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Understanding the structural complexity and predictability of complex networks is a central challenge in network science. Although recent studies have revealed a relationship between compression-based entropy and link prediction…

Social and Information Networks · Computer Science 2025-10-14 Sebastián Brzovic , Cristóbal Rojas , Andrés Abeliuk

Systems engineering has developed a mature knowledge on how to design, integrate and manage complex industrial systems, whereas disciplines studying complex systems in nature or society also propose numerous tools for their understanding.…

Computers and Society · Computer Science 2018-05-28 Juste Raimbault

We present a general computational theory of stem cell networks and their developmental dynamics. Stem cell networks are special cases of developmental control networks. Our theory generates a natural classification of all possible stem…

Other Quantitative Biology · Quantitative Biology 2016-07-18 Eric Werner

One of the most important concepts in biological network analysis is that of network motifs, which are patterns of interconnections that occur in a given network at a frequency higher than expected in a random network. In this work we are…

Discrete Mathematics · Computer Science 2020-05-29 Diego P Rubert , Eloi Araujo , Marco A Stefanes , Jens Stoye , Fábio V Martinez

Networked systems display complex patterns of interactions between a large number of components. In physical networks, these interactions often occur along structural connections that link components in a hard-wired connection topology,…

Neurons and Cognition · Quantitative Biology 2018-04-03 Jason Kim , Jonathan M. Soffer , Ari E. Kahn , Jean M. Vettel , Fabio Pasqualetti , Danielle S. Bassett

We present the Thought Graph as a novel framework to support complex reasoning and use gene set analysis as an example to uncover semantic relationships between biological processes. Our framework stands out for its ability to provide a…

Computation and Language · Computer Science 2024-03-13 Chi-Yang Hsu , Kyle Cox , Jiawei Xu , Zhen Tan , Tianhua Zhai , Mengzhou Hu , Dexter Pratt , Tianlong Chen , Ziniu Hu , Ying Ding

Numerous real-world systems can be naturally modeled as multilayer networks, enabling an efficient way to characterize those complex systems. Much evidence in the context of system biology indicated that the collections between different…

Quantitative Methods · Quantitative Biology 2021-07-13 Cheng Yuan , Zu-Yu Qian , Shi-Ming Chen , Sen Nie

Molecular activity prediction is critical in drug design. Machine learning techniques such as kernel methods and random forests have been successful for this task. These models require fixed-size feature vectors as input while the molecules…

Machine Learning · Computer Science 2018-01-30 Trang Pham , Truyen Tran , Svetha Venkatesh

The representation of complex systems as networks is inappropriate for the study of certain problems. We show several examples of social, biological, ecological and technological systems where the use of complex networks gives very limited…

Physics and Society · Physics 2013-04-02 Ernesto Estrada , Juan A. Rodriguez-Velazquez

Random graphs are more and more used for modeling real world networks such as evolutionary networks of proteins. For this purpose we look at two different models and analyze how properties like connectedness and degree distributions are…

Probability · Mathematics 2019-02-05 Klemens Taglieber , Uta Freiberg

Time-discrete dynamical systems on a finite state space have been used with great success to model natural and engineered systems such as biological networks, social networks, and engineered control systems. They have the advantage of being…

Combinatorics · Mathematics 2015-03-17 Alan Veliz-Cuba , Reinhard Laubenbacher

Model biomembrane systems play a crucial role in advancing biomedical research by providing simplified yet effective platforms for exploring complex biological mechanisms. These systems span a wide range of scales, from…

Soft Condensed Matter · Physics 2025-10-01 Ajit Seth , Sajal K. Ghosh , Veerendra K. Sharma

Many of life's most fascinating phenomena emerge from interactions among many elements--many amino acids determine the structure of a single protein, many genes determine the fate of a cell, many neurons are involved in shaping our thoughts…

Quantitative Methods · Quantitative Biology 2011-11-28 Thierry Mora , William Bialek

Networks are widely used in the biological, physical, and social sciences as a concise mathematical representation of the topology of systems of interacting components. Understanding the structure of these networks is one of the outstanding…

Data Analysis, Statistics and Probability · Physics 2007-06-21 M. E. J. Newman , E. A. Leicht

The behavior of complex systems is determined not only by the topological organization of their interconnections but also by the dynamical processes taking place among their constituents. A faithful modeling of the dynamics is essential…

Physics and Society · Physics 2015-05-20 R. Lambiotte , R. Sinatra , J. -C. Delvenne , T. S. Evans , M. Barahona , V. Latora

Probabilistic biological network growth models have been utilized for many tasks including but not limited to capturing mechanism and dynamics of biological growth activities, null model representation, capturing anomalies, etc. Well-known…

Molecular Networks · Quantitative Biology 2024-01-02 Emre Sefer

One approach to studying the system-wide organization of biochemistry is to use statistical graph theory. Even in such a heavily simplified method, which disregards most of the dynamic aspects of biochemistry, one is faced with fundamental…

Molecular Networks · Quantitative Biology 2010-08-17 Petter Holme , Mikael Huss

Autocatalytic systems are very often incorporated in the "origin of life" models, a connection that has been analyzed in the context of the classical hypercycles introduced by Manfred Eigen. We investigate the dynamics of certain networks…

Dynamical Systems · Mathematics 2020-12-14 Gheorghe Craciun , Abhishek Deshpande , Badal Joshi , Polly Y. Yu

This dissertation explores the application of machine learning in molecular biology, focusing on gene expression regulation and cellular behavior at the single-cell level. Using modern neural networks, the research addresses key challenges…

Quantitative Methods · Quantitative Biology 2024-10-01 Yongjian Yang

The activities and interactions of proteins that govern the cellular response to a signal generate a multitude of protein phosphorylation states and heterogeneous protein complexes. Here, using a computational model that accounts for 307…

Molecular Networks · Quantitative Biology 2007-05-23 James R. Faeder , Michael L. Blinov , Byron Goldstein , William S. Hlavacek