TY - JOUR AB - Genes differ in the frequency at which they are expressed and in the form of regulation used to control their activity. In particular, positive or negative regulation can lead to activation of a gene in response to an external signal. Previous works proposed that the form of regulation of a gene correlates with its frequency of usage: positive regulation when the gene is frequently expressed and negative regulation when infrequently expressed. Such network design means that, in the absence of their regulators, the genes are found in their least required activity state, hence regulatory intervention is often necessary. Due to the multitude of genes and regulators, spurious binding and unbinding events, called “crosstalk”, could occur. To determine how the form of regulation affects the global crosstalk in the network, we used a mathematical model that includes multiple regulators and multiple target genes. We found that crosstalk depends non-monotonically on the availability of regulators. Our analysis showed that excess use of regulation entailed by the formerly suggested network design caused high crosstalk levels in a large part of the parameter space. We therefore considered the opposite ‘idle’ design, where the default unregulated state of genes is their frequently required activity state. We found, that ‘idle’ design minimized the use of regulation and thus minimized crosstalk. In addition, we estimated global crosstalk of S. cerevisiae using transcription factors binding data. We demonstrated that even partial network data could suffice to estimate its global crosstalk, suggesting its applicability to additional organisms. We found that S. cerevisiae estimated crosstalk is lower than that of a random network, suggesting that natural selection reduces crosstalk. In summary, our study highlights a new type of protein production cost which is typically overlooked: that of regulatory interference caused by the presence of excess regulators in the cell. It demonstrates the importance of whole-network descriptions, which could show effects missed by single-gene models. AU - Grah, Rok AU - Friedlander, Tamar ID - 7569 IS - 2 JF - PLOS Computational Biology SN - 1553-7358 TI - The relation between crosstalk and gene regulation form revisited VL - 16 ER - TY - DATA AB - Gene expression levels are influenced by multiple coexisting molecular mechanisms. Some of these interactions, such as those of transcription factors and promoters have been studied extensively. However, predicting phenotypes of gene regulatory networks remains a major challenge. Here, we use a well-defined synthetic gene regulatory network to study how network phenotypes depend on local genetic context, i.e. the genetic neighborhood of a transcription factor and its relative position. We show that one gene regulatory network with fixed topology can display not only quantitatively but also qualitatively different phenotypes, depending solely on the local genetic context of its components. Our results demonstrate that changes in local genetic context can place a single transcriptional unit within two separate regulons without the need for complex regulatory sequences. We propose that relative order of individual transcriptional units, with its potential for combinatorial complexity, plays an important role in shaping phenotypes of gene regulatory networks. AU - Nagy-Staron, Anna A ID - 8951 KW - Gene regulatory networks KW - Gene expression KW - Escherichia coli KW - Synthetic Biology TI - Sequences of gene regulatory network permutations for the article "Local genetic context shapes the function of a gene regulatory network" ER - TY - DATA AB - Organisms cope with change by employing transcriptional regulators. However, when faced with rare environments, the evolution of transcriptional regulators and their promoters may be too slow. We ask whether the intrinsic instability of gene duplication and amplification provides a generic alternative to canonical gene regulation. By real-time monitoring of gene copy number mutations in E. coli, we show that gene duplications and amplifications enable adaptation to fluctuating environments by rapidly generating copy number, and hence expression level, polymorphism. This ‘amplification-mediated gene expression tuning’ occurs on timescales similar to canonical gene regulation and can deal with rapid environmental changes. Mathematical modeling shows that amplifications also tune gene expression in stochastic environments where transcription factor-based schemes are hard to evolve or maintain. The fleeting nature of gene amplifications gives rise to a generic population-level mechanism that relies on genetic heterogeneity to rapidly tune expression of any gene, without leaving any genomic signature. AU - Grah, Rok ID - 7383 KW - Matlab scripts KW - analysis of microfluidics KW - mathematical model TI - Matlab scripts for the Paper: Gene Amplification as a Form of Population-Level Gene Expression regulation ER - TY - THES AB - Proteins and their complex dynamic interactions regulate cellular mechanisms from sensing and transducing extracellular signals, to mediating genetic responses, and sustaining or changing cell morphology. To manipulate these protein-protein interactions (PPIs) that govern the behavior and fate of cells, synthetically constructed, genetically encoded tools provide the means to precisely target proteins of interest (POIs), and control their subcellular localization and activity in vitro and in vivo. Ideal synthetic tools react to an orthogonal cue, i.e. a trigger that does not activate any other endogenous process, thereby allowing manipulation of the POI alone. In optogenetics, naturally occurring photosensory domain from plants, algae and bacteria are re-purposed and genetically fused to POIs. Illumination with light of a specific wavelength triggers a conformational change that can mediate PPIs, such as dimerization or oligomerization. By using light as a trigger, these tools can be activated with high spatial and temporal precision, on subcellular and millisecond scales. Chemogenetic tools consist of protein domains that recognize and bind small molecules. By genetic fusion to POIs, these domains can mediate PPIs upon addition of their specific ligands, which are often synthetically designed to provide highly specific interactions and exhibit good bioavailability. Most optogenetic tools to mediate PPIs are based on well-studied photoreceptors responding to red, blue or near-UV light, leaving a striking gap in the green band of the visible light spectrum. Among both optogenetic and chemogenetic tools, there is an abundance of methods to induce PPIs, but tools to disrupt them require UV illumination, rely on covalent linkage and subsequent enzymatic cleavage or initially result in protein clustering of unknown stoichiometry. This work describes how the recently structurally and photochemically characterized green-light responsive cobalamin-binding domains (CBDs) from bacterial transcription factors were re-purposed to function as a green-light responsive optogenetic tool. In contrast to previously engineered optogenetic tools, CBDs do not induce PPI, but rather confer a PPI already upon expression, which can be rapidly disrupted by illumination. This was employed to mimic inhibition of constitutive activity of a growth factor receptor, and successfully implement for cell signalling in mammalian cells and in vivo to rescue development in zebrafish. This work further describes the development and application of a chemically induced de-dimerizer (CDD) based on a recently identified and structurally described bacterial oxyreductase. CDD forms a dimer upon expression in absence of its cofactor, the flavin derivative F420. Safety and of domain expression and ligand exposure are demonstrated in vitro and in vivo in zebrafish. The system is further applied to inhibit cell signalling output from a chimeric receptor upon F420 treatment. CBDs and CDD expand the repertoire of synthetic tools by providing novel mechanisms of mediating PPIs, and by recognizing previously not utilized cues. In the future, they can readily be combined with existing synthetic tools to functionally manipulate PPIs in vitro and in vivo. AU - Kainrath, Stephanie ID - 7680 TI - Synthetic tools for optogenetic and chemogenetic inhibition of cellular signals ER - TY - JOUR AB - Organisms cope with change by taking advantage of transcriptional regulators. However, when faced with rare environments, the evolution of transcriptional regulators and their promoters may be too slow. Here, we investigate whether the intrinsic instability of gene duplication and amplification provides a generic alternative to canonical gene regulation. Using real-time monitoring of gene-copy-number mutations in Escherichia coli, we show that gene duplications and amplifications enable adaptation to fluctuating environments by rapidly generating copy-number and, therefore, expression-level polymorphisms. This amplification-mediated gene expression tuning (AMGET) occurs on timescales that are similar to canonical gene regulation and can respond to rapid environmental changes. Mathematical modelling shows that amplifications also tune gene expression in stochastic environments in which transcription-factor-based schemes are hard to evolve or maintain. The fleeting nature of gene amplifications gives rise to a generic population-level mechanism that relies on genetic heterogeneity to rapidly tune the expression of any gene, without leaving any genomic signature. AU - Tomanek, Isabella AU - Grah, Rok AU - Lagator, M. AU - Andersson, A. M. C. AU - Bollback, Jonathan P AU - Tkačik, Gašper AU - Guet, Calin C ID - 7652 IS - 4 JF - Nature Ecology & Evolution SN - 2397-334X TI - Gene amplification as a form of population-level gene expression regulation VL - 4 ER - TY - THES AB - Mutations are the raw material of evolution and come in many different flavors. Point mutations change a single letter in the DNA sequence, while copy number mutations like duplications or deletions add or remove many letters of the DNA sequence simultaneously. Each type of mutation exhibits specific properties like its rate of formation and reversal. Gene expression is a fundamental phenotype that can be altered by both, point and copy number mutations. The following thesis is concerned with the dynamics of gene expression evolution and how it is affected by the properties exhibited by point and copy number mutations. Specifically, we are considering i) copy number mutations during adaptation to fluctuating environments and ii) the interaction of copy number and point mutations during adaptation to constant environments.   AU - Tomanek, Isabella ID - 8653 KW - duplication KW - amplification KW - promoter KW - CNV KW - AMGET KW - experimental evolution KW - Escherichia coli SN - 2663-337X TI - The evolution of gene expression by copy number and point mutations ER - TY - JOUR AB - Tight control over protein degradation is a fundamental requirement for cells to respond rapidly to various stimuli and adapt to a fluctuating environment. Here we develop a versatile, easy-to-handle library of destabilizing tags (degrons) for the precise regulation of protein expression profiles in mammalian cells by modulating target protein half-lives in a predictable manner. Using the well-established tetracycline gene-regulation system as a model, we show that the dynamics of protein expression can be tuned by fusing appropriate degron tags to gene regulators. Next, we apply this degron library to tune a synthetic pulse-generating circuit in mammalian cells. With this toolbox we establish a set of pulse generators with tailored pulse lengths and magnitudes of protein expression. This methodology will prove useful in the functional roles of essential proteins, fine-tuning of gene-expression systems, and enabling a higher complexity in the design of synthetic biological systems in mammalian cells. AU - Chassin, Hélène AU - Müller, Marius AU - Tigges, Marcel AU - Scheller, Leo AU - Lang, Moritz AU - Fussenegger, Martin ID - 6465 IS - 1 JF - Nature Communications TI - A modular degron library for synthetic circuits in mammalian cells VL - 10 ER - TY - JOUR AB - With the recent publication by Silpe and Bassler (2019), considering phage detection of a bacterial quorum-sensing (QS) autoinducer, we now have as many as five examples of phage-associated intercellular communication (Table 1). Each potentially involves ecological inferences by phages as to concentrations of surrounding phage-infected or uninfected bacteria. While the utility of phage detection of bacterial QS molecules may at first glance appear to be straightforward, we suggest in this commentary that the underlying ecological explanation is unlikely to be simple. AU - Igler, Claudia AU - Abedon, Stephen T. ID - 6717 JF - Frontiers in Microbiology TI - Commentary: A host-produced quorum-sensing autoinducer controls a phage lysis-lysogeny decision VL - 10 ER - TY - JOUR AB - Mathematical models have been used successfully at diverse scales of biological organization, ranging from ecology and population dynamics to stochastic reaction events occurring between individual molecules in single cells. Generally, many biological processes unfold across multiple scales, with mutations being the best studied example of how stochasticity at the molecular scale can influence outcomes at the population scale. In many other contexts, however, an analogous link between micro- and macro-scale remains elusive, primarily due to the challenges involved in setting up and analyzing multi-scale models. Here, we employ such a model to investigate how stochasticity propagates from individual biochemical reaction events in the bacterial innate immune system to the ecology of bacteria and bacterial viruses. We show analytically how the dynamics of bacterial populations are shaped by the activities of immunity-conferring enzymes in single cells and how the ecological consequences imply optimal bacterial defense strategies against viruses. Our results suggest that bacterial populations in the presence of viruses can either optimize their initial growth rate or their population size, with the first strategy favoring simple immunity featuring a single restriction modification system and the second strategy favoring complex bacterial innate immunity featuring several simultaneously active restriction modification systems. AU - Ruess, Jakob AU - Pleska, Maros AU - Guet, Calin C AU - Tkačik, Gašper ID - 6784 IS - 7 JF - PLoS Computational Biology TI - Molecular noise of innate immunity shapes bacteria-phage ecologies VL - 15 ER - TY - GEN AU - Ruess, Jakob AU - Pleska, Maros AU - Guet, Calin C AU - Tkačik, Gašper ID - 9786 TI - Supporting text and results ER - TY - CONF AB - The expression of a gene is characterised by its transcription factors and the function processing them. If the transcription factors are not affected by gene products, the regulating function is often represented as a combinational logic circuit, where the outputs (product) are determined by current input values (transcription factors) only, and are hence independent on their relative arrival times. However, the simultaneous arrival of transcription factors (TFs) in genetic circuits is a strong assumption, given that the processes of transcription and translation of a gene into a protein introduce intrinsic time delays and that there is no global synchronisation among the arrival times of different molecular species at molecular targets. In this paper, we construct an experimentally implementable genetic circuit with two inputs and a single output, such that, in presence of small delays in input arrival, the circuit exhibits qualitatively distinct observable phenotypes. In particular, these phenotypes are long lived transients: they all converge to a single value, but so slowly, that they seem stable for an extended time period, longer than typical experiment duration. We used rule-based language to prototype our circuit, and we implemented a search for finding the parameter combinations raising the phenotypes of interest. The behaviour of our prototype circuit has wide implications. First, it suggests that GRNs can exploit event timing to create phenotypes. Second, it opens the possibility that GRNs are using event timing to react to stimuli and memorise events, without explicit feedback in regulation. From the modelling perspective, our prototype circuit demonstrates the critical importance of analysing the transient dynamics at the promoter binding sites of the DNA, before applying rapid equilibrium assumptions. AU - Guet, Calin C AU - Henzinger, Thomas A AU - Igler, Claudia AU - Petrov, Tatjana AU - Sezgin, Ali ID - 7147 SN - 0302-9743 T2 - 17th International Conference on Computational Methods in Systems Biology TI - Transient memory in gene regulation VL - 11773 ER - TY - JOUR AB - Autoregulation is the direct modulation of gene expression by the product of the corresponding gene. Autoregulation of bacterial gene expression has been mostly studied at the transcriptional level, when a protein acts as the cognate transcriptional repressor. A recent study investigating dynamics of the bacterial toxin–antitoxin MazEF system has shown how autoregulation at both the transcriptional and post-transcriptional levels affects the heterogeneity of Escherichia coli populations. Toxin–antitoxin systems hold a crucial but still elusive part in bacterial response to stress. This perspective highlights how these modules can also serve as a great model system for investigating basic concepts in gene regulation. However, as the genomic background and environmental conditions substantially influence toxin activation, it is important to study (auto)regulation of toxin–antitoxin systems in well-defined setups as well as in conditions that resemble the environmental niche. AU - Nikolic, Nela ID - 138 IS - 1 JF - Current Genetics TI - Autoregulation of bacterial gene expression: lessons from the MazEF toxin–antitoxin system VL - 65 ER - TY - JOUR AB - The abelian sandpile serves as a model to study self-organized criticality, a phenomenon occurring in biological, physical and social processes. The identity of the abelian group is a fractal composed of self-similar patches, and its limit is subject of extensive collaborative research. Here, we analyze the evolution of the sandpile identity under harmonic fields of different orders. We show that this evolution corresponds to periodic cycles through the abelian group characterized by the smooth transformation and apparent conservation of the patches constituting the identity. The dynamics induced by second and third order harmonics resemble smooth stretchings, respectively translations, of the identity, while the ones induced by fourth order harmonics resemble magnifications and rotations. Starting with order three, the dynamics pass through extended regions of seemingly random configurations which spontaneously reassemble into accentuated patterns. We show that the space of harmonic functions projects to the extended analogue of the sandpile group, thus providing a set of universal coordinates identifying configurations between different domains. Since the original sandpile group is a subgroup of the extended one, this directly implies that it admits a natural renormalization. Furthermore, we show that the harmonic fields can be induced by simple Markov processes, and that the corresponding stochastic dynamics show remarkable robustness over hundreds of periods. Finally, we encode information into seemingly random configurations, and decode this information with an algorithm requiring minimal prior knowledge. Our results suggest that harmonic fields might split the sandpile group into sub-sets showing different critical coefficients, and that it might be possible to extend the fractal structure of the identity beyond the boundaries of its domain. AU - Lang, Moritz AU - Shkolnikov, Mikhail ID - 196 IS - 8 JF - Proceedings of the National Academy of Sciences TI - Harmonic dynamics of the Abelian sandpile VL - 116 ER - TY - DATA AB - Organisms cope with change by employing transcriptional regulators. However, when faced with rare environments, the evolution of transcriptional regulators and their promoters may be too slow. We ask whether the intrinsic instability of gene duplication and amplification provides a generic alternative to canonical gene regulation. By real-time monitoring of gene copy number mutations in E. coli, we show that gene duplications and amplifications enable adaptation to fluctuating environments by rapidly generating copy number, and hence expression level, polymorphism. This ‘amplification-mediated gene expression tuning’ occurs on timescales similar to canonical gene regulation and can deal with rapid environmental changes. Mathematical modeling shows that amplifications also tune gene expression in stochastic environments where transcription factor-based schemes are hard to evolve or maintain. The fleeting nature of gene amplifications gives rise to a generic population-level mechanism that relies on genetic heterogeneity to rapidly tune expression of any gene, without leaving any genomic signature. AU - Tomanek, Isabella ID - 7016 KW - Escherichia coli KW - gene amplification KW - galactose KW - DOG KW - experimental evolution KW - Illumina sequence data KW - FACS data KW - microfluidics data TI - Data for the paper "Gene amplification as a form of population-level gene expression regulation" ER - TY - THES AB - Decades of studies have revealed the mechanisms of gene regulation in molecular detail. We make use of such well-described regulatory systems to explore how the molecular mechanisms of protein-protein and protein-DNA interactions shape the dynamics and evolution of gene regulation. i) We uncover how the biophysics of protein-DNA binding determines the potential of regulatory networks to evolve and adapt, which can be captured using a simple mathematical model. ii) The evolution of regulatory connections can lead to a significant amount of crosstalk between binding proteins. We explore the effect of crosstalk on gene expression from a target promoter, which seems to be modulated through binding competition at non-specific DNA sites. iii) We investigate how the very same biophysical characteristics as in i) can generate significant fitness costs for cells through global crosstalk, meaning non-specific DNA binding across the genomic background. iv) Binding competition between proteins at a target promoter is a prevailing regulatory feature due to the prevalence of co-regulation at bacterial promoters. However, the dynamics of these systems are not always straightforward to determine even if the molecular mechanisms of regulation are known. A detailed model of the biophysical interactions reveals that interference between the regulatory proteins can constitute a new, generic form of system memory that records the history of the input signals at the promoter. We demonstrate how the biophysics of protein-DNA binding can be harnessed to investigate the principles that shape and ultimately limit cellular gene regulation. These results provide a basis for studies of higher-level functionality, which arises from the underlying regulation. AU - Igler, Claudia ID - 6371 KW - gene regulation KW - biophysics KW - transcription factor binding KW - bacteria SN - 2663-337X TI - On the nature of gene regulatory design - The biophysics of transcription factor binding shapes gene regulation ER - TY - JOUR AB - The hanging-drop network (HDN) is a technology platform based on a completely open microfluidic network at the bottom of an inverted, surface-patterned substrate. The platform is predominantly used for the formation, culturing, and interaction of self-assembled spherical microtissues (spheroids) under precisely controlled flow conditions. Here, we describe design, fabrication, and operation of microfluidic hanging-drop networks. AU - Misun, Patrick AU - Birchler, Axel AU - Lang, Moritz AU - Hierlemann, Andreas AU - Frey, Olivier ID - 305 JF - Methods in Molecular Biology TI - Fabrication and operation of microfluidic hanging drop networks VL - 1771 ER - TY - JOUR AB - Escaping local optima is one of the major obstacles to function optimisation. Using the metaphor of a fitness landscape, local optima correspond to hills separated by fitness valleys that have to be overcome. We define a class of fitness valleys of tunable difficulty by considering their length, representing the Hamming path between the two optima and their depth, the drop in fitness. For this function class we present a runtime comparison between stochastic search algorithms using different search strategies. The (1+1) EA is a simple and well-studied evolutionary algorithm that has to jump across the valley to a point of higher fitness because it does not accept worsening moves (elitism). In contrast, the Metropolis algorithm and the Strong Selection Weak Mutation (SSWM) algorithm, a famous process in population genetics, are both able to cross the fitness valley by accepting worsening moves. We show that the runtime of the (1+1) EA depends critically on the length of the valley while the runtimes of the non-elitist algorithms depend crucially on the depth of the valley. Moreover, we show that both SSWM and Metropolis can also efficiently optimise a rugged function consisting of consecutive valleys. AU - Oliveto, Pietro AU - Paixao, Tiago AU - Pérez Heredia, Jorge AU - Sudholt, Dirk AU - Trubenova, Barbora ID - 723 IS - 5 JF - Algorithmica TI - How to escape local optima in black box optimisation when non elitism outperforms elitism VL - 80 ER - TY - JOUR AB - Buffers are essential for diluting bacterial cultures for flow cytometry analysis in order to study bacterial physiology and gene expression parameters based on fluorescence signals. Using a variety of constitutively expressed fluorescent proteins in Escherichia coli K-12 strain MG1655, we found strong artifactual changes in fluorescence levels after dilution into the commonly used flow cytometry buffer phosphate-buffered saline (PBS) and two other buffer solutions, Tris-HCl and M9 salts. These changes appeared very rapidly after dilution, and were linked to increased membrane permeability and loss in cell viability. We observed buffer-related effects in several different E. coli strains, K-12, C and W, but not E. coli B, which can be partially explained by differences in lipopolysaccharide (LPS) and outer membrane composition. Supplementing the buffers with divalent cations responsible for outer membrane stability, Mg2+ and Ca2+, preserved fluorescence signals, membrane integrity and viability of E. coli. Thus, stabilizing the bacterial outer membrane is essential for precise and unbiased measurements of fluorescence parameters using flow cytometry. AU - Tomasek, Kathrin AU - Bergmiller, Tobias AU - Guet, Calin C ID - 503 JF - Journal of Biotechnology TI - Lack of cations in flow cytometry buffers affect fluorescence signals by reducing membrane stability and viability of Escherichia coli strains VL - 268 ER - TY - JOUR AB - In experimental cultures, when bacteria are mixed with lytic (virulent) bacteriophage, bacterial cells resistant to the phage commonly emerge and become the dominant population of bacteria. Following the ascent of resistant mutants, the densities of bacteria in these simple communities become limited by resources rather than the phage. Despite the evolution of resistant hosts, upon which the phage cannot replicate, the lytic phage population is most commonly maintained in an apparently stable state with the resistant bacteria. Several mechanisms have been put forward to account for this result. Here we report the results of population dynamic/evolution experiments with a virulent mutant of phage Lambda, λVIR, and Escherichia coli in serial transfer cultures. We show that, following the ascent of λVIR-resistant bacteria, λVIRis maintained in the majority of cases in maltose-limited minimal media and in all cases in nutrient-rich broth. Using mathematical models and experiments, we show that the dominant mechanism responsible for maintenance of λVIRin these resource-limited populations dominated by resistant E. coli is a high rate of either phenotypic or genetic transition from resistance to susceptibility—a hitherto undemonstrated mechanism we term "leaky resistance." We discuss the implications of leaky resistance to our understanding of the conditions for the maintenance of phage in populations of bacteria—their “existence conditions.”. AU - Chaudhry, Waqas AU - Pleska, Maros AU - Shah, Nilang AU - Weiss, Howard AU - Mccall, Ingrid AU - Meyer, Justin AU - Gupta, Animesh AU - Guet, Calin C AU - Levin, Bruce ID - 82 IS - 8 JF - PLoS Biology TI - Leaky resistance and the conditions for the existence of lytic bacteriophage VL - 16 ER - TY - GEN AU - Chaudhry, Waqas AU - Pleska, Maros AU - Shah, Nilang AU - Weiss, Howard AU - Mccall, Ingrid AU - Meyer, Justin AU - Gupta, Animesh AU - Guet, Calin C AU - Levin, Bruce ID - 9810 TI - Numerical data used in figures ER - TY - JOUR AB - Temperate bacteriophages integrate in bacterial genomes as prophages and represent an important source of genetic variation for bacterial evolution, frequently transmitting fitness-augmenting genes such as toxins responsible for virulence of major pathogens. However, only a fraction of bacteriophage infections are lysogenic and lead to prophage acquisition, whereas the majority are lytic and kill the infected bacteria. Unless able to discriminate lytic from lysogenic infections, mechanisms of immunity to bacteriophages are expected to act as a double-edged sword and increase the odds of survival at the cost of depriving bacteria of potentially beneficial prophages. We show that although restriction-modification systems as mechanisms of innate immunity prevent both lytic and lysogenic infections indiscriminately in individual bacteria, they increase the number of prophage-acquiring individuals at the population level. We find that this counterintuitive result is a consequence of phage-host population dynamics, in which restriction-modification systems delay infection onset until bacteria reach densities at which the probability of lysogeny increases. These results underscore the importance of population-level dynamics as a key factor modulating costs and benefits of immunity to temperate bacteriophages AU - Pleska, Maros AU - Lang, Moritz AU - Refardt, Dominik AU - Levin, Bruce AU - Guet, Calin C ID - 457 IS - 2 JF - Nature Ecology and Evolution TI - Phage-host population dynamics promotes prophage acquisition in bacteria with innate immunity VL - 2 ER - TY - JOUR AB - G-protein-coupled receptors (GPCRs) form the largest receptor family, relay environmental stimuli to changes in cell behavior and represent prime drug targets. Many GPCRs are classified as orphan receptors because of the limited knowledge on their ligands and coupling to cellular signaling machineries. Here, we engineer a library of 63 chimeric receptors that contain the signaling domains of human orphan and understudied GPCRs functionally linked to the light-sensing domain of rhodopsin. Upon stimulation with visible light, we identify activation of canonical cell signaling pathways, including cAMP-, Ca2+-, MAPK/ERK-, and Rho-dependent pathways, downstream of the engineered receptors. For the human pseudogene GPR33, we resurrect a signaling function that supports its hypothesized role as a pathogen entry site. These results demonstrate that substituting unknown chemical activators with a light switch can reveal information about protein function and provide an optically controlled protein library for exploring the physiology and therapeutic potential of understudied GPCRs. AU - Morri, Maurizio AU - Sanchez-Romero, Inmaculada AU - Tichy, Alexandra-Madelaine AU - Kainrath, Stephanie AU - Gerrard, Elliot J. AU - Hirschfeld, Priscila AU - Schwarz, Jan AU - Janovjak, Harald L ID - 5984 IS - 1 JF - Nature Communications SN - 2041-1723 TI - Optical functionalization of human class A orphan G-protein-coupled receptors VL - 9 ER - TY - JOUR AB - Bacteria regulate genes to survive antibiotic stress, but regulation can be far from perfect. When regulation is not optimal, mutations that change gene expression can contribute to antibiotic resistance. It is not systematically understood to what extent natural gene regulation is or is not optimal for distinct antibiotics, and how changes in expression of specific genes quantitatively affect antibiotic resistance. Here we discover a simple quantitative relation between fitness, gene expression, and antibiotic potency, which rationalizes our observation that a multitude of genes and even innate antibiotic defense mechanisms have expression that is critically nonoptimal under antibiotic treatment. First, we developed a pooled-strain drug-diffusion assay and screened Escherichia coli overexpression and knockout libraries, finding that resistance to a range of 31 antibiotics could result from changing expression of a large and functionally diverse set of genes, in a primarily but not exclusively drug-specific manner. Second, by synthetically controlling the expression of single-drug and multidrug resistance genes, we observed that their fitness-expression functions changed dramatically under antibiotic treatment in accordance with a log-sensitivity relation. Thus, because many genes are nonoptimally expressed under antibiotic treatment, many regulatory mutations can contribute to resistance by altering expression and by activating latent defenses. AU - Palmer, Adam AU - Chait, Remy P AU - Kishony, Roy ID - 19 IS - 11 JF - Molecular Biology and Evolution SN - 0737-4038 TI - Nonoptimal gene expression creates latent potential for antibiotic resistance VL - 35 ER - TY - JOUR AB - The MazF toxin sequence-specifically cleaves single-stranded RNA upon various stressful conditions, and it is activated as a part of the mazEF toxin–antitoxin module in Escherichia coli. Although autoregulation of mazEF expression through the MazE antitoxin-dependent transcriptional repression has been biochemically characterized, less is known about post-transcriptional autoregulation, as well as how both of these autoregulatory features affect growth of single cells during conditions that promote MazF production. Here, we demonstrate post-transcriptional autoregulation of mazF expression dynamics by MazF cleaving its own transcript. Single-cell analyses of bacterial populations during ectopic MazF production indicated that two-level autoregulation of mazEF expression influences cell-to-cell growth rate heterogeneity. The increase in growth rate heterogeneity is governed by the MazE antitoxin, and tuned by the MazF-dependent mazF mRNA cleavage. Also, both autoregulatory features grant rapid exit from the stress caused by mazF overexpression. Time-lapse microscopy revealed that MazF-mediated cleavage of mazF mRNA leads to increased temporal variability in length of individual cells during ectopic mazF overexpression, as explained by a stochastic model indicating that mazEF mRNA cleavage underlies temporal fluctuations in MazF levels during stress. AU - Nikolic, Nela AU - Bergmiller, Tobias AU - Vandervelde, Alexandra AU - Albanese, Tanino AU - Gelens, Lendert AU - Moll, Isabella ID - 438 IS - 6 JF - Nucleic Acids Research TI - Autoregulation of mazEF expression underlies growth heterogeneity in bacterial populations VL - 46 ER - TY - DATA AB - Nela Nikolic, Tobias Bergmiller, Alexandra Vandervelde, Tanino G. Albanese, Lendert Gelens, and Isabella Moll (2018) “Autoregulation of mazEF expression underlies growth heterogeneity in bacterial populations” Nucleic Acids Research, doi: 10.15479/AT:ISTA:74; microscopy experiments by Tobias Bergmiller; image and data analysis by Nela Nikolic. AU - Bergmiller, Tobias AU - Nikolic, Nela ID - 5569 KW - microscopy KW - microfluidics TI - Time-lapse microscopy data ER - TY - JOUR AB - Which properties of metabolic networks can be derived solely from stoichiometry? Predictive results have been obtained by flux balance analysis (FBA), by postulating that cells set metabolic fluxes to maximize growth rate. Here we consider a generalization of FBA to single-cell level using maximum entropy modeling, which we extend and test experimentally. Specifically, we define for Escherichia coli metabolism a flux distribution that yields the experimental growth rate: the model, containing FBA as a limit, provides a better match to measured fluxes and it makes a wide range of predictions: on flux variability, regulation, and correlations; on the relative importance of stoichiometry vs. optimization; on scaling relations for growth rate distributions. We validate the latter here with single-cell data at different sub-inhibitory antibiotic concentrations. The model quantifies growth optimization as emerging from the interplay of competitive dynamics in the population and regulation of metabolism at the level of single cells. AU - De Martino, Daniele AU - Mc, Andersson Anna AU - Bergmiller, Tobias AU - Guet, Calin C AU - Tkacik, Gasper ID - 161 IS - 1 JF - Nature Communications TI - Statistical mechanics for metabolic networks during steady state growth VL - 9 ER - TY - THES AB - Expression of genes is a fundamental molecular phenotype that is subject to evolution by different types of mutations. Both the rate and the effect of mutations may depend on the DNA sequence context of a particular gene or a particular promoter sequence. In this thesis I investigate the nature of this dependence using simple genetic systems in Escherichia coli. With these systems I explore the evolution of constitutive gene expression from random starting sequences at different loci on the chromosome and at different locations in sequence space. First, I dissect chromosomal neighborhood effects that underlie locus-dependent differences in the potential of a gene under selection to become more highly expressed. Next, I find that the effects of point mutations in promoter sequences are dependent on sequence context, and that an existing energy matrix model performs poorly in predicting relative expression of unrelated sequences. Finally, I show that a substantial fraction of random sequences contain functional promoters and I present an extended thermodynamic model that predicts promoter strength in full sequence space. Taken together, these results provide new insights and guides on how to integrate information on sequence context to improve our qualitative and quantitative understanding of bacterial gene expression, with implications for rapid evolution of drug resistance, de novo evolution of genes, and horizontal gene transfer. AU - Steinrück, Magdalena ID - 26 SN - 2663-337X TI - The influence of sequence context on the evolution of bacterial gene expression ER - TY - JOUR AB - Gene regulatory networks evolve through rewiring of individual components—that is, through changes in regulatory connections. However, the mechanistic basis of regulatory rewiring is poorly understood. Using a canonical gene regulatory system, we quantify the properties of transcription factors that determine the evolutionary potential for rewiring of regulatory connections: robustness, tunability and evolvability. In vivo repression measurements of two repressors at mutated operator sites reveal their contrasting evolutionary potential: while robustness and evolvability were positively correlated, both were in trade-off with tunability. Epistatic interactions between adjacent operators alleviated this trade-off. A thermodynamic model explains how the differences in robustness, tunability and evolvability arise from biophysical characteristics of repressor–DNA binding. The model also uncovers that the energy matrix, which describes how mutations affect repressor–DNA binding, encodes crucial information about the evolutionary potential of a repressor. The biophysical determinants of evolutionary potential for regulatory rewiring constitute a mechanistic framework for understanding network evolution. AU - Igler, Claudia AU - Lagator, Mato AU - Tkacik, Gasper AU - Bollback, Jonathan P AU - Guet, Calin C ID - 67 IS - 10 JF - Nature Ecology and Evolution TI - Evolutionary potential of transcription factors for gene regulatory rewiring VL - 2 ER - TY - DATA AB - Mean repression values and standard error of the mean are given for all operator mutant libraries. AU - Igler, Claudia AU - Lagator, Mato AU - Tkacik, Gasper AU - Bollback, Jonathan P AU - Guet, Calin C ID - 5585 TI - Data for the paper Evolutionary potential of transcription factors for gene regulatory rewiring ER - TY - JOUR AB - Optogenetik und Photopharmakologie ermöglichen präzise räumliche und zeitliche Kontrolle von Proteinwechselwirkung und -funktion in Zellen und Tieren. Optogenetische Methoden, die auf grünes Licht ansprechen und zum Trennen von Proteinkomplexen geeignet sind, sind nichtweitläufig verfügbar, würden jedoch mehrfarbige Experimente zur Beantwortung von biologischen Fragestellungen ermöglichen. Hier demonstrieren wir die Verwendung von Cobalamin(Vitamin B12)-bindenden Domänen von bakteriellen CarH-Transkriptionsfaktoren zur Grünlicht-induzierten Dissoziation von Rezeptoren. Fusioniert mit dem Fibroblasten-W achstumsfaktor-Rezeptor 1 führten diese im Dunkeln in kultivierten Zellen zu Signalaktivität durch Oligomerisierung, welche durch Beleuchten umgehend aufgehoben wurde. In Zebrafischembryonen, die einen derartigen Rezeptor exprimieren, ermöglichte grünes Licht die Kontrolle über abnormale Signalaktivität während der Embryonalentwicklung. AU - Kainrath, Stephanie AU - Stadler, Manuela AU - Gschaider-Reichhart, Eva AU - Distel, Martin AU - Janovjak, Harald L ID - 538 IS - 16 JF - Angewandte Chemie TI - Grünlicht-induzierte Rezeptorinaktivierung durch Cobalamin-bindende Domänen VL - 129 ER - TY - JOUR AB - Most phenotypes are determined by molecular systems composed of specifically interacting molecules. However, unlike for individual components, little is known about the distributions of mutational effects of molecular systems as a whole. We ask how the distribution of mutational effects of a transcriptional regulatory system differs from the distributions of its components, by first independently, and then simultaneously, mutating a transcription factor and the associated promoter it represses. We find that the system distribution exhibits increased phenotypic variation compared to individual component distributions - an effect arising from intermolecular epistasis between the transcription factor and its DNA-binding site. In large part, this epistasis can be qualitatively attributed to the structure of the transcriptional regulatory system and could therefore be a common feature in prokaryotes. Counter-intuitively, intermolecular epistasis can alleviate the constraints of individual components, thereby increasing phenotypic variation that selection could act on and facilitating adaptive evolution. AU - Lagator, Mato AU - Sarikas, Srdjan AU - Acar, Hande AU - Bollback, Jonathan P AU - Guet, Calin C ID - 570 JF - eLife SN - 2050084X TI - Regulatory network structure determines patterns of intermolecular epistasis VL - 6 ER - TY - JOUR AB - Bacteria in groups vary individually, and interact with other bacteria and the environment to produce population-level patterns of gene expression. Investigating such behavior in detail requires measuring and controlling populations at the single-cell level alongside precisely specified interactions and environmental characteristics. Here we present an automated, programmable platform that combines image-based gene expression and growth measurements with on-line optogenetic expression control for hundreds of individual Escherichia coli cells over days, in a dynamically adjustable environment. This integrated platform broadly enables experiments that bridge individual and population behaviors. We demonstrate: (i) population structuring by independent closed-loop control of gene expression in many individual cells, (ii) cell-cell variation control during antibiotic perturbation, (iii) hybrid bio-digital circuits in single cells, and freely specifiable digital communication between individual bacteria. These examples showcase the potential for real-time integration of theoretical models with measurement and control of many individual cells to investigate and engineer microbial population behavior. AU - Chait, Remy P AU - Ruess, Jakob AU - Bergmiller, Tobias AU - Tkacik, Gasper AU - Guet, Calin C ID - 613 IS - 1 JF - Nature Communications SN - 20411723 TI - Shaping bacterial population behavior through computer interfaced control of individual cells VL - 8 ER - TY - JOUR AB - Bacteria adapt to adverse environmental conditions by altering gene expression patterns. Recently, a novel stress adaptation mechanism has been described that allows Escherichia coli to alter gene expression at the post-transcriptional level. The key player in this regulatory pathway is the endoribonuclease MazF, the toxin component of the toxin-antitoxin module mazEF that is triggered by various stressful conditions. In general, MazF degrades the majority of transcripts by cleaving at ACA sites, which results in the retardation of bacterial growth. Furthermore, MazF can process a small subset of mRNAs and render them leaderless by removing their ribosome binding site. MazF concomitantly modifies ribosomes, making them selective for the translation of leaderless mRNAs. In this study, we employed fluorescent reporter-systems to investigate mazEF expression during stressful conditions, and to infer consequences of the mRNA processing mediated by MazF on gene expression at the single-cell level. Our results suggest that mazEF transcription is maintained at low levels in single cells encountering adverse conditions, such as antibiotic stress or amino acid starvation. Moreover, using the grcA mRNA as a model for MazF-mediated mRNA processing, we found that MazF activation promotes heterogeneity in the grcA reporter expression, resulting in a subpopulation of cells with increased levels of GrcA reporter protein. AU - Nikolic, Nela AU - Didara, Zrinka AU - Moll, Isabella ID - 624 IS - 9 JF - PeerJ SN - 21678359 TI - MazF activation promotes translational heterogeneity of the grcA mRNA in Escherichia coli populations VL - 2017 ER - TY - JOUR AB - The bacterial flagellum is a self-assembling nanomachine. The external flagellar filament, several times longer than a bacterial cell body, is made of a few tens of thousands subunits of a single protein: flagellin. A fundamental problem concerns the molecular mechanism of how the flagellum grows outside the cell, where no discernible energy source is available. Here, we monitored the dynamic assembly of individual flagella using in situ labelling and real-time immunostaining of elongating flagellar filaments. We report that the rate of flagellum growth, initially ~1,700 amino acids per second, decreases with length and that the previously proposed chain mechanism does not contribute to the filament elongation dynamics. Inhibition of the proton motive force-dependent export apparatus revealed a major contribution of substrate injection in driving filament elongation. The combination of experimental and mathematical evidence demonstrates that a simple, injection-diffusion mechanism controls bacterial flagella growth outside the cell. AU - Renault, Thibaud AU - Abraham, Anthony AU - Bergmiller, Tobias AU - Paradis, Guillaume AU - Rainville, Simon AU - Charpentier, Emmanuelle AU - Guet, Calin C AU - Tu, Yuhai AU - Namba, Keiichi AU - Keener, James AU - Minamino, Tohru AU - Erhardt, Marc ID - 655 JF - eLife SN - 2050084X TI - Bacterial flagella grow through an injection diffusion mechanism VL - 6 ER - TY - JOUR AB - While we have good understanding of bacterial metabolism at the population level, we know little about the metabolic behavior of individual cells: do single cells in clonal populations sometimes specialize on different metabolic pathways? Such metabolic specialization could be driven by stochastic gene expression and could provide individual cells with growth benefits of specialization. We measured the degree of phenotypic specialization in two parallel metabolic pathways, the assimilation of glucose and arabinose. We grew Escherichia coli in chemostats, and used isotope-labeled sugars in combination with nanometer-scale secondary ion mass spectrometry and mathematical modeling to quantify sugar assimilation at the single-cell level. We found large variation in metabolic activities between single cells, both in absolute assimilation and in the degree to which individual cells specialize in the assimilation of different sugars. Analysis of transcriptional reporters indicated that this variation was at least partially based on cell-to-cell variation in gene expression. Metabolic differences between cells in clonal populations could potentially reduce metabolic incompatibilities between different pathways, and increase the rate at which parallel reactions can be performed. AU - Nikolic, Nela AU - Schreiber, Frank AU - Dal Co, Alma AU - Kiviet, Daniel AU - Bergmiller, Tobias AU - Littmann, Sten AU - Kuypers, Marcel AU - Ackermann, Martin ID - 541 IS - 12 JF - PLoS Genetics SN - 15537390 TI - Cell-to-cell variation and specialization in sugar metabolism in clonal bacterial populations VL - 13 ER - TY - GEN AB - information on culture conditions, phage mutagenesis, verification and lysate preparation; Raw data AU - Pleska, Maros AU - Guet, Calin C ID - 9847 TI - Supplementary materials and methods; Full data set from effects of mutations in phage restriction sites during escape from restriction–modification ER - TY - GEN AB - Estimates of 13 C-arabinose and 2 H-glucose uptake from the fractions of heavy isotopes measured in single cells AU - Nikolic, Nela AU - Schreiber, Frank AU - Dal Co, Alma AU - Kiviet, Daniel AU - Bergmiller, Tobias AU - Littmann, Sten AU - Kuypers, Marcel AU - Ackermann, Martin ID - 9845 TI - Mathematical model ER - TY - GEN AB - This text provides additional information about the model, a derivation of the analytic results in Eq (4), and details about simulations of an additional parameter set. AU - Lukacisinova, Marta AU - Novak, Sebastian AU - Paixao, Tiago ID - 9849 TI - Modelling and simulation details ER - TY - GEN AB - In this text, we discuss how a cost of resistance and the possibility of lethal mutations impact our model. AU - Lukacisinova, Marta AU - Novak, Sebastian AU - Paixao, Tiago ID - 9850 TI - Extensions of the model ER - TY - GEN AU - Nikolic, Nela AU - Schreiber, Frank AU - Dal Co, Alma AU - Kiviet, Daniel AU - Bergmiller, Tobias AU - Littmann, Sten AU - Kuypers, Marcel AU - Ackermann, Martin ID - 9846 TI - Supplementary methods ER - TY - GEN AB - Based on the intuitive derivation of the dynamics of SIM allele frequency pM in the main text, we present a heuristic prediction for the long-term SIM allele frequencies with χ > 1 stresses and compare it to numerical simulations. AU - Lukacisinova, Marta AU - Novak, Sebastian AU - Paixao, Tiago ID - 9851 TI - Heuristic prediction for multiple stresses ER - TY - GEN AB - We show how different combination strategies affect the fraction of individuals that are multi-resistant. AU - Lukacisinova, Marta AU - Novak, Sebastian AU - Paixao, Tiago ID - 9852 TI - Resistance frequencies for different combination strategies ER - TY - GEN AU - Nikolic, Nela AU - Schreiber, Frank AU - Dal Co, Alma AU - Kiviet, Daniel AU - Bergmiller, Tobias AU - Littmann, Sten AU - Kuypers, Marcel AU - Ackermann, Martin ID - 9844 TI - Source data for figures and tables ER - TY - JOUR AB - Restriction–modification systems are widespread genetic elements that protect bacteria from bacteriophage infections by recognizing and cleaving heterologous DNA at short, well-defined sequences called restriction sites. Bioinformatic evidence shows that restriction sites are significantly underrepresented in bacteriophage genomes, presumably because bacteriophages with fewer restriction sites are more likely to escape cleavage by restriction–modification systems. However, how mutations in restriction sites affect the likelihood of bacteriophage escape is unknown. Using the bacteriophage l and the restriction–modification system EcoRI, we show that while mutation effects at different restriction sites are unequal, they are independent. As a result, the probability of bacteriophage escape increases with each mutated restriction site. Our results experimentally support the role of restriction site avoidance as a response to selection imposed by restriction–modification systems and offer an insight into the events underlying the process of bacteriophage escape. AU - Pleska, Maros AU - Guet, Calin C ID - 561 IS - 12 JF - Biology Letters SN - 1744-9561 TI - Effects of mutations in phage restriction sites during escape from restriction–modification VL - 13 ER - TY - THES AB - Restriction-modification (RM) represents the simplest and possibly the most widespread mechanism of self/non-self discrimination in nature. In order to provide bacteria with immunity against bacteriophages and other parasitic genetic elements, RM systems rely on a balance between two enzymes: the restriction enzyme, which cleaves non-self DNA at specific restriction sites, and the modification enzyme, which tags the host’s DNA as self and thus protects it from cleavage. In this thesis, I use population and single-cell level experiments in combination with mathematical modeling to study different aspects of the interplay between RM systems, bacteria and bacteriophages. First, I analyze how mutations in phage restriction sites affect the probability of phage escape – an inherently stochastic process, during which phages accidently get modified instead of restricted. Next, I use single-cell experiments to show that RM systems can, with a low probability, attack the genome of their bacterial host and that this primitive form of autoimmunity leads to a tradeoff between the evolutionary cost and benefit of RM systems. Finally, I investigate the nature of interactions between bacteria, RM systems and temperate bacteriophages to find that, as a consequence of phage escape and its impact on population dynamics, RM systems can promote acquisition of symbiotic bacteriophages, rather than limit it. The results presented here uncover new fundamental biological properties of RM systems and highlight their importance in the ecology and evolution of bacteria, bacteriophages and their interactions. AU - Pleska, Maros ID - 202 SN - 2663-337X TI - Biology of restriction-modification systems at the single-cell and population level ER - TY - JOUR AB - The behaviour of gene regulatory networks (GRNs) is typically analysed using simulation-based statistical testing-like methods. In this paper, we demonstrate that we can replace this approach by a formal verification-like method that gives higher assurance and scalability. We focus on Wagner’s weighted GRN model with varying weights, which is used in evolutionary biology. In the model, weight parameters represent the gene interaction strength that may change due to genetic mutations. For a property of interest, we synthesise the constraints over the parameter space that represent the set of GRNs satisfying the property. We experimentally show that our parameter synthesis procedure computes the mutational robustness of GRNs—an important problem of interest in evolutionary biology—more efficiently than the classical simulation method. We specify the property in linear temporal logic. We employ symbolic bounded model checking and SMT solving to compute the space of GRNs that satisfy the property, which amounts to synthesizing a set of linear constraints on the weights. AU - Giacobbe, Mirco AU - Guet, Calin C AU - Gupta, Ashutosh AU - Henzinger, Thomas A AU - Paixao, Tiago AU - Petrov, Tatjana ID - 1351 IS - 8 JF - Acta Informatica SN - 00015903 TI - Model checking the evolution of gene regulatory networks VL - 54 ER - TY - JOUR AB - Evolutionary algorithms (EAs) form a popular optimisation paradigm inspired by natural evolution. In recent years the field of evolutionary computation has developed a rigorous analytical theory to analyse the runtimes of EAs on many illustrative problems. Here we apply this theory to a simple model of natural evolution. In the Strong Selection Weak Mutation (SSWM) evolutionary regime the time between occurrences of new mutations is much longer than the time it takes for a mutated genotype to take over the population. In this situation, the population only contains copies of one genotype and evolution can be modelled as a stochastic process evolving one genotype by means of mutation and selection between the resident and the mutated genotype. The probability of accepting the mutated genotype then depends on the change in fitness. We study this process, SSWM, from an algorithmic perspective, quantifying its expected optimisation time for various parameters and investigating differences to a similar evolutionary algorithm, the well-known (1+1) EA. We show that SSWM can have a moderate advantage over the (1+1) EA at crossing fitness valleys and study an example where SSWM outperforms the (1+1) EA by taking advantage of information on the fitness gradient. AU - Paixao, Tiago AU - Pérez Heredia, Jorge AU - Sudholt, Dirk AU - Trubenova, Barbora ID - 1336 IS - 2 JF - Algorithmica SN - 01784617 TI - Towards a runtime comparison of natural and artificial evolution VL - 78 ER - TY - JOUR AB - BceRS and PsdRS are paralogous two-component systems in Bacillus subtilis controlling the response to antimicrobial peptides. In the presence of extracellular bacitracin and nisin, respectively, the two response regulators (RRs) bind their target promoters, PbceA or PpsdA, resulting in a strong up-regulation of target gene expression and ultimately antibiotic resistance. Despite high sequence similarity between the RRs BceR and PsdR and their known binding sites, no cross-regulation has been observed between them. We therefore investigated the specificity determinants of PbceA and PpsdA that ensure the insulation of these two paralogous pathways at the RR–promoter interface. In vivo and in vitro analyses demonstrate that the regulatory regions within these two promoters contain three important elements: in addition to the known (main) binding site, we identified a linker region and a secondary binding site that are crucial for functionality. Initial binding to the high-affinity, low-specificity main binding site is a prerequisite for the subsequent highly specific binding of a second RR dimer to the low-affinity secondary binding site. In addition to this hierarchical cooperative binding, discrimination requires a competition of the two RRs for their respective binding site mediated by only slight differences in binding affinities. AU - Fang, Chong AU - Nagy-Staron, Anna A AU - Grafe, Martin AU - Heermann, Ralf AU - Jung, Kirsten AU - Gebhard, Susanne AU - Mascher, Thorsten ID - 1084 IS - 1 JF - Molecular Microbiology SN - 0950382X TI - Insulation and wiring specificity of BceR like response regulators and their target promoters in Bacillus subtilis VL - 104 ER - TY - JOUR AB - Understanding the relation between genotype and phenotype remains a major challenge. The difficulty of predicting individual mutation effects, and particularly the interactions between them, has prevented the development of a comprehensive theory that links genotypic changes to their phenotypic effects. We show that a general thermodynamic framework for gene regulation, based on a biophysical understanding of protein-DNA binding, accurately predicts the sign of epistasis in a canonical cis-regulatory element consisting of overlapping RNA polymerase and repressor binding sites. Sign and magnitude of individual mutation effects are sufficient to predict the sign of epistasis and its environmental dependence. Thus, the thermodynamic model offers the correct null prediction for epistasis between mutations across DNA-binding sites. Our results indicate that a predictive theory for the effects of cis-regulatory mutations is possible from first principles, as long as the essential molecular mechanisms and the constraints these impose on a biological system are accounted for. AU - Lagator, Mato AU - Paixao, Tiago AU - Barton, Nicholas H AU - Bollback, Jonathan P AU - Guet, Calin C ID - 954 JF - eLife SN - 2050084X TI - On the mechanistic nature of epistasis in a canonical cis-regulatory element VL - 6 ER - TY - JOUR AB - A nonlinear system possesses an invariance with respect to a set of transformations if its output dynamics remain invariant when transforming the input, and adjusting the initial condition accordingly. Most research has focused on invariances with respect to time-independent pointwise transformations like translational-invariance (u(t) -> u(t) + p, p in R) or scale-invariance (u(t) -> pu(t), p in R>0). In this article, we introduce the concept of s0-invariances with respect to continuous input transformations exponentially growing/decaying over time. We show that s0-invariant systems not only encompass linear time-invariant (LTI) systems with transfer functions having an irreducible zero at s0 in R, but also that the input/output relationship of nonlinear s0-invariant systems possesses properties well known from their linear counterparts. Furthermore, we extend the concept of s0-invariances to second- and higher-order s0-invariances, corresponding to invariances with respect to transformations of the time-derivatives of the input, and encompassing LTI systems with zeros of multiplicity two or higher. Finally, we show that nth-order 0-invariant systems realize – under mild conditions – nth-order nonlinear differential operators: when excited by an input of a characteristic functional form, the system’s output converges to a constant value only depending on the nth (nonlinear) derivative of the input. AU - Lang, Moritz AU - Sontag, Eduardo ID - 1007 JF - Automatica SN - 0005-1098 TI - Zeros of nonlinear systems with input invariances VL - 81C ER -