ATP hydrolysis and DNA binding by the Escherichia coli RecF protein.

The Escherichia coli RecF protein possesses a weak ATP hydrolytic activity. ATP hydrolysis leads to RecF dissociation from double-stranded (ds)DNA. The RecF protein is subject to precipitation and an accompanying inactivation in vitro when not bound to DNA. A mutant RecF protein that can bind but cannot hydrolyze ATP (RecF K36R) does not readily dissociate from dsDNA in the presence of ATP. This is in contrast to the limited dsDNA binding observed for wild-type RecF protein in the presence of ATP but is similar to dsDNA binding by wild-type RecF binding in the presence of the nonhydrolyzable ATP analog, adenosine 5'-O-(3-thio)triphosphate (ATPgammaS). In addition, wild-type RecF protein binds tightly to dsDNA in the presence of ATP at low pH where its ATPase activity is blocked. A transfer of RecF protein from labeled to unlabeled dsDNA is observed in the presence of ATP but not ATPgammaS. The transfer is slowed considerably when the RecR protein is also present. In competition experiments, RecF protein appears to bind at random locations on dsDNA and exhibits no special affinity for single strand/double strand junctions when bound to gapped DNA. Possible roles for the ATPase activity of RecF in the regulation of recombinational DNA repair are discussed.     

Two modes of PriA binding to DNA.

The role of PriA, required for the assembly of the phiX174-type primosome on DNA, in cellular DNA replication has been unclear since its discovery. Recent evidence, based on the phenotypes of strains carrying priA null mutations, has led to proposals that the primosome assembly activity of PriA was required to load replication forks at intermediates such as D loops during homologous recombination. McGlynn et al. (McGlynn, P., Al-Deib, A. A., Liu, J., Marians, K. J., and Lloyd, R. G. (1997) J. Mol. Biol. 270, 212-221) demonstrated that PriA could, in fact, bind D loops. We show here that there are two modes of stable binding of PriA to DNA. One mode, in which the enzyme binds 3'-single-stranded extensions from duplex DNAs, presumably reflects the 3' --> 5' DNA helicase activity of PriA. The D loop DNA binding activity of PriA can be accounted for by the second mode, where the enzyme binds bent DNA at three strand junctions.     

Interactions of Escherichia coli replicative helicase PriA protein with single-stranded DNA

Quantitative analyses of the interactions of the Escherichia coli replicative helicase PriA protein with a single-stranded DNA have been performed, using the thermodynamically rigorous fluorescence titration technique. The analysis of the PriA helicase interactions with nonfluorescent, unmodified nucleic acids has been performed, using the macromolecular competition titration (MCT) method. Thermodynamic studies of the PriA helicase binding to ssDNA oligomers, as well as competition studies, show that independently of the type of nucleic acid base, as well as the salt concentration, the type of salt in solution, and nucleotide cofactors, the PriA helicase binds the ssDNA as a monomer. The enzyme binds the ssDNA with significant affinity in the absence of any nucleotide cofactors. Moreover, the presence of AMP-PNP diminishes the intrinsic affinity of the PriA protein for the ssDNA by a factor approximately 4, while ADP has no detectable effect. Analyses of the PriA interactions with different ssDNA oligomers, over a large range of nucleic acid concentrations, indicates that the enzyme has a single, strong ssDNA-binding site. The intrinsic affinities are salt-dependent. The formation of the helicase-ssDNA complexes is accompanied by a net release of 3-4 ions. The experiments have been performed with ssDNA oligomers encompassing the total site size of the helicase-ssDNA complex and with oligomers long enough to encompass only the ssDNA-binding site of the enzyme. The obtained results indicate that salt dependence of the intrinsic affinity results predominantly, if not exclusively, from the interactions of the ssDNA-binding site of the helicase with the nucleic acid. There is an anion effect on the studied interactions, which suggests that released ions originate from both the protein and the nucleic acid. Contrary to the intrinsic affinities, cooperative interactions between bound PriA molecules are accompanied by a net uptake of approximately 3 ions. The PriA protein shows preferential intrinsic affinity for pyrimidine ssDNA oligomers. In our standard conditions (pH 7.0, 10 degrees C, 100 mM NaCl), the intrinsic binding constant for the pyrimidine oligomers is approximately 1 order of magnitude higher than the intrinsic binding constant for the purine oligomers. The significance of these results for the mechanism of action of the PriA helicase is discussed.     

Evidence for ATP binding and double-stranded DNA binding by Escherichia coli RecF protein.

RecF protein is one of the important proteins involved in DNA recombination and repair. RecF protein has been shown to bind single-stranded DNA (ssDNA) in the absence of ATP (T. J. Griffin IV and R. D. Kolodner, J. Bacteriol. 172:6291-6299, 1990; M. V. V. S. Madiraju and A. J. Clark, Nucleic Acids Res. 19:6295-6300, 1991). In the present study, using 8-azido-ATP, a photo-affinity analog of ATP, we show that RecF protein binds ATP and that the binding is specific in the presence of DNA. 8-Azido-ATP photo-cross-linking is stimulated in the presence of DNA (both ssDNA and double-stranded DNA [dsDNA]), suggesting that DNA enhances the affinity of RecF protein for ATP. These data suggest that RecF protein possesses independent ATP- and DNA-binding sites. Further, we find that stable RecF protein-dsDNA complexes are obtained in the presence of ATP or ATP-gamma-S [adenosine-5'-O-(3-thio-triphosphate)]. No other nucleoside triphosphates served as necessary cofactors for dsDNA binding, indicating that RecF is an ATP-dependent dsDNA-binding protein. Since a mutation in a putative phosphate-binding motif of RecF protein results in a recF mutant phenotype (S. J. Sandler, B. Chackerian, J. T. Li, and A. J. Clark, Nucleic Acids Res. 20:839-845, 1992), we suggest on the basis of our data that the interactions of RecF protein with ATP, with dsDNA, or with both are physiologically important for understanding RecF protein function in vivo.     

Sequences of Escherichia coli uvrA gene and protein reveal two potential ATP binding sites

We have determined the nucleotide sequence of the uvrA gene of Escherichia coli. The coding region of the gene is 2820 base pairs which specifies a protein of 940 amino acids and Mr = 103,874. The polypeptide sequence predicted from the DNA sequence was confirmed by analyzing the UvrA protein: the sequence of the first 7 NH2-terminal amino acids as well as the amino acid composition of the pure protein agreed with those predicted from the nucleotide sequence. By comparing the sequence of UvrA protein to the amino acid sequences of other ATPases, we found that two regions in the UvrA protein, separated from one another by about 600 amino acids, have the highly conserved G-X4-GKT(S)-X6-I(V) sequence found at the active sites of many, but not all, ATPases. Our findings suggest that UvrA protein may have two ATP binding sites.     

Requirements for ATP binding and hydrolysis in RecA function in Escherichia coli

RecA is essential for recombination, DNA repair and SOS induction in Escherichia coli . ATP hydrolysis is known to be important for RecA's roles in recombination and DNA repair. In vitro reactions modelling SOS induction minimally require ssDNA and non-hydrolyzable ATP analogues. This predicts that ATP hydrolysis will not be required for SOS induction in vivo . The requirement of ATP binding and hydrolysis for SOS induction in vivo is tested here through the study of recA4159 (K72A) and recA2201 (K72R). RecA4159 is thought to have reduced affinity for ATP. RecA2201 binds, but does not hydrolyse ATP. Neither mutant was able to induce SOS expression after UV irradiation. RecA2201, unlike RecA4159, could form filaments on DNA and storage structures as measured with RecA–GFP. RecA2201 was able to form hybrid filaments and storage structures and was either recessive or dominant to RecA⁺, depending on the ratio of the two proteins. RecA4159 was unable to enter RecA⁺ filaments on DNA or storage structures and was recessive to RecA⁺. It is concluded that ATP hydrolysis is essential for SOS induction. It is proposed that ATP binding is essential for storage structure formation and ability to interact with other RecA proteins in a filament.     

Escherichia coli replicative helicase PriA protein-single-stranded DNA complex. Stoichiometries, free energy of binding, and cooperativities

Analyses of interactions of the Escherichia coli replicative helicase, PriA protein, with a single-stranded (ss) DNA have been performed, using the quantitative fluorescence titration technique. The stoichiometry of the PriA helicase.ssDNA complex has been examined in binding experiments with a series of ssDNA oligomers. The total site-size of the PriA.ssDNA complex, i.e. the maximum number of nucleotide residues occluded by the PriA helicase in the complex, is 20 +/- 3 residues per protein monomer. However, the protein can efficiently form a complex with a minimum of 8 nucleotides. Thus, the enzyme has a strong ssDNA-binding site that engages in direct interactions with a significantly smaller number of nucleotides than the total site-size. The ssDNA-binding site is located in the center of the enzyme molecule, with the protein matrix protruding over a distance of approximately 6 nucleotides on both sides of the binding site. The analysis of the binding of two PriA molecules to long oligomers was performed using statistical thermodynamic models that take into account the overlap of potential binding sites, cooperative interactions, and the protein.ssDNA complexes with different stoichiometries. The intrinsic affinity depends little upon the length of the ssDNA. Moreover, the binding is accompanied by weak cooperative interactions.     

Mechanism of DnaB helicase of Escherichia coli: structural domains involved in ATP hydrolysis, DNA binding, and oligomerization.

We describe the delineation of three distinct structural domains of the DnaB helicase of Escherichia coli: domain alpha, amino acid residues (aa) 1-156; domain beta, aa 157-302; and domain gamma, aa 303-471. Using mutants with deletion in these domains, we have examined their role(s) in hexamer formation, DNA-dependent ATPase, and DNA helicase activities. The mutant DnaBbetagamma protein, in which domain alpha was deleted, formed a hexamer; whereas the mutant DnaBalphabeta, in which domain gamma was deleted, could form only dimers. The dimerization of DnaBalphabeta was Mg(2+) dependent. These data suggest that the oligomerization of DnaB helicase involves at least two distinct protein-protein interaction sites; one of these sites is located primarily within domain beta (site 1), while the other interaction site is located within domain gamma (site 2). The mutant DnaBbeta, a polypeptide of 147 aa, where both domains alpha and gamma were deleted, displayed a completely functional ATPase activity. This domain, thus, constitutes the "central catalytic domain" for ATPase activity. The ATPase activity of DnaBalphabeta was kinetically comparable to that of DnaBbeta, indicating that domain alpha had little or no influence on the ATPase activity. In both cases, the ATPase activities were DNA independent. DnaBbetagamma had a DNA-dependent ATPase activity that was kinetically comparable to the ATPase activity of wild-type DnaB protein (wtDnaB), indicating a specific role for C-terminal domain gamma in enhancement of the ATPase activity of domain beta as well as in DNA binding. Mutant DnaBbetagamma, which lacked domain alpha, was devoid of any helicase activity pointing to a significant role for domain alpha. The major findings of this study are (i) domain beta contained a functional ATPase active site; (ii) domain gamma appeared to be the DNA binding domain and a positive regulator of the ATPase activity of domain beta; (iii) although domain alpha did not have any significant effect on the ATPase, DNA binding activities, or hexamer formation, it definitely plays a pivotal role in transducing the energy of ATP hydrolysis to DNA unwinding by the hexamer; and (iv) all three domains are required for helicase activity.     

Escherichia coli PriA protein is essential for inducible and constitutive stable DNA replication.

Under certain conditions, Escherichia coli cells exhibit either of two altered modes of chromosomal DNA replication. These are inducible stable DNA replication (iSDR), seen in SOS-induced cells, and constitutive stable DNA replication (cSDR), seen in rnhA mutants. Both iSDR and cSDR can continue to occur in the absence of protein synthesis. They are dependent on RecA protein, but do not require DnaA protein or the oriC site. Here we report the requirement for PriA, a protein essential for assembly of the phi X174-type primosome, for both iSDR and cSDR. In priA1(Null)::kan mutant cells, iSDR is not observed after induction by thymine starvation. Replication from one of the origins (oriM1) specific to iSDR is greatly reduced by the priA1::kan mutation. cSDR in rnhA224 mutant cells deficient in RNase HI is also completely abolished by the same priA mutation. In both cases, SDR is restored by introduction of a plasmid carrying a wild-type priA gene. Furthermore, the viability of an rnhA::cat dnaA46 strain is lost at 42 degrees C upon inactivation of the priA gene, indicating the lethal effect of priA inactivation on those cells whose viability depends on cSDR. These results demonstrate that a function of PriA protein is essential for iSDR and cSDR and suggest the involvement of the PriA-dependent phi X174-type primosome in these DnaA/oriC-independent pathways of chromosome replication. Whereas ColE1-type plasmids, known to be independent of DnaA, absolutely require PriA function for replication, DnaA-dependent plasmid replicons such as pSC101, F, R6K, Rts1 and RK2 are able to transform and to be maintained in the priA1::kan strain.(ABSTRACT TRUNCATED AT 250 WORDS)     

The simultaneous binding of two double-stranded DNA molecules by Escherichia coli RecA protein

We have characterized the double-stranded DNA (dsDNA) binding properties of RecA protein, using an assay based on changes in the fluorescence of 4',6-diamidino-2-phenylindole (DAPI)-dsDNA complexes. Here we use fluorescence, nitrocellulose filter-binding, and DNase I-sensitivity assays to demonstrate the binding of two duplex DNA molecules by the RecA protein filament. We previously established that the binding stoichiometry for the RecA protein-dsDNA complex is three base-pairs per RecA protein monomer, in the presence of ATP. In the presence of ATPgammaS, however, the binding stoichiometry depends on the MgCl2 concentration. The stoichiometry is 3 bp per monomer at low MgCl2 concentrations, but changes to 6 bp per monomer at higher MgCl2 concentrations, with the transition occurring at approximately 5 mM MgCl2. Above this MgCl2 concentration, the dsDNA within the RecA nucleoprotein complex becomes uncharacteristically sensitive to DNase I digestion. For these reasons we suggest that, at the elevated MgCl2 conditions, the RecA-dsDNA nucleoprotein filament can bind a second equivalent of dsDNA. These results demonstrate that RecA protein has the capacity to bind two dsDNA molecules, and they suggest that RecA or RecA-like proteins may effect homologous recognition between intact DNA duplexes.     

Roles of PriA protein and double-strand DNA break repair functions in UV-induced restriction alleviation in Escherichia coli

It has been widely considered that DNA modification protects the chromosome of bacteria E. coli K-12 against their own restriction-modification systems. Chromosomal DNA is protected from degradation by methylation of target sequences. However, when unmethylated target sequences are generated in the host chromosome, the endonuclease activity of the EcoKI restriction-modification enzyme is inactivated by the ClpXP protease and DNA is protected. This process is known as restriction alleviation (RA) and it can be induced by UV irradiation (UV-induced RA). It has been proposed that chromosomal unmethylated target sequences, a signal for the cell to protect its own DNA, can be generated by homologous recombination during the repair of damaged DNA. In this study, we wanted to further investigate the genetic requirements for recombination proteins involved in the generation of unmethylated target sequences. For this purpose, we monitored the alleviation of EcoKI restriction by measuring the survival of unmodified lambda in UV-irradiated cells. Our genetic analysis showed that UV-induced RA is dependent on the excision repair protein UvrA, the RecA-loading activity of the RecBCD enzyme, and the primosome assembly activity of the PriA helicase and is partially dependent on RecFOR proteins. On the basis of our results, we propose that unmethylated target sequences are generated at the D-loop by the strand exchange of two hemi-methylated duplex DNAs and subsequent initiation of DNA replication.     

Negative control of DNA replication by hydrolysis of ATP bound to DnaA protein, the initiator of chromosomal DNA replication in Escherichia coli.

DnaA protein, the initiation factor for chromosomal DNA replication in Escherichia coli, is activated by ATP. ATP bound to DnaA protein is slowly hydrolyzed to ADP, but the physiological role of ATP hydrolysis is unclear. We constructed, by site-directed mutagenesis, mutated DnaA protein with lower ATPase activity, and we examined its function in vitro and in vivo. The ATPase activity of purified mutated DnaA protein (Glu204-->Gln) decreased to one-third that of the wild-type DnaA protein. The mutation did not significantly affect the affinity of DnaA protein for ATP or ADP. The mutant dnaA gene showed lethality in wild-type cells but not in cells growing independently of the function of oriC. Induction of the mutated DnaA protein in wild-type cells caused an overinitiation of DNA replication. Our results lead to the thesis that the intrinsic ATPase activity of DnaA protein negatively regulates chromosomal DNA replication in E. coli cells.     

The dnaB protein of Escherichia coli: mechanism of nucleotide binding, hydrolysis, and modulation by dnaC protein

The mechanism of nucleotide binding and hydrolysis by dnaB protein and dnaB X dnaC protein complex has been studied by using fluorescent nucleotide analogues. Binding of trinitrophenyladenosine triphosphate (TNP-ATP) or the corresponding diphosphate (TNP-ADP) results in a blue shift of the emission maximum and a severalfold amplification of the fluorescence emission of the nucleotide analogues. Scatchard analysis of TNP-ATP binding indicates that TNP-ATP binds with a high affinity (Kd = 0.87 microM) and a 8.5-fold enhancement of fluorescence emission of the nucleotide. Only three molecules of TNP-ATP or TNP-ADP bind per hexamer of dnaB protein in contrast to six molecules of ATP or ADP binding to a dnaB hexamer. TNP-ATP and TNP-ADP are both competitive inhibitors of single-stranded (SS) DNA-dependent ATPase activity of dnaB protein. TNP-AMP neither binds to dnaB protein nor inhibits the ATPase activity. Formation of dnaB X dnaC complex by dnaC protein results in diminution of the TNP-ATP fluorescence enhancement and a concomitant decrease in the SS DNA-dependent ATPase activity. Kinetic analysis of the ATPase activity of dnaB X dnaC complex indicates that the decrease in the ATPase activity on complex formation is due to a reduction of the maximal velocity (Vmax). The dnaB protein hydrolyzes both TNP-ATP and dATP, however, with an extremely slow rate in the presence of single-stranded M13 DNA. The 2'-OH group of the nucleotide most likely plays an important role in the hydrolysis reaction but not in the nucleotide binding.     

ATP hydrolysis during SOS induction in Escherichia coli.

Changes in cellular ATP concentration during SOS induction in strains of Escherichia coli with different levels of RecA and LexA proteins were studied. UV irradiation of RecA+ strains induced a twofold increase in the ATP concentration around the first 20 min, followed by a decrease to the values of nonirradiated cells. On the other hand, mutants defective in RecA protein or with either deficient RecA protease activity or cleavage-resistant LexA repressor did not show any decrease, suggesting that ATP consumption is related to LexA repressor hydrolysis. Furthermore, strains presenting a constitutive synthesis of RecA protein showed the same changes in ATP concentration as the wild-type strain. Likewise, the presence in a RecA+ strain of a LexA(Def) protein, which is defective in its capacity for binding specifically to SOS operators, did not disturb the changes in ATP when compared with the LexA+ RecA+ strain. Moreover, after UV irradiation, a LexA(Def) RecA- double mutant showed an important increase in ATP concentration, which remained elevated for at least 120 min after UV treatment.     

Amplification of single-strand DNA binding protein in Escherichia coli.

An E. coli strain containing a recombinant plasmid carrying the E. coli ssbA+ gene has been shown to produce 12 to 15 fold increased amounts of single-strand DNA binding-protein relative to wild-type strains. In addition, a gamma transducing phage carrying the E. coli uvrA+ gene has been shown to also carry the ssbA+ gene and to be capable of producing increased amounts of binding protein.     

Protease Ti from Escherichia coli requires ATP hydrolysis for protein breakdown but not for hydrolysis of small peptides

Protease Ti, a new ATP-dependent protease in Escherichia coli, degrades proteins and ATP in a linked process, but these two hydrolytic functions are catalyzed by distinct components of the enzyme. To clarify the enzyme's specificity and the role of ATP, a variety of fluorogenic peptides were tested as possible substrates for protease Ti or its two components. Protease Ti rapidly hydrolyzed N-succinyl(Suc)-Leu-Tyr-amidomethylcoumarin (AMC) (Km = 1.3 mM) which is not degraded by protease La, the other ATP-dependent protease in E. coli. Protease Ti also hydrolyzed, but slowly, Suc-Ala-Ala-Phe-AMC and Suc-Leu-Leu-Val-Tyr-AMC. However, it showed little or no activity against basic or other hydrophobic peptides, including ones degraded rapidly by protease La. Component P, which contains the serine-active site, by itself rapidly degrades the same peptides as the intact enzyme. Addition of component A, which contains the ATP-hydrolyzing site and is necessary for protein degradation, had little or no effect on peptide hydrolysis. N-Ethylmaleimide, which inactivates the ATPase, did not inhibit peptide hydrolysis. In addition, this peptide did not stimulate the ATPase activity of component A (unlike protein substrates). Thus, although the serine-active site on component P is unable to degrade proteins, it is fully functional against small peptides in the absence of ATP. At high concentrations, Suc-Leu-Tyr-AMC caused a complete inhibition of casein breakdown, and diisopropylfluorophosphate blocked similarly the hydrolysis of both protein and peptide substrates. Thus, both substrates seem to be hydrolyzed at the same active site on component P, and ATP hydrolysis by component A either unmasks or enlarges this proteolytic site such that large proteins can gain access to it.     

Defective proton ATPase of uncA mutants of Escherichia coli. 5'-Adenylyl imidodiphosphate binding and ATP hydrolysis

The Escherichia coli uncA gene codes for the alpha-subunit of the F1 sector of the membrane proton ATPase. In this work purified soluble F1 enzymes from three mutant strains ( uncA401 , uncA447 , and uncA453 ) have been compared to F1 from a normal strain in respect to (a) binding of 5'-adenylyl imidodiphosphate (AMPPNP) to native enzyme in both the presence and absence of Mg, (b) high-affinity binding of MgATP to native enzyme, (c) total reloading of MgAMPPNP to nucleotide-depleted F1 preparations, (d, e) ability to hydrolyze MgATP at both high MgATP concentrations (d) (steady-state conditions) and low MgATP concentrations (e) where substrate hydrolysis occurs under nonsteady-state (" unisite ") conditions, and (f) sensitivity of steady-state ATPase activities to inhibitors of normal F1-ATPase activity. uncA mutant F1 showed normal stoichiometry of MgAMPPNP binding to both native (three sites per F1) and nucleotide-depleted preparations (six sites per F1). Native uncA F1 preparations showed lower-than-normal affinity for MgAMPPNP and MgATP at the first site filled. Binding of AMPPNP in the absence of Mg was similar to normal, except that no increase in affinity for AMPPNP was induced by aurovertin. The uncA F1-ATPases had low but real steady-state rates of ATP hydrolysis, which were inhibited by aurovertin but relatively insensitive to inhibition by AMPPNP, efrapeptin, and sodium azide. Non-steady-state ( unisite ) ATP hydrolysis rates catalyzed at low substrate concentrations by uncA F1-ATPases were similar to normal.(ABSTRACT TRUNCATED AT 250 WORDS)     

gyrB mutations which confer coumarin resistance also affect DNA supercoiling and ATP hydrolysis by Escherichia coli DNA gyrase

Coumarins are inhibitors of the ATP hydrolysis and DNA supercoiling reactions catalysed by DNA gyrase. Their target is the B subunit of gyrase (GyrB), encoded by the gyrB gene. The exact mode and site of action of the drugs is unknown. We have identified four mutations conferring coumarin resistance to Escherichia coli: Arg-136 to Cys, His or Ser and Gly-164 to Val. In vitro, the ATPase and supercoiling activities of the mutant GyrB proteins are reduced relative to the wild-type enzyme and show resistance to the coumarin antibiotics. Significant differences in the susceptibility of mutant GyrB proteins to inhibition by either chlorobiocin and novobiocin or coumermycin have been found, suggesting wider contacts between coumermycin and GyrB. We discuss the significance of Arg-136 and Gly-164 in relation to the notion that coumarin drugs act as competitive inhibitors of the ATPase reaction.     

Force and ATP hydrolysis dependent regulation of RecA nucleoprotein filament by single-stranded DNA binding protein

In Escherichia coli, the filament of RecA formed on single-stranded DNA (ssDNA) is essential for recombinational DNA repair. Although ssDNA-binding protein (SSB) plays a complicated role in RecA reactions in vivo, much of our understanding of the mechanism is based on RecA binding directly to ssDNA. Here we investigate the role of SSB in the regulation of RecA polymerization on ssDNA, based on the differential force responses of a single 576-nucleotide-long ssDNA associated with RecA and SSB. We find that SSB outcompetes higher concentrations of RecA, resulting in inhibition of RecA nucleation. In addition, we find that pre-formed RecA filaments de-polymerize at low force in an ATP hydrolysis- and SSB-dependent manner. At higher forces, re-polymerization takes place, which displaces SSB from ssDNA. These findings provide a physical picture of the competition between RecA and SSB under tension on the scale of the entire nucleoprotein SSB array, which have broad biological implications particularly with regard to competitive molecular binding.