Abstract
Imaging genetics is an emerging field that studies the influence of genetic variation on brain structure and function. The major task is to examine the association between genetic markers such as single nucleotide polymorphisms (SNPs) and quantitative traits (QTs) extracted from neuroimaging data. Sparse canonical correlation analysis (SCCA) is a bi-multivariate technique used in imaging genetics to identify complex multi-SNP-multi-QT associations. In imaging genetics, genes associated with a phenotype should be at least expressed in the phenotypical region. We study the association between the genotype and amyloid imaging data and propose a transcriptome-guided SCCA framework that incorporates the gene expression information into the SCCA criterion. An alternating optimization method is used to solve the formulated problem. Although the problem is not biconcave, a closed-form solution has been found for each subproblem. The results on real data show that using the gene expression data to guide the feature selection facilities the detection of genetic markers that are not only associated with the identified QTs, but also highly expressed there.
This work was supported by NIH R01 EB022574, R01 LM011360, U01 AG024904, P30 AG10133, R01 AG19771, UL1 TR001108, R01 AG 042437, R01 AG046171, and R01 AG040770, by DoD W81XWH-14-2-0151, W81XWH-13-1-0259, W81XWH-12-2-0012, and NCAA 14132004.
Data used in preparation of this article were obtained from the Alzheimer’s Disease Neuroimaging Initiative (ADNI) database (adni.loni.usc.edu). As such, the investigators within the ADNI contributed to the design and implementation of ADNI and/or provided data but did not participate in analysis or writing of this report. A complete listing of ADNI investigators can be found at: http://adni.loni.usc.edu/wp-content/uploads/how_to_apply/ADNI_Acknowledgement_List.pdf.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Similar content being viewed by others
Notes
- 1.
Otherwise, we can always increase the objective value by reversing the sign of \(v_j\).
- 2.
The problem (2) is actually biconvex in \(\mathbf {u}\) and \(\mathbf {v}\).
References
Braskie, M.N., Ringman, J.M., Thompson, P.M.: Neuroimaging measures as endophenotypes in Alzheimer’s disease. Int. J. Alzheimer’s Dis. 2011, 1–15 (2011). 490140
Chen, J., Bushman, F.D., Lewis, J.D., Wu, G.D., Li, H.: Structure-constrained sparse canonical correlation analysis with an application to microbiome data analysis. Biostatistics 14(2), 244–258 (2013)
Chen, X., Liu, H., Carbonell, J.G.: Structured sparse canonical correlation analysis. In: International Conference on Artificial Intelligence and Statistics, La Palma, Canary Islands, vol. 12, pp. 199–207 (2012)
Louwersheimer, E., Ramirez, A., Cruchaga, C., Becker, T., Kornhuber, J., Peters, O., Heilmann, S., Wiltfang, J., Jessen, F., Visser, P.J., Scheltens, P., Pijnenburg, Y.A.L., Teunissen, C.E., Barkhof, F., van Swieten, J.C., Holstege, H., Van der Flier, W.M., Alzheimer’s Disease Neuroimaging Initiative and Dementia Competence Network: Influence of genetic variants in SORL1 gene on the manifestation of Alzheimer’s disease. Neurobiol. Aging, 36, 1605.e3–1605.e20 (2015)
Meinshausen, N., Bühlmann, P.: Stability selection. J. R. Stat. Soc. Ser. B (Stat. Methodol.) 72(4), 417–473 (2010)
Parkhomenko, E., Tritchler, D., Beyene, J.: Sparse canonical correlation analysis with application to genomic data integration. Stat. Appl. Genet. Mol. Biol. 8, 1–34 (2009)
Witten, D.M., Tibshirani, R., Hastie, T.: A penalized matrix decomposition, with applications to sparse principal components and canonical correlation analysis. Biostatistics 10(3), 515–34 (2009)
Witten, D.M., Tibshirani, R.J.: Extensions of sparse canonical correlation analysis with applications to genomic data. Stat. Appl. Genet. Mol. Biol. 8(1), 1–27 (2009)
Yan, J., Du, L., Kim, S., Risacher, S.L., Huang, H., Moore, J.H., Saykin, A.J., Shen, L.: Transcriptome-guided amyloid imaging genetic analysis via a novel structured sparse learning algorithm. Bioinformatics 30(17), i564–i571 (2014)
Author information
Authors and Affiliations
Consortia
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2017 Springer International Publishing AG
About this paper
Cite this paper
Liu, K. et al. (2017). Transcriptome-Guided Imaging Genetic Analysis via a Novel Sparse CCA Algorithm. In: Cardoso, M., et al. Graphs in Biomedical Image Analysis, Computational Anatomy and Imaging Genetics. GRAIL MICGen MFCA 2017 2017 2017. Lecture Notes in Computer Science(), vol 10551. Springer, Cham. https://doi.org/10.1007/978-3-319-67675-3_20
Download citation
DOI: https://doi.org/10.1007/978-3-319-67675-3_20
Published:
Publisher Name: Springer, Cham
Print ISBN: 978-3-319-67674-6
Online ISBN: 978-3-319-67675-3
eBook Packages: Computer ScienceComputer Science (R0)