman , Brayden Kell , Andreas Hilfinger

Studies on the role of fluctuations in signal propagation and on gene regulation in monoclonal bacterial population have been extensively pursued based on the machinery of two-component system. The bacterial two-component system shows noise…

Molecular Networks · Quantitative Biology 2017-01-10 Tarunendu Mapder , Sudip Chattopadhyay , Suman K Banik

The properties of a front between two different phases in the presence of a smoothly inhomogeneous external field that takes its critical value at the crossing point is analyzed. Two generic scenarios are studied. In the first, the system…

Pattern Formation and Solitons · Physics 2015-08-17 Haim Weissmann , Nadav M. Shnerb , David A. Kessler

A ubiquitous building block of signaling pathways is a cycle of covalent modification (e.g., phosphorylation and dephosphorylation in MAPK cascades). Our paper explores the kind of information processing and filtering that can be…

Molecular Networks · Quantitative Biology 2015-05-13 Carlos Gomez-Uribe , George C. Verghese , Leonid A. Mirny

Mixed feedback loops combining transcriptional and post-transcriptional regulations are common in cellular regulatory networks. They consist of two genes, encoding a transcription factor and a small non-coding RNA (sRNA), which mutually…

Molecular Networks · Quantitative Biology 2015-06-11 Mor Nitzan , Yishai Shimoni , Oded Rosolio , Hanah Margalit , Ofer Biham

We study the stochastic kinetics of a signaling module consisting of a two-state stochastic point process with negative feedback. In the active state, a product is synthesized which increases the active-to-inactive transition rate of the…

Quantitative Methods · Quantitative Biology 2007-08-09 Manoj Gopalakrishnan , Peter Borowski , Frank Jülicher , Martin Zapotocky

Intracellular biochemical networks fluctuate dynamically due to various internal and external sources of fluctuation. Dissecting the fluctuation into biologically relevant components is important for understanding how a cell controls and…

Molecular Networks · Quantitative Biology 2016-02-17 Tetsuya J. Kobayashi , Ryo Yokota , Kazuyuki Aihara

We analyse the effect of intrinsic fluctuations on the properties of bistable stochastic systems with time scale separation operating under1 quasi-steady state conditions. We first formulate a stochastic generalisation of the quasi-steady…

Biological Physics · Physics 2016-03-02 Roberto de la Cruz , Pilar Guerrero , Fabian Spill , Tomás Alarcón

Bacterial chemotaxis in Escherichia coli is a canonical system for the study of signal transduction. A remarkable feature of this system is the coexistence of precise adaptation in population with large fluctuating cellular behavior in…

Molecular Networks · Quantitative Biology 2019-08-19 Thierry Emonet , Philippe Cluzel

Ordered distributive double phosphorylation is a recurrent motif in intracellular signaling and control. It is either sequential (where the site phosphorylated last is dephosphorylated first) or cyclic (where the site phosphorylated first…

Molecular Networks · Quantitative Biology 2024-02-09 Carsten Conradi , Maya Mincheva

We consider a model of extracellular signal-regulated kinase (ERK) regulation by dual-site phosphorylation and dephosphorylation, which exhibits bistability and oscillations, but loses these properties in the limit in which the mechanisms…

Molecular Networks · Quantitative Biology 2020-09-04 Carsten Conradi , Nida Obatake , Anne Shiu , Xiaoxian Tang

We investigate the transient nonequilibrium dynamics of a molecular junction biased by a finite voltage and strongly coupled to internal vibrational degrees of freedom. Using two different, numerical exact techniques, diagrammatic Monte…

Mesoscale and Nanoscale Physics · Physics 2012-10-05 Klaus Ferdinand Albrecht , Haobin Wang , Lothar Muehlbacher , Michael Thoss , Andreas Komnik

Nature presents multiple intriguing examples of processes which proceed at high precision and regularity. This remarkable stability is frequently counter to modelers' experience with the inherent stochasticity of chemical reactions in the…

Molecular Networks · Quantitative Biology 2015-12-31 Andreas Milias-Argeitis , Stefan Engblom , Pavol Bauer , Mustafa Khammash

The utilization of multiple phosphorylation sites in regulating a biological response is ubiquitous in cell signaling. If each site contributes an additional, equivalent binding site, then one consequence of an increase in the number of…

Subcellular Processes · Quantitative Biology 2009-11-13 Jason W. Locasale