Dynamic contributions to the DNA binding entropy of the EcoRI and EcoRV restriction endonucleases

The importance of being flexible: the case of basic region leucine zipper transcriptional regulators

Large volumes of protein sequence and structure data acquired by proteomic studies led to the development of computational bioinformatic techniques that made possible the functional annotation and structural characterization of proteins based on their primary structure. It has become evident from genome-wide analyses that many proteins in eukaryotic cells are either completely disordered or contain long unstructured regions that are crucial for their biological functions. The content of disorder increases with evolution indicating a possibly important role of disorder in the regulation of cellular systems. Transcription factors are no exception and several proteins of this class have recently been characterized as premolten/molten globules. Yet, mammalian cells rely on these proteins to control expression of their 30,000 or so genes. Basic region:leucine zipper (bZIP) DNA-binding proteins constitute a major class of eukaryotic transcriptional regulators. This review discusses how conformational flexibility "built" into the amino acid sequence allows bZIP proteins to interact with a large number of diverse molecular partners and to accomplish their manifold cellular tasks in a strictly regulated and coordinated manner.

Analyzing the forces binding a restriction endonuclease to DNA using a synthetic nanopore

Restriction endonucleases are used prevalently in recombinant DNA technology because they bind so stably to a specific target sequence and, in the presence of cofactors, cleave double-helical DNA specifically at a target sequence at a high rate. Using synthetic nanopores along with molecular dynamics (MD), we have analyzed with atomic resolution how a prototypical restriction endonuclease, EcoRI, binds to the DNA target sequence--GAATTC--in the absence of a Mg(2+) ion cofactor. We have previously shown that there is a voltage threshold for permeation of DNA bound to restriction enzymes through a nanopore that is associated with a nanonewton force required to rupture the complex. By introducing mutations in the DNA, we now show that this threshold depends on the recognition sequence and scales linearly with the dissociation energy, independent of the pore geometry. To predict the effect of mutation in a base pair on the free energy of dissociation, MD is used to qualitatively rank the stability of bonds in the EcoRI-DNA complex. We find that the second base in the target sequence exhibits the strongest binding to the protein, followed by the third and first bases, with even the flanking sequence affecting the binding, corroborating our experiments.

Collective dynamics of EcoRI-DNA complex by elastic network model and molecular dynamics simulations

Anisotropic network model (ANM) is used to analyze the collective motions of restriction enzyme EcoRI in free form and in complex with DNA. For comparison, three independent molecular dynamics (MD) simulations, each of 1.5 ns duration, are also performed for the EcoRI-DNA complex in explicit water. Although high mobility (equilibrium fluctuations) of inner and outer loops that surround the DNA is consistent in both methods and experiments, MD runs sample different conformational subspaces from which reliable collective dynamics cannot be extracted. However, ANM employed on different conformations from MD simulations indicates very similar collective motions. The stems of the inner loops are quite immobile even in the free enzyme and form a large, almost fixed, pocket for DNA binding. As a result, the residues that make specific and non-specific interactions with the DNA exhibit very low fluctuations in the free enzyme. The vibrational entropy difference between the EcoRI complex and free protein + unkinked DNA is positive (favorable), which may partially counteract the unfavorable enthalpy difference of DNA kink formation. Dynamic domains in EcoRI complex and cross-correlations between residue fluctuations indicate possible means of communication between the distal active sites.

Loop conformation and dynamics of the Escherichia coli HPPK apo-enzyme and its binary complex with MgATP

Comparison of the crystallographic and NMR structures of 6-hydroxymethyl-7,8-dihydropterin pyrophosphokinase (HPPK) suggests that the enzyme may undergo significant conformational change upon binding to its first substrate, ATP. Two of the three surface loops (loop 2 and loop 3) accounting for most of the conformational differences appear to be confined by crystal contacts, raising questions about the putative large-scale induced-fit conformational change of HPPK and the functional roles of the conserved side-chain residues on the loops. To investigate the loop dynamics in crystal-free environment, we carried out molecular dynamics and locally enhanced sampling simulations of the apo-enzyme and the HPPK.MgATP complex. Our simulations showed that the crystallographic B-factors underestimated the loop dynamics considerably. We found that the open-conformation of loop 3 in the binary complex is accessible to the apo-enzyme and is the favored conformation in solution phase. These results revise our previous view of HPPK-substrate interactions and the associated functional mechanism of conformational change. The lessons learned here offer valuable structural insights into the workings of HPPK and should be useful for structure-based drug design.

Induced fit and the entropy of structural adaptation in the complexation of CAP and lambda-repressor with cognate DNA sequences

Molecular dynamics (MD) simulations of 5 ns on protein-DNA complexes of catabolite-activator protein (CAP), lambda-repressor, and their corresponding uncomplexed protein and DNA, are reported. These cases represent two extremes of DNA bending, with CAP DNA bent severely and the lambda-operator nearly straight when complexed with protein. The calculations were performed using the AMBER suite of programs and the parm94 force field, validated for these studies by good agreement with experimental nuclear magnetic resonance data on DNA. An explicit computational model of structural adaptation and computation of the quasiharmonic entropy of association were obtained from the MD. The results indicate that, with respect to canonical B-form DNA, the extreme bending of the DNA in the complex with CAP is approximately 60% protein-induced and 40% intrinsic to the sequence-dependent structure of the free oligomer. The DNA in the complex is an energetically strained form, and the MD results are consistent with a conformational-capture mechanism. The calculated quasiharmonic entropy change accounts for the entropy difference between the two cases. The calculated entropy was decomposed into contributions from protein adaptation, DNA adaptation, and protein-DNA structural correlations. The origin of the entropy difference between CAP and lambda-repressor complexation arises more from the additional protein adaptation in the case of lambda, than to DNA bending and entropy contribution from DNA bending. The entropy arising from protein DNA cross-correlations, a contribution not previously discussed, is surprisingly large.

Experimental and theoretical high pressure strategies for investigating protein-nucleic acid assemblies

A method was developed to investigate the stability of protein-nucleic acid complexes using hydrostatic pressure during electrophoretic gel mobility shift analysis. The initial system probed by this technique was the well-characterized cognate BamHI-DNA complex. Band shift analysis at several elevated pressures found the equilibrium dissociation (K(d)) constant to be dependent on pressure, which allowed the volume change of dissociation (deltaV) to be calculated. In order to describe the effects of pressure on the specific BamHI-DNA complex at the molecular level, molecular dynamics simulations at both ambient and elevated pressure was performed. Comparison of the simulation trajectories identified several individual BamHI-DNA contacts that are disrupted due to pressure. The disruption of these contacts can be attributed to an observed pressure-induced increase in hydration at the protein-DNA interface during the elevated pressure simulation.

Free-energy component analysis of 40 protein-DNA complexes: a consensus view on the thermodynamics of binding at the molecular level

Noncovalent association of proteins to specific target sites on DNA--a process central to gene expression and regulation--has thus far proven to be idiosyncratic and elusive to generalizations on the nature of the driving forces. The spate of structural information on protein--DNA complexes sets the stage for theoretical investigations on the molecular thermodynamics of binding aimed at identifying forces responsible for specific macromolecular recognition. Computation of absolute binding free energies for systems of this complexity transiting from structural information is a stupendous task. Adopting some recent progresses in treating atomic level interactions in proteins and nucleic acids including solvent and salt effects, we have put together an energy component methodology cast in a phenomenological mode and amenable to systematic improvements and developed a computational first atlas of the free energy contributors to binding in approximately 40 protein-DNA complexes representing a variety of structural motifs and functions. Illustrating vividly the compensatory nature of the free energy components contributing to the energetics of recognition for attaining optimal binding, our results highlight unambiguously the roles played by packing, electrostatics including hydrogen bonds, ion and water release (cavitation) in protein-DNA binding. Cavitation and van der Waals contributions without exception favor complexation. The electrostatics is marginally unfavorable in a consensus view. Basic residues on the protein contribute favorably to binding despite the desolvation expense. The electrostatics arising from the acidic and neutral residues proves unfavorable to binding. An enveloping mode of binding to short stretches of DNA makes for a strong unfavorable net electrostatics but a highly favorable van der Waals and cavitation contribution. Thus, noncovalent protein-DNA association is a system-specific fine balancing act of these diverse competing forces. With the advances in computational methods as applied to macromolecular recognition, the challenge now seems to be to correlate the differential (initial vs. final) energetics to substituent effects in drug design and to move from affinity to specificity.

Recognition between flexible protein molecules: induced and assisted folding

This review focuses on a very important but little understood type of molecular recognition--the recognition between highly flexible molecular structures. The formation of a specific complex in this case is a dynamic process that can occur through sequential steps of mutual conformational adaptation. This allows modulation of specificity and affinity of interaction in extremely broad ranges. The interacting partners can interact together to form a complex with entirely new properties and produce conformational signal transduction at substantial distance. We show that this type of recognition is frequent in formation of different protein-protein and protein-nucleic acid complexes. It is also characteristic for self-assembly of protein molecules from their unfolded fragments as well as for interaction of molecular chaperones with their substrates and it can be the origin of 'protein misfolding' diseases. Thermodynamic and kinetic features of this type of dynamic recognition and the principles underlying their modeling and analysis are discussed.

Structural and thermodynamic strategies for site-specific DNA binding proteins

BACKGROUND

Site-specific protein-DNA complexes vary greatly in structural properties and in the thermodynamic strategy for achieving an appropriate binding free energy. A better understanding of the structural and energetic engineering principles might lead to rational methods for modification or design of such proteins.

RESULTS

A novel analysis of ten site-specific protein-DNA complexes reveals a striking correspondence between the degree of imposed DNA distortion and the thermodynamic parameters of each system. For complexes with relatively undistorted DNA, favorable enthalpy change drives unfavorable entropy change, whereas for complexes with highly distorted DNA, unfavorable DeltaH degrees is driven by favorable DeltaS degrees. We show for the first time that protein-DNA associations have isothermal enthalpy-entropy compensation, distinct from temperature-dependent compensation, so DeltaH degrees and DeltaS degrees do not vary independently. All complexes have favorable DeltaH degrees from direct protein-DNA recognition interactions and favorable DeltaS degrees from water release. Systems that strongly distort the DNA nevertheless have net unfavorable DeltaH degrees as the result of molecular strain, primarily associated with the base pair destacking. These systems have little coupled protein folding and the strained interface suffers less immobilization, so DeltaS degrees is net favorable. By contrast, systems with little DNA distortion have net favorable DeltaH degrees, which must be counterbalanced by net unfavorable DeltaS degrees, derived from loss of vibrational entropy (a result of isothermal enthalpy-entropy compensation) and from coupling between DNA binding and protein folding.

CONCLUSIONS

Isothermal enthalpy-entropy compensation implies that a structurally optimal, unstrained fit is achieved only at the cost of entropically unfavorable immobilization, whereas an enthalpically weaker, strained interface entails smaller entropic penalties.

On the truncation of long-range electrostatic interactions in DNA

Long-range interactions are known to play an important role in highly polar biomolecules like DNA. In molecular dynamics simulations of nucleic acids and proteins, an accurate treatment of the long-range interactions are crucial for achieving stable nanosecond trajectories. In this report, we evaluate the structural and dynamic effects on a highly charged oligonucleotide in aqueous solution from different long-range truncation methods. Two group-based truncation methods, one with a switching function and one with a force-switching function were found to fail to give accurate stable trajectories close to the crystal structure. For these group-based truncation methods, large root mean square (rms) deviations from the initial structure were obtained and severe distortions of the oligonucleotide were observed. Another group-based truncation scheme, which used an abrupt truncation at 8. 0 A or at 12.0 A was also investigated. For the short cutoff distance, the conformations deviated far away from the initial structure and were significantly distorted. However, for the longer cutoff, where all necessary electrostatic interactions were included, the trajectory was quite stable. For the particle mesh Ewald (PME) truncation method, a stable DNA simulation with a heavy atom rms deviation of 1.5 A was obtained. The atom-based truncation methods also resulted in stable trajectories, according to the rms deviation from the initial B-DNA structure, of between 1.5 and 1.7 A for the heavy atoms. In these stable simulations, the heavy atom rms deviations were approximately 0.6-1.0 A lower for the bases than for the backbone. An increase of the cutoff radius from 8 to 12 A decreased the rms deviation by approximately 0.2 A for the atom-based truncation method with a force-shifting function, but increased the computational time by a factor of 2. Increasing the cutoff from 12 to 18 A for the atom-based truncation method with a force-shifting function requires 2-3 times more computational time, but did not significantly change the rms deviation. Similar rms deviations from the initial structure were found for the atom-based method with a force-shifting function and for the PME method. The computational cost was longer for the PME method with a cutoff of 12. 0 A for the direct space nonbonded calculations than for the atom-based truncation method with a force-shifting function and a cutoff of 12.0 A. If a nonperiodic boundary, e.g., a spherical boundary, was used, a considerable speedup could be achieved. From the rms fluctuations, the terminal nucleotides and especially the cytidines were found to be more flexible than the nonterminal nucleotides. The B-DNA form of the oligonucleotide was maintained throughout the simulations and is judged to depend on the parameters of the energy function and not on the truncation method used to handle the long-range electrostatic interactions. To perform accurate and stable simulations of highly charged biological macromolecules, we recommend that the atom-based force-shift method or the PME method should be used for the long-range electrostatics interactions.

Protein-DNA recognition complexes: conservation of structure and binding energy in the transition state

This paper considers how enzymes that catalyze reactions at specific DNA sites have been engineered to overcome the problem of competitive inhibition by excess nonspecific binding sites on DNA. The formation of a specific protein-DNA recognition complex is discussed from both structural and thermodynamic perspectives, and contrasted with formation of nonspecific complexes. Evidence (from EcoRI and BamHI endonucleases) is presented that a wide variety of perturbations of the DNA substrate alter binding free energy but do not affect the free energy of activation for the chemical step; that is, many energetic factors contribute equally to the recognition complex and the transition-state complex. This implies that the specific recognition complex bears a close resemblance to the transition-state complex, such that very tight binding to the recognition site on the DNA substrate does not inhibit catalysis, but instead provides energy that is efficiently utilized along the path to the transition state. It is suggested that this view can be usefully extended to "noncatalytic" site-specific DNA-binding proteins like transcriptional activators and general transcription factors.

Nucleic acids: theory and computer simulation, Y2K

Molecular dynamics simulations on DNA and RNA that include solvent are now being performed under realistic environmental conditions of water activity and salt. Improvements to force-fields and treatments of long-range interactions have significantly increased the reliability of simulations. New studies of sequence effects, axis bending, solvation and conformational transitions have appeared.

Helix morphology changes in B-DNA induced by spontaneous B(I)<==>B(II) substrate interconversion

Investigations of spontaneous, i.e. not forced, B-DNA's B(I)<==>B(II) substate transitions are carried out on the d(CGCGAATTCGCG)2 EcoRI dodecamer sequence using Molecular Dynamics Simulations. Analysis of the resulting transition processes with respect to the backbone angles reveals concerted changes not only for backbone angles epsilon, zeta, and beta, but also for the 5'-delta and 5'-chi angles. For alpha and delta inside the interconverting base step, a change is seen in short lived B(II) conformers. With respect to base morphology distinct changes are observed for buckle, propeller twist, shift, roll and twist, as well as x-displacement and tip. The base mainly involved in the changes is identified as the base preceding the interconverting phosphate. Altogether single B(I)<==>B(II) interconversions result only in local distortions represented by the larger spread of most parameters. Comparison of the atomic positional fluctuations derived from the simulation with those obtained from the static X-ray structure results in striking similarities.

Structure, interaction, dynamics and solvent effects on the DNA-EcoRI complex in aqueous solution from molecular dynamics simulation

A 0.7-ns molecular dynamics simulation of the DNA-EcoRI complex in a 7.0-A solvent shell indicated a stable behavior of the system. No significant evaporation or smearing of the solvent's outer boundary occurred. The structure and the intermolecular interactions were found to be well maintained during the simulation. The interaction pattern in the simulation was found to be very similar to that in the crystal structure. Most of the specific interactions between the DNA and the protein were found to be enhanced in the simulation compared to that in the crystal structure as a result of improved interaction geometry. The nonspecific interactions were found to be stronger than the specific ones. The specific interactions between the N7 atoms of Gua(4) or Ade(5) or Ade(6) and the protein were found to be present over almost the entire time of the simulation, whereas hydrogen bonds involving the amino groups of the Ade(5) and Ade(6) with the protein were found to be relatively weaker, with lower probability and shorter lifetime. The time evolution of the root mean square deviations of the DNA and the protein were highly correlated even at the later part of the simulation, showing the tight binding between them. Several long-lived water bridges were found between the DNA backbone atoms and the protein and also between the two protein monomers, which increased the overall stability of the complex. The two protein monomers were found to interact strongly with each other. The energy of the DNA kink deformation was estimated as approximately 31 kcal/mol.

Dynamic structure of subtilisin-eglin c complex studied by normal mode analysis

Normal mode analysis of subtilisin-eglin c complex was performed to investigate the dynamics at the interface between the enzyme and the inhibitor. The internal motions of the complex calculated from the normal modes were divided into three parts: the internal motions changing the shape of each molecule, the external rigid-body motions changing their mutual dispositions, and the coupling between the internal and external motions. From the results of the analysis, the following characteristic features were found in the dynamics at the interface regions: 1) negative correlation between the internal and external motions within each molecule, and 2) positive correlation between the external motions of the two molecules. The former decreases the apparent amplitudes of motions at the interface. The latter minimizes the interference between individual motions of the two molecules. These dynamic characteristics allow the enzyme and the inhibitor to move as freely as possible. This finding suggests that the experimental evidence of the large entropy gain on binding should be attributed not only to strong hydrophobic interactions, but also to the dynamic structure of the complex, which is found to minimize an unavoidable loss of the conformational entropy on binding.