Nucleic Acids Research Advance Access published January 23, 2014 Nucleic Acids Research, 2014, 1–16 doi:10.1093/nar/gkt1415
Computational modeling identifies key gene regulatory interactions underlying phenobarbital-mediated tumor promotion Raphae¨ lle Luisier1, Elif B. Unterberger2, Jay I. Goodman3, Michael Schwarz2, Jonathan Moggs1,Re´ mi Terranova1,* and Erik van Nimwegen4,*
1Discovery and Investigative Safety, Novartis Institutes for Biomedical Research, 4057 Basel, Switzerland, 2Department of Toxicology, Institute of Experimental and Clinical Pharmacology and Toxicology, University of Tu¨ bingen, 72074 Tu¨ bingen, Germany, 3Department of Pharmacology and Toxicology, Michigan State University, MI 48824, USA and 4Biozentrum, University of Basel and Swiss Institute of Bioinformatics, 4056 Basel, Switzerland Downloaded from
Received September 25, 2013; Revised December 20, 2013; Accepted December 24, 2013
ABSTRACT INTRODUCTION http://nar.oxfordjournals.org/ Aberrant activity of transcription factors (TFs) is a hallmark Gene regulatory interactions underlying the early of both human (1–3)andmouse(4) hepatocarcinogenesis stages of non-genotoxic carcinogenesis are poorly and is considered as a key intrinsic regulatory mechanism understood. Here, we have identified key candidate underlying epigenetic reprograming associated with cancer regulators of phenobarbital (PB)-mediated mouse development (5). Non-genotoxic carcinogens (NGC) are a liver tumorigenesis, a well-characterized model of group of compounds that do not directly affect DNA (6), but that produce perturbations in the gene expression and non-genotoxic carcinogenesis, by applying a new at University of Basel/ A284 UPK on July 8, 2014 epigenetic state of cells (7–9) which, if given in sufficient computational modeling approach to a comprehen- concentration and duration, facilitate tumor formation, typ- sive collection of in vivo gene expression studies. ically through the promotion of pre-existing neoplastic cells We have combined our previously developed motif into neoplasms (10,11). However, little is known about the activity response analysis (MARA), which models regulatory mechanisms that underly the tumor promotion gene expression patterns in terms of computation- by NGC, particularly regarding the early regulatory changes ally predicted transcription factor binding sites with in response to the carcinogen. singular value decomposition (SVD) of the inferred The anticonvulsant phenobarbital (PB) is a well-estab- motif activities, to disentangle the roles that lished rodent NGC that has been extensively used to in- different transcriptional regulators play in specific vestigate the promotion of liver tumors (12–14). PB biological pathways of tumor promotion. accomplishes its diverse effects on liver function, at least Furthermore, transgenic mouse models enabled us in part, by promoting nuclear translocation of the consti- to identify which of these regulatory activities was tutive androstane receptor (CAR) (15) through inhibition downstream of constitutive androstane receptor of Epidermal Growth Factor Receptor (EGFR) signaling and b-catenin signaling, both crucial components (16). CAR activation is required for the acute and the of PB-mediated liver tumorigenesis. We propose chronic response to PB treatment and for liver tumor for- mation elicited upon prolonged PB treatment (17–21). In novel roles for E2F and ZFP161 in PB-mediated hep- addition to this crucial role of CAR, when liver tumors are atocyte proliferation and suggest that PB-mediated promoted through PB treatment in combination with an suppression of ESR1 activity contributes to the de- initial treatment with diethylnitrosamine (DEN), >80% of velopment of a tumor-prone environment. Our study the resulting tumors harbor activating mutations in b- shows that combining MARA with SVD allows for catenin (22) that stabilize b-catenin, leading to enhanced automated identification of independent transcrip- nuclear translocation and subsequent target gene activa- tion regulatory programs within a complex in vivo tion (23–27). tissue environment and provides novel mechanistic Apart from the crucial roles for CAR and b-catenin in insights into PB-mediated hepatocarcinogenesis. PB-mediated liver tumor promotion, little is known about
*To whom correspondence should be addressed. Email: [email protected] *Correspondence may also be addressed to Re´mi Terranova. Email: [email protected]
ß The Author(s) 2014. Published by Oxford University Press. This is an Open Access article distributed under the terms of the Creative Commons Attribution License (http://creativecommons.org/licenses/by/3.0/), which permits unrestricted reuse, distribution, and reproduction in any medium, provided the original work is properly cited. 2 Nucleic Acids Research, 2014 additional transcriptional regulators that orchestrate the studies (Figure 1a). In all four studies gene expression complex and dynamic PB-mediated gene expression was profiled using Affymetrix GeneChip MOE-4302 programs associated with early molecular responses to (Affymetrix, Santa Clara, CA, USA). The analysis of the PB treatment (28) and long-term PB tumorigenic effects micro-array data was done with the R statistical package, (12–14). version 2.13 (2005) and Bioconductor libraries, version In this study, we have elucidated gene regulatory inter- 1.4.7 (44). actions underlying dynamic PB-mediated transcriptional responses during the early stages of liver non-genotoxic From gene expression matrices to motif activity matrices carcinogenesis by integrating multiple gene expression datasets from independent in vivo mouse PB studies. Our Matrices of activities for 189 mammalian regulatory primary dataset consists of an early kinetic study (seven motifs across all samples were inferred from the time points across 91 days of PB treatment) originally RMA-normalized expression matrices using the MARA designed to investigate the temporal sequence of molecu- algorithm (29)(Figure 1b and c). MARA models lar and histopathological perturbations during the early genome-wide gene expression patterns in terms of pre- stages of PB-mediated liver tumor promotion in vivo dicted functional Transcription Factor Binding Sites (9, 28). Several challenges are associated with the extrac- (TFBSs) within proximal promoter regions (running Downloaded from tion of key gene regulatory interactions from gene expres- from 300 to +100 relative to transcription start) of the sion time course data. First, we needed to identify the 40 300 promoters. The model assumes that the expression relative contributions (activities) of specific transcriptional eps of a promoter p in sample s is a linear function of the regulators underlying the observed genome-wide gene ex- predicted numbers of binding sites Npm for each motif m in pression changes. This was achieved using our recently promoter p and the (unknown) activities Ams of each of http://nar.oxfordjournals.org/ developed motif activity response analysis [MARA, the motifs m in sample s, i.e. X (29)]. MARA capitalizes on sophisticated computational ¼ ~ methods, developed over the last decade (30), that allow eps cs+cp+ NpmAms comprehensive prediction of binding sites for hundreds of m mammalian TFs across all mammalian promoters (31). where cp reflects the basal activity of promoter p and c~s is a Using such computational predictions, MARA models normalization constant corresponding to the total expres- observed gene expression patterns explicitly in terms of sion in sample s. The activities Ams, as well as error bars the predicted regulatory sites and uses this to infer the Ams on these activities, are thus inferred from the at University of Basel/ A284 UPK on July 8, 2014 regulatory activities of TFs. A number of recent studies measured expression data eps and the predicted binding (32–43) demonstrate that this approach can successfully sites Npm. The number of functional TFBSs Npm was pre- identify key regulators ab initio across different model dicted using the Bayesian regulatory site prediction algo- systems of interest. rithm MotEvo, which incorporates information from A second challenge was to disentangle the complex orthologous sequences in six other mammals and uses range of PB-mediated gene expression programs in explicit models for the evolution of regulatory sites (30). mouse liver tissue that are associated with distinct biolo- The 189 regulatory motifs represent binding specificities of gical events including xenobiotic responses, tumor promo- roughly 350 different mouse TFs. Besides the motif tion and tumorigenesis. activities, MARA also calculates a z-score quantifying Here, we show that combining MARA with singular the significance of each motif in explaining the observed value decomposition (SVD) allows for automated expression variation across the samples, the target genes of disentangling of independent transcription regulatory each motif, and the sites on the genome through which the programs within a complex in vivo tissue environment. regulators act on their targets. We were able to successfully infer key gene regulatory Formally, the activity Ams corresponds to the amount proteins for xenobiotic responses, tumor promotion and by which the expression eps would be reduced if a binding end-stage tumors as well as assess their genetic dependence site for motif m in promoter p were to be removed. Thus, on CAR and b-catenin signaling pathways. an increasing activity is inferred when its targets show on Collectively, our analyses provide novel mechanistic average an increase in expression, that cannot be ex- insights into PB-mediated tumor promotion in the mouse plained by the presence of other motifs in their promoters. liver, including a proposed role of E2F and ZFP161 in The details of the method are described elsewhere (29). An regulating PB-mediated hepatocyte proliferation at both overview of the analysis strategy and an outline of the early and tumor stages and progressive PB-mediated sup- MARA approach are depicted in Figure 1. pression of ESR1 activity that likely contributes to the development of a tumor-prone environment. Detection of differential motif activity between pairs of conditions MATERIALS AND METHODS We quantified the differential motif activity between two conditions using a z-statistic as Gene expression datasets and Affymetrix GeneChip processing Amc1 Amc2 zm c ¼ qffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffi A library of 109 genome-wide messenger RNA (mRNA) A2 + A2 expression patterns was compiled from four different mc1 mc2 (a) (c)
(b)(d) uli cd eerh 2014 Research, Acids Nucleic
Figure 1. Overview of the analysis strategy for predicting TF activities from gene expression data. (a) Schematic representation of the four toxicogenomic datasets used in this study. Each row corresponds to an independent experimental treatment with gray indicating PB treatment and white indicating control treatment. Time is indicated along the horizontal axis on the bottom and the black dots indicate the times at which samples were taken for transcriptomic profiling. Colored dots indicate whether the study involved WT animals (black), liver-conditional b-catenin null mice (green), CAR null mice (red) or tumor cells (blue). The mouse strain used in each of the studies as well as the presence or absence of DEN treatment is indicated on the left-hand side. Multiple biological replicates were performed for each of the studies. (b) Outline of the MARA approach. Using measured intensities of micro-array probes together with known gene structures, MARA first estimates the log-expression eps from each promoter p in each sample s. Second, MARA makes uses of comprehensive computational predictions of transcription binding sites in mammalian promoters, with Npm denoting the total number of predicted regulatory sites for motif m in promoter p. MARA then models the expression levels eps as a linear function of the numbers of computationally predicted binding sites Npm and unknown ‘motif activities’ Ams of each motif m in each sample s. That is, the algorithm uses the linear model to infer the motif activities Ams .(c) Overview of the computational analysis applied to our combination of datasets. First, MARA is applied to all expression datasets and motif activities Ams are inferred for all motifs across all samples. These motif activities are then further subjected to SVD analysis and analysis of various contrasts ( z). (d) Examples of inferred motif activities along the time 91-day time course. Each panel corresponds to one motif, with the name of the TF indicated on top of the panel and its sequence logo as an inset. Black and gray lines are predicted activities in 3
PB-treated and control samples, respectively.
Downloaded from from Downloaded http://nar.oxfordjournals.org/ at University of Basel/ A284 UPK on July 8, 2014 8, July on UPK A284 Basel/ of University at 4 Nucleic Acids Research, 2014
(a) where A mc is the averaged motif activity profile over rep- licates for condition c and motif m and Amc is the stand- ard error on the corresponding motif activity, which is computed using a rigorous Bayesian procedure (Balwierz, PJ. et al, manuscript under review). The z- values quantify the evidence for a change in regulatory activity of the motif between the two conditions. That is, (b) if zm c is highly positive it indicates that predicted targets of motif m are upregulated in condition c1 relative to con- dition c2, in a way that cannot be explained by the activities of other regulators. We consider motifs differen- tially active if jzj 1:5. (c) In order to avoid any confounding batch effects, we only calculate differential activities across conditions from the same dataset. Comparing activities between Downloaded from treated and control samples at different timepoints of the kinetic study allowed for the identification of PB- mediated dysregulated TFs at the early stage of PB treat- ment. Comparison of activities between wild-type (WT) Figure 2. Schematic representation of contrasts applied for differential and CAR/b-catenin null in physiological conditions, i.e. motif activity analysis of each dataset. The color of the dot indicates without treatment, identified motifs whose activities are whether the sample is WT (black), b-catenin KO (green), CAR KO http://nar.oxfordjournals.org/ modulated upon KO of the respective TF (Figure 2a (red) or tumor (blue). White boxes correspond to control samples and c). We consider such motifs to be downstream of and gray boxes to PB-treated samples. The arrows show which pairs of samples are compared for each contrast and point to corresponding the b-catenin/CAR pathways in physiological conditions. rows with example motif activity changes (blue corresponding to Similarly, comparison of activities between PB-treated downregulation z < 1:5, pink to upregulation z > 1:5 and white no and non-treated samples allowed for the identification of significant change jzj < 1:5). (a) Motif activities from the CAR KO motifs that are dysregulated by PB treatment. By further study are compared to identify regulators downstream of the CAR comparing the changes in motif activities upon PB treat- pathway under physiological conditions and under PB treatment. (b) Motif activities from the tumor study are compared to identify ment for both WT and CAR-null samples, we can identify promoted tumor-specific regulators. (c) Motif activities from at University of Basel/ A284 UPK on July 8, 2014 motifs dysregulated by PB in a manner that is independent the b-catenin KO study are compared to identify downstream regula- of CAR signaling and motifs whose dysregulation is tors of the b-catenin pathway under physiological conditions. downstream of CAR (Figure 2a and c). Comparison of activities between promoted tumors and surrounding PB- treated tissue identified motifs dysregulated in promoted and those corresponding to control-treatment gray, tumors; comparison of activities between non-promoted e.g. Figure 1d. This visualization facilitated the biological tumors and surrounding non-treated tissue identified interpretation of the singular vectors. Biological interpret- motifs dysregulated in liver tumors irrespective of PB ation was further facilitated by identification of the regu- treatment. Motifs uniquely dysregulated in promoted latory motifs whose activity profiles correlate most tumors were classified as promoted tumor-specific regula- strongly (either positively or negatively) with the activity tors (Figure 2b). profile of the singular vector.
Characterization of PB-mediated early motif Identification of representative motifs of the activity profiles singular vectors SVD of the motif activities As the right singular vectors form an orthonormal basis of We performed SVD of the activities of the 189 motifs the space of activity profiles, the projection of a given across the seven timepoints in PB- and vehicle-treated motif activity profile onto a right singular vector indicates livers, i.e. a matrix A containing 189 rows and 14 how strongly the motif’s activity profile overlaps with the columns. SVD resulted in a decomposition, A ¼ U V, basis vector specified by the singular vector. The projec- where is a diagonal matrix containing the singular tions of the motif activity profiles a~ onto right singular values, U and V contain the orthonormal bases defined m v~ q ¼ a~ v~ by right and left singular vectors of A, respectively. Each vectors k are calculated as mk m k and these values ¼ motif activity profile a~ with ða~ Þ ¼ A can be thought are readily obtained from the SVD results as AV U m m s ms ¼ð Þ of as a linear combination of the right singular vectors such that qmk U mk. We additionally computed Pearson correlations fv~kg. between the motif activity profiles a~m and the right Visualization and interpretation of the SVD results singular vectors v~k. As the vectors v~k are linear combin- To visualize the right singular vectors fv~kg, we plotted the ations of theP motif activity profiles a~m that are mean activities vks on the vertical axis as a function of the time centered, i.e. s ams ¼ 0, these are also mean centered. corresponding to each sample s on the horizontal axis and Consequently, the Pearson correlation coefficients can coloring all samples corresponding to PB treatment black, also be readily obtained from the SVD results as Nucleic Acids Research, 2014 5
qPffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffi 2 composed of livers from WT and b-catenin-null C3H ¼ q = 0 ðq 0 Þ . As the activity profiles of differ- mk mk k mk male mice enabled us to investigate which of the identified ent motifs have different overall ‘lengths’, the projections TFs were downstream of b-catenin in physiological condi- and Pearson correlations do not carry identical informa- tions. In both the CAR KO and tumor studies, mice were tion. Motifs with large activities tend to have high DEN-initiated at 4 weeks of age. absolute projections with a given singular vector, even if the motif activity profile is not similar to the activity Identifying PB-modulated activities of transcriptional profile of the singular vector. In contrast, a motif with regulators using MARA small activities will tend to have low projections, but may have a high correlation with a given singular vector. MARA is a general method for inferring the activities of a In order to identify representative motifs for each large collection of mammalian TFs (as represented by their singular vector, motifs were ranked according to both pro- DNA binding ‘motifs’) by modeling gene expression data in jection and correlation scores. The highest (most positive terms of computationally predicted regulatory sites in pro- scores in both projection and correlation) and lowest moters. The basic approach is illustrated in Figure 1b. Note (most negative scores in both correlation and projection) that motif activities are inferred from the behavior of the motifs were selected for each singular vector. As some expression levels, typically hundreds, of predicted ‘targets’ Downloaded from degree of redundancy is present among regulatory of the motif and do not directly involve analysis of the ex- motifs, we further refined our motifs selection in a system- pression levels of the regulators themselves. This is espe- atic manner following criteria that are detailed in the cially useful in systems where TF activities are modulated ‘Results’ section. through subcellular localization and post-translational modifications, rather than at the transcriptional level, e.g. http://nar.oxfordjournals.org/ Gene Ontology enrichment analysis such as the PB-mediated CAR nuclear translocation and The DAVID Bioinformatics Resource (Database for induction of downstream transcriptional responses that we Annotation, Visualization and Integrated Discovery) study here. Importantly, apart from inferring the motif (45,46), version 6.7, sponsored by the National Institute activities Ams, MARA also rigorously infers error bars on of Allergy and Infectious Diseases (NIAID), NIH, was these motif activities Ams, which allow to quantify to what used to investigate the statistical enrichment of biological extent motif activities are significantly varying across the terms and processes associated with the predicted target samples for each motif. The overall significance of each genes of each motif of interest. We directly imported motif m is then represented by a z-statistic (‘Materials official gene symbols into DAVID, exported enrichment and Methods’ section). at University of Basel/ A284 UPK on July 8, 2014 from biological pathways from Gene Ontology and Kyoto Encyclopedia of Genes and Genomes (KEGG), filtered TFs underlying early PB-mediated liver out redundant terms and selected biological processes transcriptional dynamics with P-value of enrichment <0.05. Figure 1d shows the activities of four motifs observed within the time course of control and PB-treated mice, illustrating the range of different profiles that can be RESULTS observed. For example, the motif bound by the family Overview of liver toxicogenomic data from of E2F TFs and the motif bound by AHR, ARNT and phenobarbital-treated mouse models ARNT2 TFs both showed substantial changes in activity across the time course that are largely the same in the In order to investigate gene regulatory networks underlying control and PB-treated animals, except for E2F’s activity early PB-mediated liver tumor promotion, we used four at the first timepoint. In contrast, the TATA-box motif transcriptomic datasets which are illustrated in Figure 1a. bound by TATA Binding Protein (TBP) exhibited almost Our primary dataset is composed of transcriptome constant activity across time but showed a strong shift in profiling data from a PB kinetic study in B6C3F1 (livers behavior between control and PB-treated animals. The from vehicle, i.e. control and PB-treated male mice at +1, LMO2 motif showed no significant activity for the first +3, +7, +14, +28, +57 and +91 days of dosing). This month of the time course but at later time points dataset enabled us to investigate gene expression (during the last 2 months) there was a marked divergence dynamics during the first 3 months of PB treatment. between PB-treated and control animals. A second CAR knock-out (KO) study composed of tran- scriptome profiling data from livers of vehicle- and PB- SVD identifies four characteristic motif activity profiles treated C3H male WT and CAR-null mice (at +161 days underlying early PB-mediated transcriptional changes of dosing) enabled us to investigate which of the responses Although it is possible to formulate biological interpret- to PB treatment were CAR-dependent at this later time ations and hypotheses for observed motif activity profiles point. A third tumor study consisting of samples from on a case-by-case basis, it is unclear how this could be promoted (at +35 weeks of PB treatment) and non- performed in a systematic and unbiased manner across a promoted tumors as well as their related surrounding large number of motifs. This is especially challenging, tissue from C3H male mice, enabled us to identify gene because prior biological knowledge indicates that regulatory changes that were specific to promoted multiple biological processes, including completion of tumors, as opposed to being a shared feature of tumor postnatal liver development, acute and sustained xeno- tissues in general. Finally, a b-catenin KO study biotic responses to PB treatment and tumor promotion, 6 Nucleic Acids Research, 2014
(a)(b) 0.35 0.15 0.20 0.25 0.30 Proportion of Variance
projection : 0.05 0.10
correlation : 0.00 top 10 principal components Downloaded from - PB +PB (c) ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● http://nar.oxfordjournals.org/ V3 ● V4 V1 ● V2 ● ● ● ● ● ● ● ● ● ● activity activity activity ● activity ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● −0.2 −0.1 0.0 0.1 0.2 −0.2 0.0 0.1 0.2 −0.10 0.00 0.10 −0.2 0.0 0.1 0.2 1 3 7 14285791 13714285791 1 3 7 14 28 57 91 1 3 7 14 28 57 91 time[days] time[days] time[days] time[days]
● ● ● ● ● ●● ● GFI1.p2 (d)(e)(● ● ● ● f) AHR_ARNT_ARNT2.p2 ● ●● ● ●● ● Z=3.1 ●●● Z=2.43 ● ● ● ● ● ●●● ● ● ● ● ● ● ● ●● ● at University of Basel/ A284 UPK on July 8, 2014 ● ●● ● ●● ●● ●●● ●● ●
0.02 ● ● ● ● ● ●● ● ● ●● ● ●●● ● ● ●● ● ● ●●● ● ● ● ● ●● ● ● ●●● ●●● ● ●●● ● ●●● ● ●●● ● ●●● ● ● ● ● activity ● ● ●● ●●●● ● activity
correlation ●● ● ● ● ● ● ●● ● ●●●● ● ● ● ● ● −0.5 0.0 0.5 ● ● ● ● ● ●● ●● ● ● ● ● ●● ● ● ● ● ● ● ● −0.02 0.00 −0.04 0.00 0.04 1 3 7 14 28 57 91 −0.3 −0.2 −0.1 0.0 0.1 1 3 7 14 28 57 91 time[days] projection time[days] Figure 3. Overview of the analysis strategy for identifying key regulatory activities of the early PB-mediated transcriptional dynamics. (a) SVD T factorizes the activity matrix of the early kinetic study: A ¼ U , V , with the right singular vectors v~k giving orthonormal motif activity profiles that capture most of the variation in activity profiles across all motifs. (b) Proportion of the variance of the motif activity matrix explained by the 10 first components. The first (blue bar), second (red bar), third (green bar) and fourth (yellow bar) components account for 35, 20, 10 and 5%, respectively of the variance. (c) Activity profiles of the first four right singular vectors v~1 through v~4. Gray points indicate activities for the control samples and black points indicate activities for the PB-treated samples. (d, f) Examples of motif activity profiles that contribute and correlate negatively and positively, respectively, with the first right singular vector (v~1). For each motif, a sequence logo representing its binding specificity is shown as an inset. (e) Scatter plot of the correlations i1 and projections pi1 of all motifs i with the first right singular vector v~1. Gray and black dots depict negatively and positively selected motifs. are occurring in parallel in our system. To address this variance and was characterized by an approximately problem, we applied a SVD approach to decompose the constant positive activity early in the time course that matrix of inferred motif activities Ams from the early decreased dramatically after 2 weeks. The activity profile kinetic study into linearly independent motif activity of this first singular vector was identical in the PB-treated profiles that capture most of the variation in all motif and control groups. The steep drop in activity after activities. 2 weeks coincided with the completion of postnatal liver Over 70% of the variance in the activity matrix was development in this study, as indicated by the transcrip- explained by the first four components of the SVD tional profile of the hepatoblast marker a-fetoprotein as evidenced by the spectrum of singular values (Afp)(47,48)(Supplementary Figure S4). We thus (Figure 3b). The activity profiles of the first four right propose that this characteristic motif activity profile is singular vectors, v~1 through v~4, are shown in Figure 3c. associated with postnatal liver development. This conclu- The first right singular vector accounted for 35% of the sion is supported by some of the motifs associated with Nucleic Acids Research, 2014 7 this singular vector (see Supplementary Data). As this activity profiles that are mutually ‘independent’, i.e. the process is presumably not relevant for the process of singular vectors, we disentangle the regulatory activities non-genotoxic tumor promotion, we have not further associated with these different processes and cluster the focused on this singular vector and a characterization of motifs by the biological process. its associated regulators is presented in the Supplementary We further refined the selection of the motifs associated Data. with each singular vector as follows: (i) removing motifs The second singular vector accounted for 20% of the for which the overall significance was too low (z < 1:5 variance and was characterized by an activity profile that for motifs regulating postnatal liver development or the is almost entirely constant with time, but that showed a constant xenobiotic response and under z < 1:0 for motifs large difference between the PB-treated and vehicle- regulating the transient mitogenic response or the adaptive treated samples. This singular vector thus corresponds to xenobiotic response); (ii) removing motifs whose cognate a sustained xenobiotic response. TFs were not expressed in the liver (log expression <6.0); The third singular vector accounted for 10% of the (iii) using z-scores for the differential activity per time variance and was characterized by a difference in point between PB-treated and control samples, we activity between the control and treated group at Day 1 required z 1:5 at minimum four time points out of