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The uniform sampling of convex polytopes is an interesting computational problem with many applications in inference from linear constraints, but the performances of sampling algorithms can be affected by ill-conditioning. This is the case…

Statistical Mechanics · Physics 2014-10-09 Daniele De Martino , Matteo Mori , Valerio Parisi

We present a solution to real-world train scheduling problems, involving routing, scheduling, and optimization, based on Answer Set Programming (ASP). To this end, we pursue a hybrid approach that extends ASP with difference constraints to…

Artificial Intelligence · Computer Science 2021-07-01 Dirk Abels , Julian Jordi , Max Ostrowski , Torsten Schaub , Ambra Toletti , Philipp Wanko

The exploration of the structural topology and the organizing principles of genome-based large-scale metabolic networks is essential for studying possible relations between structure and functionality of metabolic networks. Topological…

Molecular Networks · Quantitative Biology 2007-05-23 Jing Zhao , Hong Yu , Jian-Hua Luo , Zhi-Wei Cao , Yi-Xue Li

The analysis of the structure of chemical reaction networks is crucial for a better understanding of chemical processes. Such networks are well described as hypergraphs. However, due to the available methods, analyses regarding network…

Computational Complexity · Computer Science 2013-09-30 Rolf Fagerberg , Christoph Flamm , Daniel Merkle , Philipp Peters , Peter F. Stadler

Analyzing qualitative behaviors of biochemical reactions using its associated network structure has proven useful in diverse branches of biology. As an extension of our previous work, we introduce a graph-based framework to calculate steady…

Classical Analysis and ODEs · Mathematics 2014-04-28 Inom Mirzaev , David Matthew Bortz

Adaptive networks have been recently introduced in the context of disease propagation on complex networks. They account for the mutual interaction between the network topology and the states of the nodes. Until now, existing models have…

Statistical Mechanics · Physics 2010-09-28 Vincent Marceau , Pierre-André Noël , Laurent Hébert-Dufresne , Antoine Allard , Louis J. Dubé

Model reduction of fast-slow chemical reaction networks based on the quasi-steady state approximation fails when the fast subsystem has first integrals. We call these first integrals approximate conservation laws. In order to define fast…

Multilayer networks offer a powerful framework for modeling complex systems across diverse domains, effectively capturing multiple types of connections and interdependent subsystems commonly found in real world scenarios. To analyze these…

Social and Information Networks · Computer Science 2026-02-20 Martin Guillemaud , Vera Dinkelacker , Mario Chavez

Network translation has recently been used to establish steady state properties of mass action systems by corresponding the given system to a generalized one which is either dynamically or steady state equivalent. In this work we further…

Dynamical Systems · Mathematics 2018-08-14 Elisa Tonello , Matthew D. Johnston

Resilience and robustness are important properties in the reliability and attack-tolerance analysis of networks. In recent decades, various qualitative and heuristic-based quantitative approaches have made significant contributions in…

Optimization and Control · Mathematics 2022-12-15 Milad Dehghani Filabadi

Systems Biology is a fundamental field and paradigm that introduces a new era in Biology. The crux of its functionality and usefulness relies on metabolic networks that model the reactions occurring inside an organism and provide the means…

Quantitative Methods · Quantitative Biology 2022-06-03 Apostolos Chalkis , Vissarion Fisikopoulos , Elias Tsigaridas , Haris Zafeiropoulos

This Thesis presents research at the boundary between Statistical Physics and Biology. First, we have devised a class of Boolean constraint satisfaction problems (CSP) whose solutions describe the feasible operational states of a chemical…

Molecular Networks · Quantitative Biology 2019-08-15 Alessandro Seganti

Several social, medical, engineering and biological challenges rely on discovering the functionality of networks from their structure and node metadata, when it is available. For example, in chemoinformatics one might want to detect whether…

Machine Learning · Computer Science 2018-11-26 Leonardo Gutierrez Gomez , Jean-Charles Delvenne

Metabolite structure identification has become the major bottleneck of the mass spectrometry based metabolomics research. Till now, number of mass spectra databases and search algorithms have been developed to address this issue. However,…

Quantitative Methods · Quantitative Biology 2021-01-12 Hansen Zhao , Xu Zhao , Huan Yao , Jiaxin Feng , Sichun Zhang , Xinrong Zhang

The design and implementation of regulation motifs ensuring robust perfect adaptation are challenging problems in synthetic biology. Indeed, the design of high-yield robust metabolic pathways producing, for instance, drug precursors and…

Optimization and Control · Mathematics 2021-12-21 Corentin Briat , Christoph Zechner , Mustafa Khammash

Models of biochemical networks are usually presented as connected graphs where vertices indicate proteins and edges are drawn to indicate activation or inhibition relationships. These diagrams are useful for drawing qualitative conclusions…

Dynamical Systems · Mathematics 2023-09-29 Chathranee Jayathilaka , Robyn Araujo , Lan Nguyen , Mark Flegg

Incomplete knowledge of metabolic processes hinders the accuracy of GEnome-scale Metabolic models (GEMs), which in turn impedes advancements in systems biology and metabolic engineering. Existing gap-filling methods typically rely on…

Molecular Networks · Quantitative Biology 2024-09-23 Xiaoyi Liu , Hongpeng Yang , Chengwei Ai , Ruihan Dong , Yijie Ding , Qianqian Yuan , Jijun Tang , Fei Guo

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…

Molecular Networks · Quantitative Biology 2012-11-13 Oriol Güell , Francesc Sagués , Georg Basler , Zoran Nikoloski , M. Ángeles Serrano

We review a recent trend in computational systems biology which aims at using pattern recognition algorithms to infer the structure of large-scale biological networks from heterogeneous genomic data. We present several strategies that have…

Quantitative Methods · Quantitative Biology 2008-09-22 Jean-Philippe Vert

We present a new use of Answer Set Programming (ASP) to discover the molecular structure of chemical samples based on the relative abundance of elements and structural fragments, as measured in mass spectrometry. To constrain the…

Logic in Computer Science · Computer Science 2026-02-25 Nils Küchenmeister , Alex Ivliev , Markus Krötzsch
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