Poisson-Boltzmann analysis of the lambda repressor-operator interaction.

A theoretical study of the ion atmosphere contribution to the binding free energy of the lambda repressor-operator complex is presented. The finite-difference form of the Poisson-Boltzmann equation was solved to calculate the electrostatic interaction energy of the amino-terminal domain of the lambda repressor with a 9 or 45 base pair oligonucleotide. Calculations were performed at various distances between repressor and operator as well as at different salt concentrations to determine ion atmosphere contributions to the total electrostatic interaction. Details in the distribution of charges on DNA and protein atoms had a strong influence on the calculated total interaction energies. In contrast, the calculated salt contributions are relatively insensitive to changes in the details of the charge distribution. The results indicate that the ion atmosphere contribution favors association at all protein-DNA distances studied. The theoretical number of ions released upon repressor-operator binding appears to be in reasonable agreement with experimental data.     

Thermodynamic analysis of the lactose repressor-operator DNA interaction

Kinetic and equilibrium constants for lactose repressor-operator DNA interaction have been examined as a function of salt concentration, size and sequence context of the operator DNA, and temperature. Significant salt effects were observed on kinetic and equilibrium parameters for pLA 322-8, an operator-containing derivative of pBR 322, and pIQ, an operator and pseudooperator-containing derivative of pBR 322. The association rate constant and equilibrium constant for the 40 base pair operator fragment were also salt dependent. Data for all the DNAs were consistent with a sliding mechanism for repressor-operator association/dissociation [Berg, O. G., & Blomberg, C. (1978) Biophys. Chem. 8, 271-280]. Calculation of the number of ionic interactions based on salt dependence yielded a value of approximately 8 for repressor binding to pIQ and pLA 322-8 vs. approximately 6 for the repressor-40 base pair fragment. These data and the differences in binding parameters for the plasmids vs. the 40 base pair operator are consistent with the formation of an intramolecular ternary complex in the plasmid DNAs. Unusual biphasic temperature dependence was observed in the equilibrium and dissociation rate constants for pLA 322-8, pIQ, and the 40 base pair fragment. These observations coupled with a discontinuity found in the inducer association rate constant as a function of temperature suggest a structural change in the protein. The large positive entropy contributions associated with repressor binding to all the DNAs examined provide the significant driving force for the reaction and are consistent with involvement of ionic and apolar interactions in complex formation.     

Refined 1.8 A crystal structure of the lambda repressor-operator complex.

The crystal structure of the lambda repressor-operator complex has been refined to an R-factor of 18.9% at 1.8 A resolution. This refinement, using data collected at low temperature, has revealed the structure of the N-terminal arm and shows that the interactions of repressor with the two halves of the pseudo-symmetric operator site are significantly different. The two halves of the complex are most similar near the outer edge of the operator site (in a region where the lambda and 434 repressors make similar contacts), but they become increasingly different toward the center of the operator. There are striking differences near the center of the site where it appears that the arm makes significant contacts to only one half of the DNA site. This suggested a new way of aligning the operator sites in phage lambda. The high resolution structure confirms many of the previously noted features of the complex, but also reveals a number of new protein-DNA contacts. It also gives a better view of the extensive H-bonding networks that couple contacts made by different residues and different regions of the protein, and reveals important new details about the helix-turn-helix (HTH) region, and the positions of many water molecules in the complex.     

Lac repressor-operator interaction: DNA length dependence

The interaction of the E. coli lac operon repressor with its operator DNA has been directly examined as a function of the length of operator-containing DNA. The apparent bimolecular association rate constants were calculated as ka = (kd/KD), where the dissociation equilibrium constant, KD and the dissociation rate constant, kd, were measured by nitrocellulose filter adsorption assays. The values obtained for the overall association rate constants are compared with theoretical association rate curves for specific mechanisms. Association of the repressor with short operator containing DNA fragments (less than 70 base pairs) occurs at rates expected of three-dimensional diffusion. Our data also imply that at longer DNA lengths a combination of three-dimensional diffusion with one-dimensional sliding along with hopping and/or intersegment transfer must be involved to facilitate the repressor operator association.     

Interlocking of plasmid DNAs due to Lac repressor-operator interaction.

The presence of a single lac repressor binding sequence on plasmid DNAs is shown to mediate the formation of interlocked dimers in E. coli. The presence of both homo- and hetero-interlocked dimers suggests that the lac repressor complex can bring together randomly two plasmid DNA molecules to facilitate gyrase-mediated interlocking. The exclusive formation of multiply intertwined dimers also suggest that the lac repressor complex may bind simultaneously to a pair of replicated daughter plasmid molecules prior to their segregation. The formation of interlocked plasmid DNAs can be indicative of interaction between two DNA bound proteins in vivo.     

Kinetics and equilibrium studies of Tet repressor-operator interaction

Binding of a Tet repressor mutant containing a single Trp43 residue in the tet operator recognition -helix leads to the quenching of the protein fluorescence down to about 23% in the case of the tet O₁ operator and to 40% in the case of the tet O₂ operator. We have used fluorescence detection to describe the binding equilibrium and kinetics of the Tet repressor interaction with the 20-bp DNA operators tet O₁ and tet O₂. Stopped-flow measurements in an excess of the tet operators performed in 5 mM NaCl or 150 mM NaCl indicate that the reaction can be described by at least three exponentials characterized by different relaxation times. The mechanism of interaction for both operators as well as for two salt concentrations used can be described as TetR + Operator Complex 1 Complex 2 Complex 3. Only the much faster process can be described as a second-order reaction characterized by a bimolecular rate constant equal to 2.8 × 10⁶ M^–1 sec^–1 for both operators. The medium and slow processes may be described by relaxational times ranging from 50 msec to seconds. The results of the binding equilibrium measurements extrapolated to 1 M NaCl concentration, which reflects the specific nonionic interaction between TetR and tet operators, indicate K _as equal to 3.2 × 10⁴ and 4.0 × 10⁵ M^–1 for tet O₁ and tet O₂, respectively. The number of monovalent ions replaced upon binding can be calculated as about 5 and 3 for tet O₁ and tet O₂, respectively. The binding of Tet repressor to the operators leads to changes in the circular dichroism spectra of the DNA which could indicate transitions of B-DNA into A-like DNA structure.     

Trp repressor-operator binding: NMR and electrophoretic mobility shift studies of the effect of DNA sequence and corepressor binding on two Trp repressor-operator complexes

In Trp repressor-DNA complexes, most interactions either occur with phosphate groups or are water-mediated hydrogen bonds to bases. To examine the factors involved in DNA selectivity, we have studied Trp repressor binding to two operator sequences, trpR(S)() and trpO(M)(), with L-tryptophan or 5-methyltryptophan as corepressor. These operators contain all the consensus bases but differ at base pairs contacted by their phosphate groups. In electrophoretic mobility shift assays (EMSAs) the trpR(S)() sequence gives solely 1:1 protein-DNA complexes with either corepressor. The trpO(M )()sequence binds more weakly than trpR(S)(). It gives dissociating 2:1 complexes in EMSAs with L-tryptophan, but both 1:1 and 2:1 complexes are observed with 5-methyltryptophan or if glycerol is present in the gel. The backbone resonances of the TrpR-L-tryptophan-DNA complexes were assigned using triple-resonance experiments and selectively (15)N labeled protein. On changing the DNA sequence, the largest differences in the NMR spectra are at residues 78-81, at the turn of the helix-turn-helix motif and the tip of the recognition helix. I79 and A80 interact with the conserved bases of the operators, while G78 and T81 interact with phosphate groups at bases that differ between the two sequences. Changing the corepressor from L-tryptophan to 5-methyltryptophan causes effects at residues 52, 60, 61, and 85, which do not interact with the DNA. The spectra suggest that there is mutual induced fit between protein and DNA so that sequence changes at bases contacted only by the phosphate groups affect the environment of the protein at residues that bind to conserved bases elsewhere in the DNA.     

Crystals of the trp repressor-operator complex suitable for X-ray diffraction analysis

Crystals of a simulated trp repressor-operator complex have been grown that are large enough and are sufficiently well ordered and durable to provide a high quality molecular image of this regulatory protein X DNA complex to better than 3-A resolution. The "operator" consists of a 2-fold rotationally symmetric 18-base pair duplex that is extended by a dT residue at both 5'-termini. This system exhibits extensive crystal polymorphism. The crystal form and diffraction properties are very sensitive to the length and terminal structure of the operator fragment, as well as the type and concentration of multivalent ions. When combined with the experience reported by others, our results do not support a consistent strategy for crystallization of protein X DNA complexes.     

Intra-Cluster Percolation of Calcium Signals

Calcium signals are involved in a large variety of physiological processes. Their versatility relies on the diversity of spatio-temporal behaviors that the calcium concentration can display. Calcium entry through inositol 1,4,5-trisphosphate (IP) receptors (IPR''s) is a key component that participates in both local signals such as “puffs” and in global waves. IPR''s are usually organized in clusters on the membrane of the endoplasmic reticulum and their spatial distribution has important effects on the resulting signal. Recent high resolution observations [1] of Ca puffs offer a window to study intra-cluster organization. The experiments give the distribution of the number of IPR''s that open during each puff without much processing. Here we present a simple model with which we interpret the experimental distribution in terms of two stochastic processes: IP binding and unbinding and Ca-mediated inter-channel coupling. Depending on the parameters of the system, the distribution may be dominated by one or the other process. The transition between both extreme cases is similar to a percolation process. We show how, from an analysis of the experimental distribution, information can be obtained on the relative weight of the two processes. The largest distance over which Ca-mediated coupling acts and the density of IP-bound IPR''s of the cluster can also be estimated. The approach allows us to infer properties of the interactions among the channels of the cluster from statistical information on their emergent collective behavior.     

A simple genetically structured model of trp repressor-operator interactions

A genetically structured mathematical model of the trp operon based on known molecular interactions of aporepressor, corepressor, and inducer is proposed. The model simulates, both qualitatively and quantitatively, the influence of these regulatory species on the extent of repression and expression of cloned gene products. It shows that at low aporepressor concentration, full repression is not possible even with high tryptophan levels, resulting in leaky expression. Calculations based on the model enabled predictions of optimum levels of aporepressor and tryptophan for effective repression and, concurrently, the beta-indoleacrylic acid concentrations required for induction for both low and high plasmid copy number clones. Using the model we attempted to provide explanations for seemingly anomalous and sometimes contradictory observations by researchers when working with the trp promoter. (c) 1993 John Wiley & Sons, Inc.     

Analysis of trp repressor-operator interaction by filter binding.

A filter binding assay was developed that allows measurement of specific binding of trp repressor to operator DNA. The most important feature of this procedure is the concentration and type of salt present in the binding buffer. Using this assay the dissociation constant of the repressor-operator complex was determined to be 2.6 X 10(-9) M, and 1.34 repressor dimers were found to be bound to each operator-containing DNA molecule. These values agree with those obtained by more complex methods. The dissociation constant of the repressor for the corepressor L-tryptophan in the presence of operator DNA was shown to be 2.5 X 10(-5) M. A synthetic 48 bp operator fragment was used to determine the repressor-operator dissociation constant in the presence of tryptophan or tryptophan analogs which have higher or lower affinities for aporepressor. The rate of dissociation of repressor from operator DNA also was determined. Our findings indicate that dissociation is influenced by the concentration of tryptophan or tryptophan analogs and suggest that release of the corepressor may be the first step in dissociation of the repressor-operator complex.     

丹参渗漉工艺的研究

通过对丹参的乙醇渗漉工艺进行正交试验,以乙醇的浓度对丹参酮ⅡA的提取率及浸膏得率的影响为考察指标研究丹参乙醇冷渗的合理工艺条件。试验表明当乙醇的浓度为90%的时候为最佳条件。