Assigning numbers to the arrows: Parameterizing a gene regulation network by using accurate expression kinetics

A basic challenge in systems biology is to understand the dynamical behavior of gene regulation networks. Current approaches aim at determining the network structure based on genomic-scale data. However, the network connectivity alone is not sufficient to define its dynamics; one needs to also specify the kinetic parameters for the regulation reactions. Here, we ask whether effective kinetic parameters can be assigned to a transcriptional network based on expression data. We present a combined experimental and theoretical approach based on accurate high temporal-resolution measurement of promoter activities from living cells by using green fluorescent protein (GFP) reporter plasmids. We present algorithms that use these data to assign effective kinetic parameters within a mathematical model of the network. To demonstrate this, we employ a well defined network, the SOS DNA repair system of Escherichia coli. We find a strikingly detailed temporal program of expression that correlates with the functional role of the SOS genes and is driven by a hierarchy of effective kinetic parameter strengths for the various promoters. The calculated parameters can be used to determine the kinetics of all SOS genes given the expression profile of just one representative, allowing a significant reduction in complexity. The concentration profile of the master SOS transcriptional repressor can be calculated, demonstrating that relative protein levels may be determined from purely transcriptional data. This finding opens the possibility of assigning kinetic parameters to transcriptional networks on a genomic scale.

[1]  J. Rogers Chaos , 1876, Molecular Vibrations.

[2]  B. Bainbridge,et al.  Genetics , 1981, Experientia.

[3]  C. Kenyon,et al.  DNA-damaging agents stimulate gene expression at specific loci in Escherichia coli. , 1980, Proceedings of the National Academy of Sciences of the United States of America.

[4]  D. Mount,et al.  The SOS regulatory system of Escherichia coli , 1982, Cell.

[5]  William H. Press,et al.  Numerical recipes in C. The art of scientific computing , 1987 .

[6]  F. A. Seiler,et al.  Numerical Recipes in C: The Art of Scientific Computing , 1989 .

[7]  Jeffrey W. Roberts,et al.  Nature of the SOS-inducing signal in Escherichia coli. The involvement of DNA replication. , 1990, Journal of molecular biology.

[8]  William H. Press,et al.  The Art of Scientific Computing Second Edition , 1998 .

[9]  AC Tose Cell , 1993, Cell.

[10]  N. W. Davis,et al.  The complete genome sequence of Escherichia coli K-12. , 1997, Science.

[11]  J. Ross,et al.  A Test Case of Correlation Metric Construction of a Reaction Pathway from Measurements , 1997 .

[12]  Michael Ruogu Zhang,et al.  Comprehensive identification of cell cycle-regulated genes of the yeast Saccharomyces cerevisiae by microarray hybridization. , 1998, Molecular biology of the cell.

[13]  Uri Alon,et al.  Response regulator output in bacterial chemotaxis , 1998, The EMBO journal.

[14]  E. Davidson,et al.  Genomic cis-regulatory logic: experimental and computational analysis of a sea urchin gene. , 1998, Science.

[15]  G. Church,et al.  Systematic determination of genetic network architecture , 1999, Nature Genetics.

[16]  D. Botstein,et al.  Exploring the new world of the genome with DNA microarrays , 1999, Nature Genetics.

[17]  J. Hopfield,et al.  From molecular to modular cell biology , 1999, Nature.

[18]  Patrik D'haeseleer,et al.  Genetic network inference: from co-expression clustering to reverse engineering , 2000, Bioinform..

[19]  D. Botstein,et al.  Singular value decomposition for genome-wide expression data processing and modeling. , 2000, Proceedings of the National Academy of Sciences of the United States of America.

[20]  M. Goodman,et al.  Coping with replication 'train wrecks' in Escherichia coli using Pol V, Pol II and RecA proteins. , 2000, Trends in biochemical sciences.

[21]  H. McAdams,et al.  Global analysis of the genetic network controlling a bacterial cell cycle. , 2000, Science.

[22]  E. Winzeler,et al.  Genomics, gene expression and DNA arrays , 2000, Nature.

[23]  G. Walker,et al.  The SOS response: recent insights into umuDC-dependent mutagenesis and DNA damage tolerance. , 2000, Annual review of genetics.

[24]  김삼묘,et al.  “Bioinformatics” 특집을 내면서 , 2000 .

[25]  D. Foguel,et al.  LexA Repressor Forms Stable Dimers in Solution , 2000, The Journal of Biological Chemistry.

[26]  R. Woodgate,et al.  Identification of additional genes belonging to the LexA regulon in Escherichia coli , 2000, Molecular microbiology.

[27]  R. Roy,et al.  Transcriptional induction of the conserved alternative sigma factor RpoS in Escherichia coli is dependent on BarA, a probable two‐component regulator , 2000, Molecular microbiology.

[28]  Michael A. Savageau,et al.  Design principles for elementary gene circuits: Elements, methods, and examples. , 2001, Chaos.

[29]  E. Derose,et al.  LuxArray, a High-Density, Genomewide Transcription Analysis of Escherichia coli Using Bioluminescent Reporter Strains , 2001, Journal of bacteriology.

[30]  Z. Livneh DNA Damage Control by Novel DNA Polymerases: Translesion Replication and Mutagenesis* , 2001, The Journal of Biological Chemistry.

[31]  D. Georgellis,et al.  Identification of UvrY as the Cognate Response Regulator for the BarA Sensor Kinase in Escherichia coli * , 2001, The Journal of Biological Chemistry.

[32]  Nicola J. Rinaldi,et al.  Serial Regulation of Transcriptional Regulators in the Yeast Cell Cycle , 2001, Cell.

[33]  Roger E Bumgarner,et al.  Integrated genomic and proteomic analyses of a systematically perturbed metabolic network. , 2001, Science.

[34]  Robert A. LaRossa,et al.  Global Impact of sdiA Amplification Revealed by Comprehensive Gene Expression Profiling of Escherichia coli , 2001, Journal of bacteriology.

[35]  J. Courcelle,et al.  Comparative gene expression profiles following UV exposure in wild-type and SOS-deficient Escherichia coli. , 2001, Genetics.

[36]  U. Alon,et al.  Ordering Genes in a Flagella Pathway by Analysis of Expression Kinetics from Living Bacteria , 2001, Science.

[37]  S. Shen-Orr,et al.  Network motifs in the transcriptional regulation network of Escherichia coli , 2002, Nature Genetics.