IDEAS home Printed from https://ideas.repec.org/a/bpj/sagmbi/v9y2010i1n22.html

Network Enrichment Analysis in Complex Experiments

Author

Listed:
  • Shojaie Ali

    (University of Michigan - Ann Arbor)

  • Michailidis George

    (University of Michigan - Ann Arbor)

Abstract

Cellular functions of living organisms are carried out through complex systems of interacting components. Including such interactions in the analysis, and considering sub-systems defined by biological pathways instead of individual components (e.g. genes), can lead to new findings about complex biological mechanisms. Networks are often used to capture such interactions and can be incorporated in models to improve the efficiency in estimation and inference. In this paper, we propose a model for incorporating external information about interactions among genes (proteins/metabolites) in differential analysis of gene sets. We exploit the framework of mixed linear models and propose a flexible inference procedure for analysis of changes in biological pathways. The proposed method facilitates the analysis of complex experiments, including multiple experimental conditions and temporal correlations among observations. We propose an efficient iterative algorithm for estimation of the model parameters and show that the proposed framework is asymptotically robust to the presence of noise in the network information. The performance of the proposed model is illustrated through the analysis of gene expression data for environmental stress response (ESR) in yeast, as well as simulated data sets.

Suggested Citation

  • Shojaie Ali & Michailidis George, 2010. "Network Enrichment Analysis in Complex Experiments," Statistical Applications in Genetics and Molecular Biology, De Gruyter, vol. 9(1), pages 1-36, May.
  • Handle: RePEc:bpj:sagmbi:v:9:y:2010:i:1:n:22
    DOI: 10.2202/1544-6115.1483
    as

    Download full text from publisher

    File URL: https://doi.org/10.2202/1544-6115.1483
    Download Restriction: For access to full text, subscription to the journal or payment for the individual article is required.

    File URL: https://libkey.io/10.2202/1544-6115.1483?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to

    for a different version of it.

    References listed on IDEAS

    as
    1. Oberhofer, W & Kmenta, J, 1974. "A General Procedure for Obtaining Maximum Likelihood Estimates in Generalized Regression Models," Econometrica, Econometric Society, vol. 42(3), pages 579-590, May.
    2. Christopher T. Harbison & D. Benjamin Gordon & Tong Ihn Lee & Nicola J. Rinaldi & Kenzie D. Macisaac & Timothy W. Danford & Nancy M. Hannett & Jean-Bosco Tagne & David B. Reynolds & Jane Yoo & Ezra G., 2004. "Transcriptional regulatory code of a eukaryotic genome," Nature, Nature, vol. 431(7004), pages 99-104, September.
    3. Sanjay Chaudhuri & Mathias Drton & Thomas S. Richardson, 2007. "Estimation of a covariance matrix with zeros," Biometrika, Biometrika Trust, vol. 94(1), pages 199-216.
    4. Rahnenführer Jörg & Domingues Francisco S & Maydt Jochen & Lengauer Thomas, 2004. "Calculating the Statistical Significance of Changes in Pathway Activity From Gene Expression Data," Statistical Applications in Genetics and Molecular Biology, De Gruyter, vol. 3(1), pages 1-31, June.
    5. Ali Shojaie & George Michailidis, 2010. "Penalized likelihood methods for estimation of sparse high-dimensional directed acyclic graphs," Biometrika, Biometrika Trust, vol. 97(3), pages 519-538.
    6. F. Hong & H. Li, 2006. "Functional Hierarchical Models for Identifying Genes with Different Time-Course Expression Profiles," Biometrics, The International Biometric Society, vol. 62(2), pages 534-544, June.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Frank Emmert-Streib & Galina V Glazko, 2011. "Pathway Analysis of Expression Data: Deciphering Functional Building Blocks of Complex Diseases," PLOS Computational Biology, Public Library of Science, vol. 7(5), pages 1-6, May.
    2. Yuping Zhang & M. Henry Linder & Ali Shojaie & Zhengqing Ouyang & Ronglai Shen & Keith A. Baggerly & Veerabhadran Baladandayuthapani & Hongyu Zhao, 2018. "Dissecting Pathway Disturbances Using Network Topology and Multi-platform Genomics Data," Statistics in Biosciences, Springer;International Chinese Statistical Association, vol. 10(1), pages 86-106, April.
    3. Dørum Guro & Snipen Lars & Solheim Margrete & Saebo Solve, 2011. "Smoothing Gene Expression Data with Network Information Improves Consistency of Regulated Genes," Statistical Applications in Genetics and Molecular Biology, De Gruyter, vol. 10(1), pages 1-26, August.

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Mohammed Bennani Dosse & Jos Berge, 2010. "Anisotropic Orthogonal Procrustes Analysis," Journal of Classification, Springer;The Classification Society, vol. 27(1), pages 111-128, March.
    2. Aslanidis, Nektarios, 2007. "Business Cycle Regimes in CEECs Production: A Threshold SURE Approach," Working Papers 2072/5318, Universitat Rovira i Virgili, Department of Economics.
    3. Yue Yuan & Qiang Huo & Ziru Zhang & Qun Wang & Juanxia Wang & Shuaikang Chang & Peng Cai & Karen M. Song & David W. Galbraith & Weixiao Zhang & Long Huang & Rentao Song & Zeyang Ma, 2024. "Decoding the gene regulatory network of endosperm differentiation in maize," Nature Communications, Nature, vol. 15(1), pages 1-19, December.
    4. Hansen, Peter Reinhard, 2003. "Structural changes in the cointegrated vector autoregressive model," Journal of Econometrics, Elsevier, vol. 114(2), pages 261-295, June.
    5. Dørum Guro & Snipen Lars & Solheim Margrete & Saebo Solve, 2011. "Smoothing Gene Expression Data with Network Information Improves Consistency of Regulated Genes," Statistical Applications in Genetics and Molecular Biology, De Gruyter, vol. 10(1), pages 1-26, August.
    6. Michael Fop & Pierre-Alexandre Mattei & Charles Bouveyron & Thomas Brendan Murphy, 2022. "Unobserved classes and extra variables in high-dimensional discriminant analysis," Advances in Data Analysis and Classification, Springer;German Classification Society - Gesellschaft für Klassifikation (GfKl);Japanese Classification Society (JCS);Classification and Data Analysis Group of the Italian Statistical Society (CLADAG);International Federation of Classification Societies (IFCS), vol. 16(1), pages 55-92, March.
    7. Christian Genthon, 2008. "International diversification, performance and offshoring : the case of the computer services industry," Post-Print halshs-00348198, HAL.
    8. repec:plo:pcbi00:1000010 is not listed on IDEAS
    9. Baum, Christopher F. & García-Suaza, Andrés & Henry, Miguel & Otero, Jesús, 2025. "Drivers of COVID-19 in U.S. counties: A wave-level analysis," Economics & Human Biology, Elsevier, vol. 58(C).
    10. Yu Chuan Tai & Terence P. Speed, 2009. "On Gene Ranking Using Replicated Microarray Time Course Data," Biometrics, The International Biometric Society, vol. 65(1), pages 40-51, March.
    11. Nektarios Aslanidis, 2006. "Business Cycle Regimes in CEECs Production: a Threshold SUR Approach," Bank of Estonia Working Papers 2006-01, Bank of Estonia, revised 10 Oct 2006.
    12. Chambers, Robert G. & Tzouvelekas, Vangelis, 2013. "Estimating population dynamics without population data," Journal of Environmental Economics and Management, Elsevier, vol. 66(3), pages 510-522.
    13. Matvei Khoroshkin & Andrey Buyan & Martin Dodel & Albertas Navickas & Johnny Yu & Fathima Trejo & Anthony Doty & Rithvik Baratam & Shaopu Zhou & Sean B. Lee & Tanvi Joshi & Kristle Garcia & Benedict C, 2024. "Systematic identification of post-transcriptional regulatory modules," Nature Communications, Nature, vol. 15(1), pages 1-21, December.
    14. Håvard Hungnes, 2020. "Equal predictability test for multi-step-ahead system forecasts invariant to linear transformations," Discussion Papers 931, Statistics Norway, Research Department.
    15. Alessandro Casa & Andrea Cappozzo & Michael Fop, 2022. "Group-Wise Shrinkage Estimation in Penalized Model-Based Clustering," Journal of Classification, Springer;The Classification Society, vol. 39(3), pages 648-674, November.
    16. Zing Tsung-Yeh Tsai & Shin-Han Shiu & Huai-Kuang Tsai, 2015. "Contribution of Sequence Motif, Chromatin State, and DNA Structure Features to Predictive Models of Transcription Factor Binding in Yeast," PLOS Computational Biology, Public Library of Science, vol. 11(8), pages 1-22, August.
    17. Anupam Kundu & Mohsen Pourahmadi, 2023. "MLE of Jointly Constrained Mean-Covariance of Multivariate Normal Distributions," Sankhya B: The Indian Journal of Statistics, Springer;Indian Statistical Institute, vol. 85(1), pages 1-32, May.
    18. Gianluca Cubadda, 2025. "VAR Models with an Index Structure: A Survey with New Results," Econometrics, MDPI, vol. 13(4), pages 1-17, October.
    19. Kristensen Johannes Tang, 2014. "Factor-based forecasting in the presence of outliers: Are factors better selected and estimated by the median than by the mean?," Studies in Nonlinear Dynamics & Econometrics, De Gruyter, vol. 18(3), pages 309-338, May.
    20. Gross, Eitan, 2015. "Effect of environmental stress on regulation of gene expression in the yeast," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 430(C), pages 224-235.
    21. repec:tsa:wpaper:0050eco is not listed on IDEAS
    22. Cadogan, Godfrey, 1994. "Do Public Sector Contracts And Policy Towards Small Firms Matter?: Evidence From Women Business Enterprises," MPRA Paper 26595, University Library of Munich, Germany, revised 14 Sep 2010.

    More about this item

    Keywords

    ;
    ;
    ;
    ;
    ;
    ;
    ;

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:bpj:sagmbi:v:9:y:2010:i:1:n:22. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Peter Golla (email available below). General contact details of provider: https://www.degruyterbrill.com .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.