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Collective behaviors that emerge from interactions are fundamental to numerous biological systems. To learn such interacting forces from observations, we introduce a measure-valued neural network that infers measure-dependent interaction…

Numerical Analysis · Mathematics 2026-04-08 Liyao Lyu , Xinyue Yu , Hayden Schaeffer

Diseases involve complex processes and modifications to the cellular machinery. The gene expression profile of the affected cells contains characteristic patterns linked to a disease. Hence, biological knowledge pertaining to a disease can…

Quantitative Methods · Quantitative Biology 2020-04-13 Thomas Gaudelet , Noel Malod-Dognin , Jon Sanchez-Valle , Vera Pancaldi , Alfonso Valencia , Natasa Przulj

Recent years have seen a lot of progress in algorithms for learning parameters of spreading dynamics from both full and partial data. Some of the remaining challenges include model selection under the scenarios of unknown network structure,…

Social and Information Networks · Computer Science 2024-01-02 Mateusz Wilinski , Andrey Y. Lokhov

This paper investigates the dynamics of infectious diseases with a non-exponentially distributed infectious period. This is achieved by considering a multi-stage infection model on networks. Using pairwise approximation with a standard…

Physics and Society · Physics 2015-11-23 N. Sherborne , K. B. Blyuss , I. Z. Kiss

Infectious disease outbreaks recapitulate biology: they emerge from the multi-level interaction of hosts, pathogens, and their shared environment. As a result, predicting when, where, and how far diseases will spread requires a complex…

Physics and Society · Physics 2018-10-11 Samuel V. Scarpino , Giovanni Petri

Networks have in recent years emerged as an invaluable tool for describing and quantifying complex systems in many branches of science. Recent studies suggest that networks often exhibit hierarchical organization, where vertices divide into…

Machine Learning · Statistics 2008-11-05 Aaron Clauset , Cristopher Moore , M. E. J. Newman

Cancer is a complex disease driven by dynamic regulatory shifts that cannot be fully captured by individual molecular profiling. We employ a data-driven approach to construct a coarse-grained dynamic network model based on hallmark…

Quantitative Methods · Quantitative Biology 2025-02-28 Jiahe Wang , Yan Wu , Yuke Hou , Yang Li , Dachuan Xu , Changjing Zhuge , Yue Han

The study of interacting dynamical systems continues to attract research interest in various fields of science and engineering. In a collection of interacting particles, the interaction network contains information about how various…

Dynamical Systems · Mathematics 2023-11-07 Pawan R. Bhure , M. S. Santhanam

Networks are universally considered as complex structures of interactions of large multi-component systems. In order to determine the role that each node has inside a complex network, several centrality measures have been developed. Such…

Physics and Society · Physics 2019-08-20 Malbor Asllani , Bruno Requiao da Cunha , Ernesto Estrada , James P. Gleeson

The use of networks to integrate different genetic, proteomic, and metabolic datasets has been proposed as a viable path toward elucidating the origins of specific diseases. Here we introduce a new phenotypic database summarizing…

Biological Physics · Physics 2015-05-14 Cesar A. Hidalgo , Nicholas Blumm , Albert-Laszlo Barabasi , Nicholas Christakis

Networks with different levels of interactions, including multilayer and multiplex networks, can display a rich diversity of dynamical behaviors and can be used to model and study a wide range of systems. Despite numerous efforts to…

Dynamical Systems · Mathematics 2023-10-09 Priya B. Jain , Tung T. Nguyen , Ján Mináč , Lyle E. Muller , Roberto C. Budzinski

Synchronization is a universal phenomenon found in many non-equilibrium systems. Much recent interest in this area has overlapped with the study of complex networks, where a major focus is determining how a system's connectivity patterns…

Adaptation and Self-Organizing Systems · Physics 2015-08-19 Jason Hindes , Christopher R. Myers

Many dynamical processes of complex systems can be understood as the dynamics of a group of nodes interacting on a given network structure. However, finding such interaction structure and node dynamics from time series of node behaviours is…

Physics and Society · Physics 2022-06-28 Yan Zhang , Yu Guo , Zhang Zhang , Mengyuan Chen , Shuo Wang , Jiang Zhang

Contagion processes are strongly linked to the network structures on which they propagate, and learning these structures is essential for understanding and intervention on complex network processes such as epidemics and (mis)information…

Social and Information Networks · Computer Science 2019-08-12 Caitlin Gray , Lewis Mitchell , Matthew Roughan

Complex networks describe a wide range of systems in nature and society, much quoted examples including the cell, a network of chemicals linked by chemical reactions, or the Internet, a network of routers and computers connected by physical…

Statistical Mechanics · Physics 2016-08-31 Reka Albert , Albert-Laszlo Barabasi

Networks of coupled phase oscillators are one of the most studied dynamical systems with numerous applications in physics, chemistry, biology, and engineering. Their behaviour is often characterized by the emergence of various partially…

Pattern Formation and Solitons · Physics 2026-02-27 Oleh E. Omel'chenko

Controlling infectious diseases is a major health priority because they can spread and infect humans, thus evolving into epidemics or pandemics. Therefore, early detection of infectious diseases is a significant need, and many researchers…

Machine Learning · Computer Science 2022-06-16 Eman Yahia Alqaissi , Fahd Saleh Alotaibi , Muhammad Sher Ramzan

The relationship between network topology and system dynamics has significant implications for unifying our understanding of the interplay among metabolic, gene-regulatory, and ecosystem network architecures. Here we analyze the stability…

Populations and Evolution · Quantitative Biology 2015-06-17 Cameron Smith , Raymond S. Puzio , Aviv Bergman

A standard technique for understanding underlying dependency structures among a set of variables posits a shared conditional probability distribution for the variables measured on individuals within a group. This approach is often referred…

Machine Learning · Statistics 2014-05-13 Elham Azizi , James E. Galagan , Edoardo M. Airoldi

The transmission dynamics of some infectious diseases is related to the contact structure between individuals in a network. We used five algorithms to generate contact networks with different topological structure but with the same…

Populations and Evolution · Quantitative Biology 2013-08-28 Raul Ossada , José H. H. Grisi-Filho , Fernando Ferreira , Marcos Amaku
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