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A great part of the effort in the study of coarse grained models of transcription networks is directed to the analysis of their dynamical features. In this letter, we consider the \emph{equilibrium} properties of such systems, showing that…

Molecular Networks · Quantitative Biology 2007-05-23 M. Cosentino Lagomarsino , P. Jona , B. Bassetti

Spatially-embedded complex networks, such as nervous systems, the Internet and transportation networks, generally have non-trivial topological patterns of connections combined with nearly minimal wiring costs. However the growth rules…

Physics and Society · Physics 2013-05-09 Vincenzo Nicosia , Petra E. Vértes , William R. Schafer , Vito Latora , Edward T. Bullmore

A cell's behavior is a consequence of the complex interactions between its numerous constituents, such as DNA, RNA, proteins and small molecules. Cells use signaling pathways and regulatory mechanisms to coordinate multiple processes,…

Molecular Networks · Quantitative Biology 2007-09-12 Reka Albert

Based on a non-equilibrium mechanism for spatial pattern formation we study how position information can be controlled by locally coupled discrete dynamical networks, similar to gene regulation networks of cells in a developing…

Molecular Networks · Quantitative Biology 2009-08-26 Thimo Rohlf , Stefan Bornholdt

This work aims at optimizing injection networks, which consist in adding a set of long-range links (called bypass links) in mobile multi-hop ad hoc networks so as to improve connectivity and overcome network partitioning. To this end, we…

Neural and Evolutionary Computing · Computer Science 2007-07-23 Gregoire Danoy , Pascal Bouvry , Matthias R. Brust , Enrique Alba

Gene regulatory network (GRN) modeling is a well-established theoretical framework for the study of cell-fate specification during developmental processes. Recently, dynamical models of GRNs have been taken as a basis for formalizing the…

Molecular Networks · Quantitative Biology 2015-10-15 Jose Davila-Velderrain , Luis Juarez-Ramiro , Juan C. Martinez-Garcia , Elena R. Alvarez-Buylla

To perform any meaningful optimization task, power distribution operators need to know the topology and line impedances of their electric networks. Nevertheless, distribution grids currently lack a comprehensive metering infrastructure.…

Optimization and Control · Mathematics 2018-06-12 Guido Cavraro , Vassilis Kekatos

Temporal gene expression data (Wen, et. al.) was analyzed using the recently introduced inverse modeling technique of Embedded Complex Logistic Maps (ECLM). Preliminary results indicate scale-free structure in the gene regulatory network…

Disordered Systems and Neural Networks · Physics 2007-05-23 Sandy Shaw

Most existing swarm pattern formation methods depend on a predefined gene regulatory network (GRN) structure that requires designers' priori knowledge, which is difficult to adapt to complex and changeable environments. To dynamically adapt…

Neural and Evolutionary Computing · Computer Science 2019-11-04 Zhun Fan , Zhaojun Wang , Xiaomin Zhu , Bingliang Hu , Anmin Zou , Dongwei Bao

Graph Neural Networks (GNNs) achieve an impressive performance on structured graphs by recursively updating the representation vector of each node based on its neighbors, during which parameterized transformation matrices should be learned…

Machine Learning · Computer Science 2019-06-14 Pengfei Chen , Weiwen Liu , Chang-Yu Hsieh , Guangyong Chen , Shengyu Zhang

We introduce a novel gene regulatory network (GRN) inference method that integrates optimal transport (OT) with a deep-learning structural inference model. Advances in next-generation sequencing enable detailed yet destructive gene…

Computational Engineering, Finance, and Science · Computer Science 2024-09-24 Tsz Pan Tong , Aoran Wang , George Panagopoulos , Jun Pang

Gene regulatory networks (GRNs) define the regulatory relationships among molecules such as transcription factors, chromatin remodelers, and target genes. GRNs play a critical role in diverse biological processes, including development,…

Molecular Networks · Quantitative Biology 2026-02-24 Junha Shin , Spencer Halberg-Spencer , Yuda Liu , Suvojit Hazra , Erika Da-Inn Lee , Sushmita Roy

The use of machine learning algorithms to investigate phase transitions in physical systems is a valuable way to better understand the characteristics of these systems. Neural networks have been used to extract information of phases and…

Neural and Evolutionary Computing · Computer Science 2025-10-21 Rodrigo Carmo Terin , Zochil González Arenas , Roberto Santana

Gene Regulatory Networks (GRNs) are intricate biological systems that control gene expression and regulation in response to environmental and developmental cues. Advances in computational biology, coupled with high throughput sequencing…

Machine Learning · Computer Science 2025-04-18 Akshata Hegde , Tom Nguyen , Jianlin Cheng

Inferring gene regulatory networks (GRNs) from single-cell RNA sequencing (scRNA-seq) data is a complex challenge that requires capturing the intricate relationships between genes and their regulatory interactions. In this study, we tackle…

Machine Learning · Computer Science 2024-07-26 Sindhura Kommu , Yizhi Wang , Yue Wang , Xuan Wang

The increasing penetration of renewable energy sources introduces significant variability and uncertainty in modern power systems, making accurate state prediction critical for reliable grid operation. Conventional forecasting methods often…

Machine Learning · Computer Science 2025-04-01 Dhruv Suri , Mohak Mangal

Genetic regulatory networks (GRNs) have been widely studied, yet there is a lack of understanding with regards to the final size and properties of these networks, mainly due to no network currently being complete. In this study, we analyzed…

Molecular Networks · Quantitative Biology 2019-03-13 Adrian I. Campos-González , Julio A. Freyre-González

Phenotype transition takes place in many biological processes such as differentiation, and understanding how a cell reprograms its global gene expression profile is a problem of rate theories. A cell phenotype transition accompanies with…

Molecular Networks · Quantitative Biology 2021-07-09 Weikang Wang , Dante Poe , Ke Ni , Jianhua Xing

Understanding the complex and stochastic nature of Gene Regulatory Networks (GRNs) remains a central challenge in systems biology. Existing modeling paradigms often struggle to effectively capture the intricate, multi-factor regulatory…

Molecular Networks · Quantitative Biology 2025-08-20 Yiyang Jia , Zheng Wei , Zheng Yang , Guohong Peng

The dynamics of gene regulatory networks is governed by the interaction between deterministic biochemical reactions and molecular noise. To understand how gene regulatory networks process information during cell state transitions, we study…

Molecular Networks · Quantitative Biology 2025-09-11 Miguel Ángel García-Ariza , Alessandro Bravetti , Pablo Padilla , J Roberto Romero-Arias