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In living cells, chemical reactions form a complex network. Complicated dynamics arising from such networks are the origins of biological functions. We propose a novel mathematical method to analyze bifurcation behaviors of a reaction…

分子网络 · 定量生物学 2018-08-08 Takashi Okada , Je-Chiang Tsai , Atsushi Mochizuki

In the study of grain-surface chemistry in the interstellar medium, there exists much uncertainty regarding the reaction mechanisms with few constraints on the abundances of grain-surface molecules. Bayesian inference can be performed to…

星系天体物理 · 物理学 2020-12-07 Johannes Heyl , Serena Viti , Jonathan Holdship , Stephen M. Feeney

In this paper, the class of random irregular block-hierarchical networks is defined and algorithms for generation and calculation of network properties are described. The algorithms presented for this class of networks are more efficient…

数据结构与算法 · 计算机科学 2018-05-04 Svetlana Avetisyan , Mikayel Samvelyan , Martun Karapetyan

A recent study characterizing failures in computer networks shows that transient single element (node/link) failures are the dominant failures in large communication networks like the Internet. Thus, having the routing paths globally…

分布式、并行与集群计算 · 计算机科学 2008-11-11 Amit M. Bhosle , Teofilo F. Gonzalez

We introduce the notion of corresponding a chemical reaction network to a split network translation, and use this novel process to extend the scope of existing network-based theory for characterizing the steady state set of mass-action…

动力系统 · 数学 2021-04-09 Matthew D. Johnston

Mixture models are probabilistic models aimed at uncovering and representing latent subgroups within a population. In the realm of network data analysis, the latent subgroups of nodes are typically identified by their connectivity…

统计方法学 · 统计学 2020-05-27 Giacomo De Nicola , Benjamin Sischka , Göran Kauermann

This paper addresses the decomposition of biochemical networks into functional modules that preserve their dynamic properties upon interconnection with other modules, which permits the inference of network behavior from the properties of…

分子网络 · 定量生物学 2014-12-03 Hari Sivakumar , Stephen R. Proulx , João P. Hespanha

The brain is not only constrained by energy needed to fuel computation, but it is also constrained by energy needed to form memories. Experiments have shown that learning simple conditioning tasks already carries a significant metabolic…

神经与进化计算 · 计算机科学 2026-04-17 Mark CW van Rossum

We mathematically prove that chemical reaction networks without hidden layers can solve tasks for which spiking neural networks require hidden layers. Our proof uses the deterministic mass-action kinetics formulation of chemical reaction…

机器学习 · 计算机科学 2026-03-13 Sophie Jaffard , Ivo F. Sbalzarini

Conserved moieties are groups of atoms that remain intact in all reactions of a metabolic network. Identification of conserved moieties gives insight into the structure and function of metabolic networks and facilitates metabolic modelling.…

分子网络 · 定量生物学 2017-02-08 Hulda S. Haraldsdóttir , Ronan M. T. Fleming

Due to data privacy issues, accelerating networks with tiny training sets has become a critical need in practice. Previous methods mainly adopt filter-level pruning to accelerate networks with scarce training samples. In this paper, we…

计算机视觉与模式识别 · 计算机科学 2023-03-14 Guo-Hua Wang , Jianxin Wu

To understand the system-wide organization of metabolism, different lines of study have devised different categorizations of metabolites. The relationship and difference between categories can provide new insights for a more detailed…

分子网络 · 定量生物学 2009-07-24 Jing Zhao , Petter Holme

We present an elaborate framework for formally modelling pathways in chemical reaction networks on a mechanistic level. Networks are modelled mathematically as directed multi-hypergraphs, with vertices corresponding to molecules and…

分子网络 · 定量生物学 2017-12-08 Jakob L. Andersen , Christoph Flamm , Daniel Merkle , Peter F. Stadler

Biological networks have evolved to be highly functional within uncertain environments while remaining extremely adaptable. One of the main contributors to the robustness and evolvability of biological networks is believed to be their…

分子网络 · 定量生物学 2008-02-14 Arend Hintze , Christoph Adami

A frequently studied performance measure in online optimization is competitive analysis. It corresponds to the worst-case ratio, over all possible inputs of an algorithm, between the performance of the algorithm and the optimal offline…

最优化与控制 · 数学 2024-05-30 Antoine Lhomme , Nicolas Catusse , Nadia Brauner

Modeling and optimization of metabolic networks has been one of the hottest topics in computational systems biology within recent years. However, the complexity and uncertainty of these networks in addition to the lack of necessary data has…

分子网络 · 定量生物学 2014-07-01 Erfan Khaji , Mahsa Mortazavi

A variety of natural phenomena comprises a huge number of competing reactions and short-lived intermediates. Any study of such processes requires the discovery and accurate modeling of their underlying reaction network. However, this task…

化学物理 · 物理学 2014-05-27 Paolo Elvati , Angela Violi

Stochasticity is a key characteristic of intracellular processes such as gene regulation and chemical signalling. Therefore, characterising stochastic effects in biochemical systems is essential to understand the complex dynamics of living…

分子网络 · 定量生物学 2019-03-04 David J. Warne , Ruth E. Baker , Matthew J. Simpson

An analysis of the network defined by the potential energy minima of multi-atomic systems and their connectivity via reaction pathways that go through transition states allows to understand important characteristics like thermodynamic,…

材料科学 · 物理学 2016-08-03 Bastian Schaefer , Stefan Goedecker

Understanding how the dynamics of neural networks is shaped by the computations they perform is a fundamental question in neuroscience. Recently, the framework of efficient coding proposed a theory of how spiking neural networks can compute…

神经元与认知 · 定量生物学 2022-10-25 Veronika Koren , Stefano Panzeri