Identifying functional gene regulatory network phenotypes underlying single cell transcriptional variability.

Recent analysis of single-cell transcriptomic data has revealed a surprising organization of the transcriptional variability pervasive across individual neurons. In response to distinct combinations of synaptic input-type, a new organization of neuronal subtypes emerged based on transcriptional states that were aligned along a gradient of correlated gene expression. Individual neurons traverse across these transcriptional states in response to cellular inputs. However, the regulatory network interactions driving these changes remain unclear. Here we present a novel fuzzy logic-based approach to infer quantitative gene regulatory network models from highly variable single-cell gene expression data. Our approach involves developing an a priori regulatory network that is then trained against in vivo single-cell gene expression data in order to identify causal gene interactions and corresponding quantitative model parameters. Simulations of the inferred gene regulatory network response to experimentally observed stimuli levels mirrored the pattern and quantitative range of gene expression across individual neurons remarkably well. In addition, the network identification results revealed that distinct regulatory interactions, coupled with differences in the regulatory network stimuli, drive the variable gene expression patterns observed across the neuronal subtypes. We also identified a key difference between the neuronal subtype-specific networks with respect to negative feedback regulation, with the catecholaminergic subtype network lacking such interactions. Furthermore, by varying regulatory network stimuli over a wide range, we identified several cases in which divergent neuronal subtypes could be driven towards similar transcriptional states by distinct stimuli operating on subtype-specific regulatory networks. Based on these results, we conclude that heterogenous single-cell gene expression profiles should be interpreted through a regulatory network modeling perspective in order to separate the contributions of network interactions from those of cellular inputs.

[1]  Stefan Leutgeb,et al.  Neurotransmitter Switching in the Adult Brain Regulates Behavior , 2013, Science.

[2]  R. Milo,et al.  Dynamic Proteomics of Individual Cancer Cells in Response to a Drug , 2008, Science.

[3]  J. Eberwine,et al.  Single cell transcriptomics of hypothalamic warm sensitive neurons that control core body temperature and fever response Signaling asymmetry and an extension of chemical neuroanatomy. , 2011, Pharmacology & therapeutics.

[4]  R Core Team,et al.  R: A language and environment for statistical computing. , 2014 .

[5]  Hao Ying,et al.  A general technique for deriving analytical structure of fuzzy controllers using arbitrary trapezoidal input fuzzy sets and Zadeh AND operator , 2003, Autom..

[6]  E. Marder,et al.  Variable channel expression in identified single and electrically coupled neurons in different animals , 2006, Nature Neuroscience.

[7]  John W. Wright,et al.  The brain renin–angiotensin system: a diversity of functions and implications for CNS diseases , 2012, Pflügers Archiv - European Journal of Physiology.

[8]  Kevin A. Janes,et al.  Identifying single-cell molecular programs by stochastic profiling , 2010, Nature Methods.

[9]  C. Lüscher,et al.  In vivo reprogramming of circuit connectivity in postmitotic neocortical neurons , 2013, Nature Neuroscience.

[10]  Andrew A. Quong,et al.  Linear fuzzy gene network models obtained from microarray data by exhaustive search , 2004, BMC Bioinformatics.

[11]  A. Butte,et al.  Discovering functional relationships between RNA expression and chemotherapeutic susceptibility using relevance networks. , 2000, Proceedings of the National Academy of Sciences of the United States of America.

[12]  P. Shannon,et al.  Cytoscape: a software environment for integrated models of biomolecular interaction networks. , 2003, Genome research.

[13]  K. Griendling,et al.  Angiotensin II cell signaling: physiological and pathological effects in the cardiovascular system. , 2007, American journal of physiology. Cell physiology.

[14]  T. Herdegen,et al.  Inducible and constitutive transcription factors in the mammalian nervous system: control of gene expression by Jun, Fos and Krox, and CREB/ATF proteins , 1998, Brain Research Reviews.

[15]  R. Neubig,et al.  Regulator of G protein signaling proteins: novel multifunctional drug targets. , 2001, The Journal of pharmacology and experimental therapeutics.

[16]  J. Stewart,et al.  Cardiovascular effects of substance P peptides in the nucleus of the solitary tract , 1989, Brain Research.

[17]  D. Pe’er,et al.  Principles and Strategies for Developing Network Models in Cancer , 2011, Cell.

[18]  R. M. Tong,et al.  A control engineering review of fuzzy systems , 1977, Autom..

[19]  K. Flaherty,et al.  Inhibition of mutated, activated BRAF in metastatic melanoma. , 2010, The New England journal of medicine.

[20]  Chris Wiggins,et al.  ARACNE: An Algorithm for the Reconstruction of Gene Regulatory Networks in a Mammalian Cellular Context , 2004, BMC Bioinformatics.

[21]  Chao Zhang,et al.  RAF inhibitors transactivate RAF dimers and ERK signaling in cells with wild-type BRAF , 2010, Nature.

[22]  Robert LIN,et al.  NOTE ON FUZZY SETS , 2014 .

[23]  S. Arber,et al.  A Role for Runx Transcription Factor Signaling in Dorsal Root Ganglion Sensory Neuron Diversification , 2006, Neuron.

[24]  Bernhard Sendhoff,et al.  Evolving in silico bistable and oscillatory dynamics for gene regulatory network motifs , 2008, 2008 IEEE Congress on Evolutionary Computation (IEEE World Congress on Computational Intelligence).

[25]  Roland Eils,et al.  Inferring genetic regulatory logic from expression data , 2005, Bioinform..

[26]  Sean C. Bendall,et al.  viSNE enables visualization of high dimensional single-cell data and reveals phenotypic heterogeneity of leukemia , 2013, Nature Biotechnology.

[27]  H. Markram,et al.  Correlation maps allow neuronal electrical properties to be predicted from single-cell gene expression profiles in rat neocortex. , 2004, Cerebral cortex.

[28]  Junhyong Kim,et al.  Transcriptome transfer provides a model for understanding the phenotype of cardiomyocytes , 2011, Proceedings of the National Academy of Sciences.

[29]  S. Horvath,et al.  A General Framework for Weighted Gene Co-Expression Network Analysis , 2005, Statistical applications in genetics and molecular biology.

[30]  Suman Datta,et al.  Accelerated search for biomolecular network models to interpret high-throughput experimental data , 2006, BMC Bioinformatics.

[31]  J. Violin,et al.  G Protein-coupled Receptor Kinase and β-Arrestin-mediated Desensitization of the Angiotensin II Type 1A Receptor Elucidated by Diacylglycerol Dynamics* , 2006, Journal of Biological Chemistry.

[32]  D. Lauffenburger,et al.  Discrete logic modelling as a means to link protein signalling networks with functional analysis of mammalian signal transduction , 2009, Molecular systems biology.

[33]  C. Llorens-Cortes,et al.  The role of the brain renin–angiotensin system in hypertension: Implications for new treatment , 2011, Progress in Neurobiology.

[34]  A. Turner,et al.  Not just angiotensinases: new roles for the angiotensin-converting enzymes , 2009, Cellular and Molecular Life Sciences.

[35]  Changwon Yoo,et al.  Reverse Engineering of Modified Genes by Bayesian Network Analysis Defines Molecular Determinants Critical to the Development of Glioblastoma , 2013, PloS one.

[36]  M. Palkovits,et al.  Catecholaminergic systems in stress: structural and molecular genetic approaches. , 2009, Physiological reviews.

[37]  P. Woolf,et al.  A fuzzy logic approach to analyzing gene expression data. , 2000, Physiological genomics.

[38]  Cole Trapnell,et al.  Transcript assembly and quantification by RNA-Seq reveals unannotated transcripts and isoform switching during cell differentiation. , 2010, Nature biotechnology.

[39]  A. Oudenaarden,et al.  Nature, Nurture, or Chance: Stochastic Gene Expression and Its Consequences , 2008, Cell.

[40]  Michal Linial,et al.  Using Bayesian Networks to Analyze Expression Data , 2000, J. Comput. Biol..

[41]  Yaochu Jin,et al.  Fuzzy modeling of high-dimensional systems: complexity reduction and interpretability improvement , 2000, IEEE Trans. Fuzzy Syst..

[42]  A. Oudenaarden,et al.  Every Cell Is Special: Genome-wide Studies Add a New Dimension to Single-Cell Biology , 2014, Cell.

[43]  Sandy L. Klemm,et al.  Single-Cell Expression Analyses during Cellular Reprogramming Reveal an Early Stochastic and a Late Hierarchic Phase , 2012, Cell.

[44]  Julio Saez-Rodriguez,et al.  Training Signaling Pathway Maps to Biochemical Data with Constrained Fuzzy Logic: Quantitative Analysis of Liver Cell Responses to Inflammatory Stimuli , 2011, PLoS Comput. Biol..

[45]  Daniel E. Zak,et al.  PAINT: a promoter analysis and interaction network generation tool for gene regulatory network identification. , 2003, Omics : a journal of integrative biology.

[46]  Dario Floreano,et al.  Combining Multiple Results of a Reverse‐Engineering Algorithm: Application to the DREAM Five‐Gene Network Challenge , 2009, Annals of the New York Academy of Sciences.

[47]  Robert Reynolds,et al.  Fuzzy logic-based gene regulatory network , 2003, The 12th IEEE International Conference on Fuzzy Systems, 2003. FUZZ '03..

[48]  Luonan Chen,et al.  Discovering functions and revealing mechanisms at molecular level from biological networks , 2007, Proteomics.

[49]  T. Jessell,et al.  Runx1 Determines Nociceptive Sensory Neuron Phenotype and Is Required for Thermal and Neuropathic Pain , 2006, Neuron.

[50]  Brian D. Ripley,et al.  Modern Applied Statistics with S Fourth edition , 2002 .

[51]  Sourav Bandyopadhyay,et al.  Rewiring of Genetic Networks in Response to DNA Damage , 2010, Science.

[52]  Sean C. Bendall,et al.  A deep profiler's guide to cytometry. , 2012, Trends in immunology.

[53]  Timothy K Lee,et al.  Single-cell NF-κB dynamics reveal digital activation and analogue information processing , 2010, Nature.

[54]  J. Schwaber,et al.  Response Properties of Baroreceptive NTS Neurons , 2001, Annals of the New York Academy of Sciences.

[55]  Martin A. Nowak,et al.  Inferring Cellular Networks Using Probabilistic Graphical Models , 2004 .

[56]  M. Raizada,et al.  Brain renin–angiotensin system dysfunction in hypertension: recent advances and perspectives , 2003, British journal of pharmacology.

[57]  Marzuki Khalid,et al.  Tuning of a neuro-fuzzy controller by genetic algorithm , 1999, IEEE Trans. Syst. Man Cybern. Part B.

[58]  Colin Sumners,et al.  Angiotensin At1 Receptor Signalling Pathways In Neurons , 2002, Clinical and experimental pharmacology & physiology.

[59]  Silvia Arber,et al.  Gamma and alpha motor neurons distinguished by expression of transcription factor Err3 , 2009, Proceedings of the National Academy of Sciences.

[60]  E. Zandi,et al.  AP-1 function and regulation. , 1997, Current opinion in cell biology.

[61]  L. Fink,et al.  Deficiency of microvascular thrombomodulin and up-regulation of protease-activated receptor-1 in irradiated rat intestine: possible link between endothelial dysfunction and chronic radiation fibrosis. , 2002, The American journal of pathology.

[62]  Amit Bhaya,et al.  Evolving fuzzy rules to model gene expression , 2007, Biosyst..

[63]  B. Gasnier The SLC32 transporter, a key protein for the synaptic release of inhibitory amino acids , 2004, Pflügers Archiv.

[64]  Lie Gao,et al.  Angiotensin II-induced upregulation of AT(1) receptor expression: sequential activation of NF-kappaB and Elk-1 in neurons. , 2010, American journal of physiology. Cell physiology.

[65]  Guy N. Brock,et al.  Fuzzy logic and related methods as a screening tool for detecting gene regulatory networks , 2009, Inf. Fusion.

[66]  José Cristóbal Riquelme Santos,et al.  Discovering gene association networks by multi-objective evolutionary quantitative association rules , 2014, J. Comput. Syst. Sci..

[67]  Rajanikanth Vadigepalli,et al.  Inputs drive cell phenotype variability , 2014, Genome research.

[68]  Mikael Huss,et al.  Resolution of cell fate decisions revealed by single-cell gene expression analysis from zygote to blastocyst. , 2010, Developmental cell.

[69]  R. Lefkowitz,et al.  The role of beta-arrestins in the termination and transduction of G-protein-coupled receptor signals. , 2002, Journal of cell science.

[70]  Rency S Varghese,et al.  Increasing the efficiency of fuzzy logic-based gene expression data analysis. , 2003, Physiological genomics.

[71]  T. Hökfelt,et al.  Coexistence of galanin-like immunoreactivity with catecholamines, 5- hydroxytryptamine, GABA and neuropeptides in the rat CNS , 1986, The Journal of neuroscience : the official journal of the Society for Neuroscience.