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Deterministic and stochastic Boolean network models are build for the dynamics of negative feedback loops of the p53 pathways. It is shown that the main function of the negative feedback in the p53 pathways is to keep p53 at a low steady…

分子网络 · 定量生物学 2009-04-16 Hao Ge , Min Qian

Many biological systems dynamically rearrange their components through a sequence of configurations in order to perform their functions. Such dynamic processes have been studied using network models that sequentially retrieve a set of…

统计力学 · 物理学 2022-12-01 Lukas Herron , Pablo Sartori , BingKan Xue

Metabolic reactions of single-cell organisms are routinely observed to become dispensable or even incapable of carrying activity under certain circumstances. Yet, the mechanisms as well as the range of conditions and phenotypes associated…

分子网络 · 定量生物学 2009-01-21 Takashi Nishikawa , Natali Gulbahce , Adilson E. Motter

The nonequilibrium dynamics of molecular devices is studied in the framework of a generic model for single-molecule transistors: a resonant level coupled by displacement to a single vibrational mode. In the limit of a broad level and in the…

强关联电子 · 物理学 2013-03-28 Yuval Vinkler , Avraham Schiller , Natan Andrei

Simplified stochastic models are widely used in the study of frequency-resolved noise propagation in biochemical reaction networks, a common measure being the coherence between random fluctuations in molecule number trajectories. Such…

分子网络 · 定量生物学 2025-11-03 Juan David Marmolejo Lozano , Nikola Popovic , Ramon Grima

It has long been hypothesized that futile cycles in cellular metabolism are involved in the regulation of biochemical pathways. Following the work of Newsholme and Crabtree, we develop a quantitative theory for this idea based on…

亚细胞过程 · 定量生物学 2007-05-23 Hong Qian , Daniel A. Beard

The concept of limiting step gives the limit simplification: the whole network behaves as a single step. However, in its simplest form this idea is applicable only to the simplest linear cycles in steady states. For such the simplest cycles…

化学物理 · 物理学 2008-06-23 A. N. Gorban , O. Radulescu

To develop a minimal model for a cell moving in a crowded environment such as in tissue, we investigate the response of a liquid drop of active matter moving on a flat rigid substrate to forces applied at its boundaries. We consider two…

软凝聚态物质 · 物理学 2022-11-24 Aondoyima Ioratim-Uba , Aurore Loisy , Silke Henkes , Tanniemola B. Liverpool

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

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…

无序系统与神经网络 · 物理学 2025-05-29 Antonio Politi , Alessandro Torcini

Complex networks have been shown to be robust against random structural perturbations, but vulnerable against targeted attacks. Robustness analysis usually simulates the removal of individual or sets of nodes, followed by the assessment of…

分子网络 · 定量生物学 2012-11-13 Oriol Güell , Francesc Sagués , Georg Basler , Zoran Nikoloski , M. Ángeles Serrano

This article describes a numerical procedure designed to tune the parameters of periodically-driven dynamical systems to a state in which they exhibit rich dynamical behavior. This is achieved by maximizing the diversity of subharmonic…

混沌动力学 · 物理学 2017-02-13 Leandro M. Alonso

In a recent paper it was shown that, for chemical reaction networks possessing a subtle structural property called concordance, dynamical behavior of a very circumscribed (and largely stable) kind is enforced, so long as the kinetics lies…

分子网络 · 定量生物学 2012-04-26 Guy Shinar , Martin Feinberg

The relationship between components of biochemical network and the resulting dynamics of the overall system is a key focus of computational biology. However, as these networks and resulting mathematical models are inherently complex and…

分子网络 · 定量生物学 2015-02-13 Simon West , Lloyd J. Bridge , Michael R. H. White , Pawel Paszek , Vadim N. Biktashev

We investigate the stability properties of two different classes of metabolic cycles using a combination of analytical and computational methods. Using principles from structural kinetic modeling (SKM), we show that the stability of…

分子网络 · 定量生物学 2010-07-29 Ed Reznik , Daniel Segrè

We study a model of synthetic molecular motor - a [3]-catenane consisting of two small macrocycles mechanically interlocked with a bigger one - subjected to a time-dependent driving using stochastic thermodynamics. The model presents…

统计力学 · 物理学 2023-06-28 Massimo Bilancioni , Massimiliano Esposito , Emanuele Penocchio

Low-order frequency response models for power systems have a decades-long history in optimization and control problems such as unit commitment, economic dispatch, and wide-area control. With a few exceptions, these models are built upon the…

系统与控制 · 电气工程与系统科学 2025-11-10 Marena Trujillo , Amir Sajadi , Bri-Mathias Hodge

The regulation of metabolic activity by tuning enzyme expression levels is crucial to sustain cellular growth in changing environments. Metabolic networks are often studied at steady state using constraint-based models and optimization…

分子网络 · 定量生物学 2014-10-24 Steffen Waldherr , Diego A. Oyarzún , Alexander Bockmayr

This paper presents a stability test for a class of interconnected nonlinear systems motivated by biochemical reaction networks. One of the main results determines global asymptotic stability of the network from the diagonal stability of a…

定量方法 · 定量生物学 2007-05-23 Murat Arcak , Eduardo D. Sontag

Temporal modulation unlocks possibilities to dynamically control and modify the response of electromagnetic systems. Employing explicit dependencies of circuit or surface parameters on time enables the engineering of systems with…

系统与控制 · 电气工程与系统科学 2023-03-01 Grigorii Ptitcyn , Mohammad Sajjad Mirmoosa , Silvi Hrabar , Sergey Tretyakov