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Homeostasis is concerned with regulatory mechanisms, present in biological systems, where some specific variable is kept close to a set value as some external disturbance affects the system. Mathematically, the notion of homeostasis can be…

分子网络 · 定量生物学 2024-05-08 Fernando Antoneli , Martin Golubitsky , Jiaxin Jin , Ian Stewart

Homeostasis is a regulatory mechanism that keeps a specific variable close to a set value as other variables fluctuate. The notion of homeostasis can be rigorously formulated when the model of interest is represented as an input-output…

Homeostasis refers to a phenomenon whereby the output $x_o$ of a system is approximately constant on variation of an input $\mathcal{I}$. Homeostasis occurs frequently in biochemical networks and in other networks of interacting elements…

分子网络 · 定量生物学 2021-05-27 Yangyang Wang , Zhengyuan Huang , Fernando Antoneli , Martin Golubitsky

A biological system achieve homeostasis when there is a regulated quantity that is maintained within a narrow range of values. Here we consider homeostasis as a phenomenon of network dynamics. In this context, we improve a general theory…

分子网络 · 定量生物学 2024-05-08 João Luiz de Oliveira Madeira , Fernando Antoneli

Homeostasis occurs in a biological system when a chosen output variable remains approximately constant despite changes in an input variable. In this work we specifically focus on biological systems which may be represented as chemical…

定量方法 · 定量生物学 2024-07-19 Jiaxin Jin , Grzegorz A. Rempala

Homeostasis is a mechanism by which a feature can remain invariant with change in external parameters. We adopt the definition of homeostasis in the context of singularity theory. We make a connection between homeostasis and the theory of…

动力系统 · 数学 2021-05-04 Gheorghe Craciun , Abhishek Deshpande

In this paper, we use the framework of infinitesimal homeostasis to study general design principles for the occurrence of homeostasis in gene regulatory networks. We assume that the dynamics of the genes explicitly includes both…

分子网络 · 定量生物学 2023-09-14 Fernando Antoneli , Martin Golubitsky , Jiaxin Jin , Ian Stewart

In this paper we investigate the homeostatic mechanism in two biologically motivated models: intracellular copper regulation and self immune recognition. The analysis is based on the notions of infinitesimal homeostasis and near-perfect…

分子网络 · 定量生物学 2022-02-24 Pedro P. A. Cardoso de Andrade , João L. O. Madeira , Fernando Antoneli

Mainstream compilers perform a multitude of analyses and optimizations on the given input program. Each analysis (such as points-to analysis) may generate a program-abstraction (such as points-to graph). Each optimization is typically…

编程语言 · 计算机科学 2024-03-04 Aman Nougrahiya , V. Krishna Nandivada

The need to build a link between the structure of a complex network and the dynamical properties of the corresponding complex system (comprised of multiple low dimensional systems) has recently become apparent. Several attempts to tackle…

混沌动力学 · 物理学 2012-06-18 Michael Small , Kevin Judd , Thomas Stemler

One of the paramount challenges in neuroscience is to understand the dynamics of individual neurons and how they give rise to network dynamics when interconnected. Historically, researchers have resorted to graph theory, statistics, and…

神经元与认知 · 定量生物学 2019-02-08 Jean-Baptiste Bardin , Gard Spreemann , Kathryn Hess

The connection between network topology and stability remains unclear. General approaches that clarify this relationship and allow for more efficient stability analysis would be desirable. Inspired by chemical reaction networks, I…

混沌动力学 · 物理学 2013-09-27 Ali Kinkhabwala

A useful approach to the mathematical analysis of large-scale biological networks is based upon their decompositions into monotone dynamical systems. This paper deals with two computational problems associated to finding decompositions…

分子网络 · 定量生物学 2007-05-23 Bhaskar DasGupta , German Andres Enciso , Eduardo Sontag , Yi Zhang

Network topology inference is a cornerstone problem in statistical analyses of complex systems. In this context, the fresh look advocated here permeates benefits from convex optimization and graph signal processing, to identify the…

社会与信息网络 · 计算机科学 2016-04-12 Santiago Segarra , Antonio G. Marques , Gonzalo Mateos , Alejandro Ribeiro

Thresholding--the pruning of nodes or edges based on their properties or weights--is an essential preprocessing tool for extracting interpretable structure from complex network data, yet existing methods face several key limitations.…

社会与信息网络 · 计算机科学 2025-10-07 Adam Schroeder , Russell Funk , Jingyi Guan , Taylor Okonek , Lori Ziegelmeier

This paper addresses the problem of identifying the graph structure of a dynamical network using measured input/output data. This problem is known as topology identification and has received considerable attention in recent literature. Most…

最优化与控制 · 数学 2020-05-08 Henk J. van Waarde , Pietro Tesi , M. Kanat Camlibel

Soft biological tissues exhibit a tendency to maintain a preferred state of tensile stress, known as tensional homeostasis, which is restored even after external mechanical stimuli. This macroscopic behavior can be described using the…

机器学习 · 计算机科学 2025-01-23 Hagen Holthusen , Tim Brepols , Kevin Linka , Ellen Kuhl

In this work, we explore the state-space formulation of a network process to recover, from partial observations, the underlying network topology that drives its dynamics. To do so, we employ subspace techniques borrowed from system…

信号处理 · 电气工程与系统科学 2019-06-26 Mario Coutino , Elvin Isufi , Takanori Maehara , Geert Leus

Recent genomic and bioinformatic advances have motivated the development of numerous random network models purporting to describe graphs of biological, technological, and sociological origin. The success of a model has been evaluated by how…

In real-world systems, the relationships and connections between components are highly complex. Real systems are often described as networks, where nodes represent objects in the system and edges represent relationships or connections…

代数拓扑 · 数学 2024-06-24 Shen Zhang
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