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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…

最优化与控制 · 数学 2024-09-25 May Cai , Matthias Himmelmann , Birte Ostermann

Multisite phosphorylation networks are encountered in many intracellular processes like signal transduction, cell-cycle control or nuclear signal integration. In this contribution networks describing the phosphorylation and…

分子网络 · 定量生物学 2013-07-03 Katharina Holstein , Dietrich Flockerzi , Carsten Conradi

Multisite phosphorylation plays an important role in intracellular signaling. There has been much recent work aimed at understanding the dynamics of such systems when the phosphorylation/dephosphorylation mechanism is distributive, that is,…

分子网络 · 定量生物学 2014-10-23 Carsten Conradi , Anne Shiu

Multistationarity in biological systems is a mechanism of cellular decision making. In particular, signaling pathways regulated by protein phosphorylation display features that facilitate a variety of responses to different biological…

亚细胞过程 · 定量生物学 2011-07-05 Elisenda Feliu , Carsten Wiuf

This work addresses whether a reaction network, taken with mass-action kinetics, is multistationary, that is, admits more than one positive steady state in some stoichiometric compatibility class. We build on previous work on the effect…

分子网络 · 定量生物学 2019-08-27 AmirHosein Sadeghimanesh , Elisenda Feliu

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…

分子网络 · 定量生物学 2020-04-15 E. Feliu , N. Kaihnsa , T. de Wolff , O. Yürük

The multisite phosphorylation-dephosphorylation cycle is a motif repeatedly used in cell signaling. This motif itself can generate a variety of dynamic behaviors like bistability and ultrasensitivity without direct positive feedbacks. In…

定量方法 · 定量生物学 2011-11-09 Liming Wang , Eduardo D. Sontag

Multisite protein phosphorylation plays a prominent role in intracellular processes like signal transduction, cell-cycle control and nuclear signal integration. Many proteins are phosphorylated in a sequential and distributive way at more…

分子网络 · 定量生物学 2014-04-24 Dietrich Flockerzi , Katharina Holstein , Carsten Conradi

Background: Using a statistical physics approach, we study the stochastic switching behavior of a model circuit of multisite phosphorylation and dephosphorylation with feedback. The circuit consists of a kinase and phosphatase acting on…

分子网络 · 定量生物学 2007-10-02 Supriya Krishnamurthy , Eric Smith , David Krakauer , Walter Fontana

Phosphorylation, the enzyme-mediated addition of a phosphate group to a molecule, is a ubiquitous chemical mechanism in biology. Multisite phosphorylation, the addition of phosphate groups to multiple sites of a single molecule, may be…

分子网络 · 定量生物学 2017-06-06 Mitchell Eithun , Anne Shiu

Protein nanoclustering is a characteristic feature of their activated state and is essential for forming numerous subcellular structures. The formation of these nanoclusters is highly dependent on a series of post-translational…

生物物理 · 物理学 2025-11-13 Olivier Destaing , Bertrand Fourcade

The parameter region of multistationarity of a reaction network contains all the parameters for which the associated dynamical system exhibits multiple steady states. Describing this region is challenging and remains an active area of…

分子网络 · 定量生物学 2024-10-11 Nidhi Kaihnsa , Máté L. Telek

The distributive sequential n-site phosphorylation/dephosphorylation system is an important building block in networks of chemical reactions arising in molecular biology, which has been intensively studied. In the nice paper of Wang and…

分子网络 · 定量生物学 2019-04-29 Magalí Giaroli , Rick Rischter , Mercedes Pérez Millán , Alicia Dickenstein

We apply tools from real algebraic geometry to the problem of multistationarity of chemical reaction networks. A particular focus is on the case of reaction networks whose steady states admit a monomial parametrization. For such systems we…

分子网络 · 定量生物学 2019-08-14 Carsten Conradi , Alexandru Iosif , Thomas Kahle

Multisite protein phosphorylation plays a pivotal role in regulating cellular signaling and decision-making processes. In this study, we focus on the mathematical underpinnings and informational aspects of sequential, distributive…

分子网络 · 定量生物学 2025-07-22 Iman Tavassoly , Adel Mehrpooya , Parsa Mirlohi , Zahra Abbaspourasadollah

Multisite phosphorylation is a signaling mechanism well known to give rise to multiple steady states, a property termed multistationarity. When phosphorylation occurs in a sequential and distributive manner, we obtain a family of networks…

分子网络 · 定量生物学 2023-03-07 Elisenda Feliu , Nidhi Kaihnsa , Timo de Wolff , Oğuzhan Yürük

Biochemical covalent modification networks exhibit a remarkable suite of steady state and dynamical properties such as multistationarity, oscillations, ultrasensitivity and absolute concentration robustness. This paper focuses on conditions…

分子网络 · 定量生物学 2024-02-29 Badal Joshi , Tung D. Nguyen

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…

分子网络 · 定量生物学 2020-10-28 Elisenda Feliu , Alan D. Rendall , Carsten Wiuf

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…

分子网络 · 定量生物学 2024-02-09 Carsten Conradi , Maya Mincheva

Bifunctional enzymes, which catalyze both the forward and reverse steps of a substrate modification reaction, arise naturally in bacterial two-component signaling systems and metabolic regulation. Beyond their well-known role in conferring…

动力系统 · 数学 2026-05-13 Badal Joshi , Tung D. Nguyen , Matthew D. Johnston
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