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.     

Identification of a fourth cheY gene in Rhodobacter sphaeroides and interspecies interaction within the bacterial chemotaxis signal transduction pathway

The Escherichia coli chemotaxis signal transduction pathway has: CheA, a histidine protein kinase; CheW, a linker between CheA and sensory proteins; CheY, the effector; and CheZ, a signal terminator. Rhodobacter sphaeroides has multiple copies of these proteins (2 x CheA, 3 x CheW and 3 x CheY, but no CheZ). In this study, we found a fourth cheY and expressed these R. sphaeroides proteins in E. coli. CheA2 (but not CheA1) restored swarming to an E. coli cheA mutant (RP9535). CheW3 (but not CheW2) restored swarming to a cheW mutant of E. coli (RP4606). R. sphaeroides CheYs did not affect E. coli lacking CheY, but restored swarming to a cheZ strain (RP1616), indicating that they can act as signal terminators in E. coli. An E. coli CheY, which is phosphorylated but cannot bind the motor (CheY109KR), was expressed in RP1616 but had no effect. Overexpression of CheA2, CheW2, CheW3, CheY1, CheY3 and CheY4 inhibited chemotaxis of wild-type E. coli (RP437) by increasing its smooth-swimming bias. While some R. sphaeroides proteins restore tumbling to smooth-swimming E. coli mutants, their activity is not controlled by the chemosensory receptors. R. sphaeroides possesses a phosphorelay cascade compatible with that of E. coli, but has additional incompatible homologues.     

Protein phosphorylation in the bacterial chemotaxis system

Bacterial chemotaxis involves the detection of changes in concentration of specific chemicals in the environment of the cell as a function of time. This process is mediated by a series of cell surface receptors that interact with and activate intracellular protein phosphorylation. Five cytoplasmic proteins essential for chemotaxis have been shown to be involved in a coupled system of protein phosphorylation. Ligand binding to cell surface receptors affects the rate of autophosphorylation of the CheA protein. In the absence of an attractant bound to receptor and in the presence of the CheW protein, the rate of CheA autophosphorylation is markedly increased. Phosphorylated CheA can transfer phosphate to the CheY or CheB proteins; phosphorylation of these "effector" proteins may increase their activity. The CheY protein is thought to regulate flagellar rotation and thus control swimming behavior. The CheB protein modifies the cell surface receptor and thus regulates receptor function. Finally, another chemotaxis protein, CheZ, acts to specifically dephosphorylate CheY-phosphate. This system shows marked similarity to the 2-component sensor-regulator systems found to control specific gene expression in a variety of bacteria.     

Reconstitution of signaling in bacterial chemotaxis.

Strains missing several genes required for chemotaxis toward amino acids, peptides, and certain sugars were tethered and their rotational behavior was analyzed. Null strains (called gutted) were deleted for genes that code for the transducers Tsr, Tar, Tap, and Trg and for the cytoplasmic proteins CheA, CheW, CheR, CheB, CheY, and CheZ. Motor switch components were wild type, flaAII(cheC), or flaBII(cheV). Gutted cells with wild-type motors spun exclusively counterclockwise, while those with mutant motors changed their directions of rotation. CheY reduced the bias (the fraction of time that cells spun counterclockwise) in either case. CheZ offset the effect of CheY to an extent that varied with switch allele but did not change the bias when tested alone. Transducers also increased the bias in the presence of CheY but not when tested alone. However, cells containing transducers and CheY failed to respond to attractants or repellents normally detected in the periplasm. This sensitivity was restored by addition of CheA and CheW. Thus, CheY both enhances clockwise rotation and couples the transducers to the flagella. CheZ acts, at the level of the motor, as a CheY antagonist. CheA or CheW or both are required to complete the signal pathway. A model is presented that explains these results and is consistent with other data found in the literature.     

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.     

Signalling‐dependent interactions between the kinase‐coupling protein CheW and chemoreceptors in living cells

Chemical signals sensed on the periplasmic side of bacterial cells by transmembrane chemoreceptors are transmitted to the flagellar motors via the histidine kinase CheA, which controls the phosphorylation level of the effector protein CheY. Chemoreceptor arrays comprise remarkably stable supramolecular structures in which thousands of chemoreceptors are networked through interactions between their cytoplasmic tips, CheA, and the small coupling protein CheW. To explore the conformational changes that occur within this protein assembly during signalling, we used in vivo cross‐linking methods to detect close interactions between the coupling protein CheW and the serine receptor Tsr in intact Escherichia coli cells. We identified two signal‐sensitive contacts between CheW and the cytoplasmic tip of Tsr. Our results suggest that ligand binding triggers changes in the receptor that alter its signalling contacts with CheW (and/or CheA).     

Chemotaxis in Bacillus subtilis requires either of two functionally redundant CheW homologs.

We have characterized mutants in a novel gene of Bacillus subtilis, cheV, which encodes a protein homologous to both CheW and CheY. A null mutant in cheV is only slightly defective in capillary and tethered cell assays. However, a double mutant lacking both CheV and CheW has a strong tumble bias, does not respond to addition of attractant, and shows essentially no accumulation in capillary assays. Thus, CheV and CheW appear in part to be functionally redundant. A strain lacking CheW and expressing only the CheW domain of CheV is chemotactic, suggesting that the truncated CheV protein retains in vivo function. We speculate that CheV and CheW function together to couple CheA activation to methyl-accepting chemotaxis protein receptor status and that possible CheA-dependent phosphorylation of CheV contributes to adaptation.     

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.     

The short form of CheA couples chemoreception to CheA phosphorylation.

Escherichia coli cells express two forms of the chemotaxis-associated CheA protein, CheAL and CheAS, as the result of translational initiation at two distinct in-frame initiation sites in the gene cheA. The long form, CheAL, plays a crucial role in chemotactic signal transduction. As a histidine protein kinase, it first autophosphorylates at amino acid His-48; then, it phosphorylates two other chemotaxis proteins, CheY and CheB. The short form, CheAS, lacks the amino-terminal 97 amino acids of CheAL and, therefore, does not contain the site of autophosphorylation. However, it does retain a functional kinase domain. As a consequence, CheAS can mediate transphosphorylation of kinase-deficient CheAL variants. Here we demonstrate in vitro that CheAS also can mediate transphosphorylation of a CheAL variant that lacks the C-terminal segment, a portion of the protein which is thought to interact with CheW and the chemoreceptors. The presence of CheW and the chemoreceptor Tsr enhances this activity and results in modulation of the transphosphorylation rate in response to the Tsr ligand, L-serine. Because CheAS can mediate this activity, it can restore chemotactic ability to Escherichia coli cells that express this truncated CheAL variant.     

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.     

Phosphorylation and binding interactions of CheY studied by use of Badan-labeled protein

In the chemotaxis signal transduction pathway of Escherichia coli, the response regulator protein CheY is phosphorylated by the receptor-coupled protein kinase CheA. Previous studies of CheY phosphorylation and CheY interactions with other proteins in the chemotaxis pathway have exploited the fluorescence properties of Trp(58), located immediately adjacent to the phosphorylation site of CheY (Asp(57)). Such studies can be complicated by the intrinsic fluorescence and absorbance properties of CheA and other proteins of interest. To circumvent these difficulties, we generated a derivative of CheY carrying a covalently attached fluorescent label that serves as a sensitive reporter of phosphorylation and binding events and that absorbs and emits light at wavelengths well removed from potential interference by other proteins. This labeled version of CheY has the (dimethylamino)naphthalene fluorophore from Badan [6-bromoacetyl-2-(dimethylamino)naphthalene] attached to the thiol group of a cysteine introduced at position 17 of CheY by site-directed mutagenesis. Under phosphorylating conditions (or in the presence of beryllofluoride), the fluorescence emission of Badan-labeled CheY(M17C) exhibited an approximately 10 nm blue shift and an approximately 30% increase in signal intensity at 490 nm. The fluorescence of Badan-labeled CheY(M17C) also served as a sensitive reporter of CheY-CheA binding interactions, exhibiting an approximately 50% increase in emission intensity in the presence of saturating levels of CheA. Compared to wild-type CheY, Badan-labeled CheY exhibited reduced ability to autodephosphorylate and could not interact productively with the phosphatase CheZ. However, with respect to autophosphorylation and interactions with CheA, Badan-CheY performed identically to wild-type CheY, allowing us to explore CheA-CheY phosphotransfer kinetics and binding kinetics without interference from the fluorescence/absorbance properties of CheA and ATP. These results provide insights into CheY interactions with CheA, CheZ, and other components of the chemotaxis signaling pathway.     

Signaling Pathways in Bacterial Chemotaxis

The sensory transduction pathways between the transducing proteins and the switch on the flagellar motors have been investigated in Escherichia coli and Salmonella typhimurium. ATP, not GTP, is required for normal chemotaxis. A site of ATP action appears to be the conversion of an inactive form of the CheY protein to an active form, designated CheY*, that binds to the motor switch and initiates clockwise rotation. The methylation-dependent and methylation-independent pathways for chemotaxis have a common requirement for the CheA, CheW, and CheY proteins in addition to the switch and flagellar motor. It is concluded that the receptor/transducing proteins and the adaptation mechanism differ in the two types of pathway, but that other components of the transduction pathway are common to the methylation-dependent and methylation-independent pathways.     

A fragment liberated from the Escherichia coli CheA kinase that blocks stimulatory, but not inhibitory, chemoreceptor signaling.

CheA, a cytoplasmic histidine autokinase, in conjunction with the CheW coupling protein, forms stable ternary complexes with the cytoplasmic signaling domains of transmembrane chemoreceptors. These signaling complexes induce chemotactic movements by stimulating or inhibiting CheA autophosphorylation activity in response to chemoeffector stimuli. To explore the mechanisms of CheA control by chemoreceptor signaling complexes, we examined the ability of various CheA fragments to interfere with receptor coupling control of CheA. CheA[250-654], a fragment carrying the catalytic domain and an adjacent C-terminal segment previously implicated in stimulatory control of CheA activity, interfered with the production of clockwise flagellar rotation and with chemotactic ability in wild-type cells. Epistasis tests indicated that CheA[250-654] blocked clockwise rotation by disrupting stimulatory coupling of CheA to receptors. In vitro coupling assays confirmed that a stoichiometric excess of CheA[250-654] fragments could exclude CheA from stimulatory receptor complexes, most likely by competing for CheW binding. However, CheA[250-654] fragments, even in vast excess, did not block receptor-mediated inhibition of CheA, suggesting that CheA[250-654] lacks an inhibitory contact site present in native CheA. This inhibitory target is most likely in the N-terminal P1 domain, which contains His-48, the site of autophosphorylation. These findings suggest a simple allosteric model of CheA control by ternary signaling complexes in which the receptor signaling domain conformationally regulates the interaction between the substrate and catalytic domains of CheA.     

Chemotactic signaling by the P1 phosphorylation domain liberated from the CheA histidine kinase of Escherichia coli.

CheA is a histidine kinase central to the signal transduction pathway for chemotaxis in Escherichia coli. CheA autophosphorylates at His-48, with ATP as the phosphodonor, and then donates its phosphoryl groups to two aspartate autokinases, CheY and CheB. Phospho-CheY controls the flagellar motors, whereas phospho-CheB participates in sensory adaptation. Polypeptides encompassing the N-terminal P1 domain of CheA can be transphosphorylated in vitro by the CheA catalytic domain and yet have no deleterious effect on chemotactic ability when expressed at high levels in wild-type cells. To find out why, we examined the effects of a purified P1 fragment, CheA[1-149], on CheA-related signaling activities in vitro and devised in vivo assays for those same activities. Although readily phosphorylated by CheA[260-537], the CheA catalytic domain, CheA[1-149], was a poor substrate for transphosphorylation by full-length CheA molecules, implying that the resident P1 domain monopolizes the CheA catalytic center. CheA-H48Q, a nonphosphorylatable mutant, failed to transphosphorylate CheA[1-149], suggesting that phosphorylation of the P1 domain in cis may alleviate the exclusion effect. In agreement with these findings, a 40-fold excess of CheA[1-149] fragments did not impair the CheA autophosphorylation reaction. CheA[1-149] did acquire phosphoryl groups via reversible phosphotransfer reactions with CheB and CheY molecules. An H48Q mutant of CheA[1-149] could not participate in these reactions, indicating that His-48 is probably the substrate site. The low level of efficiency of these phosphotransfer reactions and the inability of CheA[1-149] to interfere with CheA autophosphorylation most likely account for the failure of liberated P1 domains to jam chemotactic signaling in wild-type cells. However, an excess of CheA[1-149] fragments was able to support chemotactic signaling by P1-deficient cheA mutants, demonstrating that CheA[1-149] fragments have both transphosphorylation and phosphotransfer capability in vivo.     

pH dependence of CheA autophosphorylation in Escherichia coli.

Chemotaxis by cells of Escherichia coli and Salmonella typhimurium depends upon the ability of chemoreceptors called transducers to communicate with switch components of flagellar motors to modulate swimming behavior. This communication requires an excitatory pathway composed of the cytoplasmic signal transduction proteins, CheAL, CheAS, CheW, CheY, and CheZ. Of these, the autokinase CheAL is most central. Modifications or mutations that affect the rate at which CheAL autophosphorylates result in profound chemotactic defects. Here we demonstrate that pH can affect CheAL autokinase activity in vitro. This activity exhibits a bell-shaped dependence upon pH within the range 6.5 to 10.0, consistent with the notion that two proton dissociation events affect CheAL autophosphorylation kinetics: one characterized by a pKa of about 8.1 and another exhibiting a pKa of about 8.9. These in vitro results predict a decrease in the rate of CheAL autophosphorylation in response to a reduction in intracellular pH, a decrease that should cause increased counterclockwise flagellar rotation. We observed such a response in vivo for cells containing a partially reconstituted chemotaxis system. Benzoate (10 mM, pH 7.0), a weak acid that when undissociated readily traverses the cytoplasmic membrane, causes a reduction of cytoplasmic pH from 7.6 to 7.3. In response to this reduction, cells expressing CheAL, CheAS, and CheY, but not transducers, exhibited a small but reproducible increase in the fraction of time that they spun their flagellar motors counterclockwise. The added presence of CheW and the transducers Tar and Trg resulted in a more dramatic response. The significance of our in vitro results, their relationships to regulation of swimming behavior, and the mechanisms by which transducers might affect the pH dependence of CheA autokinase activity are discussed.     

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.     

Intermolecular complementation of the kinase activity of CheA

CheA is a dimeric autophosphorylating protein kinase that plays a critical role in the signal transduction network controlling chemotaxis In Escherichia coli. The autophosphorylation reaction was analysed using mutant proteins defective in kinase and regulatory functions. Proteins in which the site of autophosphorylation was mutated (CheA48HQ) or missing (CheA_s) were found to phosphorylate the kinase-defective mutant, CheA470GK. The kinetics of this reaction support the hypothesis that autophosphorylation is the result of trans-phosphorylation within a dimer. The carboxy-terminal portion of CheA was previously shown to be dispensable for autophosphorylation, but required for regulation in response to environmental signals transmitted through a transducer and CheW. Mixing of CheA48HQ or CheA470GK with a truncated protein lacking this regulatory domain demonstrated that regulated autophosphoryltion requires the presence of both carboxy-terminal portions in a CheA dimer. These results indicate that the dimeric form of CheA plays an integral role in signal transduction in bacterial chemotaxis.     

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.     

Both CheA and CheW are required for reconstitution of chemotactic signaling in Escherichia coli.

If cells of Escherichia coli deleted for genes that specify transducers and all known cytoplasmic chemotaxis proteins are reconstituted with CheA, CheW, and CheY, they spin their flagella alternately clockwise and counterclockwise. If the aspartate receptor also is present, clockwise rotation is suppressed upon addition of aspartate. If either CheA or CheW is absent, the fraction of time that the flagella spin clockwise is reduced and responses to aspartate do not occur.     

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.