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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

ALAMO is a computational methodology for leaning algebraic functions from data. Given a data set, the approach begins by building a low-complexity, linear model composed of explicit non-linear transformations of the independent variables.…

Machine Learning · Computer Science 2017-06-01 Zachary T. Wilson , Nikolaos V. Sahinidis

The inherent complexity of biological systems gives rise to complicated mechanistic models with a large number of parameters. On the other hand, the collective behavior of these systems can often be characterized by a relatively small…

Quantitative Methods · Quantitative Biology 2016-06-15 Mark K. Transtrum , Peng Qiu

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…

Systems and Control · Electrical Eng. & Systems 2025-09-03 Chunyu Pan , Xizhe Zhang , Haoyu Zheng , Zhao Su , Changsheng Zhang , Weixiong Zhang

Protein-Protein Interaction Networks aim to model the interactome, providing a powerful tool for understanding the complex relationships governing cellular processes. These networks have numerous applications, including functional…

Molecular Networks · Quantitative Biology 2023-10-05 Rodrigo Henrique Ramos , Cynthia de Oliveira Lage Ferreira , Adenilso Simao

Investigating the relation between the structure and behavior of complex biological networks often involves posing the following two questions: Is a hypothesized structure of a regulatory network consistent with the observed behavior? And…

Quantitative Methods · Quantitative Biology 2010-05-20 Grégory Batt , Michel Page , Irene Cantone , Gregor Goessler , Pedro T. Monteiro , Hidde De Jong

One of the aims of systems biology is to build multiple layered and multiple scale models of living systems which can efficiently describe phenomena occurring at various level of resolution. Such models should consist of layers of various…

Dynamical Systems · Mathematics 2015-03-03 Jacek Banasiak , Aleksandra Falkiewicz , Proscovia Namayanja

We use topological data analysis as a tool to analyze the fit of mathematical models to experimental data. This study is built on data obtained from motion tracking groups of aphids in [Nilsen et al., PLOS One, 2013] and two random walk…

Quantitative Methods · Quantitative Biology 2018-11-13 M. Ulmer , Lori Ziegelmeier , Chad M. Topaz

Parametric models abstract part of the specification of dynamical models by integral parameters. They are for example used in computational systems biology, notably with parametric regulatory networks, which specify the global architecture…

Logic in Computer Science · Computer Science 2018-11-30 Stefan Haar , Juraj Kolčák , Loïc Paulevé

Topology transcends boundaries that conventionally delineate physical, biological and engineering sciences. Our ability to mathematically describe topology, combined with our access to precision tracking and manipulation approaches, has…

Biological Physics · Physics 2021-01-01 Anupam Sengupta

A common feature of biological networks is the geometric property of self-similarity. Molecular regulatory networks through to circulatory systems, nervous systems, social systems and ecological trophic networks, show self-similar…

Molecular Networks · Quantitative Biology 2012-03-09 Simon DeDeo , David C. Krakauer

While Artificial Neural Networks (ANNs) have yielded impressive results in the realm of simulated intelligent behavior, it is important to remember that they are but sparse approximations of Biological Neural Networks (BNNs). We go beyond…

Neural and Evolutionary Computing · Computer Science 2021-03-30 Krishna Katyal , Jesse Parent , Bradly Alicea

Despite their widespread utility across domains, basic network models face fundamental limitations when applied to complex biological systems, particularly in neuroscience. This paper critically examines these limitations and explores…

Other Quantitative Biology · Quantitative Biology 2024-11-07 Luiz Pessoa

Aligning protein interaction networks (PPI) of two or more organisms consists of finding a mapping of the nodes (proteins) of the networks that captures important structural and functional associations (similarity). It is a well studied but…

Molecular Networks · Quantitative Biology 2020-10-12 Concettina Guerra , Pietro Hiram Guzzi

This article discusses how the individual morphological properties of basic objects (e.g. neurons, molecules and aggregates), jointly with their particular spatial distribution, can determine the connectivity and dynamics of systems…

Molecular Networks · Quantitative Biology 2007-05-23 Luciano da Fontoura Costa

Due to the scarcity of quantitative details about biological phenomena, quantitative modeling in systems biology can be compromised, especially at the subcellular scale. One way to get around this is qualitative modeling because it requires…

Molecular Networks · Quantitative Biology 2019-03-22 Arnaud Poret , Claudio Monteiro Sousa , Jean-Pierre Boissel

Understanding the complexity of biological neural networks like the human brain is one of the scientific challenges of our century. The organization of the brain can be described at different levels, ranging from small neural networks to…

Neurons and Cognition · Quantitative Biology 2018-05-23 Stefano De Blasi

The tuning process of a large apparatus of many components could be represented and quantified by constructing parameter-tuning networks. The experimental tuning of the ion source of the neutral beam injector of HT-7 Tokamak is presented as…

Plasma Physics · Physics 2008-09-28 Xiao-Pu Han , Chun-Dong Hu , Zhi-Min Liu , Bing-Hong Wang

Deep learning has achieved remarkable success across many domains, but it has also created a growing demand for interpretability in model predictions. Although many explainable machine learning methods have been proposed, post-hoc…

Machine Learning · Computer Science 2026-01-28 Shijian Xu , Marcello Massimo Negri , Volker Roth

Biomolecular networks have already found great utility in characterizing complex biological systems arising from pair-wise interactions amongst biomolecules. Here, we review how graph theoretical approaches can be applied not only for a…

Molecular Networks · Quantitative Biology 2018-12-03 Heeralal Janwa , Steven E. Massey , Julian Velev , Bud Mishra