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The past decade has seen a revived interest in the unavoidable or intrinsic noise in biochemical and genetic networks arising from the finite copy number of the participating species. That is, rather than modeling regulatory networks in…

Molecular Networks · Quantitative Biology 2015-03-17 Aleksandra M. Walczak , Andrew Mugler , Chris H. WIggins

The engineered control of cellular function through the design of synthetic genetic networks is becoming plausible. Here we show how a naturally occurring network can be used as a parts list for artificial network design, and how model…

Biological Physics · Physics 2009-11-07 Jeff Hasty , Farren Isaacs , Milos Dolnik , David McMillen , J. J. Collins

Bayesian belief networks can be used to represent and to reason about complex systems with uncertain, incomplete and conflicting information. Belief networks are graphs encoding and quantifying probabilistic dependence and conditional…

Artificial Intelligence · Computer Science 2013-03-08 Carlos Rojas-Guzman , Mark A. Kramer

The Bayesian approach to Inverse Problems relies predominantly on Markov Chain Monte Carlo methods for posterior inference. The typical nonlinear concentration of posterior measure observed in many such Inverse Problems presents severe…

Computation · Statistics 2016-02-17 Shiwei Lan , Tan Bui-Thanh , Mike Christie , Mark Girolami

Approximate Bayesian computation (ABC) is a class of Bayesian inference algorithms that targets for problems with intractable or {unavailable} likelihood function. It uses synthetic data drawn from the simulation model to approximate the…

Computation · Statistics 2024-12-24 Xuefei Cao , Shijia Wang , Yongdao Zhou

Statistical inference of genetic regulatory networks is essential for understanding temporal interactions of regulatory elements inside the cells. For inferences of large networks, identification of network structure is typical achieved…

Quantitative Methods · Quantitative Biology 2008-04-07 Heng Lian

Living cells are the product of gene expression programs that involve the regulated transcription of thousands of genes. The elucidation of transcriptional regulatory networks in thus needed to understand the cell's working mechanism, and…

Quantitative Methods · Quantitative Biology 2011-02-21 Fantine Mordelet , Jean-Philippe Vert

Genetic Regulatory Networks (GRNs) plays a vital role in the understanding of complex biological processes. Modeling GRNs is significantly important in order to reveal fundamental cellular processes, examine gene functions and understanding…

Computational Engineering, Finance, and Science · Computer Science 2012-05-10 Khalid Raza , Rafat Parveen

A common task in experimental sciences is to fit mathematical models to real-world measurements to improve understanding of natural phenomenon (reverse-engineering or inverse modeling). When complex dynamical systems are considered, such as…

Numerical Analysis · Mathematics 2018-06-18 Jean-Charles Croix , Nicolas Durrande , Mauricio Alvarez

There is a growing trend in molecular and synthetic biology of using mechanistic (non machine learning) models to design biomolecular networks. Once designed, these networks need to be validated by experimental results to ensure the…

Quantitative Methods · Quantitative Biology 2020-11-26 Ruby Sedgwick , John Goertz , Molly Stevens , Ruth Misener , Mark van der Wilk

Approximate Bayesian Computation is a family of likelihood-free inference techniques that are well-suited to models defined in terms of a stochastic generating mechanism. In a nutshell, Approximate Bayesian Computation proceeds by computing…

Computation · Statistics 2010-07-28 Michael Blum

Motivated by recent experimental developments in functional genomics, we construct and test a numerical technique for inferring it process pathways, in which one process calls another process, from time series data. We validate using a case…

Biological Physics · Physics 2007-05-23 Chris Wiggins , Ilya Nemenman

Genetic differences between individuals associated to quantitative phenotypic traits, including disease states, are usually found in non-coding genomic regions. These genetic variants are often also associated to differences in expression…

Molecular Networks · Quantitative Biology 2016-11-02 Lingfei Wang , Tom Michoel

Methodological development for the inference of gene regulatory networks from transcriptomic data is an active and important research area. Several approaches have been proposed to infer relationships among genes from observational…

Applications · Statistics 2013-06-28 Grégory Nuel , Andrea Rau , Florence Jaffrézic

Reconstructing transmission networks is essential for identifying key factors like superspreaders and high-risk locations, which are critical for developing effective pandemic prevention strategies. In this study, we developed a Bayesian…

Quantitative Methods · Quantitative Biology 2024-09-10 Jianing Xu , Huimin Hu , Gregory Ellison , Lili Yu , Christopher Whalen , Liang Liu

Gene regulatory networks (GRNs) are increasingly used for explaining biological processes with complex transcriptional regulation. A GRN links the expression levels of a set of genes via regulatory controls that gene products exert on one…

Molecular Networks · Quantitative Biology 2016-06-21 Guy Karlebach

In the context of solving inverse problems for physics applications within a Bayesian framework, we present a new approach, Markov Chain Generative Adversarial Neural Networks (MCGANs), to alleviate the computational costs associated with…

Numerical Analysis · Mathematics 2022-09-08 Nikolaj T. Mücke , Benjamin Sanderse , Sander Bohté , Cornelis W. Oosterlee

Constructing gene interaction networks (GINs) from high-throughput gene expression data is an important and challenging problem in systems biology. Existing algorithms produce networks that either have undirected and unweighted edges, or…

Genomics · Quantitative Biology 2016-03-15 Nitin Kumar Singh , M. Eren Ahsen , Shiva Mankala , Hyun-Seok Kim , Michael A. White , M. Vidyasagar

Rich data generating mechanisms are ubiquitous in this age of information and require complex statistical models to draw meaningful inference. While Bayesian analysis has seen enormous development in the last 30 years, benefitting from the…

Computation · Statistics 2022-10-20 Radu V. Craiu , Evgeny Levi

The Markov Chain Monte Carlo method is the dominant paradigm for posterior computation in Bayesian analysis. It is common to control computation time by making approximations to the Markov transition kernel. Comparatively little attention…

Computation · Statistics 2017-08-30 James E. Johndrow , Jonathan C. Mattingly , Sayan Mukherjee , David Dunson
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