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Many cellular behaviors are regulated by gene regulation networks, kinetics of which is one of the main subjects in the study of systems biology. Because of the low number molecules in these reacting systems, stochastic effects are…

定量方法 · 定量生物学 2011-04-26 Jinzhi Lei

We study a genetic regulatory network model developed to demonstrate that genetic robustness can evolve through stabilizing selection for optimal phenotypes. We report preliminary results on whether such selection could result in a…

分子网络 · 定量生物学 2010-12-07 Volkan Sevim , Per Arne Rikvold

Reconstruction of gene regulatory networks is the process of identifying gene dependency from gene expression profile through some computation techniques. In our human body, though all cells pose similar genetic material but the activation…

Homeostasis of protein concentrations in cells is crucial for their proper functioning, and this requires concentrations (at their steady-state levels) to be stable to fluctuations. Since gene expression is regulated by proteins such as…

生物物理 · 物理学 2020-11-10 Yipei Guo , Ariel Amir

The study of fluctuations in gene regulatory networks is extended to the case of Gaussian colored noise. Firstly, the solution of the corresponding Langevin equation with colored noise is expressed in terms of an Ito integral. Then, two…

分子网络 · 定量生物学 2015-05-14 Ming-Chang Huang , Jinn-Wen Wu , Yu-Pin Luo , Karen G. Petrosyan

Based on a non-equilibrium mechanism for spatial pattern formation we study how position information can be controlled by locally coupled discrete dynamical networks, similar to gene regulation networks of cells in a developing…

分子网络 · 定量生物学 2009-08-26 Thimo Rohlf , Stefan Bornholdt

Genetic regulatory networks enable cells to respond to the changes in internal and external conditions by dynamically coordinating their gene expression profiles. Our ability to make quantitative measurements in these biochemical circuits…

生物物理 · 物理学 2015-03-17 Aleksandra M Walczak , Gašper Tkačik

We describe an approach to model genetic regulatory networks at the level of promotion-inhibition circuitry through a class of stochastic spin models that includes spatial and temporal density fluctuations in a natural way. The formalism…

统计力学 · 物理学 2018-03-08 J. Ricardo G. Mendonça , Mário J. de Oliveira

Genes are connected in regulatory networks, often modelled by ordinary differential equations. Changes in expression of a gene propagate to other genes along paths in the network. At a stable state, the system's Jacobian matrix confers…

分子网络 · 定量生物学 2014-11-03 Arne B. Gjuvsland , Erik Plahte

Despite the huge number of neurons composing a brain network, ongoing activity of local cell assemblies composing cortical columns is intrinsically stochastic. Fluctuations in their instantaneous rate of spike firing $\nu(t)$ scale with the…

神经元与认知 · 定量生物学 2024-04-15 Gianni V. Vinci , Roberto Benzi , Maurizio Mattia

Biological structure and function depend on complex regulatory interactions between many genes. A wealth of gene expression data is available from high-throughput genome-wide measurement technologies, but effective gene regulatory network…

分子网络 · 定量生物学 2016-03-28 Arwen Vanice Bradley , Ye Henry Li , Bokyung Choi , Wing Hung Wong

Expression of cellular genes is regulated by binding of transcription factors to their promoter, either activating or inhibiting transcription of a gene. Particularly interesting is the case when the expressed protein regulates its own…

分子网络 · 定量生物学 2016-11-28 Martin Jansen

A common model of stochastic auto-regulatory gene expression describes promoter switching via cooperative protein binding, effective protein production in the active state and dilution of proteins. Here we consider an extension of this…

亚细胞过程 · 定量生物学 2020-04-07 James Holehouse , Abhishek Gupta , Ramon Grima

Gene expression-based heterogeneity analysis has been extensively conducted. In recent studies, it has been shown that network-based analysis, which takes a system perspective and accommodates the interconnections among genes, can be more…

统计方法学 · 统计学 2023-08-09 Rong Li , Qingzhao Zhang , Shuangge Ma

The theory of Balanced Neural Networks is a very popular explanation for the high degree of variability and stochasticity in the brain's activity. Roughly speaking, it entails that typical neurons receive many excitatory and inhibitory…

概率论 · 数学 2025-05-27 James MacLaurin , Pedro Vilanova

We present a simple analytical tool which gives an approximate insight into the stationary behavior of nonlinear systems undergoing the influence of a weak and rapid noise from one dominating source, e.g. the kinetic equations describing a…

定量方法 · 定量生物学 2008-08-13 Anna Ochab-Marcinek

One of the characteristic features of genetic networks is their inherent robustness, that is, their ability to retain functionality in spite of the introduction of random errors. In this paper, we seek to better understand how robustness is…

分子网络 · 定量生物学 2009-04-29 Arnab Bhattacharyya , Bernhard Haeupler

Networked dynamical systems, i.e., systems of dynamical units coupled via nontrivial interaction topologies, constitute models of broad classes of complex systems, ranging from gene regulatory and metabolic circuits in our cells to…

适应与自组织系统 · 物理学 2024-03-12 Xiaozhu Zhang , Marc Timme

Many technologically useful materials are polycrystals composed of small monocrystalline grains that are separated by grain boundaries of crystallites with different lattice orientations. The energetics and connectivities of the grain…

偏微分方程分析 · 数学 2021-06-29 Yekaterina Epshteyn , Chun Liu , Masashi Mizuno

This paper considers the network flow stabilization problem in power systems and adopts an output regulation viewpoint. Building upon the structure of a heterogeneous port-Hamiltonian model, we integrate network aspects and develop a…

最优化与控制 · 数学 2018-04-27 Catalin Arghir , Florian Dörfler