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  • 1
    Electronic Resource
    Electronic Resource
    New York, NY [u.a.] : Wiley-Blackwell
    Journal of Applied Polymer Science 9 (1965), S. 1067-1072 
    ISSN: 0021-8995
    Keywords: Chemistry ; Polymer and Materials Science
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology , Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics , Physics
    Notes: Kinetic equations for the decomposition of S-hydroxymethyl cellulose xanthate in the presence of acid and formaldehyde are derived. The assumed mechanism involves an equilibrium between the S-hydroxymethyl cellulose xanthate and cellulose xanthic acid and xanthate ion. Decomposition appears to proceed via interaction between the cellulose xanthate ion and hydrogen ion which form an activated complex that subsequently decomposes to cellulose and carbon disulfide. The equations derived show the proper dependence on acid and formaldehyde concentrations. An estimate of the equilibrium constant between cellulose xanthate and S-hydroxymethyl cellulose xanthate is calculated from the rate constants.
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  • 2
    Electronic Resource
    Electronic Resource
    New York : Wiley-Blackwell
    Biopolymers 27 (1988), S. 1249-1265 
    ISSN: 0006-3525
    Keywords: Chemistry ; Polymer and Materials Science
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology
    Notes: In solutions containing DNA and cations of more than one type, the competitive interactions of these cations with DNA can be modeled as an ion exchange process that can be described quantitatively by means of the theoretical approach reported in this paper. Under conditions of experimental interest the radial distribution function of each type of counterion is calculated from the results of canonical Monte Carlo (MC) simulations using the primitive model for DNA (having a helical charge distribution) and for the electrolyte ions. These ions consist of monovalent coions, monovalent counterions intended to represent Na+, and counterions of a second type designated Mz+, having variable size and charge (z ≥ 1). The competitive association of these counterions with DNA is described in terms of D, a parameter analogous to an ion exchange equilibrium quotient. Values of D are calculated from the results of our MC simulations and compared with corresponding predictions of the Poisson-Boltzmann (PB) cell model and with results inferred from analyses of previously published nmr measurements. Over typical experimental concentration ranges (0.02M 〈 [Na+] 〈 0.20M, 0.001 〈 [Mz+] 〈 0.160M), DMC and DPB both are predicted to be relatively independent of the bulk ion concentrations. For various specifications of the size and charge of the competing cation (Mz+), DMC and DPB exhibit similar trends, although the MC simulations consistently predict that the cations bearing a higher charge density than that of Na+ are somewhat stronger competitors than indicated by the PB calculations. For monovalent and divalent competitors of varying radii, theoretical predictions of D are compared with values obtained by fitting nmr measurements. If the hard-sphere radii specified in the simulations are the (hydrated) ionic radii determined from conductance measurements, then the MC predictions and the corresponding nmr results are in reasonable agreement for various monovalent competitors and for a divalent polyamine, but not for Ca2+ and Mg2+.
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  • 3
    Electronic Resource
    Electronic Resource
    New York : Wiley-Blackwell
    Biopolymers 25 (1986), S. 205-214 
    ISSN: 0006-3525
    Keywords: Chemistry ; Polymer and Materials Science
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology
    Notes: Changes in Δν½, the nmr linewidth of 23Na, have been determined during titrations of helical DNA with polyamines (divalent putrescine and trivalent spermidine) and with inorganic cations (Mg2+ and Co(NH3)63+). In each case additions of a multivalent cation (Mz+) to a solution containing NaDNA and NaCl cause decreases in Δν½, which is a population-weighted average of contributions from nuclei in bound and free environments. Thus, the binding of Mz+ to DNA displaces sodium ions from regions where the quadrupolar relaxation of 23Na is relatively efficient. At a given extent of titration, the binding of a polyamine produces a smaller decrease in Δν½ than does the binding of an inorganic ion of the same valence. The concentration dependence of Δν½ during the course of a titration can be interpreted most simply as a two-state ion-exchange reaction by assuming that the binding of Mz does not alter RB, the average relaxation rate of sodium nuclei that remain bound. On the basis of this assumption, the initial linear portions of titration curves can be analyzed to determine upper bounds for r°, the number of sodium ions bound per DNA phosphate in the absence of any competing counterion. Analyzing the titration curves for the four multivalent competitors leads to a range of upper-bound estimates for r°: 0.5-0.8. The differences in these estimates could indicate that polyamines displace fewer sodium ions from DNA than do their smaller inorganic counterparts. Alternatively, the range in upper-bound estimates for r° could also reflect specific differences in the effects of the various multivalent cations on RB, if this relaxation rate does change during titration.
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  • 4
    ISSN: 0006-3525
    Keywords: Chemistry ; Polymer and Materials Science
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology
    Notes: We have applied the formalism developed previously for the kinetics of domain-localized reaction [S. Mazur and M. T. Record, Jr. (1986) Biopolymers 25, 985-1008] to describe complex mechanisms of association of a protein with a specific site on a large DNA molecule also containing many nonspecific binding sites. These nonspecific sites participate in the mechanism of formation of the specific complex through competitive binding and the facilitating mechanisms of sliding and transfer. The effects of localizing the sites in a domain are represented by a simple algebraic expression, and the sequence of interactions within the domain are described by equations closely related to a conventional, homogeneous solution mechanism. We apply this formalism to examine the interplay between sliding and direct transfer in domain-localized interactions in general and in the lac repressor-lac operator interaction in particular. Experimental investigation of the effect of the molecular location of the specific site (e.g., end vs middle of the polymer chain) on the kinetics of association may allow the contributions of sliding and direct transfer to be resolved.
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  • 5
    ISSN: 0006-3525
    Keywords: Chemistry ; Polymer and Materials Science
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology
    Notes: Effects of salt concentration on the stabilities of oligonucleotide helices are analyzed directly in terms of ΔΓN→yN ≡ ΓyNden - ΓNnat, the difference in the salt-nucleotide phosphate preferential interaction coefficients for the denatured state, having yN phosphate charges, and for the native state, having N phosphate charges (y = 1 for hairpin denaturation and y = 0.5 for dimer denaturation). Previous experimental studies of the denaturation of hairpin oligo-nucleotides (having 18 〈 N 〈 44) indicate significant differences between ΔΓN→N and ΔΓ∞, the value determined for the denaturation of the corresponding polynucleotide. These differences are thermodynamic manifestations of the oligoelectrolyte end effect. In contrast, the available data on the denaturation of oligonucleotide dimer helices (N ≤ 22) imply that differences between ΔΓ∞ and ΔΓN→0.5N, and hence oligoelectrolyte end effects, are small or negligible. To determine the origin of these apparently conflicting implications concerning the importance of oligoelectrolyte end effects, we have calculated the N dependence of ΓN from grand canonical Monte Carlo simulations for an idealized model of the structure and charge distribution of each oligomer conformation. Our calculations are in quantitative agreement with the experimental finding for d(TA) hairpin oligomers that - ΔΓN→N decreases linearly as N-1 increases, and with the extant experimental determinations of ΔΓN→0.5N. These results provide an illustration of how the large electrostatic end effects exhibited by the hairpin denaturation data are masked when ΔΓ∞ is compared with values of ΔΓN→0.5N for short dimer helices (N ≤ 22). For 0.5N 〉 24, - ΔΓN→0.5N is predicted to be a linear function of N-1 whose slope has the opposite sign from, and is more salt-concentration dependent than, the corresponding slope of - ΔΓN→N as a function of N-1. Our calculations also yield predictions about the N dependences of the individual values of ΓN that can be tested by determining Donnan coefficients from membrane dialysis equilibrium experiments. For long enough hairpin and dimer oligonucleotides (yN ≥ 24), in either native or denatured forms, we predict that the (positive) difference Γ∞ - ΓN increases linearly with increasing N-1. For smaller values of N the difference Γ∞ - ΓN continues to increase with increasing N-1.
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  • 6
    ISSN: 0006-3525
    Keywords: Chemistry ; Polymer and Materials Science
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology
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  • 7
    ISSN: 0006-3525
    Keywords: Chemistry ; Polymer and Materials Science
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology
    Notes: Domain effects on the pseudo-first-order kinetics of the reversible and irreversible association of proteins or other ligands with nucleic acids containing multiple binding sites are treated using the classical reaction-diffusion equation applied to a spherical cell model of the nucleic acid solution and a diffuse-sphere model for the nucleic acid chain molecule. Both uniform and Gaussian distributions of chain segments are analyzed. In general, the details of the segment distribution do not have a major effect on the kinetics of association. Domain effects are best examined experimentally by determining the effect of the molecular weight of the nucleic acid on the kinetics of the association reaction. A theoretical framework is presented that permits such data to be analyzed simply. Kinetic studies over a wide range of nucleic acid molecular weights are required in order to separate the contributions of diffusion and reaction to the observed kinetics, and to determine the contributions of site-based and molecule-based elements to the rate constants.
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  • 8
    Electronic Resource
    Electronic Resource
    New York : Wiley-Blackwell
    Biopolymers 5 (1967), S. 975-992 
    ISSN: 0006-3525
    Keywords: Chemistry ; Polymer and Materials Science
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology
    Notes: An approximate analytical expression for the electrostatic free energy of a polynucleo-tide in any of its possible ordered or random conformations is derived by integration of the screened-Coulomb potential energy function over all charge pairs in the structure. The electrostatic free energy of any form is found to be a linear function of the logarithm of the monovalent counterion concentration, in the range of low salt concentrations. Hence the electrostatic free energy difference between ordered and disordered forms in a polynucleotide structural transition is a linear function of the logarithm of the monovalent counterion concentration. A free energy balance applied to a two-state model for the transition then yields a linear dependence of the transition temperature Tm upon the logarithm of the counterion concentration. Calculation of the quantity dTm/d log M, where M is the monovalent counterion concentration, shows it to be a characteristic constant for a given transition, with a magnitude and sign proportional to the charge density difference between the ordered and disordered forms. Use of any one of several alternate, simple assumptions yields predicted dTm/d log M values in good agreement with experimental data for various polynucleotide transitions.
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  • 9
    Electronic Resource
    Electronic Resource
    New York : Wiley-Blackwell
    Biopolymers 5 (1967), S. 993-1008 
    ISSN: 0006-3525
    Keywords: Chemistry ; Polymer and Materials Science
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology
    Notes: The theory developed in the previous paper to discuss changes in electrostatic free energies in polynucleotide order-disorder transitions is extended to cases where one or more of the participating species is titrated to some degree α. It is shown that, for any class of transition, the melting temperature Tm at constant pH is a linear function of the logarithm of the monovalent counterion concentration M, that at high salt the logarithm of the depression of the melting temperature by pH titration is proportional to the pH change, and that the stability of the ordered form as measured by its melting temperature at neutral pH, is a monotonic function of the quantity pHm - pK, where pHm and pK are the pH of melting and the monomer base pK, both measured under similar conditions of temperature and ionic strength. For the transition from double helix to coil, the dependences of Tm and dTm/d log M on pH are determined experimentally and compared with the qualitative predictions of the theory. It is found that dTm/dlog M, a measure of - ΔF̄el (the negative of the electrostatic free energy change in the transition), decreases with increasing pH. In acid solution, where the coil is more extensively prolonated than the helix, the change in electrostatic free energy in the transition is larger than at neutral pH. Conversely, in alkali the electrostatic five energy change is smaller than at neutral pH. Hence (dTm/d log M)acid 〉 (dTm/d log M neutral) 〉 (dTm/d log M)alkali. At Suffeciently high pH, dTm/d log M is observed to become negative, indicating that the electrostatic free energy change is positive in the transition of this region. Date from the literature on the ionic strength dependence of the melting temperature for the acid helices of poly rA, poly rC, and poly dC are also considered from the standpoint of the theory.
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  • 10
    Electronic Resource
    Electronic Resource
    New York : Wiley-Blackwell
    Biopolymers 14 (1975), S. 2137-2158 
    ISSN: 0006-3525
    Keywords: Chemistry ; Polymer and Materials Science
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology
    Notes: The effects of monovalent (Na+) and divalent (Mg++) cations on the temperature and breadth of the helix-coil transition of phage DNA have been investigated. The experimental results confirm the findings of Dove and Davidson [J. Mol. Biol. 5, 467-478 (1962)] for the limiting cases of zero divalent ion concentration and saturating levels of divalent ion, and extend their findings to the intermediate region of Mg++ concentrations. A theory for the dependence of transition temperature on the ion concentrations is developed, utilizing the approach of Wyman [Adv. Protein Chem. 19, 223-286 (1964)], modified to account for electrostatic nonideality of the polyelectrolytes. The theory is in agreement with Manning's treatment of the experiments of Dove and Davidson [Biopolymers 11, 937-949, 951-955 (1972)] and is in fair agreement with experimental data over the entire range of ion concentrations. Further investigation of the structure and ion-binding properties of the denatured form will be required before a quantitative comparison between theory and experiment can be performed.
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