Mutational analysis of N381, a key trimer contact residue in Tsr, the Escherichia coli serine chemoreceptor

Chemoreceptors such as Tsr, the serine receptor, function in trimer-of-dimer associations to mediate chemotactic behavior in Escherichia coli. The two subunits of each receptor homodimer occupy different positions in the trimer, one at its central axis and the other at the trimer periphery. Residue N381 of Tsr contributes to trimer stability through interactions with its counterparts in a central cavity surrounded by hydrophobic residues at the trimer axis. To assess the functional role of N381, we created and characterized a full set of amino acid replacements at this Tsr residue. We found that every amino acid replacement at N381 destroyed Tsr function, and all but one (N381G) of the mutant receptors also blocked signaling by Tar, the aspartate chemoreceptor. Tar jamming reflects the formation of signaling-defective mixed trimers of dimers, and in vivo assays with a trifunctional cross-linking reagent demonstrated trimer-based interactions between Tar and Tsr-N381 mutants. Mutant Tsr molecules with a charged amino acid or proline replacement exhibited the most severe trimer formation defects. These trimer-defective receptors, as well as most of the trimer-competent mutant receptors, were unable to form ternary signaling complexes with the CheA kinase and with CheW, which couples CheA to receptor control. Some of the trimer-competent mutant receptors, particularly those with a hydrophobic amino acid replacement, may not bind CheW/CheA because they form conformationally frozen or distorted trimers. These findings indicate that trimer dynamics probably are important for ternary complex assembly and that N381 may not be a direct binding determinant for CheW/CheA at the trimer periphery.     

CheA-Receptor Interaction Sites in Bacterial Chemotaxis

In bacterial chemotaxis, transmembrane chemoreceptors, the CheA histidine kinase, and the CheW coupling protein assemble into signaling complexes that allow bacteria to modulate their swimming behavior in response to environmental stimuli. Among the protein-protein interactions in the ternary complex, CheA-CheW and CheW-receptor interactions were studied previously, whereas CheA-receptor interaction has been less investigated. Here, we characterize the CheA-receptor interaction in Thermotoga maritima by NMR spectroscopy and validate the identified receptor binding site of CheA in Escherichia coli chemotaxis. We find that CheA interacts with a chemoreceptor in a manner similar to that of CheW, and the receptor binding site of CheA's regulatory domain is homologous to that of CheW. Collectively, the receptor binding sites in the CheA-CheW complex suggest that conformational changes in CheA are required for assembly of the CheA-CheW-receptor ternary complex and CheA activation.     

Assembly of an MCP receptor, CheW, and kinase CheA complex in the bacterial chemotaxis signal transduction pathway.

We examined the binding interactions of the methylation-dependent chemotaxis receptors Tsr and Tar with the chemotaxis-specific protein kinase CheA and the coupling factor CheW. Receptor directly bound CheW, but receptor-CheA binding was dependent upon the presence of CheW. These observations in combination with our previous identification of a CheW-CheA complex suggest that CheW physically links the kinase to the receptor. The ternary complex of receptor, CheW, and CheA is both kinetically and thermodynamically stable at physiological concentrations. Stability is not significantly altered by changes associated with attractant or repellent binding to the receptor. Such binding greatly modulates the kinase activity of CheA. Our results demonstrate that modulation of the kinase activity does not require association-dissociation of the ternary complex. This suggests that the receptor signal is transduced through conformational changes in the ternary complex rather than through changes in the association of the kinase CheA with receptor and/or CheW.     

CheA kinase and chemoreceptor interaction surfaces on CheW

Chemotactic responses of Escherichia coli to aspartic acid are initiated by a ternary protein complex composed of Tar (chemoreceptor), CheA (kinase), and CheW (a coupling protein that binds to both Tar and CheA and links their activities). We used a genetic selection based on the yeast two-hybrid assay to identify nine cheW point mutations that specifically disrupted CheW interaction with CheA but not with Tar. We sequenced these single point mutants and purified four of the mutant CheW proteins for detailed biochemical characterizations that demonstrated the weakened affinity of the mutant CheW proteins for CheA, but not for Tar. In the three-dimensional structure of CheW, the positions affected by these mutations cluster on one face of the protein, defining a potential binding interface for interaction of CheW with CheA. We used a similar two-hybrid approach to identify four mutation sites that disrupted CheW binding to Tar. Mapping of these "Tar-sensitive" mutation sites and those from previous suppressor analysis onto the structure of CheW defined an extended surface on a face of the protein that is adjacent to the CheA-binding surface and that may serve as an interface for CheW binding to Tar.     

Mechanism of CheA protein kinase activation in receptor signaling complexes.

The chemotaxis receptor for aspartate, Tar, generates responses by regulating the activity of an associated histidine kinase, CheA. Tar is composed of an extracellular sensory domain connected by a transmembrane sequence to a cytoplasmic signaling domain. The cytoplasmic domain fused to a leucine zipper dimerization domain forms soluble active ternary complexes with CheA and an adapter protein, CheW. The kinetics of kinase activity within these complexes compared to CheA alone indicate approximately a 50% decrease in the KM for ATP and a 100-fold increase in the Vmax. A truncated CheA construct that lacks the phosphoaccepting H-domain and the CheY/CheB-binding domain forms an activated ternary complex that is similar to the one formed by the full-length CheA protein. The Vmax of H-domain phosphorylation by this complex is enhanced approximately 60-fold, the KM for ATP decreased to 50%, and the KM for H-domain decreased to 20% of the values obtained with the same CheA construct in the absence of receptor and CheW. The kinetic data support a mechanism of CheA regulation that involves perturbation of an equilibrium between an inactive form where the H-domain is loosely bound and an active form where the H-domain is tightly associated with the CheA active site and properly positioned for phosphotransfer. The data are consistent with an asymmetric mechanism of CheA activation [Levit, M., Liu, I., Surette, M. G., and Stock, J. B. (1996) J. Biol. Chem. 271, 32057-32063] wherein only one phosphoaccepting domain of CheA at a time can interact with an active center within a CheA dimer.     

Subunit organization in a soluble complex of tar,CheW, and CheA by electron microscopy

The Salmonella and Escherichia coli aspartate receptor, Tar, is representative of a large class of membrane receptors that generate chemotaxis responses by regulating the activity of an associated histidine protein kinase, CheA. Tar is composed of an NH(2)-terminal periplasmic ligand-binding domain linked through a transmembrane sequence to a COOH-terminal coiled-coil signaling domain in the cytoplasm. The isolated cytoplasmic domain of Tar fused to a leucine zipper sequence forms a soluble complex with CheA and the Src homology 3-like kinase activator, CheW. Activity of the CheA kinase in the soluble complex is essentially the same as in fully active complexes with the intact receptor in the membrane. The soluble complex is composed of approximately 28 receptor cytoplasmic domain chains, 6 CheW chains, and 4 CheA chains. It has a molecular weight of 1,400,000 (Liu, I., Levit, M., Lurz, R., Surette, M.G., and Stock, J.B. (1997) EMBO J. 16, 7231-7240). Electron microscopy reveals an elongated barrel-like structure with a largely hollow center. Immunoelectron microscopy has provided a general picture of the subunit and domain organization of the complex. CheA and CheW appear to be in the middle of the complex with the leucine zippers of the receptor construct at the ends. These findings show that the receptor signaling complex forms higher ordered structures with defined geometric architectures. Coupled with atomic models of the subunits, our results provide insights into the functional architecture by which the receptor regulates CheA kinase activity during bacterial chemotaxis.     

Different signaling roles of two conserved residues in the cytoplasmic hairpin tip of Tsr, the Escherichia coli serine chemoreceptor

Bacterial chemoreceptors form ternary signaling complexes with the histidine kinase CheA through the coupling protein CheW. Receptor complexes in turn cluster into cellular arrays that produce highly sensitive responses to chemical stimuli. In Escherichia coli, receptors of different types form mixed trimer-of-dimers signaling teams through the tips of their highly conserved cytoplasmic domains. To explore the possibility that the hairpin loop at the tip of the trimer contact region might promote interactions with CheA or CheW, we constructed and characterized mutant receptors with amino acid replacements at the two nearly invariant hairpin charged residues of Tsr: R388, the most tip-proximal trimer contact residue, and E391, the apex residue of the hairpin turn. Mutant receptors were subjected to in vivo tests for the assembly and function of trimers, ternary complexes, and clusters. All R388 replacements impaired or destroyed Tsr function, apparently through changes in trimer stability or geometry. Large-residue replacements locked R388 mutant ternary complexes in the kinase-off (F, H) or kinase-on (W, Y) signaling state, suggesting that R388 contributes to signaling-related conformational changes in the trimer. In contrast, most E391 mutants retained function and all formed ternary signaling complexes efficiently. Hydrophobic replacements of any size (G, A, P, V, I, L, F, W) caused a novel phenotype in which the mutant receptors produced rapid switching between kinase-on and -off states, indicating that hairpin tip flexibility plays an important role in signal state transitions. These findings demonstrate that the receptor determinants for CheA and CheW binding probably lie outside the hairpin tip of the receptor signaling domain.     

Conformational Coupling between Receptor and Kinase Binding Sites through a Conserved Salt Bridge in a Signaling Complex Scaffold Protein

Bacterial chemotaxis is one of the best studied signal transduction pathways. CheW is a scaffold protein that mediates the association of the chemoreceptors and the CheA kinase in a ternary signaling complex. The effects of replacing conserved Arg62 of CheW with other residues suggested that the scaffold protein plays a more complex role than simply binding its partner proteins. Although R62A CheW had essentially the same affinity for chemoreceptors and CheA, cells expressing the mutant protein are impaired in chemotaxis. Using a combination of molecular dynamics simulations (MD), NMR spectroscopy, and circular dichroism (CD), we addressed the role of Arg62. Here we show that Arg62 forms a salt bridge with another highly conserved residue, Glu38. Although this interaction is unimportant for overall protein stability, it is essential to maintain the correct alignment of the chemoreceptor and kinase binding sites of CheW. Computational and experimental data suggest that the role of the salt bridge in maintaining the alignment of the two partner binding sites is fundamental to the function of the signaling complex but not to its assembly. We conclude that a key feature of CheW is to maintain the specific geometry between the two interaction sites required for its function as a scaffold.     

Determinants of chemoreceptor cluster formation in Escherichia coli

Chemotactic stimuli in bacteria are sensed by large sensory complexes, or receptor clusters, that consist of tens of thousands of proteins. Receptor clusters appear to play a key role in signal processing, but their structure remains poorly understood. Here we used fluorescent protein fusions to study in vivo formation of the cluster core, which consists of receptors, a kinase CheA and an assisting protein CheW. We show that receptors aggregate through their cytoplasmic domains even in the absence of other chemotaxis proteins. Clustering is further enhanced by the binding of CheW. Surprisingly, we observed that some fragments of CheA bind receptor clusters well in the absence of CheW, although the latter does assist the binding of full-length CheA. The resulting mode of receptor cluster formation is consistent with an experimentally observed flexible stoichiometry of chemosensory complexes and with assumptions of recently proposed computer models of signal processing in chemotaxis.     

The solution structure and interactions of CheW from Thermotoga maritima.

Using protein from the hyperthermophile Thermotoga maritima, we have determined the solution structure of CheW, an essential component in the formation of the bacterial chemotaxis signaling complex. The overall fold is similar to the regulatory domain of the chemotaxis kinase CheA. In addition, interactions of CheW with CheA were monitored by nuclear magnetic resonance (NMR) techniques. The chemical shift perturbation data show the probable contacts that CheW makes with CheA. In combination with previous genetic data, the structure also suggests a possible binding site for the chemotaxis receptor. These results provide a structural basis for a model in which CheW acts as a molecular bridge between CheA and the cytoplasmic tails of the receptor.     

Reconstruction of the chemotaxis receptor-kinase assembly

In bacterial chemotaxis, an assembly of transmembrane receptors, the CheA histidine kinase and the adaptor protein CheW processes environmental stimuli to regulate motility. The structure of a Thermotoga maritima receptor cytoplasmic domain defines CheA interaction regions and metal ion-coordinating charge centers that undergo chemical modification to tune receptor response. Dimeric CheA-CheW, defined by crystallography and pulsed ESR, positions two CheWs to form a cleft that is lined with residues important for receptor interactions and sized to clamp one receptor dimer. CheW residues involved in kinase activation map to interfaces that orient the CheW clamps. CheA regulatory domains associate in crystals through conserved hydrophobic surfaces. Such CheA self-contacts align the CheW receptor clamps for binding receptor tips. Linking layers of ternary complexes with close-packed receptors generates a lattice with reasonable component ratios, cooperative interactions among receptors and accessible sites for modification enzymes.     

Cysteine-scanning analysis of the chemoreceptor-coupling domain of the Escherichia coli chemotaxis signaling kinase CheA

The C-terminal P5 domain of the histidine kinase CheA is essential for coupling CheA autophosphorylation activity to chemoreceptor control through a binding interaction with the CheW protein. To locate P5 determinants critical for CheW binding and chemoreceptor control, we surveyed cysteine replacements at 39 residues predicted to be at or near the P5 surface in Escherichia coli CheA. Two-thirds of the Cys replacement proteins exhibited in vitro defects in CheW binding, either before or after modification with a bulky fluorescein group. The binding-defective sites were widely distributed on the P5 surface and were often interspersed with sites that caused no functional defects, implying that relatively minor structural perturbations, often far from the actual binding site, can influence its conformation or accessibility. The most likely CheW docking area included loop 2 in P5 folding subdomain 1. All but four of the binding-defective P5-Cys proteins were defective in receptor-mediated activation, suggesting that CheW binding, as measured in vitro, is necessary for assembly of ternary signaling complexes and/or subsequent CheA activation. Other Cys sites specifically affected receptor-mediated activation or deactivation of CheA, demonstrating that CheW binding is not sufficient for assembly and/or operation of receptor signaling complexes. Because P5 is quite similar to CheW, whose structure is known to be dynamic, we suggest that conformational flexibility and dynamic motions govern the signaling activities of the P5 domain. In addition, relative movements of the CheA domains may be involved in CheW binding, in ternary complex assembly, and in subsequent stimulus-induced conformational changes in receptor signaling complexes.     

Template-directed assembly of receptor signaling complexes

Transmembrane receptors in the signaling pathways of bacterial chemotaxis systems influence cell motility by forming noncovalent complexes with the cytoplasmic signaling proteins to regulate their activity. The requirements for receptor-mediated activation of CheA, the principal kinase of the Escherichia coli chemotaxis signaling pathway, were investigated using self-assembled clusters of a receptor fragment (CF) derived from the cytoplasmic domain of the aspartate receptor, Tar. Histidine-tagged Tar CF was assembled on the surface of sonicated unilamellar vesicles via a lipid containing the nickel-nitrilotriacetic acid moiety as a headgroup. In the presence of the adaptor protein CheW, CheA bound to and was activated approximately 180-fold by vesicle-bound CF. The extent of CheA activation was found to be independent of the level of covalent modification on the CF. Instead, the stability of the complex increased significantly as the level of covalent modification increased. Surface-assembled CF was also found to serve as a substrate for receptor methylation in a reaction catalyzed by the receptor methyltransferase, CheR. Since neither CheA activation nor CF methylation was observed in comparable samples in the absence of vesicles, it is concluded that surface templating generates the organization among CF subunits required for biochemical activity.     

Noncritical Signaling Role of a Kinase–Receptor Interaction Surface in the Escherichia coli Chemosensory Core Complex

In Escherichia coli chemosensory arrays, transmembrane receptors, a histidine autokinase CheA, and a scaffolding protein CheW interact to form an extended hexagonal lattice of signaling complexes. One interaction, previously assigned a crucial signaling role, occurs between chemoreceptors and the CheW-binding P5 domain of CheA. Structural studies showed a receptor helix fitting into a hydrophobic cleft at the boundary between P5 subdomains. Our work aimed to elucidate the in vivo roles of the receptor–P5 interface, employing as a model the interaction between E. coli CheA and Tsr, the serine chemoreceptor. Crosslinking assays confirmed P5 and Tsr contacts in vivo and their strict dependence on CheW. Moreover, the P5 domain only mediated CheA recruitment to polar receptor clusters if CheW was also present. Amino acid replacements at CheA.P5 cleft residues reduced CheA kinase activity, lowered serine response cooperativity, and partially impaired chemotaxis. Pseudoreversion studies identified suppressors of P5 cleft defects at other P5 groove residues or at surface-exposed residues in P5 subdomain 1, which interacts with CheW in signaling complexes. Our results indicate that a high-affinity P5–receptor binding interaction is not essential for core complex function. Rather, P5 groove residues are probably required for proper cleft structure and/or dynamic behavior, which likely impact conformational communication between P5 subdomains and the strong binding interaction with CheW that is necessary for kinase activation. We propose a model for signal transmission in chemotaxis signaling complexes in which the CheW–receptor interface plays the key role in conveying signaling-related conformational changes from receptors to the CheA kinase.     

Mutational analysis of the chemoreceptor-coupling domain of the Escherichia coli chemotaxis signaling kinase CheA

During chemotactic signaling by Escherichia coli, autophosphorylation of the histidine kinase CheA is coupled to chemoreceptor control by the CheW protein, which interacts with the C-terminal P5 domain of CheA. To identify P5 determinants important for CheW binding and receptor coupling control, we isolated and characterized a series of P5 missense mutants. The mutants fell into four phenotypic groups on the basis of in vivo behavioral and protein stability tests and in vitro assays with purified mutant proteins. Group 1 mutants exhibited autophosphorylation and receptor-coupling defects, and their CheA proteins were subject to relatively rapid degradation in vivo. Group 1 mutations were located at hydrophobic residues in P5 subdomain 2 and most likely caused folding defects. Group 2 mutants made stable CheA proteins with normal autophosphorylation ability but with defects in CheW binding and in receptor-mediated activation of CheA autophosphorylation. Their mutations affected residues in P5 subdomain 1 near the interface with the CheA dimerization (P3) and ATP-binding (P4) domains. Mutant proteins of group 3 were normal in all tests yet could not support chemotaxis, suggesting that P5 has one or more important but still unknown signaling functions. Group 4 mutant proteins were specifically defective in receptor-mediated deactivation control. The group 4 mutations were located in P5 subdomain 1 at the P3/P3' interface. We conclude that P5 subdomain 1 is important for CheW binding and for receptor coupling control and that these processes may require substantial motions of the P5 domain relative to the neighboring P3 and P4 domains of CheA.     

Protein footprinting in a complex milieu: identifying the interaction surfaces of the chemotaxis adaptor protein CheW

Characterizing protein-protein interactions in a biologically relevant context is important for understanding the mechanisms of signal transduction. Most signal transduction systems are membrane associated and consist of large multiprotein complexes that undergo rapid reorganization—circumstances that present challenges to traditional structure determination methods. To study protein-protein interactions in a biologically relevant complex milieu, we employed a protein footprinting strategy based on isotope-coded affinity tag (ICAT) reagents. ICAT reagents are valuable tools for proteomics. Here, we show their utility in an alternative application—they are ideal for protein footprinting in complex backgrounds because the affinity tag moiety allows for enrichment of alkylated species prior to analysis. We employed a water-soluble ICAT reagent to monitor cysteine accessibility and thereby to identify residues involved in two different protein-protein interactions in the Escherichia coli chemotaxis signaling system. The chemotaxis system is an archetypal transmembrane signaling pathway in which a complex protein superstructure underlies sophisticated sensory performance. The formation of this superstructure depends on the adaptor protein CheW, which mediates a functionally important bridging interaction between transmembrane receptors and histidine kinase. ICAT footprinting was used to map the surfaces of CheW that interact with the large multidomain histidine kinase CheA, as well as with the transmembrane chemoreceptor Tsr in native E. coli membranes. By leveraging the affinity tag, we successfully identified CheW surfaces responsible for CheA-Tsr interaction. The proximity of the CheA and Tsr binding sites on CheW suggests the formation of a composite CheW-Tsr surface for the recruitment of the signaling kinase to the chemoreceptor complex.     

The carboxy-terminal portion of the CheA kinase mediates regulation of autophosphorylation by transducer and CheW.

The CheA kinase is a central protein in the signal transduction network that controls chemotaxis in Escherichia coli. CheA receives information from a transmembrane receptor (e.g., Tar) and CheW proteins and relays it to the CheB and CheY proteins. The biochemical activities of CheA proteins truncated at various distances from the carboxy terminus were examined. The carboxy-terminal portion of CheA regulates autophosphorylation in response to environmental signals transmitted through Tar and CheW. The central portion of CheA is required for autophosphorylation and is also presumably involved in dimer formation. The amino-terminal portion of CheA was previously shown to contain the site of autophosphorylation and to be able to transfer the phosphoryl group to CheB and CheY. These studies further delineate three functional domains of the CheA protein.     

The receptor-CheW binding interface in bacterial chemotaxis

The basic structural unit of the signaling complex in bacterial chemotaxis consists of the chemotaxis kinase CheA, the coupling protein CheW, and chemoreceptors. These complexes play an important role in regulating the kinase activity of CheA and in turn controlling the rotational bias of the flagellar motor. Although individual three-dimensional structures of CheA, CheW, and chemoreceptors have been determined, the interaction between chemoreceptor and CheW is still unclear. We used nuclear magnetic resonance to characterize the interaction modes of chemoreceptor and CheW from Thermotoga maritima. We find that chemoreceptor binding surface is located near the highly conserved tip region of the N-terminal helix of the receptor, whereas the binding interface of CheW is placed between the β-strand 8 of domain 1 and the β-strands 1 and 3 of domain 2. The receptor-CheW complex shares a similar binding interface to that found in the "trimer-of-dimers" oligomer interface seen in the crystal structure of cytoplasmic domains of chemoreceptors from Escherichia coli. Based on the association constants inferred from fast exchange chemical shifts associated with receptor-CheW titrations, we estimate that CheW binds about four times tighter to its first binding site of the receptor dimer than to its second binding site. This apparent anticooperativity in binding may reflect the close proximity of the two CheW binding surfaces near the receptor tip or further, complicating the events at this highly conserved region of the receptor. This work describes the first direct observation of the interaction between chemoreceptor and CheW.     

An allosteric model for transmembrane signaling in bacterial chemotaxis

Bacteria are able to sense chemical gradients over a wide range of concentrations. However, calculations based on the known number of receptors do not predict such a range unless receptors interact with one another in a cooperative manner. A number of recent experiments support the notion that this remarkable sensitivity in chemotaxis is mediated by localized interactions or crosstalk between neighboring receptors. A number of simple, elegant models have proposed mechanisms for signal integration within receptor clusters. What is a lacking is a model, based on known molecular mechanisms and our accumulated knowledge of chemotaxis, that integrates data from multiple, heterogeneous sources. To address this question, we propose an allosteric mechanism for transmembrane signaling in bacterial chemotaxis based on the "trimer of dimers" model, where three receptor dimers form a stable complex with CheW and CheA. The mechanism is used to integrate a diverse set of experimental data in a consistent framework. The main predictions are: (1) trimers of receptor dimers form the building blocks for the signaling complexes; (2) receptor methylation increases the stability of the active state and retards the inhibition arising from ligand-bound receptors within the signaling complex; (3) trimer of dimer receptor complexes aggregate into clusters through their mutual interactions with CheA and CheW; (4) cooperativity arises from neighboring interaction within these clusters; and (5) cluster size is determined by the concentration of receptors, CheA, and CheW. The model is able to explain a number of seemingly contradictory experiments in a consistent manner and, in the process, explain how bacteria are able to sense chemical gradients over a wide range of concentrations by demonstrating how signals are integrated within the signaling complex.     

Cooperative signaling among bacterial chemoreceptors

Four chemoreceptors in Escherichia coli mediate responses to chemicals in the environment. The receptors self-associate and localize to the cell poles. This aggregation implies that interactions among receptors are important parameters of signal processing during chemotaxis. We examined this phenomenon using a receptor-coupled in vitro assay of CheA kinase activity. The ability of homogeneous populations of the serine receptor Tsr and the aspartate receptor Tar to stimulate CheA was directly proportional to the ratio of the receptor to total protein in cell membranes up to a fraction of 50%. Membranes containing mixed populations of Tar and Tsr supported an up to 4-fold greater stimulation of CheA than expected on the basis of the contributions of the individual receptors. Peak activity was seen at a Tar:Tsr ratio of 1:4. This synergy was observed only when the two proteins were expressed simultaneously, suggesting that, under our conditions, the fundamental "cooperative receptor unit" is relatively static, even in the absence of CheA and CheW. Finally, we observed that inhibition of receptor-stimulated CheA activity by serine or aspartate required significantly higher concentrations of ligand for membranes containing mixed Tsr and Tar populations than for membranes containing only Tsr (up to 10(2)-fold more serine) or Tar (up to 10(4)-fold more aspartate). Together with recent analyses of the interactions of Tsr and Tar in vivo, our results reveal the emergent properties of mixed receptor populations and emphasize their importance in the integrated signal processing that underlies bacterial chemotaxis.