8,285 research outputs found
Implicit Methods for Probabilistic Modeling of Gene Reglatory Networks
In silico modeling of Gene Regulatory Networks (GRN) has recently aroused a lot of interest in the biological community for modeling and understanding complex pathways. Boolean Networks (BN) are a common modeling tool for in silico dynamic analysis of such pathways. Although they are known to have effectively modeled many real and complex regulatory networks, they are deterministic in nature and have shortcomings in modeling non-determinism that is inherent in biological systems. Probabilistic Boolean Networks (PBN) have been proposed to counter these shortcomings. The capabilities of PBNs have been so far under-utilised because of the lack of an efficient PBN toolbox. This work addresses some issues associated with traditional methods of PBN representation and proposes efficient algorithms to model gene regulatory networks using PBNs
Dynamic Bayesian networks in molecular plant science: inferring gene regulatory networks from multiple gene expression time series
To understand the processes of growth and biomass production in plants, we ultimately need to elucidate the structure of the underlying regulatory networks at the molecular level. The advent of high-throughput postgenomic technologies has spurred substantial interest in reverse engineering these networks from data, and several techniques from machine learning and multivariate statistics have recently been proposed. The present article discusses the problem of inferring gene regulatory networks from gene expression time series, and we focus our exposition on the methodology of Bayesian networks. We describe dynamic Bayesian networks and explain their advantages over other statistical methods. We introduce a novel information sharing scheme, which allows us to infer gene regulatory networks from multiple sources of gene expression data more accurately. We illustrate and test this method on a set of synthetic data, using three different measures to quantify the network reconstruction accuracy. The main application of our method is related to the problem of circadian regulation in plants, where we aim to reconstruct the regulatory networks of nine circadian genes in Arabidopsis thaliana from four gene expression time series obtained under different experimental conditions
Mathematical modelling plant signalling networks
During the last two decades, molecular genetic studies and the completion of the sequencing of the Arabidopsis thaliana genome have increased knowledge of hormonal regulation in plants. These signal transduction pathways act in concert through gene regulatory and signalling networks whose main components have begun to be elucidated. Our understanding of the resulting cellular processes is hindered by the complex, and sometimes counter-intuitive, dynamics of the networks, which may be interconnected through feedback controls and cross-regulation. Mathematical modelling provides a valuable tool to investigate such dynamics and to perform in silico experiments that may not be easily carried out in a laboratory. In this article, we firstly review general methods for modelling gene and signalling networks and their application in plants. We then describe specific models of hormonal perception and cross-talk in plants. This sub-cellular analysis paves the way for more comprehensive mathematical studies of hormonal transport and signalling in a multi-scale setting
Bayesian variable selection and data integration for biological regulatory networks
A substantial focus of research in molecular biology are gene regulatory
networks: the set of transcription factors and target genes which control the
involvement of different biological processes in living cells. Previous
statistical approaches for identifying gene regulatory networks have used gene
expression data, ChIP binding data or promoter sequence data, but each of these
resources provides only partial information. We present a Bayesian hierarchical
model that integrates all three data types in a principled variable selection
framework. The gene expression data are modeled as a function of the unknown
gene regulatory network which has an informed prior distribution based upon
both ChIP binding and promoter sequence data. We also present a variable
weighting methodology for the principled balancing of multiple sources of prior
information. We apply our procedure to the discovery of gene regulatory
relationships in Saccharomyces cerevisiae (Yeast) for which we can use several
external sources of information to validate our results. Our inferred
relationships show greater biological relevance on the external validation
measures than previous data integration methods. Our model also estimates
synergistic and antagonistic interactions between transcription factors, many
of which are validated by previous studies. We also evaluate the results from
our procedure for the weighting for multiple sources of prior information.
Finally, we discuss our methodology in the context of previous approaches to
data integration and Bayesian variable selection.Comment: Published in at http://dx.doi.org/10.1214/07-AOAS130 the Annals of
Applied Statistics (http://www.imstat.org/aoas/) by the Institute of
Mathematical Statistics (http://www.imstat.org
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