Regression, correlation and liquid association in complex genomic data analysis Ker-Chau Li Institute of Statistical Science, Academia Sinica gene-expression data cond1 cond2 …….. condp gene1 gene2 gene n x11 x21 x12 …….. x1p x22 …….. x2p … … Historical review of correlation • • • • • Why using mean ? Why using standardization? Outliers Rank correlation Normal score transformation Theory of liquid association • • • • • • Definition of LA Stein lemma Compute LA Normal score transformation P-value LA plot Generalization of liquid association • Binary Z • Transforming X and Y • A paradigm of using liquid association • LAP web application http://kiefer.stat2.sinica.edu.tw/LAP3 (Note: case sensitive) Regression: model, correlation and prediction Regression toward the mean http://en.wikipedia.org/wiki/Regressi on_toward_the_mean#History Regression, correlation • Sir Francis Galton (1822 - 1911), • half-cousin of Charles Darwin, • was an English Victorian polymath, anthropologist, eugenicist, tropical explorer, geographer, inventor, meteorologist, proto-geneticist, psychometrician, and statistician. He was knighted in 1909. • Galton invented the use of the regression line (Bulmer 2003, p. 184), and was the first to describe and explain the common phenomenon of regression toward the mean, which he first observed in his experiments on the size of the seeds of successive generations of sweet peas. Bivariate normal Pearson correlation • Corr (X,Y) = E[(X-E(X))(Y-E(Y) ]/ SD(X)SD(Y) X,Y are two random variables Corr (often denoted , or r ) is between -1 and 1 r= 0 , uncorrelated >0, positive correlation <0, negative correlation Intuitive illustration: larger value of X correlates with Larger value of Y (r>0) Larger value of X correlates with smaller value of Y (r<0) Choice of average value : E(X), E(Y) { why not using median ??? Galton did so} Application in microarray gene expression analysis Galton’s discovery of regression Messy Data, creative summary, no aid by computer Elliptically contoured bivariate distribution • The set of points with equal frequencies of occurrence lie on concentric ellipses with common center, shape and orientation Under the additional assumption that the marginal distributions of X and Y are normal and the , it can be proved that the joint distribution of X,Y must follow a bivariate normal distribution, joint density function : f(x,y)= a little bit complex Parameters of mean of X, mean of Y, SD of X, SD of Y, correlation, 1, 2,1,2, Rate of Regression prediction • SD of height (assume = 1 inch, remains same from generation to generation) • Father 1 inch above (below) mean • Son r inches above (below) mean • Grandson r2 inches above (below) mean • Grand grandson r3 inches above(below) mean • N generation later rN inches above(below) mean • which tends to 0 [T]he mean filial regression toward mediocrity was directly proportional to the parental deviation from it. - Galton Recall : median is used in his definition of SD Required conditions for regression effect • If E(Y|X) is linear in X, then E(Y|X) = a+ b X b= given before If SD(X)=SD(Y), then b= r which is between 0 and 1 for positive correlated case. So regression effect is direct consequence of mathematics ( I am sure if this is statistical or not!) • Correlation or regression are not equivalent to causal relationship • Regression can be forward or inverse Error of prediction • Y= a + bX + error b= r SD(Y)/SD(X) R-squared = var (fit)/var (Y)= Var(a +bX)/Var(Y) = Var(bX)/Var(Y)=b2var(X)/Var(Y)= r2 [SD(Y)2/SD(X)2 ]var(X)/var(Y) = r2 F-ratio = [var(fit)/d.f of fit ]/ [var(error)/ d.f. of residual] d.f. of fit = number of regression parameters (excluding intercept) (= dimension of regressor in multiple linear regression), d.f. of residual = number of cases - 1-d.f. of fit Inverse regression line • Assume r=0.6 • The expected height of the son of a father 1 inch taller than average is 0.6 inches taller than average • What is the expected height of the father of a son whose height is 0.6 taller than average ? 1 inches taller than average ? Sliced inverse regression for dimension reduction • Inverse point of view of regression is useful in reducing the dimensionality of regressors • Instead of considering E(Y|x1, ..xp) which is a p-dimensional surface, it is simper to consider E(x1|Y), E(x2|Y) …E(xp|Y) which is a onedimensional curve in p-dimensional space. Binary input and binary output • Event A correlates with Event B (p53 mutation correlates with decreased survival; Aberrant p53 expression correlates with expression of vascular endothelial growth factor mRNA and interleukin8 mRNA and neoangiogenesis in non-small-cell lung cancer (Yuan et al, 2002, J.Clin.Oncol.20, 900-910) Mathematically, does it imply Event B correlates Event A ? Can you prove it or disprove it ? (Homework ) Many ways of measuring correlation have been proposed such as rank correlation, Fisher-Yates correlation, etc. Why clustering make sense biologically? The rationale is Genes with high degree of expression similarity are likely to be functionally related. may form structural complex, may participate in common pathways. may be co-regulated elements. by common upstream regulatory Simply put, Profile similarity implies functional association However, the converse is not true The expression profiles of majority of functionally associated genes are indeed uncorrelated • Microarray is too noisy •Biology is complex Patterns of Coexpression for Protein Complexes by Size in Saccharomyces Cerevisiae NAR 2008, Ching-Ti Liu, Shinsheng Yuan, Ker-Chau Li • Many successful functional studies by gene expression profiling in the literature have led to the perception that profile similarity is likely to imply functional association. But how true is the converse of the above statement? Do functionally associated genes tend to be co-regulated at the transcription level? In this paper, we focused on a set of well-validated yeast protein complexes provided by Munich Information Center for Protein Sequences (MIPS). Using four well-known largescale microarray expression datasets, we computed the correlations between genes from the same complex. We then analyzed the relationship between the distribution of correlations and the complex size (the number of genes in a protein complex). We found that except for a few large protein complexes such as mitochondrial ribosomal and cytoplasmic ribosomal proteins, the correlations are on the average not much higher than that from a pair of randomly selected genes. The global impact of large complexes on the expression of other genes in the genome is also studied. Our result also showed that the expression of over 85% of the genes are affected by six large complexes: the cytoplasmic ribosomal complex, mitochondrial ribosomal complex, proteasome complex, F0/F1 ATP synthase (complex V) (size 18), rRNA splicing (size 24), and H+- transporting ATPase, vacular (size 15). Yeast Cell Cycle (adapted from Molecular Cell Biology, Darnell et al) Get t ing a homogeneous populat ion of cells: cell cycle Cells at various st ages of cell cycle Synchronizat ion condit ions: -Temperat ure shif t t o 3 7 C f or CDC1 5 yeast t s-st rain -add pheromone -Elut riat ion Release back int o cell cycle Take sample as cells progress t hrough cycle simult aneously Microarray gene-expression data cond1 cond2 …….. condp gene1 gene2 x11 x21 gene n Four large scale datasets x12 …….. x1p x22 …….. x2p … … • Figure 1. Comparison of correlation distributions for protein pairs with respect to functional association (shown in left panel) and complex size (shown in right panel). The terms “cc”, “yg”, “rst” and “st1” represent four different data sets: cellcycle, segregation genetics, rosetta and stress data, respectively. Protein complex pairs are abbreviated as “rel” and unrelated pairs are abbreviated as “unrel”. Why no correlation? • Protein rarely works alone • Protein has multiple functions • Different biological processes or pathways have to be synchronized • Competing use of finite resources : metabolites, hormones, • Protein modification: Phosphorylation, proteolysis, shuttle, … Transcription factors serving both as activators and repressors The thyroid hormone receptor differs functionally from glucocorticoid receptor in two important respects : it binds to its DNA response elements in the absence of hormone, and the bound protein represses transcription rather than activating it. When thyroid hormone binds to the thyroid hormone receptor, the receptor is converted from a repressor to an activator. Gene A = gene produces THR Gene B= gene regulated by THR THR alone represses B THR+ HM activates B Transcription factors: proteins that bind to DNA Activator; repressors Expression levels of A THR alone represses B and B can be either THR+ HM activates B positively correlated or negatively correlated, depending on thyroid hormone level. If during an experiment, hormone level fluctuated as organisms try to accomplish different tasks and if we cannot tell what tasks are, then ..... Of course, the book is not talking about yeast there. However, Pairwise similarity is not enough! Liquid Association (LA) • LA is a generalized notion of association for describing certain kind of ternary relationship between variables in a system. (Li 2002 PNAS) • Liquid Association high (+) • low (-) Y transit state 1 state 2 Linear (state 1) Linear (state 2) • • low (-) X Green points represent four conditions for cellular state 1. Red points represent four conditions for cellular state 2. Blue points represent the transit state between cellular states 1 and 2. (X,Y) forms a LA. high (+) Profiles of genes X and Y are displayed in the above scatter plot. Important! Correlation between X and Y is 0 Statistical theory for LA • X, Y, Z random variables with mean 0 and variance 1 • Corr(X,Y)=E(XY)=E(E(XY|Z))=Eg(Z) • g(z) an ideal summary of association pattern between X and Y when Z =z • g’(z)=derivative of g(z) • Definition. The LA of X and Y with respect to Z is LA(X,Y|Z)= Eg’(Z) Statistical theory-LA • Theorem. If Z is standard normal, then LA(X,Y|Z)=E(XYZ) • Proof. By Stein’s Lemma : Eg’(Z)=Eg(Z)Z • =E(E(XY|Z)Z)=E(XYZ) • Additional math. properties: • bounded by third moment • =0, if jointly normal • transformation Stein Lemma • To compute E(g’(Z)) is not easy. With help from mathematical statistics theory, the LA(X,Y|Z) can be simplified as E(XYZ) when Z follows normal distribution. Stein lemma Normality ? • Convert each gene expression profile by taking normal score transformation • LA(X,Y|Z) = average of triplet product of three gene profiles: (x1y1z1 + x2y2z2 + …. ) / n • • Liquid Association is not Partial correlation • X, Y, Z • Z->Y, Z->X (Causal analysis ) • X=aZ+b+error • Y=a’Z+b’+error’ Partial correlation =corr (error, error’) If Z causes X and Y, then partial correlation=0 (X=Coke sale, Y=eye disease incidence rate, Z=season) Start with a pair of correlated genes X, Y, find Z to minimize partial correlation. This is very different from LA. Graph representation ARG1 8th place negative Y Figure 4. Urea cycle/argininbiosynthesis pathway. ARG2 encodes acetyl-glutamate synthase, which catalyzes the first step in synthesizing ornithine from glutamate. Ornithine and carbamoyl phosphate are the substrates of the enzyme ornithine transcarbamoylase, encoded by ARG3. Carbamoyl phosphate synthetase is encoded by CPA1 and CPA2. ARG1 encodes argininosuccinate synthetase, ARG4 encodes argininosuccinase, CAR1 encodes arginase, and CAR2 encodes ornithine aminotransferase. X Compute LA(X,Y|Z) for all Z Adapted from KEGG Rank and find leading genes Why negative LA? high CPA2 : signal for arginine demand. up-regulation of ARG2 concomitant with down-regulation of CAR2 prevents ornithine from leaving the urea cycle. When the demand is relieved, CPA2 is lowered, CAR2 is up-regulated, opening up the channel for orinthine to leave the urea cycle. 2 0 -2 -1 0 Low CAR2 High 1 1 -1 -2 Low ARG2 High 2 low CPA2 median CPA2 high CPA2 Linear (low CPA2) Linear (high CPA2) Statistical significance • P-value can be calculated by permutation test or by large sample approximation • Plot of liquid association is provided by two methods: MLE for mixture model discrete method How does LA work in cell-lines? Alzheimer’s Disease hallmark gene Amyloid-beta precursor protein (APP) Liquid association: A method for exploiting lack of correlation between variables The brain tissue shows "neurofibrillary tangles" (twisted fragments of protein within nerve cells that clog up the cell), "neuritic plaques" (abnormal clusters of dead and dying nerve cells, other brain cells, and protein), and "senile plaques" (areas where products of dying nerve cells have accumulated around protein). Although these changes occur to some extent in all brains with age, there are many more of them in the brains of people with AD. The destruction of nerve cells (neurons) leads to a decrease in neurotransmitters (substances secreted by a neuron to send a message to another neuron). The Amyloid beta peptide is the predominant component of senile plagues in brains of MD patients. It is derived from Amyloid-beta precusor protein (APP) by consecutive proteolytic cleavage of Beta-secretase and gamma-secretase What is the physiological role of APP? Cao X, Sudhof TC. A transcriptionally active complex of APP with Fe65 and histone acetyltransferase Tip60. Science. 2001 Jul 6;293(5527):115-20. Abstract of Cao and Sudhof Amyloid-beta precursor protein (APP), a widely expressed cell-surface protein, is cleaved in the transmembrane region by gamma-secretase. gamma-Cleavage of APP produces the extracellular amyloid betapeptide of Alzheimer's disease and releases an intracellular tail fragment of unknown physiological function. We now demonstrate that the cytoplasmic tail of APP forms a multimeric complex with the nuclear adaptor protein Fe65 and the histone acetyltransferase Tip60. This complex potently stimulates transcription via heterologous Gal4- or LexA-DNA binding domains, suggesting that release of the cytoplasmic tail of APP by gamma-cleavage may function in gene expression. Take X=APP, Y=APBP1 • APBP1 encodes FE65 • Find BACE2 from our short list of LA score leaders. • BACE2 encodes a beta-site APP-cleaving enzyme Take X=APP, Y=HTATIP HTATIP encodes Tip60 Finds PSEN1 (second place positive LA score leader) Which encodes presenilin 1, a major component of gamma-secretase Application: finding candidate genes for Multiple sclerosis Multiple sclerosis • 1. MS is a chronic neurological disorder disease, characterized by multicentric inflammation, demyelination and axonal damage, resulting in heterogeneous clinical features, including pareses, sensory symptoms and ataxia. The classical clinical features include disturbances in sensation and mobility. The typical age of onset is between years 20 and 40, making MS one of the most common neurological diseases of young adults. Four genome-wide scans (US, UK, Canada, and Finland) have revealed several putative susceptibility loci, of which the loci on chromosomes 6p, 5p, 17q and 19q have been replicated in multiple study samples. More recently, Professors Aarno Peltonen and Leena Peltonen’s teams have generated a fine map on 17q22-q24 (Saarela et al 2002). They are now interested in the functional aspect of the genes in this region using microarray technology. Multiple sclerosis study Aarno : How about PRKCA ? KC: it is not in the NCI’s cell-line data, how about PRKCQ? Aarno: No, we are very picky. Daniel: GNF has PRKCA KC: we have not analyzed GNF data yet. Aarno, Daniel, Robert: give it a try (GNF_ gene expression Atlas; http://expression.gnf.org ). Su et al. X=MBP(myelin basic protein), Y= PRKCA (a gene in interested chromosome 17q22-24 region), we get Z=SLC1A3 at the second place. Returning to the cell-line data, we use SLC1A3 as X to find highest score LA pairs. MYT1(Myelin transcription factor 1) appears twice in our short list of the best 40 pairs (out of a total of over 73 million possible pairs)!! A lot more evidences: including connection to HLA (major histocompatibility complex) family of genes in 6p21, the locus which most linkage analysis has pointed to. To summarize: Starting from PRKCA(protein kinase C, alpha), a primary susceptible gene from an MS locus on chromosome 17q22q24, we use the method of liquid association (LA) to probe for functionally associated genes. A string of evidences from four large-scale gene expression databases suggest a strong connection to SLC1A3(glial high glutamate transporter, member 3). Significant linkage of SLC1A3 to MS is established in a follow-up SNF typing involving high MSrisk population sub-isolate of Finland. Our results open up a new approach of finding susceptible genes for complex diseases. MYT1 is a zinc finger transcription factor that binds to the promoter regions of proteolipid proteins of the central nervous system and plays a role in the developing nervous system and FALZ has a DNA-binding domain and a zinc finger motif. FALZ is located in chromosome 17q24.3, the region of interest. SLC1A3 is a glial high affinity glutamate transporter, located in chromosome 5p13 which is another region of interested mapped earlier in the Finish study. Liquid association: A method for exploiting lack of correlation between variables glutamate-induced excitotoxicity SLC1A3 is highly expressed in various brain regions including cerebellum, frontal cortex, basal ganglia and hippocampus. It encodes a sodium-dependent glutamate/aspartate transporter 1 (GLAST). Glutamate and aspartate are excitatory neurotransmitters that have been implicated in a number of pathologic states of the nervous system. Glutamate concentration in cerebrospinal fluid rises in acute MS patients whilst glutamate antagonist amantadine reduces MS relapse rate. In EAE, the levels of GLAST and GLT-1 (SLC1A2) are found down-regulated in spinal cord at the peak of disease symptoms and no recovery was observed after remission. We consider highly encouraging that several lines of evidence including both genetic association and gene expression association, would be consistent with the glutamateinduced excitotoxicity hypothesis of the mechanisms resulting in demyelination and axonal damage in MS. Validation for the genetic relevance of SLC1A3 to MS. We set to test if there is any genetic relevance of SLC1A3 to MS. Before SLC1A3 was brought up by the LA method, our fine mapping effort focused on a more telomeric region (between 10.3 and 17.3 Mb) of 5p, which had provided the highest two-point lod scores in Finnish MS famili es (22) . Guided by the LA findings, we further included five SNPs flanking the SLC1A3 gene (Table 2) to be genotyped in our primary study set consisting of 61 MS famili es from the high risk region of Finland. The most 5ΥSNP, rs2562582, located within 2kb from the initiation of the SLC1A3 transcript showed initial evidence for association to MS (p=0.005) in the TDT analysis, sugges ting a possible functional role of this variant in the transcriptional regulation of this gene. Moreover, as shown in Table 2, stratification of the Finnish MS famili es according to the strongest associating SNP on the HLA region23, rs2239802, strengthened the association between the SLC1A3 SNP and MS (p=0.0002, TDT). Thus, based on LA, and supported by association analyses in an MS study sample, the presence of SLC1A3 serves to connect all four major MS loci identified in Finnish families, elucidating a potential functional relationship between genetically identified genes and loci. © 20 07 N at ur e P u bli sh in g Gr o u p htt p:/ /w w w. na tur e. co m/ na tur eg en eti cs Interleukin 7 rece ptor a chain (IL7R) shows allelic and functional association with multiple sclerosis 1, 9 1, 9 2 3 1 1 Simon G Gregory , Silke Schmidt , Pune et Seth , Jor ge 6R Oksenberg , Joh n Ha rt , Angel a Proko p , 3 4 5 3 7 Stacy J4 Caillie r , Maria Ba 4n , An Goris , Lis a F Barc ello s , Robin Lin col n , Jacob L McCauley , Ste phen J 5 3 2 Sawcer , D A S Co8 mpston , Ben edicte Dubois , Ste ph en L Hauser , Maria no A Garcia-Bl an co , Margaret 7 A Pericak -Vance & Jon atha n L Hain es , fo r th e Mu ltiple Sclerosis Gen eti cs Group Multip l e sclerosis is a demyeli nat ing neu rodeg ener at ive di sease with a strong genet ic comp onen t. Previo us genet ic risk studi es have faile d to ident ify con sis tent ly li nke d regio ns or genes ou tsi de of the majo r histocompat ibi lity comp lex on chromosome 6p. We describe alle li c assoc iat io n of a pol ymorphism in the gene enc odi ng the interleu ki n 7 receptor a chain (IL7R) as a sig niήcant ris k Π7 factor for multip le sclerosis in four indep end ent family-based or case-con trol data set s (overall P ¥ 2.9 ¾ 10 ). Further, the li kely causal SN P, rs68 9793 2, located within the alternat ively sp liced exon 6 of IL7R, has a funct io nal effect on gene expressio n. The SN P inί uenc es the amount of sol uble and membrane-bo und isoforms of the protein by p utat ively di sru pting an exoni c sp lic ing sile ncer. Multip l e sclerosis is the prototyp ical human demyeli nat ing di sease, whic h requi res multip l e sourc es and typ es of positiv e evi denc e to and numerou s ep idemiolog ical, adop tio n and twin studie1 s have imp licate a candi date ge ne, can be used to integ rate bo th statist ical provi ded evi denc e for a strong und erlying genet ic lia bil ity .The an d funct io nal data. di sease is most common in y oun g adults, with 3 more than 90 % of Using genomic converge nce , we identi ήed 28 genes that were affected individ uals dia gnosed before the age of 55, and fewer than 5% differentially expressed in at leas t two of nine previo us expressio n dia gnosed before the age of 14.2 Females are two to three times more studie s (Sup plementar y Table 1 onli ne). We focus ed on thre e genes freque nt ly affected than male s , and t he dis ease course can vary (interle uki n 7 rece ptor alp ha chain (IL7R) [MIM: 14666 1], matrix su bs tant ially , with some affected in divid uals suffering on ly minor metallo p roteinase 19 (MM P19) [M IM: 6018 07] and chemokine (C-C di sabil ity several deca des after their initial dia gnosi s, and others motif) li gand 2 (CCL2) [M IM: 15 810 5]) that had a p revio us ly reaching wheelc hair depende ncy short ly after di sease onset. The p ubl ished or inferred funct ional role in multip le sclerosis and that complex etiolog y of the di sease and the current ly undeήned molecular were not located within the M HC. Two of the three genes locali ze to mechanisms of mult ip l e sclerosis sug gest 4 that moderate contrib ut ion s previo us regio ns of gen eti c li nkag e on 17q1 2 (CCL2) and 5p13.2 from mult ip l e risk loci u nderlie the 5 develo p ment and progress io n of (IL7R) . We analy zed a large dat a set of 760 US familie s of Eu rop ean the di sease. descent, including 1,05 5 individ uals with multip le sclerosis, and Many different approach es, includi ng genet ic li nkag e, can di date id enti ήed a sig niήcant assoc iat io n with multip le sclerosi s sus ceptib il ity ge ne associat io n and gene expressio n studie s, have been used (sum-on ly for a nons ynonymou s codi ng SN P (rs68979 32) withi n a key marized in ref. 2) to ident ify the genet ic bas is of multip le sclerosis. transmembrane domain of IL7R. We subsequent ly rep li cated this Howev er, gen et ic li nkag e screens have faile d to ident ify con sis ten t in iti al sig niήcant associat io n in three ind ep enden t European p op ula regio ns of linkag e out side of the majo r histocompat ibil ity comp lex tions or populat ion s of European descent: 43 8 individ uals with (M HC). Candi date gene studie s have suggeste d over 100 different mult ip l e sclerosis and 47 9 unrela ted control s ascertained in the U nited associa ted ge nes, bu t ther e has n ot been consensu s acceptance of any States, 1,338 individ uals with multip le sclerosis and thei r parent s such candidates. Similarly, gene express io n studie s have identi ήed ascert ained in nort her n Europ e (the UK an d Belgi um) and 1,0 77 hund reds of differentia lly expres sed transcrip ts, with li ttl e cons istency individ uals with multip le sclerosis and 2,7 25 unrela ted control s also across studie s. The altern at ive approach of genomic 3 conv erge nce , ascertained in nort her n Europe. We show that rs68 9793 2 affects 1 2 Ce nter for Human Genetics, and Center for RNA Bi olo g y and Departme nt of Molecular Genetics an d Microbiolog y, D uke University Med ical Center, Durham, North Variation in interleukin 7 receptor a chain (IL7R) inί uences risk of multiple sclerosis 1 2 3 1,3 3 Frida Lund mark , Kristina Duvef elt , 5Ell en Iacobaeus , Ingrid Koc kum , Erik Wall stro¬m , Mo hsen 3 4 6 7, 8 8 9 Kh ademi , An net te Oturai , Lars P Ryder , Janna Saarela , Ha nne F Ha rbo , Elis abeth G Cel ius , Hugh Salter , 3 1 T o mas Olsson & Jan Hill ert Multip l e sclerosis is a chr onic, often di sabli ng , di sease of the central ner vous system affecting more than 1 in 1,000 peop le in most west ern coun trie s. The inί ammatory les io ns typical of multip le sclerosi s show aut oimmune features and dep end part ly on genet ic factors. Of these ge neti c factors, on ly the HLA ge ne comp lex has been repeatedl y conήrmed to be associa ted with multip le sclerosi s, des p ite cons id erable efforts. Pol ymorphisms in a number of non-HLA genes have been reported to be assoc iated with multip le sclerosis, bu t so far conήrmation has been difήcult . Here, we report comp elli ng evi dence that p olymorp hisms in IL7R, whic h enc odes the int erleuki n 7 receptor a chain (IL7Ra), ind eed contrib ute to the non-HLA ge netic risk in multip le sclerosis, demons trat ing a role for this p athway in the p atho physio log y of this di sease. In additio n, we report altered express io n of the genes enc odi ng IL7Ra and its li ga nd, IL7, in the cerebrosp inal ί uid compartment of in divid uals with multip le sclerosis. in divid uals with mul tip le scl erosis and 2 ,6 34 h ealthy c o nt rols from th e N o rdic cou n tries (D enmark , Fin land, N orw ay a nd Sw ed en), indepen den t from the data set analyzed in ref. 4 (Sup plementary Table 1 onli ne). Of these, 91% of the affected individ uals had experie nced an init ia lly rela psing remitting course of multip le sclerosis (RRMS), whereas 9% had a p rimary p rogress iv e course (P PMS). In additio n, we analy zed the express io n of IL7R and IL7 in the peripher al bloo d as well as in cell s from the cerebrosp inal ί uid (CSF). We gen otyped the three previo us ly ass ocia ted SNP s, locat ed in intron 6 (rs98710 6 and rs98 7107) and exon 8 (rs 319405 1). rs98 710 6 and rs3194 051 were in hig h li nk age di sequ ilib2 rium (LD) 2 (r ¥ 0.99 , |DΆ ¥ 1.00| ), and rs98710 7 was in partial LD (r ¥ 0.29, |DΆ ¥ 0.99|) w ith rs9871 06 a nd rs3 19405 1, as they were l ocated in the same hap lo type bl ock. The size of the study allo wed full p ower (100 %) to detect an odd s ratio (OR) of 1.3. All SNP s were genotyp ed us ing the Sequenom hM E assays. The ob served contro l genotyp es conformed to Hardy -We inb erg equ ilib rium. All three SN P s conήrmed sig niήcant associat io n with multip l e sclerosis in IL7Ra (also kn own as CD12 7), enc oded by IL7R,is a member of the this nonoverla p p ing case-con trol g roup, with very similar ORs as in t he previo us study (rs9871 07, P ¥ 0.002 ; rs 98710 6, P ¥ 0.001 ; type I cytoki ne receptor family and forms a receptor comp lex with the common cytoki ne receptor gamma chain (CD13 2) in whic h IL7 rs31 9405 1, P ¥ 0.002). A tes t for heterogeneity bet ween the dat a 1 set s from Norway, Denmark, Finla nd and Sweden showed no is the li gand . The IL-7ΠIL 7Ra li gand -rece ptor p air is crucial for evi denc e of strati ήcat io n, thu s permitting a combined analysi s proliferat io n and survi val of T and B lymphocytes in a (Mantel-Haen szelΠco rrect ed and crud e ORs are shown in Table 1 ). no nredund ant fashio n, as shown in human and animal models, in2 We est imated the three-marker hap lo type frequ encie s us ing the EM whic h ge netic aberrat io ns lead to immune deήcie ncy synd romes . 5 alg orithm in Hap lovi ew .The estimated di strib ut io n of ha p lo typ es IL7R is located on chr omosome 5p13, a regio n 3occas io nally differed s ig niήcant ly bet ween affected individ uals and controls (P ¥ suggest ed to be li nk ed with multip le sclerosis . 0.00 1), with two ha p lo typ es assoc iat ing with multip l e sclerosis, We hav e cons id ered IL7R a promising can di dat e gene in multip le one conferring an increased risk of disease (P ¥ 0.000 4) and the sclerosis, and we have recent ly reported genetic associat ion s other conferring a decr eased risk of disease (P ¥ 0.003 ) with three IL7R SN P markers in up to 67 2 Swedish individ uals (Sup plementary Table 2 onli ne), in accordance with previou s with multip l e sclerosis and 672 control s, as well as two 4 4 resu lts . assoc iated hap lo typ es spann ing these markers . To co nήrm t h ese Accordi ng to data from the HapM ap CEU pop ulat io n, IL7R is as sociat ions, we assessed an independent case-control gro up consisting of 1 ,8 20 located within a tig ht LD bl ock conta ining no addi tio nal g enes. To International MS whole genome association study(2007). • Affymetrix 500K to screen common genetic variants of 931 family trios. • Using the on-line supplementary information provided, we found two SNPs, rs4869676(chr5:36641766) and rs4869675(chr5: 36636676 ) with TDT p-value 0.0221 and 0.00399 respectively, are in the upstream regulatory region of the SLC1A3 gene. • In fact, within the 1Mb region of rs486975, there are a total 206 SNPs in the Affymetrix 500K chip. No other SNPs have p-value smaller than that of rs486975. • The next most significant SNPs in this region are rs1343692(chr5:35860930), and rs6897932(chr5:35910332; the identified MS susceptibility SNP in the IL7R axon). • The MS marker we identified rs2562582(chr5: 36641117) is , less than 5K apart from rs4869675, but was not in the Affymetrix chip. A little bit late • IL7R was found long time ago before by LA !!!See the attached the e-mail ハ sent more than two years ago in 2005 !!! • Begin forwarded message:From: Ker Chau Li (local) <kcli@stat.ucla.edu>Date: March 28, 2005 10:17:51 AM PSTTo: Robert Yuan <syuan@stat.ucla.edu>, Aarno Palotie <APalotie@mednet.ucla.edu>, Daniel Chen <pharmacogenomics@yahoo.com>, Denis Bronnikov <denis@ucla.edu>, Palotie Leena <leena.peltonen@ktl.fi>Cc: Ker Chau Li (local) <kcli@stat.ucla.edu> • Subject: IL7R (I thought this e-mail should have been sent out already; but it has not)I take X=SLC1A3, Y=MBP, Z= any gene, using 2002 Atlas data. Two genes are from the short list of genes with highest LA scores.IL7R interleukin 7 receptor and HLA-A IL7R is at 5p13. Interesting coincidence?? other interesting findings include GFAP glial fibrillary acidic protein on 17q21 (Alexander disease)GRM3 (glutamate receptor, metabotropic )CDR1 (cerebellar degeneration-related protein 1)Ighg3 (immunoglobulin heavy constant gamma 3)Iglj3 ( immunoglobulin lambda joining 3) Figure 3. Organization chart for incorporating LA with similarity based methods. Coexpressed genes found by profile similarity analysis can be pooled together to obtain a consensus profile for LA-scouting. Likewise, the genes identified through LA system can be further analyzed for patterns of clustering. For some applications, the scouting variable may come from external sources related to the expression profiles. SVD: singular value decomposition; PCA: principal component analysis. Full genome expression prof iles Similarity based analy sis co-expression neighbors hierachical cluster eigen prof ile by SVD or PCA; etc. LA-based analy sis Finding LA-scouting genes f or a giv en pair of genes Finding LAPs f or a giv en scouting v ariable Z Using a consensus prof ile as Z using a gene prof ile as Z Using an external v ariable as Z Similarity based analysis III Correlating gene-expression with drug-responsiveness c.line1 c.line2 …….. C.linep gene1 gene2 drug1 drug2 x11 x21 x12 …….. x1p x22 …….. x2p … … y11 y12 ………… y1p y21 y22 ……………y2p ….. Experiment procedure Rate of inhibition (Ti Tz ) 100 (C Tz ) 48 h at 37°C Tz = 6 cells C = 12 cells E.g.: (9-6)/(12-6)*100=50 GI50 is x Drug added at x (M) 48 h at 37°C Tz = 6 cells Ti = 9 cells GI50 is the concentration of the drug needed to inhibit the growth of the cells up to 50% Drug sensitivity is defined as: -log(GI50) Example of Drug Sensitivity Data Sensitivity profile Cell Line 89 89 89 89 89 89 89 89 89 ,M ,M ,M ,M ,M ,M ,M ,M ,M ,-4.00,Non-Small ,-4.00,Non-Small ,-4.00,Non-Small ,-4.00,Non-Small ,-4.00,Non-Small ,-4.00,Non-Small ,-4.00,Non-Small ,-4.00,Non-Small ,-4.00,Non-Small Cell Cell Cell Cell Cell Cell Cell Cell Cell Lung Lung Lung Lung Lung Lung Lung Lung Lung ,NCI-H23 ,NCI-H522 ,A549/ATCC ,EKVX ,NCI-H226 ,NCI-H322M ,NCI-H460 ,HOP-62 ,HOP-18 GI50 ,1 ,1 ,1 ,1 ,1 ,1 ,1 ,1 ,1 ,1 ,3 ,4 ,8 ,13 ,17 ,21 ,26 ,27 ,4.209,3 ,6.159,3 ,4.186,3 ,4.255,3 ,4.231,2 ,4.000,3 ,4.233,3 ,4.000,3 ,4.249,3 ,3 ,3 ,3 ,3 ,2 ,3 ,3 ,3 ,3 ,0.361 ,1.696 ,0.322 ,0.442 ,0.326 ,0.000 ,0.403 ,0.000 ,0.431 Drug Sensitivity profile • For each chemical compound, the tests are done for all 60 cell lines listed previously. • For each cell line and each compound, there were multiple experiments performed to obtain the average drug concentration. Drug Sensitivity profile (cont.) • Drugs with similar profiles usually share similar molecular structures and biochemical mechanism of actions. (R. Bai et al. 1991, K. D. Paull et al. 1992, H. N. Jayaram et al., 1992) • Similarity is measured by Pearson’s correlation coefficients. • COMPARE ( gateway to NCI’s anticancer screen database) Compare Drug sensitivity and Gene expression profiles • Sherf et. al. (2000) compare gene expression profile with the drug sensitivity profile by computing correlation coefficient. • 9706 genes in the expression data set. • 118 chemotherapy agents with known molecular mechanism of drug action • Genes whose profiles correlate well with drug sensitivity profiles are thought to be related to drug functioning. Why? Figure 1. Gene-drug interaction drug target genes, known genes in related pathways, other genes, metabolites and others drug dose nutrients other growth conditions initial cellular status drug exposure drug transport, target binding cytotoxicity cell cycle arrest, apoptosis drug resistance rate of cell growth pharmacokinetics, metabolism, signal transduction, complex dynamics 48 hours later drug sensitivity -log GI50 In the NCI anticancer screen, each candidate agent is tested for a broad concentration range against each of the 60 cell lines in the panel. More than 60,000 agents have been screened. Similarity comparison : Computer program "COMPARE:each compund is compared with others and a list of agents with similar patterns in responsiveness in inhibiting growth inhibition is given, Limitation of Pearson’s Correlation Coefficient (CC) • Many drugs do not correlate well their molecular target genes. • The pair, MTX and DHFR, has only 0.071. Liquid Association (LA) is used to understand the relationship between MTX and DHFR. Methotrexate childhood acute lymphoblastic leukemia (ALL), non HodgkinΥs lymphoma, osteogenic sarcoma, chorocarcinoma and carcinomas of breast, 7 head and neck . The b inding of MTX and it s polyglutamated forms to its MTX has been used for treatment of primary target DHFR inhibits the reduc tion o f folate and 7,8-dihyd rofo late (DHF) to 5,6,7,8-tetrahydro folate(THF). The inhibiti on in turn results in the quick conv ersion o f all of a cellΥs limit ed supp ly of THF to DHF by thymi dylate syn thase (encoded by TYMS) reaction (Figure 2, left panel). This prevents further dTMP synthes is . Inhibition of DNA component synthesis • X is chosen to be a drug. Y is chosen to be the target gene which encodes the protein known to participate in drug’s activity. • E.g. MTX (Methotrexate) and DHFR (Dihydrofolate Reductase). MTX NADPH+H+ NADP DHFR DHF dTMP + THF TYMS N5,N10–Methylene-THF RNA to DNA U to T 5FU dUMP MTX, DHFR,TYMS Table S.1 Genes with high LA scores for MTX, DHFR, TYMS Table S.1 (A) Table S.1 (B) M TX DHFR Z MDA5 MEF2D NA-6915 NA-1878 NA-1684 MFGE8 KIAA0337 TESK1 KIAA0555 ZFPL1 EHD2 RER1 DDAH2 NA-728 NA-671 SPTB APOC1 RAB2L CNTNAP1 LAP 0.4062 0.3755 0.3746 0.3699 0.3659 0.3655 0.3647 0.3612 0.3585 0.3548 0.3521 0.3435 0.3343 0.3327 0.3227 0.3208 0.3196 0.3117 0.3103 Z KIAA1706 CCNH NA-3315 TXN FLJ10035 EIF4E COX11 NA-1802 PCSK7 MGC21874 KIAA1354 C2 NA-1844 DPP4 WHSC2 C9orf10 FLJ20156 KIAA1078 MST4 NA-4135 0.3102 ABCE1 Table S.1 (C) M TX TYMS LAP -0.4263 -0.3878 -0.3869 -0.3832 -0.3832 -0.3675 -0.359 -0.3581 -0.3505 -0.3487 -0.343 -0.3428 -0.3422 -0.3324 -0.3321 -0.3294 -0.3294 -0.3289 -0.3263 Z DGSI RANBP1 MAPK1 UFD1L HTF9C NA-1390 KPNA1 PPIL2 NA-6953 ATP6V1E1 GHR IFRD2 CDK4 BHC80 MRPL49 SERHL HIRA HSRTSBETA COPA -0.3255 NA-1676 LAP 0.391 0.3566 0.3412 0.3375 0.3298 0.324 0.3225 0.3035 0.3021 0.2934 0.2931 0.285 0.2835 0.2802 0.2776 0.2742 0.2685 0.2647 0.2645 Z NA-6043 NA-4504 KIAA0276 NA-3333 ATP2B1 RAB31 CRIP2 TXNRD1 MGC2721 TNFRSF19L CYP2C9 ABI-2 AEBP1 SPAG9 NA-2843 APPBP2 FOXP1 GSTZ1 HAN11 0.2639 CORO2B DHFR TYMS LAP -0.3016 -0.3 -0.2998 -0.2969 -0.2889 -0.287 -0.2768 -0.2752 -0.2732 -0.2732 -0.2689 -0.2686 -0.2674 -0.2619 -0.2614 -0.2603 -0.2601 -0.259 -0.257 Z NA-1837 NA-2696 NA-2283 TEM8 TOX SLC9A6 NA-9327 MSN TMEFF1 NA-6473 TBC1D5 SUSP1 IGFBP3 EDN3 FLJ10392 NA-5323 FST PRKACB FAF1 -0.2558 MSCP LAP 0.4559 0.4421 0.4276 0.415 0.4147 0.4048 0.3995 0.397 0.3931 0.3831 0.3803 0.3736 0.3675 0.3643 0.3633 0.3629 0.3601 0.3582 0.3581 Z CSTB CRYL1 NA-1556 GJA5 HPX MYO15B M17S2 NA-6537 MRPL12 ICA1 GPCR1 HRASLS3 MAD FLJ22283 LYZ TXN RNF13 LOC51133 SERPINA6 0.3581 DAB2IP LAP -0.3975 -0.3925 -0.3903 -0.3903 -0.3868 -0.3848 -0.3837 -0.3827 -0.3788 -0.3757 -0.3721 -0.3704 -0.3702 -0.3692 -0.3679 -0.3666 -0.3665 -0.3661 -0.3656 -0.3638 Pathway for TXN and TXNRD FAD NDP TXN oxidized TXN reduced FADH2 NADP+ RNR reduced TXNRD reduced NADPH TXNRD oxidized dNDP RNR oxidized MTX-sensitivity and the co-expression pattern of DTTT subsystem. • TXN and TXNRD1 encode thioredoxin and thioredoxin reductase respectively. • Together with DHFR and TYMS, they form a subsystem (abbreviated DTTT) that critically regulates the biosynthesis of DNA components8 • The role of the thiol-disulfide redox regulation in tumor growth and drug resistance is reviewed in Reference (9). Projective LA ( PLA) Schematic illustration of LA high(+) Fig2-Top s tate1 low(-) gene Y transit s tate2 Linear (state1 ) Linear (state2 ) low(-) gene X high(+) condition Fig2-Bottom lo w (-) ge ne Z hig h(+) Projection-based LA for studying a group of genes Y (second projection) Second projection First projection X (first projection) mediator Z Figure 2 (a) Figure 2(b). X : vector of p variables, X1,…Xp, each measures the expression level of one gene. one-dimensional projection: a’X = a1X1+..+apXp with norm ||a||=1. 2-D projection: a, b be orthogonal : a’b=a1b1+..+apbp=0. Liquid association between a’X and b’X as mediated by Z is LA(a’X, b’X|Z)= E(a’X b’X Z)=E(a’XX’b Z)=a’E(ZXX’)b. Most informative 2-D projection : maximize |a’E(ZXX’)b| over any pair of orthogonal projection directions a, b. solution : eigenvalue decomposition of the matrix E(ZXX’): E(ZXX’) vi = li vi , l1 ≥ ……… ≥ lp vi are eigenvectors and lI are eigenvalues. Theorem. Assume Z is normal with mean 0, SD= 1. Subject to ||a||=||b||=1 and a’b=0, the maximum for the absolute value of LA(a’X, b’X|Z) is (l1 - lp)/2. The optimal 2-D projection is given by a=(v1+vp )/√2 (or -a), b= (v1 - vp )/ √2 (or -b). An website for co-mining public and in-house data http://kiefer.stat2.sinica.edu.tw/LAP3 Data sets • Organisms : – Primary: homo sapiens ; mouse; yeast – Others: C. elegans; arabidopsis; e. coli • Homo sapiens: 17 datasets (more are added now) – – – – – – 60 cell line_Affy: 60 conditions, 5611 genes 60 cell line cDNA: 60 conditions, 9706 genes GNF_atlas (2002): 101 conditions, 12536 genes GNF_atlas(2004): 158 conditions, 33689 genes Human eQTL (B-cell): 355 conditions, 8793 genes Lung caner : 4 data sets: • • • • Bhattacharjee et al : 203 conditions, 12600 genes Beer et al : 96 conditions, 7129 genes Gaber et al: 73 conditions, 23079 genes Wigle et al: 39 conditions, 18117 genes Facilities • Basic – Correlation for a pair of genes – Liquid association for a triplet of genes • Enhancement – Advanced search methods • Gene symbols; gene locations; gene ontology; regulation (Transfac); locus link – Compute • Variations in computing LA scores – Liquid association (default) – Projective LA (for multiple genes) » Transformation – LA scouting genes • Correlation only – Raw data; normal transformation • Clustering: k-mean, hierarchical clustering, self-organizing methods ( still testing) Facilities-continued • Post-LA refining tools – Summary • Counts, histogram, GO, Pathway (still testing) – Correlation – Liquid association • • • • Instant link to Entrez Genes or SGD(yeast only) Liquid association graphs (two methods ) Save Info – (gene annotation, from public domain) Gene_sym, Gene-Name, chrom, start, stop, etc. – (expression data, computed) Indices, Ranks, Quantitles, Rank_LAP, Rank_Corr, – Transfac – GO term (for yeast now) • Compute – Correlation matrix (raw or normalized) – Clustering (K means; hierarchical ) Facilities (continued) • P* : permutation with 50,000 iterations (testing ) • P** : permutation with 1,000,000 (does not work yet) • Download (create excel files for exporting…) – MAP (chromosome locations of output genes) • Alert system – – – – MS markers MS candidate genes Yeast genetics User added system (talk to us) • Disease pages (work in progress) – Multiple sclerosis • • • • Group by Adding genes Delete; modify Computation methods. Databases, Special tools (under development) • For handling marker data – Converting to binary data • Additional links – Precomputed data • Master LA genes (for limited datasets for now) – Protein Complex data (only in yeast for now) – KEGG pathway Heavy IT involvement is required • • • • • • • • • • • GO term specific investigation KEGG pathway Many large scale lung cancer microarray data sets Gene group of interest identified by internal studies, for example, EMT genes NSCI-60 Cell line data Mouse data MicroRNA data Phenotype and clinical variables Array CGH data, SNP data Different diseases Cross platform LAP background • 2002-2006 : LAP1 and LAP2 websites at UCLA, Robert Yuan • 2007 : recruitment of IT persons : including Guan I (hardware ), Ing-Fu (hardware), and three outstanding RA with master degrees in Computer Science students (two continued their Ph studies in US) to initiate LAP3 which transformed the scope of LAP2 with more advanced web2.0 and other techniques LAP Web Application • A web application for biological researchers – http://kiefer.stat2.sinica.edu.tw/LAP3/ – More than a web database • Search, compute, and data analysis • Create, save, and share LAP projects. – No dedicated platform, no installation • You may use LAP Web Application on any device with web browser Technologies behind LAP Web App. • Distributed computing – Computation is performed by the cluster of computers in MIB group • User does not need a powerful machine • AJAX(Asynchronous JavaScript and XML, intensively used in Web 2.0 applications) – Provide “application-like” web services, better user experience than traditional web services. • Enable interactions between front-end user and backend server facilities. LAP Web App. Features • LAP is more than a biological database – Search and compute! • Supports the following computation methods: – – – – – – – – LAP PLA Correlation Clustering Cox regression PCA P-value Graphs created by R programs. LAP Web App. Features (cont.) • LAP is more than a web site – It’s a web application! – Better user experience • Non-blocking web page – User can continue using LAP web site functions while project is still under computing • Popup tips – Information about the gene pointed by the cursor – Notification of job completion – Tips of icons/tools • Customized user interface/environment LAP Web App. Features (cont.) – Project management • Just like an application – Load/Save the current search/computation project • Session mobility: an active project can be moved around different computing devices – User/Service interaction • User can share their own search/computation result with other users in LAP web site. LAP Web App. Architecture Web browser (user client) User Interface HTML+CSS data JavaScript Call Ajax Engine HTTP Request XML data Web Server + PHP engine SQL Query Commands Query Result Computing Result SQL Query Biological Databases Computer Cluster Query Result Four-tier architecture for LAP Future Work — Toward Web 2.0 • Toward Web 2.0 – More community functions • Users can contribute their own experimental results to enrich the biological database • Users can contribute their own computation method Future Work — Performance improvement • Improve computing performance – Optimization/Parallelization of algorithms • Improve database performance – Database structures – Parallelization of database queries Future Work — Cloud Computing • Toward cloud computing – More computation facilities open to the research community. – Better separation/protection of computing resources Future work – branching out • Experience to share in statistical computing for other project oriented scientific investigation • Echoing the recommendation of “data center” in last review (except that a bottom-up approach is now taken) • Data without affiliated computing tools have very limited use. • Benefit the statistical theory and methodology development • Social network data • Image data, for clinical application, vision study, neuron science, etc • Toward the creation of a cloud environment for statistical computing Four-tier architecture for LAP (Cont.) • Presentation tier – With web browser, end users can get a search of the databases and retrieve the computed outcome • Application tier – With application platform, we provided end-user a highavailability web server cluster. • Database tier – Utilizing EMC storage system, we build up the database cluster with high-availability and large enough space. • Computation tier – With SGE, NFS, NIS and Apache, we set up the computing environment for computing LA score, correlation, clustering etc, running C , R, Java codes. Application tier • The application platform will automatically redirect end-user to the web server of lesser load • Scheduled website backup with storage system Database tier • Through highavailability database cluster, end-user can get a database query in more efficient. • The program in the computation tier can also get the data without affecting the performance of the web site. Computation tier • 280 computing nodes for precomputing large scale data and serving end-user from the web site. • Two submit hosts to increase host availability • Routine backup of the end-user’s projects with storage system of 50 terabytes Supporting various in house research projects • Lung cancer • Tumor invasion study using NSC60 cell lines NCI-60 cell line based integrative computational system for tumor invasion- related genes 許藝瓊博士 中研院統計所 syic@stat.sinica.edu.tw Public domain data mining Laboratory data Genomic data from cancer cell lines (NCI60) and patients NCI60 invasion profile Biological function Animal model Drug development on-line computational system Signature validation Data mining Invasion potential-related gene expression signature, Candidate genes, regulation pathway Future Work — Toward Web 2.0 • Toward Web 2.0 – More community functions • Users can contribute their own experimental results to enrich the biological database • Users can contribute their own computation method Future Work — Performance improvement • Improve computing performance – Optimization/Parallelization of algorithms • Improve database performance – Database structures – Parallelization of database queries Future Work — Cloud Computing • Toward cloud computing – More computation facilities open to the research community. – Better separation/protection of computing resources Future work – branching out • Experience to share in statistical computing for other project oriented scientific investigation • Echoing the recommendation of “data center” in last review (except that a bottom-up approach is now taken) • Data without affiliated computing tools have very limited use. • Benefit the statistical theory and methodology development • Social network data • Image data, for clinical application, vision study, neuron science, etc • Toward the creation of a cloud environment for statistical computing LA related References • • Li, K.C. (2002) Genome-wide co-expression dynamics: theory and application. Proceedings of National Academy of Science . 99, 16875-16880. Li, K.C., and Yuan, S. (2004) A functional genomic study on NCI's anticancer drug screen. The Pharmacogenomics Journal, 4, 127-135. • • • • • • • Li, K.C., Ching-Ti Liu, Wei Sun, Shinsheng Yuan and Tianwei Yu (2004). A system for enhancing genome-wide coexpression dynamics study. Proceedings of National Academy of Sciences . 101 , 15561-15566. Yu , T., Sun, W., Yuan , S., and Li, K.C. (2005). Study of coordinative gene expression at the biological process level. Bioinformatics 21 3651-3657. Yu, T., and Li, K.C. (2005). Inference of transcriptional regulatory network by two-stage constrained space factor analysis. Bioinformatics 21, 4033-4038. Wei Sun; Tianwei Yu; Ker-Chau Li (2007). Detection of eQTL modules mediated by activity levels of transcription factors. Bioinformatics; doi: 10.1093/bioinformatics/btm327 (correspondence author: Li) Yuan, S., and Li. K.C. (2007) Context-dependent Clustering for Dynamic Cellular State Modeling of Microarray Gene Expression. Bioinformatics 2007; doi: 10.1093/bioinformatics/btm457 (correspondence author: Li) Li, KC, Palotie A, Yuan, S, Bronnikov, D., Chen D., Wei X., Choi, O., Saarela J., Peltonen L. (2007) Finding candidate disease genes by liquid association. Genome Biology (in Press). Wei, S., Yuan,S., and Li, K.C. Trait-trait interaction: 2D-trait eQTL mapping for genetic vriation study. BMC Genomics 2008, 9:242 Acknowledgements • Robert Yuan • Former UCLA students : Wei Sun, Ching-Ti Liu, Xuelian Wei, Tianwei Yu • Current biology collaborators: Pan-Chyr Yang (Dean of Medical School, NTU), S.L.Yu, H.W. Chen • Post Docs : Yi-Chiung Hsu, Pei-Ing Hwang, Shang-Kai Tai • Mission specific Research assistants: Guan I Wu, Ying-Fu Ho, (hardware) Hung Wei Tseng (Web 2.0, Ajax) Cin Di Wang, Chia Hsin Liu, Cheng-Tao Chen, Chia Hung Lin, Kang Chung Yang, Shiao Bang Chang, Shian-Lei Ho