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Transcriptome-Guided Imaging Genetic Analysis via a Novel Sparse CCA Algorithm

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Graphs in Biomedical Image Analysis, Computational Anatomy and Imaging Genetics (GRAIL 2017, MICGen 2017, MFCA 2017)

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.

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Notes

  1. 1.

    Otherwise, we can always increase the objective value by reversing the sign of \(v_j\).

  2. 2.

    The problem (2) is actually biconvex in \(\mathbf {u}\) and \(\mathbf {v}\).

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Correspondence to Li Shen .

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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

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  • DOI: https://doi.org/10.1007/978-3-319-67675-3_20

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  • Publisher Name: Springer, Cham

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  • Online ISBN: 978-3-319-67675-3

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