Random Effects Model for Multiple Pathway Analysis with Applications to Type II Diabetes Microarray Data

Close to three percent of the world’s population suffer from diabetes. Despite the range of treatment options available for diabetes patients, not all patients benefit from them. Investigating how different pathways correlate with phenotype of interest may help unravel novel drug targets and discover a possible cure. Many pathway-based methods have been developed to incorporate biological knowledge into the study of microarray data. Most of these methods can only analyze individual pathways but cannot deal with two or more pathways in a model based framework. This represents a serious limitation because, like genes, individual pathways do not work in isolation, and joint modeling may enable researchers to uncover patterns not seen in individual pathway-based analysis. In this paper, we propose a random effects model to analyze two or more pathways. We also derive score test statistics for significance of pathway effects. We apply our method to a microarray study of Type II diabetes. Our method may eludicate how pathways crosstalk with each other and facilitate the investigation of pathway crosstalks. Further hypothesis on the biological mechanisms underlying the disease and traits of interest may be generated and tested based on this method.

[1]  P. Lin,et al.  Soluble CD40 ligand induces endothelial dysfunction in human and porcine coronary artery endothelial cells. , 2008, Blood.

[2]  A. Kopin,et al.  A human glucagon-like peptide-1 receptor polymorphism results in reduced agonist responsiveness , 2005, Regulatory Peptides.

[3]  Hongyu Zhao,et al.  Bayesian semiparametric regression models for evaluating pathway effects on continuous and binary clinical outcomes , 2012, Statistics in medicine.

[4]  Ronald E. Ellis,et al.  Mutations in Two Independent Pathways Are Sufficient to Create Hermaphroditic Nematodes , 2009, Science.

[5]  Hongyu Zhao,et al.  Pathway analysis using random forests classification and regression , 2006, Bioinform..

[6]  Marcel Dettling,et al.  BagBoosting for tumor classification with gene expression data , 2004, Bioinform..

[7]  Tiejun Tong,et al.  Gene Selection Using Iterative Feature Elimination Random Forests for Survival Outcomes , 2012, IEEE/ACM Transactions on Computational Biology and Bioinformatics.

[8]  J. Freedman,et al.  CD40 Ligand Influences Platelet Release of Reactive Oxygen Intermediates , 2005, Arteriosclerosis, thrombosis, and vascular biology.

[9]  S. Wild,et al.  Global prevalence of diabetes: estimates for the year 2000 and projections for 2030. , 2004, Diabetes care.

[10]  Hongyu Zhao,et al.  Pathway analysis using random forests with bivariate node-split for survival outcomes , 2010, Bioinform..

[11]  Kevin K. Lin,et al.  Insulin stimulates Akt translocation to mitochondria: implications on dysregulation of mitochondrial oxidative phosphorylation in diabetic myocardium. , 2009, Journal of molecular and cellular cardiology.

[12]  W. Tamborlane,et al.  Treatment options for type 2 diabetes in adolescents and youth: a study of the comparative efficacy of metformin alone or in combination with rosiglitazone or lifestyle intervention in adolescents with type 2 diabetes , 2007, Pediatric diabetes.

[13]  Grant D. Huang,et al.  Glucose control and vascular complications in veterans with type 2 diabetes. , 2009, The New England journal of medicine.

[14]  S. Subramani,et al.  Two independent pathways traffic the intraperoxisomal peroxin PpPex8p into peroxisomes: mechanism and evolutionary implications. , 2005, Molecular biology of the cell.

[15]  Hongzhe Li,et al.  Nonparametric pathway-based regression models for analysis of genomic data. , 2007, Biostatistics.

[16]  H. Lehrach,et al.  A Human Protein-Protein Interaction Network: A Resource for Annotating the Proteome , 2005, Cell.

[17]  M. Daly,et al.  PGC-1α-responsive genes involved in oxidative phosphorylation are coordinately downregulated in human diabetes , 2003, Nature Genetics.

[18]  Maria João Ramos,et al.  A molecular modeling study of inhibitors of nuclear factor kappa-B (p50) – DNA binding , 2003, J. Comput. Aided Mol. Des..

[19]  Michael E. Miller,et al.  Effects of intensive glucose lowering in type 2 diabetes. , 2008, The New England journal of medicine.

[20]  B. Volpe,et al.  CD40–CD40L interactions promote neuronal death in a model of neurodegeneration due to mild impairment of oxidative metabolism , 2005, Neurochemistry International.

[21]  Herbert Pang,et al.  Pathway-based identification of SNPs predictive of survival , 2011, European Journal of Human Genetics.

[22]  Michael E. Miller,et al.  ACTION TO CONTROL CARDIOVASCULAR RISK IN DIABETES STUDY GROUP. EFFECTS OF INTENSIVE GLUCOSE LOWERING IN TYPE 2 DIABETES , 2010 .

[23]  Susumu Goto,et al.  The KEGG resource for deciphering the genome , 2004, Nucleic Acids Res..

[24]  M. Beil,et al.  Different modes of NF-κB/Rel activation in pancreatic lobules , 2002 .

[25]  M. Hanefeld,et al.  Efficacy and safety of the dipeptidyl peptidase-4 inhibitor sitagliptin as monotherapy in patients with type 2 diabetes mellitus , 2006, Diabetologia.

[26]  U. Mansmann,et al.  Testing Differential Gene Expression in Functional Groups , 2005, Methods of Information in Medicine.

[27]  S. R. Searle,et al.  The estimation of environmental and genetic trends from records subject to culling. , 1959 .

[28]  Jiandie D. Lin,et al.  Transcriptional co-activator PGC-1α drives the formation of slow-twitch muscle fibres , 2002, Nature.

[29]  Xiaodan Wang,et al.  Inhibition of the JAK/STAT Signaling Pathway Prevents the High Glucose-Induced Increase in TGF-β and Fibronectin Synthesis in Mesangial Cells , 2002 .

[30]  Hongyu Zhao,et al.  Building pathway clusters from Random Forests classification using class votes , 2008, BMC Bioinformatics.

[31]  P. L. McCormack,et al.  Liraglutide: a review of its use in type 2 diabetes mellitus. , 2009, Drugs.

[32]  Kai Lai Chung,et al.  A Course in Probability Theory , 1949 .

[33]  C. Vincenz,et al.  Hypoxia induces apoptosis via two independent pathways in Jurkat cells: differential regulation by glucose. , 2001, American journal of physiology. Cell physiology.

[34]  Jelle J. Goeman,et al.  Testing association of a pathway with survival using gene expression data , 2005, Bioinform..

[35]  G. Ryan,et al.  Pramlintide in the treatment of type 1 and type 2 diabetes mellitus. , 2005, Clinical therapeutics.

[36]  Plamen Nikolov,et al.  Economic Costs of Diabetes in the U.S. in 2002 , 2003, Diabetes care.

[37]  A. Farr,et al.  Oxidative Stress Induces NF-κB Nuclear Translocation Without Degradation of IκBα , 1999 .

[38]  Xihong Lin,et al.  Hypothesis testing in semiparametric additive mixed models. , 2003, Biostatistics.

[39]  Xihong Lin Variance component testing in generalised linear models with random effects , 1997 .

[40]  G. Nowak,et al.  Akt activation improves oxidative phosphorylation in renal proximal tubular cells following nephrotoxicant injury. , 2008, American journal of physiology. Renal physiology.

[41]  Xihong Lin,et al.  Semiparametric Regression of Multidimensional Genetic Pathway Data: Least‐Squares Kernel Machines and Linear Mixed Models , 2007, Biometrics.

[42]  Jelle J. Goeman,et al.  A global test for groups of genes: testing association with a clinical outcome , 2004, Bioinform..

[43]  G. Robinson That BLUP is a Good Thing: The Estimation of Random Effects , 1991 .

[44]  T. Mandrup-Poulsen,et al.  Apoptotic signal transduction pathways in diabetes. , 2003, Biochemical pharmacology.

[45]  B. Kingwell,et al.  Nitric oxide synthase inhibition reduces glucose uptake during exercise in individuals with type 2 diabetes more than in control subjects. , 2002, Diabetes.

[46]  R. Shaw,et al.  The LKB1–AMPK pathway: metabolism and growth control in tumour suppression , 2009, Nature Reviews Cancer.