A Theoretical Consideration of the Influence of Selective Binding of Small Ligands on DNA Helix-Coil Transition

Abstract

The influence of small ligands on DNA helix-coil transition is considered theoretically. The ligands are supposed to interact with DNA base pairs reversibly and selectively. The long-range ligand-ligand interactions are taken into account. Simple formulae are derived for calculation of melting curve alteration induced by ligand binding. The proposed theoretical approach requires neither knowledge of nucleotide sequence nor long computation time.     

Nucleoprotein fusion. III. Causes and conditions for development of the multiphase character of the DNA--protein fusion curve

The influence of proteins reversibly and irreversibly bound to DNA on the shape of melting curve has been considered. It is shown that the melting curve becomes biphasic in two cases: (i) cooperative binding of proteins with DNA (II) STRONG DIFFERENCE IN THE BINDING CONSTANTS WITH HELICAL AND COILED REGIONS. Simple formulae permitting to determine which of two causes stipulate for biphasic profile of a given experimental melting curve are obtained. Melting curves of DNA-basic oligopeptides complexes have been investigated. It is shown that the oligopeptides, when their chain length does not exceed 10, are able to migrate along DNA and biphasic shape of the melting curve is stipulated by the cooperative manner of their binding with DNA.     

Theoretical calculations of the helix–coil transition of DNA in the presence of large,cooperatively binding ligands

Theoretical calculations are conducted on the helix–coil transition of DNA, in the presence of large, cooperatively binding ligands modeled after the DNA-binding proteins of current biological interest. The ligands are allowed to bind both to helx and to coil, to cover up any number of bases or base pairs in the complex, and to interact cooperatively with their nearest neighbors. The DNA is treated in the infinite homogeneous Ising model approximation, and all calculations are done by Lifson's method of sequence-generating functions. DNA melting curves are calculated by computer in order to expolore the effects on the transition of ligand size, binding constant, free activity, and ligand–ligand cooperativity. The calculations indicate that (1) at the same intrinsic free energy change per base pair of the complexes, small ligands, for purely entropic reasons, are more effective than are large ligands in shifting the DNA melting temperature; (2) the response of the DNA melting temperature to increased ligand binding constant K and/or free ligand activity L is adequately represented at high values of KL (but not at low KL) by a simple independent site model; (3) if curves are calculated with the total amount of added ligand remaining constant and the free ligand activity allowed to vary throughout the transition, biphasic melting curves can be obtained in the complete absence of ligand–ligand cooperativity. In an Appendix, the denaturation of poly[d(A-T)] in the presence of the drug, netropsin, is used to verify some features of the theory and to illustrate how the theory can be used to obtain numerical estimates of the ligand binding parameters from the experimental melting curves.     

Long-range interactions between ligands bound to a DNA molecule give rise to adsorption with the character of phase transition of the first kind

Influence of long-range interactions between ligands bound to DNA molecule on the character of their adsorption is studied using computer modeling. For this investigation, two calculation procedures are developed. They are based upon the method of the free energy minimum and on the partition function method. The both procedures demonstrate that in the case of a strong enough attraction between all the bound ligands their binding to DNA has the character of phase transition of the first kind. There is a break in the binding curve c(c0) where c - relative concentration of bound ligands, c0 - molar concentration of free ligands. The break occurs because there is an interval of central degrees of binding (approximately 50% of the maximum c value) that are prohibited for individual DNA molecules. Such a transition might be caused by some types of DNA condensation. Attraction between the neighboring ligands only, adjacent or/and separated by double helix regions, does not cause this effect.     

Theoretical treatment of helix–coil transition of complexes DNA with two different ligands having different binding parameters

The melting transition of DNA–ligand complexes, allowing for two binding mechanisms to different DNA conformations is treated theoretically. The obtained results express the behavior of the experimentally measurable quantities, degree of denaturation, and concentrations of bound ligands on the temperature. The range of binding parameters is obtained, where denaturation curves become multiphasic. The possible application to the nanocomposites crystallization is discussed.     

Influence of ligands characteristic of selective binding to a certain type of base pairs on DNA helix-coil transition I. Model. Theory

The DNA helix-coil transition in the presence of ligands interacting selectively with a certain type or types of base pairs has been considered. A calculation method for estimation the influence of lignads on the melting process for which the knowledge of DNA primary structure is not required was proposed. It has been shown that the reverse temperature shift caused by ligands bound to a given type of base pairs at given kind of regions (helix or coli) is in direct proportion to the fist derivative with respect to the degree of helicity from ratio beta ji/n, where beta ji--number of nitrogen bases of i-type at the regions of j-kind; N--total number of DNA base pairs. It was assumed earlier that this shift was in direct proportion to beta ji/Nj, where Nj--number of base pairs in DNA regions of j-kind. The specificity of lignads interaction with given kinds of bases alters the manner of the melting process of the heteropolynucleotide in comparison with homopolynucleotide only in the case when the DNA primary structure has a strong influence on the position of helix and coli regions along the DNA chain. Only when this conditions is fulfilled the inversion of thermostability of AT- and GC-pairs may affect the shape of the melting curve.     

Joint interaction of ethidium bromide and methylene blue with DNA. The effect of ionic strength on binding thermodynamic parameters

Large amount of data of experimental and theoretical studies have shown that ethidium bromide (EtBr) and methylene blue (MB) may bind to nucleic acids via three modes: intercalation between two adjacent base pairs, insertion into the plane between neighboring bases in the same strand (semi-intercalation), and outside binding with negatively charged backbone phosphate groups. The aim of the given research is to examine the behavior of these two ligands at both separate and joint DNA binding. The obtained experimental data show that the effect of simultaneous binding of EtBr and MB on double-stranded DNA has a non-additive effect of separate binding. The analyses of the melting thermodynamic parameters of DNA complexes with two bound ligands suggest competitive mechanism of interaction.     

Short-range interactions and size of ligands bound to DNA strongly influence adsorptive phase transition caused by long-range interactions

Long-range interaction between all the ligands bound to DNA molecule may give rise to adsorption with the character of phase transition of the first kind (D. Y. Lando, V. B. Teif, J. Biomol. Struct & Dynam. 18, 903-911 (2000)). In this case, the binding curve, c(c(o)), is characterized by a sudden change of the relative concentration of bound ligands ((c)) at a critical concentration of free (unbound) ligands, c(o)=c(ocr), from a low c value to a high one where c(o) is molar concentration of free ligands. Such a transition might be caused by some types of DNA condensation or changes in DNA topology. For the study of the conditions necessary for adsorption with the character of phase transition, a calculation procedure based on the method of the free energy minimum is developed. The ligand size and two types of interactions between ligands adsorbed on DNA molecule are taken into consideration: long-range interaction between all the ligands bound to DNA and contact interactions between neighboring ligands. It was found that a) Stronger long-range interaction is required for longer ligands to induce phase transition that is occurred at greater c(ocr) values; b) Pure contact interaction between neighboring ligands can not itself initiate phase transition. However contact cooperativity strongly decreases the threshold value of energy of long-range interaction necessary to give rise to the transition.     

Synthesis and DNA binding ability of cyclam-amino acid conjugates

N-Substituted cyclam–amino acid conjugates have been synthesised both in solution and on the solid phase. The DNA binding affinity of these species has been studied: the nature of the amino acid strongly influences the change in melting temperature suggesting that simple cyclam–peptide conjugates could interact with DNA in a highly selective manner.     

Effect of ligands with selective type of binding on the DNA helix-coil transition

The influence of the extended interacted under adsorption ligands with a selective binding on the DNA helix-coil transition has been theoretically studied. It was found that contact interaction between ligands or/and their extent give rise to a marked non-linearity of the GC-content dependence of the melting temperature. This non-linearity causes a few features of the dependence of the melting range width on ligand concentration [delta T(C0)]. Such as a non-monotony of the delta T (C0) increase in the presence of ligands increasing the difference between the thermostabilities of poly(d(A-T)] and poly[d(G-C)] polymers. The degree of a non-linearity defines the character of changes of the form of the differential melting curves in the presence of ligands.     

Long-Range Interactions between Ligands Bound to a DNA Molecule Give Rise to Adsorption with the Character of Phase Transition of the First Kind

Abstract

Influence of long-range interactions between ligands bound to DNA molecule on the character of their adsorption is studied using computer modeling. For this investigation, two calculation procedures are developed. They are based upon the method of the free energy minimum and on the partition function method. The both procedures demonstrate that in the case of a strong enough attraction between all the bound ligands their binding to DNA has the character of phase transition of the first kind. There is a break in the binding curve c(c₀) where c—relative concentration of bound ligands, c ₀—molar concentration of free ligands. The break occurs because there is an interval of central degrees of binding (～50% of the maximum c value) that are prohibited for individual DNA molecules. Such a transition might be caused by some types of DNA condensation. Attraction between the neighboring ligands only, adjacent or/and separated by double helix regions, does not cause this effect.     

Interactions of chromomycin A3 and mithramycin with the sequence d(TAGCTAGCTA)2

Anti-cancer antibiotics, chromomycin A3 (CHR) and mithramycin (MTR) inhibit DNA directed RNA synthesis in vivo by binding reversibly to template DNA in the minor groove with GC base specificity, in the presence of divalent cations like Mg2+. Under physiological conditions, (drug)2Mg2+ complexes formed by the antibiotics are the potential DNA binding ligands. Structures of CHR and MTR differ in their saccharide residues. Scrutiny of the DNA binding properties reveal significant differences in their sequence selectivity, orientation and stoichiometry of binding. Here, we have analyzed binding and thermodynamic parameters for the interaction of the antibiotics with a model oligonucleotide sequence, d(TAGCTAGCTA)2 to understand the role of sugars. The oligomer contains two potential binding sites (GpC) for the ligands. The study illustrates that the drugs bind differently to the sequence. (MTR)2Mg2+ binds to both sites whereas (CHR)2Mg2+ binds to a single site. UV melting profiles for the decanucleotide saturated with the ligands show that MTR bound oligomer is highly stabilized and melts symmetrically. In contrast, with CHR, loss of symmetry in the oligomer following its association with a single (CHR)2Mg2+ complex molecule leads to a biphasic melting curve. Results have been interpreted in the light of saccharide dependent differences in ligand flexibility between the two antibiotics.     

Electrical detection of the temperature induced melting transition of a DNA hairpin covalently attached to gold interdigitated microelectrodes

The temperature induced melting transition of a self-complementary DNA strand covalently attached at the 5′ end to the surface of a gold interdigitated microelectrode (GIME) was monitored in a novel, label-free, manner. The structural state of the hairpin was assessed by measuring four different electronic properties of the GIME (capacitance, impedance, dissipation factor and phase angle) as a function of temperature from 25°C to 80°C. Consistent changes in all four electronic properties of the GIME were observed over this temperature range, and attributed to the transition of the attached single-stranded DNA (ssDNA) from an intramolecular, folded hairpin structure to a melted ssDNA. The melting curve of the self-complementary single strand was also measured in solution using differential scanning calorimetry (DSC) and UV absorbance spectroscopy. Temperature dependent electronic measurements on the surface and absorbance versus temperature values measured in solution experiments were analyzed assuming a two-state process. The model analysis provided estimates of the thermodynamic transition parameters of the hairpin on the surface. Two-state analyses of optical melting data and DSC measurements provided evaluations of the thermodynamic transition parameters of the hairpin in solution. Comparison of surface and solution measurements provided quantitative evaluation of the effect of the surface on the thermodynamics of the melting transition of the DNA hairpin.     

DNA-surfactant interactions: coupled cooperativity in ligand binding leads to duplex stabilization.

The cooperative nature of interaction of cationic surfactants with short oligonucleotides leading to eventual stabilization of DNA duplexes is demonstrated. At submicellar concentrations and DNA:surfactant charge ratios of 0.2 to 0.8, the association of single chain (CTAB) and double chain (DOTAP) surfactants to oligonucleotides is initiated by electrostatic interaction of cationic ligands with polyanionic DNA that aligns the surfactant molecules on the DNA template. This is followed by binding of new surfactant ligands to the initial complex, driven cooperatively by the hydrophobic forces, leading to in situ formation of surfactant-bound and bare duplexes as separate species. These exhibit independent melting behaviour characterised by double transition in thermal UV profiles, with a higher T(m) for surfactant-DNA complexes. Understanding the cooperative binding of the cationic surfactants to the DNA described here may have implications for rational design of DNA binding drugs and DNA delivery systems.     

Fusion of complexes of DNA and extended ligands]

The theory of melting of DNA complexes with extended ligands (ties) is considered. Influence of ties interacting electorally with certain DNA regions and influence of extender ties, interacting unelectorally on the helix coil transition parameters is compared. It has been shown that both types of ties cause, coincided qualitatively, but differed quantatively, shifts of melting temperature and change of the melting range width of DNA. Comparison of theory with experiment in the case of DNA complexes with ribonuclease is given.     

The effect of long-range interactions between adsorbed ligands on the DNA helix-coil transition

The influence of different types of long-range interaction of ligands adsorbed on DNA on the helix-coil transition was theoretically considered. The contact interaction was shown to differ significantly from the long-rang one. It was shown also that even weak dependence of a long-range potential on a degree of helicity resulted in the strong changes of a DNA melting curve. This result allowed to understand the different experimental data on DNA melting in the presence of different substances which reduced AT-and GC-base pairs thermostability difference.     

Pressure-induced changes in the molecular organization of a lipid-peptide complex. Polymyxin binding to phosphatidic acid membranes

The effect of 100 atm pressure on the organization of the lipid-peptide complex formed between polymyxin and dipalmitoyl phosphatidic acid has been investigated. Phase transition curves were obtained by electron paramagnetic resonance by measuring the partition coefficient of the spin label, 2, 2, 5, $\text{5-}\text{tetramethylpiperidine}\text{-N-}\text{oxyl}$. The three-step phase transition curve previously obtained with fluorescence polarization measurements was confirmed, demonstrating three distinct phosphatidic acid domains in the bilayer. Pressure increases binding of polymyxin to phosphatidic acid bilayers and alters the proportions of the two domains that differ in the mode of binding between phosphatidic acid and polymyxin. The binding curves of polymyxin to phosphatidic acid bilayers were determined and it was shown that application of pressure reduces the cooperativity of the binding curve.     

Distribution functions, describing the binding of extended ligands with DNA molecules. Possible use for cases of DNA condensation

Due to noncooperative binding of ligands to DNA molecules, DNA molecules are in equilibrium with different numbers of adsorbed ligands. This equilibrium for a given concentration of the free ligand in the solution is characterized by the distribution function, which describes the probability of revealing the DNA molecule with a definite number of adsorbed ligands. If polycations act as ligands, DNA molecules with the number of ligands sufficient for neutralizing the charges on phosphates may undergo a phase transition. One example of this transition is the formation of liquid-crystalline dispersions during the binding of DNA to chitosan. We analyzed the binding of chitosan to DNA on the assumption that this binding is due to equilibrium adsorption. At a definite concentration of chitosan in solution, DNA molecules are in equilibrium with different numbers of adsorbed molecules of chitosan. If the number of adsorbed ligands exceeds some critical value, the DNA molecule covered with chitosan becomes capable of interacting with other DNA molecules. As a result of this interaction (attraction), liquid-crystalline dispersions can form. Equations describing the dependence of the concentration of DNA molecules on the concentration of the ligand in solution were derived. It was shown that, at given parameters of the model, it is possible to describe experimental data characterizing the formation of cholesteric liquid-crystalline dispersions. The analysis of the data makes it possible to reconstitute both the size of the binding site occupied by chitosan on the DNA and the energy of interaction of chitosan with DNA.     

Pressure-induced changes in the molecular organization of a lipid-peptide complex: polymyxin binding to phosphatidic acid membranes

The effect of 100 atm pressure on the organization of the lipid-peptide complex formed between polymyxin and dipalmitoyl phosphatidic acid has been investigated. Phase transition curves were obtained by electron paramagnetic resonance by measuring the partition coefficient of the spin label, 2, 2, 5, 5-tetramethylpiperidine-N-oxyl. The three-step phase transition curve previously obtained with fluorescence polarization measurements was confirmed, demonstrating three distinct phosphatidic acid domains in the bilayer. Pressure increases binding of polymyxin to phosphatidic acid bilayers and alters the proportions of the two domains that differ in the mode of binding between phosphatidic acid and polymyxin. The binding curves of polymyxin to phosphatidic acid bilayers wre determined and it was shown that application of pressure reduces the cooperativity of the binding curve.     

Equilibrium melting of plasmid ColE1 DNA: electron-microscopic visualization.

The fine structure of the melting curve for the linear colE1 DNA has been obtained. To find the ColE1 DNA regions corresponding to peaks in the melting curve's fine structure, we fixed the melted DNA regions with glyoxal /12/. Electron-microscopic denaturation maps were obtained for nine temperature points within the melting range. Thereby the whole process of colE1 DNA melting was reconstructed in detail. Spectrophotometric and electron microscopic data were used for mapping the distribution of Gc-pairs over the DNA molecule. The most AT-rich DNA regions (28 and 37% of GC-pairs), 380 and 660 bp long resp., are located on both sides of the site of ColE1 DNA's cleavage by EcoR1 endonuclease. The equilibrium denaturation maps are compared with maps obtained by the method of Inman /20/ for eight points of the kinetic curve of ColE1 DNA unwinding by formaldehyde.