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The theory of monotone dynamical systems has been found very useful in the modeling of some gene, protein, and signaling networks. In monotone systems, every net feedback loop is positive. On the other hand, negative feedback loops are…

动力系统 · 数学 2009-11-13 Liming Wang , Eduardo Sontag

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

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

We present a stochastic formalism for signal transduction processes in bacterial two-component system. Using elementary mass action kinetics, the proposed model takes care of signal transduction in terms of phosphotransfer mechanism between…

亚细胞过程 · 定量生物学 2014-03-26 Alok Kumar Maity , Arnab Bandyopadhyay , Pinaki Chaudhury , Suman K Banik

Protein phosphorylation is a reversible post-translational modification commonly used by cell signaling networks to transmit information about the extracellular environment into intracellular organelles for the regulation of the activity…

分子网络 · 定量生物学 2016-11-17 Marylens Hernandez , Alexander Lachmann , Shan Zhao , Kunhong Xiao , Avi Ma'ayan

Feedback loops are essential for regulating cell proliferation and maintaining the delicate balance between cell division and cell death. Thanks to the exact solution of a few simple models of cell growth it is by now clear that stochastic…

种群与进化 · 定量生物学 2023-03-07 Antonio Francesco Zirattu , Marta Biondo , Matteo Osella , Michele Caselle

We investigate the weak solvability of initial boundary value problems associated with an ecosystem model of the marine phosphorus cycle. The analysis covers the model equations themselves as well as their linearization which is important…

偏微分方程分析 · 数学 2015-08-25 Christina Roschat , Thomas Slawig

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…

分子网络 · 定量生物学 2015-05-13 Carlos Gomez-Uribe , George C. Verghese , Leonid A. Mirny

In view of ever-changing conditions both in the external world and in intrinsic brain states, maintaining the robustness of computations poses a challenge, adequate solutions to which we are only beginning to understand. At the level of…

神经元与认知 · 定量生物学 2022-03-29 Nelson Niemeyer , Jan-Hendrik Schleimer , Susanne Schreiber

We introduce a model for describing the dynamics of large numbers of interacting cells. The fundamental dynamical variables in the model are sub-cellular elements, which interact with each other through phenomenological intra- and…

定量方法 · 定量生物学 2007-05-23 T. J. Newman

Parametrized polynomial ordinary differential equation systems are broadly used for modeling, specially in the study of biochemical reaction networks under the assumption of mass-action kinetics. Understanding the qualitative behavior of…

分子网络 · 定量生物学 2018-10-15 Elisenda Feliu

Dual phospho/dephosphorylation cycles, as well as covalent enzymatic-catalyzed modifications of substrates, are widely diffused within cellular systems and are crucial for the control of complex responses such as learning, memory and…

生物物理 · 物理学 2015-05-28 A. Bazzani , G. Castellani , E. Giampieri , D. Remondini , L. N Cooper

Response time-delay is an ubiquitous phenomenon in biological systems. Here we use a simple stochastic population model with time-delayed switching-rate conversion to quantitatively study the biological influence of the response time-delay…

种群与进化 · 定量生物学 2009-04-14 Xiao chuan Xue , Jinhua Zhao , Fei Liu , Zhong-can Ou-Yang

Post-transductional modifications tune the functions of proteins and regulate the collective dynamics of biochemical networks that determine how cells respond to environmental signals. For example, protein phosphorylation and nitrosylation…

细胞行为 · 定量生物学 2009-11-13 Roberto Chignola , Chiara Dalla Pellegrina , Alessio Del Fabbro , Edoardo Milotti

Posttranslational modification of proteins is key in transmission of signals in cells. Many signaling pathways contain several layers of modification cycles that mediate and change the signal through the pathway. Here, we study a simple…

定量方法 · 定量生物学 2010-12-21 Elisenda Feliu , Michael Knudsen , Lars N. Andersen , Carsten Wiuf

Biological systems encode function not primarily in steady states, but in the structure of transient responses elicited by time-varying stimuli. Overshoots, biphasic dynamics, adaptation kinetics, fold-change detection, entrainment, and…

定量方法 · 定量生物学 2026-01-05 Eduardo D. Sontag

The biological function of protein assemblies was conventionally equated with a unique three-dimensional protein structure and protein-specific interactions. However, in the past 20 years it was found that some assemblies contain long…

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

Epithelial tissues act as barriers and, therefore, must repair themselves, respond to environmental changes and grow without compromising their integrity. Consequently, they exhibit complex viscoelastic rheological behavior where…

软凝聚态物质 · 物理学 2022-10-04 Sijie Tong , Navreeta K. Singh , Rastko Sknepnek , Andrej Kosmrlj

An ubiquitous property of biological sensory systems is adaptation: a step increase in stimulus triggers an initial change in a biochemical or physiological response, followed by a more gradual relaxation toward a basal, pre-stimulus level.…

系统与控制 · 计算机科学 2015-06-04 Maja Skataric , Eduardo Sontag
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