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Column Basis Vectors comparing Normal Tissue Bin Types to Tumor Bins

Comparative spectral decompositions, such as the GSVD, underlie a mathematically universal description of the genotype-phenotype relations in cancer

By Katherine A. Aiello1,2, Sri Priya Ponnapalli1, and Orly Alter1,2,3

1Scientific Computing and Imaging Institute, 2Department of Bioengineering, 3Huntsman Cancer Institute and Department of Human Genetics

Abstract: DNA alterations have been observed in astrocytoma for decades. A copy-number genotype predictive of a survival phenotype was only discovered by using the generalized singular value decomposition (GSVD) formulated as a comparative spectral decomposition. Here, we use the GSVD to compare whole-genome sequencing (WGS) profiles of patient-matched astrocytoma and normal DNA. First, the GSVD uncovers a genome-wide pattern of copy-number alterations, which is bounded by patterns recently uncovered by the GSVDs of microarray-profiled patient-matched glioblastoma (GBM) and, separately, lower-grade astrocytoma and normal genomes. Like the microarray patterns, the WGS pattern is correlated with an approximately one-year median survival time. By filling in gaps in the microarray patterns, the WGS pattern reveals that this biologically consistent genotype encodes for transformation via the Notch together with the Ras and Shh pathways. Second, like the GSVDs of the microarray profiles, the GSVD of the WGS profiles separates the tumor-exclusive pattern from normal copy-number variations and experimental inconsistencies. These include the WGS technology-specific effects of guanine-cytosine content variations across the genomes that are correlated with experimental batches. Third, by identifying the biologically consistent phenotype among the WGS-profiled tumors, the GBM pattern proves to be a technology-independent predictor of survival and response to chemotherapy and radiation, statistically better than the patient's age and tumor's grade, the best other indicators, and MGMT promoter methylation and IDH1 mutation. We conclude that by using the complex structure of the data, comparative spectral decompositions underlie a mathematically universal description of the genotype-phenotype relations in cancer that other methods miss.

Read the article in APL Bioengineering.

System Status

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last update: 2020-04-08 14:23:02
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system cores % util.
kingspeak 832/832 100%
notchpeak 3164/3164 100%
lonepeak 2652/2652 100%
Owner/Restricted Nodes
system cores % util.
ash 3280/7392 44.37%
notchpeak 4208/4528 92.93%
kingspeak 5429/5836 93.03%
lonepeak 416/416 100%

Protected Environment

last update: 2020-04-08 14:20:02
General Nodes
system cores % util.
redwood 0/408 0%
Owner/Restricted Nodes
system cores % util.
redwood 32/3816 0.84%

Cluster Utilization

Last Updated: 4/2/20