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Uluşeker C, Torres-Bacete J, García JL, Hanczyc MM, Nogales J, Kahramanoğulları O. Quantifying dynamic mechanisms of auto-regulation in Escherichia coli with synthetic promoter in response to varying external phosphate levels. Sci Rep 2019; 9:2076. [PMID: 30765722 PMCID: PMC6376016 DOI: 10.1038/s41598-018-38223-w] [Citation(s) in RCA: 9] [Impact Index Per Article: 1.8] [Reference Citation Analysis] [Abstract] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 05/02/2018] [Accepted: 12/13/2018] [Indexed: 12/16/2022] Open
Abstract
Escherichia coli have developed one of the most efficient regulatory response mechanisms to phosphate starvation. The machinery involves a cascade with a two-component system (TCS) that relays the external signal to the genetic circuit, resulting in a feedback response. Achieving a quantitative understanding of this system has implications in synthetic biology and biotechnology, for example, in applications for wastewater treatment. To this aim, we present a computational model and experimental results with a detailed description of the TCS, consisting of PhoR and PhoB, together with the mechanisms of gene expression. The model is parameterised within the feasible range, and fitted to the dynamic response of our experimental data on PhoB as well as PhoA, the product of this network that is used in alkaline phosphatase production. Deterministic and stochastic simulations with our model predict the regulation dynamics in higher external phosphate concentrations while reproducing the experimental observations. In a cycle of simulations and experimental verification, our model predicts and explores phenotypes with various synthetic promoter designs that can optimise the inorganic phosphate intake in E. coli. Sensitivity analysis demonstrates that the Pho-controlled genes have a significant influence over the phosphate response. Together with experimental findings, our model should thus provide insights for the investigations on engineering new sensors and regulators for living technologies.
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Affiliation(s)
- Cansu Uluşeker
- University of Trento, Centre for Integrative Biology, Trento, 38123, Italy.,The Microsoft Research - University of Trento Centre for Computational and Systems Biology, Rovereto, 38068, Italy
| | - Jesús Torres-Bacete
- Centro Nacional de Biotecnología (CNB-CSIC), Systems Biology Department, Madrid, 28049, Spain
| | - José L García
- Centro de Investigaciones Biológicas (CIB-CSIC), Microbial and Plant Biotechnology Department, Madrid, 28040, Spain.,Institute for Integrative Systems Biology (I2Sysbio-CSIC-UV), Applied Systems Biology and Synthetic Biology Department, Paterna, 46980, Spain
| | - Martin M Hanczyc
- University of Trento, Centre for Integrative Biology, Trento, 38123, Italy.,Chemical and Biological Engineering, University of New Mexico, Albuquerque, NM, 87131, USA
| | - Juan Nogales
- Centro Nacional de Biotecnología (CNB-CSIC), Systems Biology Department, Madrid, 28049, Spain
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Zieringer J, Takors R. In Silico Prediction of Large-Scale Microbial Production Performance: Constraints for Getting Proper Data-Driven Models. Comput Struct Biotechnol J 2018; 16:246-256. [PMID: 30105090 PMCID: PMC6077756 DOI: 10.1016/j.csbj.2018.06.002] [Citation(s) in RCA: 9] [Impact Index Per Article: 1.5] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 03/26/2018] [Revised: 06/11/2018] [Accepted: 06/12/2018] [Indexed: 12/20/2022] Open
Abstract
Industrial bioreactors range from 10.000 to 700.000 L and characteristically show different zones of substrate availabilities, dissolved gas concentrations and pH values reflecting physical, technical and economic constraints of scale-up. Microbial producers are fluctuating inside the bioreactors thereby experiencing frequently changing micro-environmental conditions. The external stimuli induce responses on microbial metabolism and on transcriptional regulation programs. Both may deteriorate the expected microbial production performance in large scale compared to expectations deduced from ideal, well-mixed lab-scale conditions. Accordingly, predictive tools are needed to quantify large-scale impacts considering bioreactor heterogeneities. The review shows that the time is right to combine simulations of microbial kinetics with calculations of large-scale environmental conditions to predict the bioreactor performance. Accordingly, basic experimental procedures and computational tools are presented to derive proper microbial models and hydrodynamic conditions, and to link both for bioreactor modeling. Particular emphasis is laid on the identification of gene regulatory networks as the implementation of such models will surely gain momentum in future studies.
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Straube R. Analysis of network motifs in cellular regulation: Structural similarities, input-output relations and signal integration. Biosystems 2017; 162:215-232. [PMID: 29107640 DOI: 10.1016/j.biosystems.2017.10.012] [Citation(s) in RCA: 7] [Impact Index Per Article: 1.0] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 09/21/2017] [Revised: 10/22/2017] [Accepted: 10/23/2017] [Indexed: 02/07/2023]
Abstract
Much of the complexity of regulatory networks derives from the necessity to integrate multiple signals and to avoid malfunction due to cross-talk or harmful perturbations. Hence, one may expect that the input-output behavior of larger networks is not necessarily more complex than that of smaller network motifs which suggests that both can, under certain conditions, be described by similar equations. In this review, we illustrate this approach by discussing the similarities that exist in the steady state descriptions of a simple bimolecular reaction, covalent modification cycles and bacterial two-component systems. Interestingly, in all three systems fundamental input-output characteristics such as thresholds, ultrasensitivity or concentration robustness are described by structurally similar equations. Depending on the system the meaning of the parameters can differ ranging from protein concentrations and affinity constants to complex parameter combinations which allows for a quantitative understanding of signal integration in these systems. We argue that this approach may also be extended to larger regulatory networks.
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Affiliation(s)
- Ronny Straube
- Max Planck Institute for Dynamics of Complex Technical Systems Magdeburg, Sandtorstr. 1, D-39106 Magdeburg, Germany
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How prokaryotes 'encode' their environment: Systemic tools for organizing the information flow. Biosystems 2017; 164:26-38. [PMID: 28987781 DOI: 10.1016/j.biosystems.2017.10.002] [Citation(s) in RCA: 12] [Impact Index Per Article: 1.7] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 07/07/2017] [Revised: 09/29/2017] [Accepted: 10/02/2017] [Indexed: 01/04/2023]
Abstract
An important issue related to code biology concerns the cell's informational relationships with the environment. As an open self-producing system, a great variety of inputs and outputs are necessary for the living cell, not only consisting of matter and energy but also involving information flows. The analysis here of the simplest cells will involve two basic aspects. On the one side, the molecular apparatuses of the prokaryotic signaling system, with all its variety of environmental signals and component pathways (which have been called 1-2-3 Component Systems), including the role of a few second messengers which have been pointed out in bacteria too. And in the other side, the gene transcription system as depending not only on signaling inputs but also on a diversity of factors. Amidst the continuum of energy, matter, and information flows, there seems to be evidence for signaling codes, mostly established around the arrangement of life-cycle stages, in large metabolic changes, or in the relationships with conspecifics (quorum sensing) and within microbial ecosystems. Additionally, and considering the complexity growth of signaling systems from prokaryotes to eukaryotes, four avenues or "roots" for the advancement of such complexity would come out. A comparative will be established in between the signaling strategies and organization of both kinds of cellular systems. Finally, a new characterization of "informational architectures" will be proposed in order to explain the coding spectrum of both prokaryotic and eukaryotic signaling systems. Among other evolutionary aspects, cellular strategies for the construction of novel functional codes via the intermixing of informational architectures could be related to the persistence of retro-elements with obvious viral ancestry.
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Identifiability of Nonlinear ODE Models in Systems Biology: Results from Both Structural and Data-Based Methods. BIOINFORMATICS AND BIOMEDICAL ENGINEERING 2015. [DOI: 10.1007/978-3-319-16483-0_63] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 01/15/2023]
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Straube R. Reciprocal regulation as a source of ultrasensitivity in two-component systems with a bifunctional sensor kinase. PLoS Comput Biol 2014; 10:e1003614. [PMID: 24809699 PMCID: PMC4014401 DOI: 10.1371/journal.pcbi.1003614] [Citation(s) in RCA: 16] [Impact Index Per Article: 1.6] [Reference Citation Analysis] [Abstract] [MESH Headings] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 11/21/2013] [Accepted: 03/24/2014] [Indexed: 01/31/2023] Open
Abstract
Two-component signal transduction systems, where the phosphorylation state of a regulator protein is modulated by a sensor kinase, are common in bacteria and other microbes. In many of these systems, the sensor kinase is bifunctional catalyzing both, the phosphorylation and the dephosphorylation of the regulator protein in response to input signals. Previous studies have shown that systems with a bifunctional enzyme can adjust the phosphorylation level of the regulator protein independently of the total protein concentrations – a property known as concentration robustness. Here, I argue that two-component systems with a bifunctional enzyme may also exhibit ultrasensitivity if the input signal reciprocally affects multiple activities of the sensor kinase. To this end, I consider the case where an allosteric effector inhibits autophosphorylation and, concomitantly, activates the enzyme's phosphatase activity, as observed experimentally in the PhoQ/PhoP and NRII/NRI systems. A theoretical analysis reveals two operating regimes under steady state conditions depending on the effector affinity: If the affinity is low the system produces a graded response with respect to input signals and exhibits stimulus-dependent concentration robustness – consistent with previous experiments. In contrast, a high-affinity effector may generate ultrasensitivity by a similar mechanism as phosphorylation-dephosphorylation cycles with distinct converter enzymes. The occurrence of ultrasensitivity requires saturation of the sensor kinase's phosphatase activity, but is restricted to low effector concentrations, which suggests that this mode of operation might be employed for the detection and amplification of low abundant input signals. Interestingly, the same mechanism also applies to covalent modification cycles with a bifunctional converter enzyme, which suggests that reciprocal regulation, as a mechanism to generate ultrasensitivity, is not restricted to two-component systems, but may apply more generally to bifunctional enzyme systems. Bacteria often use two-component systems to sense and respond to environmental changes, which involves autophosphorylation of a sensor kinase and phosphotransfer to a cognate response regulator. However, despite conservation of this ‘classical’ scheme there exist substantial variations in the mechanism of phosphotransfer among systems. Also, many sensor kinases exhibit phosphatase activity raising the question whether such a bifunctional architecture enables special regulatory properties in the response behavior to input signals. According to previous studies, classical two-component systems are unlikely to produce sigmoidal response curves (ultrasensitivity) if the sensor protein is bifunctional. Here, I argue that this is not necessarily true if the input stimulus (allosteric effector) reciprocally affects multiple activities of the sensor kinase, as it seems to be common for bifunctional enzymes. To this end, I propose and analyze an extension of the experimentally well-supported Batchelor-Goulian model which shows that ultrasensitivity requires a high-affinity effector and saturation of the phosphatase activity. The underlying mechanism involves sequestration of the effector by the sensor kinase which restricts the occurrence of ultrasensitivity to sufficiently low effector concentrations. Hence, this operating regime might be useful to sense effector limitations or to amplify weak input signals.
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Affiliation(s)
- Ronny Straube
- Analysis and Redesign of Biological Networks Group, Max Planck Institute for Dynamics of Complex Technical Systems, Magdeburg, Germany
- * E-mail:
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Heermann R, Zigann K, Gayer S, Rodriguez-Fernandez M, Banga JR, Kremling A, Jung K. Dynamics of an interactive network composed of a bacterial two-component system, a transporter and K+ as mediator. PLoS One 2014; 9:e89671. [PMID: 24586952 PMCID: PMC3938482 DOI: 10.1371/journal.pone.0089671] [Citation(s) in RCA: 8] [Impact Index Per Article: 0.8] [Reference Citation Analysis] [Abstract] [MESH Headings] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 11/19/2013] [Accepted: 01/21/2014] [Indexed: 11/19/2022] Open
Abstract
KdpD and KdpE form a histidine kinase/response regulator system that senses K+ limitation and induces the kdpFABC operon, which encodes a high-affinity K+ uptake complex. To define the primary stimulus perceived by KdpD we focused in this study on the dynamics of the Kdp response. Escherichia coli cells were subjected to severe K+ limitation, and all relevant parameters of the Kdp response, i.e., levels of kdpFABC transcripts and KdpFABC proteins, as well as extra- and intracellular K+ concentrations, were quantitatively analysed over time (0 to 180 min). Unexpectedly, induction of kdpFABC was found to follow a non-monotonic time-course. To interpret this unusual behaviour, a mathematical model that adequately captures the dynamics of the Kdp system was established and used for simulations. We found a strong correlation between KdpD/KdpE activation and the intracellular K+ concentration, which is influenced by the uptake of K+ via the KdpFABC complex. Based on these results a model is proposed in which KdpD/KdpE phosphorylation is inversely correlated with the intracellular K+ concentration. To corroborate this hypothesis an isogenic mutant that produces a defective KdpFABC complex, and the trans-complemented mutant that expresses the KtrAB high-affinity K+ uptake system of Vibrio alginolyticus were quantitatively analysed. Experimental data and simulations for the mutants consistently support the tight correlation between KdpD/KdpE activation and the intracellular K+ concentration. This study presents a striking example of the non-intuitive dynamics of a functional unit comprising signalling proteins and a transporter with K+ as mediator.
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Affiliation(s)
- Ralf Heermann
- Center for Integrated Protein Science Munich (CiPSM) at the Department Biology I, Microbiology, Ludwig-Maximilians-Universität München, Martinsried, Germany
| | - Katja Zigann
- Center for Integrated Protein Science Munich (CiPSM) at the Department Biology I, Microbiology, Ludwig-Maximilians-Universität München, Martinsried, Germany
| | - Stefan Gayer
- Fachgebiet für Systembiotechnologie, Technische Universität München, Garching b. München, Germany
| | | | - Julio R. Banga
- BioProcess Engineering Group, IIM-CSIC, Spanish Council for Scientific Research, Vigo, Spain
| | - Andreas Kremling
- Fachgebiet für Systembiotechnologie, Technische Universität München, Garching b. München, Germany
| | - Kirsten Jung
- Center for Integrated Protein Science Munich (CiPSM) at the Department Biology I, Microbiology, Ludwig-Maximilians-Universität München, Martinsried, Germany
- * E-mail:
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8
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Anderson DF, Enciso GA, Johnston MD. Stochastic analysis of biochemical reaction networks with absolute concentration robustness. J R Soc Interface 2014; 11:20130943. [PMID: 24522780 DOI: 10.1098/rsif.2013.0943] [Citation(s) in RCA: 44] [Impact Index Per Article: 4.4] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/12/2022] Open
Abstract
It has recently been shown that structural conditions on the reaction network, rather than a 'fine-tuning' of system parameters, often suffice to impart 'absolute concentration robustness' (ACR) on a wide class of biologically relevant, deterministically modelled mass-action systems. We show here that fundamentally different conclusions about the long-term behaviour of such systems are reached if the systems are instead modelled with stochastic dynamics and a discrete state space. Specifically, we characterize a large class of models that exhibit convergence to a positive robust equilibrium in the deterministic setting, whereas trajectories of the corresponding stochastic models are necessarily absorbed by a set of states that reside on the boundary of the state space, i.e. the system undergoes an extinction event. If the time to extinction is large relative to the relevant timescales of the system, the process will appear to settle down to a stationary distribution long before the inevitable extinction will occur. This quasi-stationary distribution is considered for two systems taken from the literature, and results consistent with ACR are recovered by showing that the quasi-stationary distribution of the robust species approaches a Poisson distribution.
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Affiliation(s)
- David F Anderson
- Department of Mathematics, University of Wisconsin, , Madison, WI, USA
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Rodriguez-Fernandez M, Rehberg M, Kremling A, Banga JR. Simultaneous model discrimination and parameter estimation in dynamic models of cellular systems. BMC SYSTEMS BIOLOGY 2013; 7:76. [PMID: 23938131 PMCID: PMC3765209 DOI: 10.1186/1752-0509-7-76] [Citation(s) in RCA: 26] [Impact Index Per Article: 2.4] [Reference Citation Analysis] [Abstract] [Track Full Text] [Download PDF] [Figures] [Subscribe] [Scholar Register] [Received: 05/08/2012] [Accepted: 08/08/2013] [Indexed: 01/06/2023]
Abstract
Background Model development is a key task in systems biology, which typically starts from an initial model candidate and, involving an iterative cycle of hypotheses-driven model modifications, leads to new experimentation and subsequent model identification steps. The final product of this cycle is a satisfactory refined model of the biological phenomena under study. During such iterative model development, researchers frequently propose a set of model candidates from which the best alternative must be selected. Here we consider this problem of model selection and formulate it as a simultaneous model selection and parameter identification problem. More precisely, we consider a general mixed-integer nonlinear programming (MINLP) formulation for model selection and identification, with emphasis on dynamic models consisting of sets of either ODEs (ordinary differential equations) or DAEs (differential algebraic equations). Results We solved the MINLP formulation for model selection and identification using an algorithm based on Scatter Search (SS). We illustrate the capabilities and efficiency of the proposed strategy with a case study considering the KdpD/KdpE system regulating potassium homeostasis in Escherichia coli. The proposed approach resulted in a final model that presents a better fit to the in silico generated experimental data. Conclusions The presented MINLP-based optimization approach for nested-model selection and identification is a powerful methodology for model development in systems biology. This strategy can be used to perform model selection and parameter estimation in one single step, thus greatly reducing the number of experiments and computations of traditional modeling approaches.
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Positive feedback and temperature mediated molecular switch controls differential gene regulation in Bordetella pertussis. Biosystems 2012; 110:107-18. [PMID: 22960292 DOI: 10.1016/j.biosystems.2012.08.004] [Citation(s) in RCA: 3] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 01/12/2012] [Revised: 07/19/2012] [Accepted: 08/16/2012] [Indexed: 11/24/2022]
Abstract
Based on the phosphorelay kinetics operative within BvgAS two component system we propose a mathematical framework for signal transduction and gene regulation of phenotypic phases in Bordetella pertussis. The proposed model identifies a novel mechanism of transcriptional interference between two promoters present in the bvg locus. To understand the system behavior under elevated temperature, the developed model has been studied in two different ways. First, a quasi-steady state analysis has been carried out for the two component system, comprising of sensor BvgS and response regulator BvgA. The quasi-steady state analysis reveals temperature induced sharp molecular switch, leading to amplification in the output of BvgA. Accumulation of a large pool of BvgA thus results into differential regulation of the downstream genes, including the gene encoding toxin. Numerical integration of the full network kinetics is then carried out to explore time dependent behavior of different system components, that qualitatively capture the essential features of experimental results performed in vivo. Furthermore, the developed model has been utilized to study mutants that are impaired in their ability to phosphorylate the transcription factor, BvgA, of the signaling network.
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Yeo WS, Zwir I, Huang HV, Shin D, Kato A, Groisman EA. Intrinsic negative feedback governs activation surge in two-component regulatory systems. Mol Cell 2012; 45:409-21. [PMID: 22325356 DOI: 10.1016/j.molcel.2011.12.027] [Citation(s) in RCA: 35] [Impact Index Per Article: 2.9] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 05/18/2011] [Revised: 09/26/2011] [Accepted: 12/13/2011] [Indexed: 12/18/2022]
Abstract
PhoP and PhoQ comprise a two-component system in the bacterium Salmonella enterica. PhoQ is the sensor kinase/phosphatase that modifies the phosphorylation state of the regulator PhoP in response to stimuli. The amount of phosphorylated PhoP surges after activation, then declines to reach a steady-state level. We now recapitulate this surge in vitro by incubating PhoP and PhoQ with ATP and ADP. Mathematical modeling identified PhoQ's affinity for ADP as the key parameter dictating phosphorylated PhoP levels, as ADP promotes PhoQ's phosphatase activity toward phosphorylated PhoP. The lid covering the nucleotide-binding pocket of PhoQ governs the kinase to phosphatase switch because a lid mutation that decreased ADP binding compromised PhoQ's phosphatase activity in vitro and resulted in sustained expression of PhoP-dependent mRNAs in vivo. This feedback mechanism may curtail futile ATP consumption because ADP not only stimulates PhoQ's phosphatase activity but also inhibits ATP binding necessary for the kinase reaction.
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Affiliation(s)
- Won-Sik Yeo
- Section of Microbial Pathogenesis, Yale School of Medicine, 295 Congress Avenue, 354D, New Haven, CT 06536, USA
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12
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Brown D. A mathematical model of the Gac/Rsm quorum sensing network in Pseudomonas fluorescens. Biosystems 2010; 101:200-12. [PMID: 20643183 DOI: 10.1016/j.biosystems.2010.07.004] [Citation(s) in RCA: 12] [Impact Index Per Article: 0.9] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 01/12/2010] [Revised: 06/25/2010] [Accepted: 07/13/2010] [Indexed: 10/19/2022]
Abstract
I present a deterministic model of the dynamics of signal transduction and gene expression in the Gac/Rsm network of the soil-dwelling bacterium Pseudomonas fluorescens. The network is involved in quorum sensing and governs antifungal production in this important biocontrol agent. A central role is played by small untranslated RNAs, which sequester regulatory mRNA-binding proteins. The model provides a reasonable match to the available data, which consists primarily of time series from reporter gene fusions. I use the model to investigate the information-processing properties of the Gac/Rsm network, in part by comparing it to a simplified model capable of quorum sensing. The results suggest that the complexity and redundancy of the Gac/Rsm network have evolved to meet the conflicting requirements of high sensitivity to environmental conditions and a conservative, robust response to variability in parameter values. Similar systems exist in a wide variety of bacteria, where they control a diverse set of population-dependent behaviors. This makes them important subjects for mathematical models that can help link empirical understanding of network structure to theoretical insights into how these networks have evolved to function under natural conditions.
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Affiliation(s)
- David Brown
- Dept. of Mathematics and Computer Science, Colorado College, 14 E. Cache la Poudre St., Colorado Springs, CO 80903, USA.
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Goulian M. Two-component signaling circuit structure and properties. Curr Opin Microbiol 2010; 13:184-9. [PMID: 20149717 DOI: 10.1016/j.mib.2010.01.009] [Citation(s) in RCA: 98] [Impact Index Per Article: 7.0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 12/02/2009] [Revised: 01/15/2010] [Accepted: 01/15/2010] [Indexed: 12/18/2022]
Abstract
Various modeling and experimental studies have analyzed the reactions, interconnections, and motifs in two-component systems, with an eye toward understanding their physiological implications and the differences between alternative designs. Examples where recent progress has been made include aspects of autoregulation, signal integration in branched pathways, cross-talk suppression, and cross-regulation via connector proteins.
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Affiliation(s)
- Mark Goulian
- Department of Biology, University of Pennsylvania, Philadelphia, PA 19104-6018, USA.
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Mitrophanov AY, Groisman EA. Response acceleration in post-translationally regulated genetic circuits. J Mol Biol 2009; 396:1398-409. [PMID: 19932119 DOI: 10.1016/j.jmb.2009.11.043] [Citation(s) in RCA: 8] [Impact Index Per Article: 0.5] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 10/01/2009] [Revised: 10/28/2009] [Accepted: 11/16/2009] [Indexed: 11/15/2022]
Abstract
Transcription factors must often be chemically modified to perform their functions. Yet, it is not known whether the mechanisms that bring about such modifications impact the quantitative or kinetic properties of gene expression. Phosphorylation controls the activity of regulatory proteins of the two-component system family, which constitutes a prevalent form of bacterial signal transduction. These proteins are phosphorylated/dephosphorylated by cognate sensor proteins in response to specific signals. The phosphorylation level of the regulatory proteins is also modulated by small proteins-termed connectors-that are produced when a cell experiences signals other than those detected directly by the sensors. Here, we explore how differences in the targets (i.e., sensor or regulator) and the mechanisms used by connectors to generate phosphorylated regulatory proteins affect the output of two-component systems. Our mathematical modeling demonstrates that sensor-targeting mechanisms exhibit stronger response acceleration than those where the connector targets the regulator. These differences are robust to perturbations in kinetic parameters but dependent upon the specific sensor-to-regulator ratio and how the ratio is controlled in living cells. In contrast, the steady-state output levels of the circuits are determined primarily by the circuit parameters, and can be adjusted without affecting response acceleration. Likewise, the analyzed connector-mediated circuits exhibit similar noise generation properties. Our results highlight the relationship between the architecture of genetic regulatory circuits and their dynamic properties.
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Affiliation(s)
- Alexander Y Mitrophanov
- Department of Molecular Microbiology, Howard Hughes Medical Institute, Washington University School of Medicine, Campus Box 8230, 660 South Euclid Avenue, St Louis, MO 63110, USA
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Marijuán PC, Navarro J, del Moral R. On prokaryotic intelligence: strategies for sensing the environment. Biosystems 2009; 99:94-103. [PMID: 19781596 DOI: 10.1016/j.biosystems.2009.09.004] [Citation(s) in RCA: 43] [Impact Index Per Article: 2.9] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 07/09/2009] [Revised: 09/14/2009] [Accepted: 09/17/2009] [Indexed: 10/20/2022]
Abstract
The adaptive relationship with the environment is a sine qua non condition for any intelligent system. Discussions on the nature of cellular intelligence, however, have not systematically pursued yet the question of whether there is a fundamental way of sensing the environment, which may characterize prokaryotic cells, or not. The molecular systems found in bacterial signaling are extremely diverse, ranging from very simple transcription regulators (single proteins comprising just two domains) to the multi-component, multi-pathway signaling cascades that regulate crucial stages of the cell cycle, such as sporulation, biofilm formation, dormancy, pathogenesis or flagellar biosynthesis. The combined complexity of the environment and of the cellular way of life is reflected as a whole in the aggregate of signaling elements: an interesting power-law relationship emerges in that regard. In a basic taxonomy of bacterial signaling systems, the first level of complexity corresponds to the simplest regulators, the "one-component systems" (OCSs), which are defined as proteins that contain known or predicted input and output domains but lack histidine kinase and receiver domains. They are evolutionary precursors of the "two-component systems" (TCSs), which include histidine protein-kinase receptors and an independent response regulator, and are considered as the central signaling paradigm within prokaryotic organisms. The addition of independent receptors begets further functional complexity: thus, "three-component systems" (ThCSs) should be applied to those two-component systems that incorporate an extra non-kinase receptor to activate the protein-kinase. Further, the combined information processing functions (cross-talk) and integrative dynamics that OCS, TCS and ThCS may achieve together in the prokaryotic cell have to be depicted, as well as the relationship of these informational functions with the life cycle organization and its checkpoints. Finally, the extent to which formal models would capture the ongoing relationship of the living cell with its medium has to be gauged, in the light of both the complexity of molecular recognition events and the impredicative nature of living systems.
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Affiliation(s)
- Pedro C Marijuán
- Grupo de Bioinformación y Biología de Sistemas, Instituto Aragonés de Ciencias de la Salud (I+CS), Zaragoza, Spain.
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Heermann R, Lippert ML, Jung K. Domain swapping reveals that the N-terminal domain of the sensor kinase KdpD in Escherichia coli is important for signaling. BMC Microbiol 2009; 9:133. [PMID: 19589130 PMCID: PMC2714519 DOI: 10.1186/1471-2180-9-133] [Citation(s) in RCA: 12] [Impact Index Per Article: 0.8] [Reference Citation Analysis] [Abstract] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 03/13/2009] [Accepted: 07/09/2009] [Indexed: 11/10/2022] Open
Abstract
BACKGROUND The KdpD/KdpE two-component system of Escherichia coli regulates expression of the kdpFABC operon encoding the high affinity K+ transport system KdpFABC. The input domain of KdpD comprises a domain that belongs to the family of universal stress proteins (Usp). It has been previously demonstrated that UspC binds to this domain, resulting in KdpD/KdpE scaffolding under salt stress. However the mechanistic significance of this domain for signaling remains unclear. Here, we employed a "domain swapping" approach to replace the KdpD-Usp domain with four homologous domains or with the six soluble Usp proteins of E. coli. RESULTS Full response to salt stress was only achieved with a chimera that contains UspC, probably due to unaffected scaffolding of the KdpD/KdpE signaling cascade by soluble UspC. Unexpectedly, chimeras containing either UspF or UspG not only prevented kdpFABC expression under salt stress but also under K+ limiting conditions, although these hybrid proteins exhibited kinase and phosphotransferase activities in vitro. These are the first KdpD derivatives that do not respond to K+ limitation due to alterations in the N-terminal domain. Analysis of the KdpD-Usp tertiary structure revealed that this domain has a net positively charged surface, while UspF and UspG are characterized by net negative surface charges. CONCLUSION The Usp domain within KdpD not only functions as a binding surface for the scaffold UspC, but it is also important for KdpD signaling. We propose that KdpD sensing/signaling involves alterations of electrostatic interactions between the large N- and C-terminal cytoplasmic domains.
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Affiliation(s)
- Ralf Heermann
- Ludwig-Maximilians-Universität München, Biozentrum, Bereich Mikrobiologie, D-82152 Martinsried, Germany.
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Heermann R, Weber A, Mayer B, Ott M, Hauser E, Gabriel G, Pirch T, Jung K. The universal stress protein UspC scaffolds the KdpD/KdpE signaling cascade of Escherichia coli under salt stress. J Mol Biol 2008; 386:134-48. [PMID: 19101563 DOI: 10.1016/j.jmb.2008.12.007] [Citation(s) in RCA: 51] [Impact Index Per Article: 3.2] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 08/18/2008] [Revised: 11/14/2008] [Accepted: 12/03/2008] [Indexed: 11/29/2022]
Abstract
The sensor kinase KdpD and the response regulator KdpE control induction of the kdpFABC operon encoding the high-affinity K(+)-transport system KdpFABC in response to K(+) limitation or salt stress. Under K(+) limiting conditions the Kdp system restores the intracellular K(+) concentration, while in response to salt stress K(+) is accumulated far above the normal content. The kinase activity of KdpD is inhibited at high concentrations of K(+), so it has been puzzling how the sensor can be activated in response to salt stress. Here, we demonstrate that the universal stress protein UspC acts as a scaffolding protein of the KdpD/KdpE signaling cascade by interacting with a Usp domain in KdpD of the UspA subfamily under salt stress. Escherichia coli encodes three single domain proteins of this subfamily, UspA, UspC, and UspD, whose expression is up-regulated under various stress conditions. Among these proteins only UspC stimulated the in vitro reconstructed signaling cascade (KdpD-->KdpE-->DNA) resulting in phosphorylation of KdpE at a K(+) concentration that would otherwise almost prevent phosphorylation. In agreement, in a DeltauspC mutant KdpFABC production was down-regulated significantly when cells were exposed to salt stress, but unchanged under K(+) limitation. Biochemical studies revealed that UspC interacts specifically with the Usp domain in the stimulus perceiving N-terminal domain of KdpD. Furthermore, UspC stabilized the KdpD/KdpE~P/DNA complex and is therefore believed to act as a scaffolding protein. This study describes the stimulation of a bacterial two-component system under distinct stress conditions by a scaffolding protein, and highlights a new role of the universal stress proteins.
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Affiliation(s)
- Ralf Heermann
- Ludwig-Maximilians-Universität München, Bereich Mikrobiologie, Grosshaderner Str. 2-4, D-82152 Planegg-Martinsried, Germany
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18
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Abstract
Feedback loops have been identified in a variety of regulatory systems and organisms. While feedback loops of the same type (negative or positive) tend to have properties in common, they can play distinctively diverse roles in different regulatory systems, where they can affect virulence in a pathogenic bacterium, maturation patterns of vertebrate oocytes and transitions through cell cycle phases in eukaryotic cells. This review focuses on the properties and functions of positive feedback in biological systems, including bistability, hysteresis and activation surges.
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Affiliation(s)
- Alexander Y Mitrophanov
- Howard Hughes Medical Institute, Department of Molecular Microbiology, Washington University School of Medicine, St. Louis, MO 63110, USA
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Heermann R, Zeppenfeld T, Jung K. Simple generation of site-directed point mutations in the Escherichia coli chromosome using Red(R)/ET(R) Recombination. Microb Cell Fact 2008; 7:14. [PMID: 18435843 PMCID: PMC2373285 DOI: 10.1186/1475-2859-7-14] [Citation(s) in RCA: 59] [Impact Index Per Article: 3.7] [Reference Citation Analysis] [Abstract] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 02/15/2008] [Accepted: 04/24/2008] [Indexed: 12/01/2022] Open
Abstract
Background Introducing point mutations into bacterial chromosomes is important for further progress in studies relying on functional genomics, systems- and synthetic biology, and for metabolic engineering. For many investigations, chromosomal systems are required rather than artificial plasmid based systems. Results Here we describe the introduction of a single point mutation into the Escherichia coli chromosome by site-directed mutagenesis without leaving any selection marker. We used Red®/ET® Recombination in combination with rpsL counter-selection to introduce a single point mutation into the E. coli MG1655 genome, one of the widely used bacterial model strains in systems biology. The method we present is rapid and highly efficient. Since single-stranded synthetic oligonucleotides can be used for recombination, any chromosomal modification can be designed. Conclusion Chromosomal modifications performed by rpsL counter-selection may also be used for other bacteria that contain an rpsL homologue, since Red®/ET® Recombination has been applied to several enteric bacteria before.
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Affiliation(s)
- Ralf Heermann
- Ludwig-Maximilians-Universität München, Department Biologie I, Bereich Mikrobiologie, Maria-Ward-Str, 1a, D-80638 München, Germany.
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Kim JR, Cho KH. The multi-step phosphorelay mechanism of unorthodox two-component systems in E. coli realizes ultrasensitivity to stimuli while maintaining robustness to noises. Comput Biol Chem 2006; 30:438-44. [PMID: 17112785 DOI: 10.1016/j.compbiolchem.2006.09.004] [Citation(s) in RCA: 45] [Impact Index Per Article: 2.5] [Reference Citation Analysis] [Abstract] [MESH Headings] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 09/18/2006] [Accepted: 09/27/2006] [Indexed: 11/30/2022]
Abstract
E. coli has two-component systems composed of histidine kinase proteins and response regulator proteins. For a given extracellular stimulus, a histidine kinase senses the stimulus, autophosphorylates and then passes the phosphates to the cognate response regulators. The histidine kinase in an orthodox two-component system has only one histidine domain where the autophosphorylation occurs, but a histidine kinase in some unusual two-component systems (unorthodox two-component systems) has two histidine domains and one aspartate domain. So, the unorthodox two-component systems have more complex phosphorelay mechanisms than orthodox two-component systems. In general, the two-component systems are required to promptly respond to external stimuli for survival of E. coli. In this respect, the complex multi-step phosphorelay mechanism seems to be disadvantageous, but there are several unorthodox two-component systems in E. coli. In this paper, we investigate the reason why such unorthodox two-component systems are present in E. coli. For this purpose, we have developed simplified mathematical models of both orthodox and unorthodox two-component systems and analyzed their dynamical characteristics through extensive computer simulations. We have finally revealed that the unorthodox two-component systems realize ultrasensitive responses to external stimuli and also more robust responses to noises than the orthodox two-component systems.
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Affiliation(s)
- Jeong-Rae Kim
- Bio-MAX Institute, Seoul National University, Gwanak-gu, Seoul 151-818, Republic of Korea
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21
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Mitrophanov AY, Churchward G, Borodovsky M. Control of Streptococcus pyogenes virulence: modeling of the CovR/S signal transduction system. J Theor Biol 2006; 246:113-28. [PMID: 17240398 PMCID: PMC2688695 DOI: 10.1016/j.jtbi.2006.11.009] [Citation(s) in RCA: 21] [Impact Index Per Article: 1.2] [Reference Citation Analysis] [Abstract] [MESH Headings] [Grants] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 07/03/2006] [Revised: 10/06/2006] [Accepted: 11/13/2006] [Indexed: 11/16/2022]
Abstract
The CovR/S system in Streptococcus pyogenes (Group A Streptococcus, or GAS), a two-component signal transduction/transcription regulation system, controls the expression of major virulence factors. The presence of a negative feedback loop distinguishes the CovR/S system from the majority of bacterial two-component systems. We developed a deterministic model of the CovR/S system consisting of eight delay differential equations. Computational experiments showed that the system possessed a unique stable steady state. The dynamical behavior of the system showed a tendency for oscillations becoming more pronounced for longer but still biochemically realistic delays resulting from reductions in the rates of translation elongation. We have devised an efficient procedure for computing the system's steady state. Further, we have shown that the signal-response curves are hyperbolic for the default parameter values. However, in experiments with randomized parameters we demonstrated that sigmoidality of signal-response curves, implying a response threshold, is not only possible, but seems to be rather typical for CovR/S-like systems even when binding of the CovR response regulator protein to a promoter is non-cooperative. We used sensitivity analysis to simplify the model in order to make it analytically tractable. The existence and uniqueness of the steady state and hyperbolicity of signal-response curves for the majority of the variables was proved for the simplified model. Also, we found that provided CovS was active, the system was insensitive to changes in the concentration of any other phosphoryl donor such as acetyl phosphate.
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Affiliation(s)
| | - Gordon Churchward
- Department of Microbiology and Immunology, Emory University School of Medicine, Atlanta, GA 30322, USA
| | - Mark Borodovsky
- School of Biology, Georgia Institute of Technology, Atlanta, GA 30332-0230, USA
- Wallace H. Coulter Department of Biomedical Engineering, Georgia Institute of Technology and Emory University, Atlanta, GA 30332-0230, USA
- Corresponding author: Tel: +1 (404) 894-8432, Fax: +1 (404) 894-0519, E-mail:
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Timmen M, Bassler BL, Jung K. AI-1 Influences the Kinase Activity but Not the Phosphatase Activity of LuxN of Vibrio harveyi. J Biol Chem 2006; 281:24398-404. [PMID: 16807235 DOI: 10.1074/jbc.m604108200] [Citation(s) in RCA: 50] [Impact Index Per Article: 2.8] [Reference Citation Analysis] [Abstract] [MESH Headings] [Grants] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 12/31/2022] Open
Abstract
The Gram-negative bacterium Vibrio harveyi produces and responds to three autoinducers, AI-1, AI-2, and CAI-1 to regulate cell density dependent gene expression by a process referred to as quorum sensing. The concentration of the autoinducers is sensed by three cognate hybrid sensor kinases, and information is channeled via the HPt protein LuxU to the response regulator LuxO. Here, a detailed biochemical study on the enzymatic activities of the membrane-integrated hybrid sensor kinase LuxN, the sensor for N-(d-3-hydroxybutanoyl)homoserine lactone (AI-1), is provided. LuxN was heterologously overproduced as the full-length protein in Escherichia coli. LuxN activities were characterized in vitro and are an autophosphorylation activity with an unusually high ATP turnover rate, stable LuxU phosphorylation, and a slow phosphatase activity with LuxU approximately P as substrate. The presence of AI-1 affected the kinase but not the phosphatase activity of LuxN. The influence of AI-1 on the LuxN--> LuxU signaling step was monitored, and in the presence of AI-1, the kinase activity of LuxN, and hence the amount of LuxU approximately P produced, were significantly reduced. Half-maximal inhibition of kinase activity by AI-1 occurred at 20 mum. Together, these results indicate that AI-1 directly interacts with LuxN to down-regulate its autokinase activity and suggest that the key regulatory step of the AI-1 quorum sensing system of Vibrio harveyi is AI-1-mediated repression of the LuxN kinase activity.
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Affiliation(s)
- Melanie Timmen
- Ludwig-Maximilians-Universität München, Department Biologie I, Bereich Mikrobiologie, Maria-Ward-Strasse 1a, D-80638 München, Germany
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Weber A, Jung K. Biochemical properties of UspG, a universal stress protein of Escherichia coli. Biochemistry 2006; 45:1620-8. [PMID: 16460009 DOI: 10.1021/bi051301u] [Citation(s) in RCA: 16] [Impact Index Per Article: 0.9] [Reference Citation Analysis] [Abstract] [MESH Headings] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/29/2022]
Abstract
Universal stress proteins (USPs) are abundant and widely distributed proteins. Even so, their mode of function is hardly understood. This study focuses on UspG (UP12) of Escherichia coli, which belongs to the UspFG subfamily. Resolution of UspG by two-dimensional gel electrophoresis uncovered a posttranslational modification during its overexpression in E. coli. One isoform represented the adenylated/phosphorylated state of UspG. In vitro experiments with His-tagged UspG revealed intrinsic autophosphorylation and autoadenylation activity. Moreover, covalently bound AMP could be released from UspG by piperidine treatment and subsequent thin-layer chromatography. UspG was characterized as a dimer, a property that got lost in a C-terminal truncated UspG. Moreover, the C-terminal part was found to be important for structural stability, because the truncation of six C-terminal amino acids resulted in a protein that was further truncated by 18 amino acids in vivo. The truncated UspG was still enzymatically active, albeit the activities were significantly reduced.
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Affiliation(s)
- Arnim Weber
- Department Biologie I, Bereich Mikrobiologie, Ludwig-Maximilians-Universität, Maria-Ward-Strasse 1a, D-80638 München, Germany
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Saez-Rodriguez J, Kremling A, Gilles E. Dissecting the puzzle of life: modularization of signal transduction networks. Comput Chem Eng 2005. [DOI: 10.1016/j.compchemeng.2004.08.035] [Citation(s) in RCA: 21] [Impact Index Per Article: 1.1] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/26/2022]
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