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We consider two mathematical dynamical models of gene regulatory networks (GRNs) and obtain results on robust synchronization on these dynamical models based on the existing theoretical results in the coupled cell network formalism. We also…

Dynamical Systems · Mathematics 2021-11-17 Manuela Aguiar , Ana Dias , Haibo Ruan

Gene regulatory networks play a crucial role in controlling an organism's biological processes, which is why there is significant interest in developing computational methods that are able to extract their structure from high-throughput…

Machine Learning · Statistics 2019-09-11 Ioan Gabriel Bucur , Tom Claassen , Tom Heskes

Interacting systems are prevalent in nature, from dynamical systems in physics to complex societal dynamics. The interplay of components can give rise to complex behavior, which can often be explained using a simple model of the system's…

Machine Learning · Statistics 2018-06-07 Thomas Kipf , Ethan Fetaya , Kuan-Chieh Wang , Max Welling , Richard Zemel

Module network inference is a statistical method to reconstruct gene regulatory networks, which uses probabilistic graphical models to learn modules of coregulated genes and their upstream regulatory programs from genome-wide gene…

Quantitative Methods · Quantitative Biology 2019-05-28 Pau Erola , Eric Bonnet , Tom Michoel

Inferring functional relationships within complex networks from static snapshots of a subset of variables is a ubiquitous problem in science. For example, a key challenge of systems biology is to translate cellular heterogeneity data…

Molecular Networks · Quantitative Biology 2024-08-09 Euan Joly-Smith , Zitong Jerry Wang , Andreas Hilfinger

Animal brains flexibly and efficiently achieve many behavioral tasks with a single neural network. A core goal in modern neuroscience is to map the mechanisms of the brain's flexibility onto the dynamics underlying neural populations.…

Neurons and Cognition · Quantitative Biology 2026-03-12 Anirudh Jamkhandi , Ali Korojy , Olivier Codol , Guillaume Lajoie , Matthew G. Perich

Inverse problems and, in particular, inferring unknown or latent parameters from data are ubiquitous in engineering simulations. A predominant viewpoint in identifying unknown parameters is Bayesian inference where both prior information…

Computation · Statistics 2022-08-31 Vahid Keshavarzzadeh , Robert M. Kirby , Akil Narayan

Constructing gene regulatory networks is a fundamental task in systems biology. We introduce a Gaussian reciprocal graphical model for inference about gene regulatory relationships by integrating mRNA gene expression and DNA level…

Methodology · Statistics 2016-07-26 Yang Ni , Yuan Ji , Peter Mueller

Gene-gene interactions play a crucial role in the manifestation of complex human diseases. Uncovering significant gene-gene interactions is a challenging task. Here, we present an innovative approach utilizing data-driven computational…

Artificial Intelligence · Computer Science 2024-10-22 Yifan Wu , Yuntao Yang , Zirui Liu , Zhao Li , Khushbu Pahwa , Rongbin Li , Wenjin Zheng , Xia Hu , Zhaozhuo Xu

Gene regulatory network (GRN) refers to the complex network formed by regulatory interactions between genes in living cells. In this paper, we consider inferring GRNs in single cells based on single cell RNA sequencing (scRNA-seq) data. In…

Molecular Networks · Quantitative Biology 2022-05-24 Junjie Tang , Changhu Wang , Feiyi Xiao , Ruibin Xi

Network inference, the task of reconstructing interactions in a complex system from experimental observables, is a central yet extremely challenging problem in systems biology. While much progress has been made in the last two decades,…

Quantitative Methods · Quantitative Biology 2024-09-12 Stephen Y Zhang

Foundation models for single-cell RNA sequencing (scRNA-seq) have shown promising capabilities in capturing gene expression patterns. However, current approaches face critical limitations: they ignore biological prior knowledge encoded in…

Machine Learning · Computer Science 2025-03-04 Mufan Qiu , Xinyu Hu , Fengwei Zhan , Sukwon Yun , Jie Peng , Ruichen Zhang , Bhavya Kailkhura , Jiekun Yang , Tianlong Chen

It has been estimated that about 30% of the genes in the human genome are regulated by microRNAs (miRNAs). These are short RNA sequences that can down-regulate the levels of mRNAs or proteins in animals and plants. Genes regulated by miRNAs…

Applications · Statistics 2011-01-10 Francesco C. Stingo , Yian A. Chen , Marina Vannucci , Marianne Barrier , Philip E. Mirkes

Background:Gene regulations often change over time rather than being constant. But many of gene regulatory networks extracted from databases are static. The tumor suppressor gene $P53$ is involved in the pathogenesis of many tumors, and its…

Molecular Networks · Quantitative Biology 2021-11-02 Ruijie Xu , Lin Zhang , Yu Chen

Graph neural networks have re-defined how we model and predict on network data but there lacks a consensus on choosing the correct underlying graph structure on which to model signals. CoVariance Neural Networks (VNN) address this issue by…

Machine Learning · Computer Science 2026-03-25 Om Roy , Yashar Moshfeghi , Keith Smith

Uncertainty quantification is central to safe and efficient deployments of deep learning models, yet many computationally practical methods lack lacking rigorous theoretical motivation. Random network distillation (RND) is a lightweight…

Machine Learning · Computer Science 2026-02-27 Moritz A. Zanger , Yijun Wu , Pascal R. Van der Vaart , Wendelin Böhmer , Matthijs T. J. Spaan

Determining mechanistic models of gene regulation, especially underlying phenotypic variation, is a central goal of both mathematical biology and modern evolutionary biology. However, several challenges, involving both common…

Molecular Networks · Quantitative Biology 2025-11-04 Cody E. FitzGerald , Shelley Reich , Victor Agaba , Arjun Mathur , Michael S. Werner , Niall M. Mangan

Detecting and discovering new gene interactions based on known gene expressions and gene interaction data presents a significant challenge. Various statistical and deep learning methods have attempted to tackle this challenge by leveraging…

Machine Learning · Computer Science 2023-10-09 Ahmed Fakhry , Raneem Khafagy , Adriaan-Alexander Ludl

Cancer disease occurs because of a disorder in the cellular regulatory mechanism, Which causes cellular malformation. The genes that start the malformation are called Cancer driver genes (CDGs) . Numerous computational methods have been…

Molecular Networks · Quantitative Biology 2020-12-16 Mostafa Akhavan Safar , Babak Teimourpour , Mehrdad Kargari

This paper studies causal inference with observational data from a single large network. We consider a nonparametric model with interference in both potential outcomes and selection into treatment. Specifically, both stages may be the…

Econometrics · Economics 2025-12-30 Michael P. Leung , Pantelis Loupos
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