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To explain the differentiation of stem cells in terms of dynamical systems theory, models of interacting cells with intracellular protein expression dynamics are analyzed and simulated. Simulations were carried out for all possible protein…

细胞行为 · 定量生物学 2015-06-15 Yusuke Goto , Kunihiko Kaneko

A stochastic reaction-diffusion model is studied on a networked support. In each patch of the network two species are assumed to interact following a non-normal reaction scheme. When the interaction unit is replicated on a directed linear…

In this paper we present a network model to study the impact of spatial distribution of constituents, coupling between them and diffusive processes in the context of biological situations. The model is in terms of network of mobile elements…

分子网络 · 定量生物学 2007-05-23 Kanchan Thadani , Ashutosh

Real-world network systems are inherently dynamic, with network topologies undergoing continuous changes over time. Previous works often focus on static networks or rely on complete prior knowledge of evolving topologies, whereas real-world…

系统与控制 · 电气工程与系统科学 2025-09-03 Chunyu Pan , Xizhe Zhang , Haoyu Zheng , Zhao Su , Changsheng Zhang , Weixiong Zhang

In this report trial-to-trial variations in the synchronized responses of neural networks are offered as evidence for excitation-inhibition ratio being a dynamic variable over time scales of minutes. Synchronized network responses to…

神经元与认知 · 定量生物学 2015-01-05 Netta Haroush , Shimon Marom

Perturbations are ubiquitous in metabolism. A central tool to understand and control their influence on metabolic networks is sensitivity analysis, which investigates how the network responds to external perturbations. We follow here a…

分子网络 · 定量生物学 2021-11-29 Nicola Vassena

Modeling biological networks serves as both a major goal and an effective tool of systems biology in studying mechanisms that orchestrate the activities of gene products in cells. Biological networks are context specific and dynamic in…

We use a biophysical model of a local neuronal circuit to study the implications of synaptic plasticity for the detection of weak sensory stimuli. Networks with fast plastic coupling show behavior consistent with stochastic resonance.…

神经元与认知 · 定量生物学 2009-11-13 Vladislav Volman , Herbert Levine

Many recent generative models make use of neural networks to transform the probability distribution of a simple low-dimensional noise process into the complex distribution of the data. This raises the question of whether biological networks…

神经与进化计算 · 计算机科学 2018-02-07 Hesham Mostafa , Gert Cauwenberghs

A reaction network is a chemical system involving multiple reactions and chemical species. Stochastic models of such networks treat the system as a continuous time Markov chain on the number of molecules of each species with reactions as…

概率论 · 数学 2007-05-23 Karen Ball , Thomas G. Kurtz , Lea Popovic , Greg Rempala

The innate immune system, acting as the first line of host defense, senses and adapts to foreign challenges through complex intracellular and intercellular signaling networks. Endotoxin tolerance and priming elicited by macrophages are…

分子网络 · 定量生物学 2017-08-23 Yan Fu , Trevor Glaros , Meng Zhu , Ping Wang , Zhanghan Wu , John J Tyson , Liwu Li , Jianhua Xing

Adaptation plays a fundamental role in shaping the structure of a complex network and improving its functional fitting. Even when increasing the level of synchronization in a biological system is considered as the main driving force for…

物理与社会 · 物理学 2018-04-11 Vanesa Avalos-Gaytán , J. A. Almendral , I. Leyva , F. Battiston , V. Nicosia , V. Latora , S. Boccaletti

The sensitivity analysis of biological system models can significantly contribute to identifying and explaining influences of internal or external changes on model and its elements. We propose here a comprehensive framework to study…

分子网络 · 定量生物学 2019-02-11 Gaoxiang Zhou , Kai-Wen Liang , Natasa Miskov-Zivanov

The propagation of signalling molecules within cellular networks is affected by network topology, but also by the spatial arrangement of cells in the networks. Understanding the collective reaction--diffusion behaviour in space of signals…

无序系统与神经网络 · 物理学 2025-01-09 Adel Mehrpooya , Vivien J. Challis , Pascal R. Buenzli

This paper presents an algebraic framework to study sign-sensitivities for reaction networks modeled by means of systems of ordinary differential equations. Specifically, we study the sign of the derivative of the concentrations of the…

分子网络 · 定量生物学 2019-09-02 Elisenda Feliu

Apoptosis is a mechanism of programmed cell death in which cells engage in a controlled demolition and prepare to be digested without damaging their environment. In normal conditions apoptosis is repressed, until it is irreversibly induced…

分子网络 · 定量生物学 2021-05-18 Sol M. Fernández Arancibia , Hernán E. Grecco , Luis G. Morelli

Biological flow networks adapt their network morphology to optimise flow while being exposed to external stimuli from different spatial locations in their environment. These adaptive flow networks retain a memory of the stimulus location in…

软凝聚态物质 · 物理学 2023-04-12 Komal Bhattacharyya , David Zwicker , Karen Alim

We present a new experimental-computational technology of inferring network models that predict the response of cells to perturbations and that may be useful in the design of combinatorial therapy against cancer. The experiments are…

Transport networks are crucial for the functioning of natural and technological systems. We study a mathematical model of vascular network adaptation, where the network structure dynamically adjusts to changes in blood flow and pressure.…

适应与自组织系统 · 物理学 2023-06-01 Konstantin Klemm , Erik Andreas Martens

We propose to model the dynamics of metabolic networks from a systems biology point of view by four dynamical structure elements: potential function, transverse matrix, degradation matrix, and stochastic force. These four elements are…

分子网络 · 定量生物学 2007-05-23 P. Ao