On the electric polarization of DNA

Dielectric dispersion of DNA was studied in the frequency range 100 Hz–100 kHz at four different temperatures (6–30°C). The dielectric increment ε₀–ε_∞ increased with the rise of temperature. The relaxation time, on the other hand, decreased. Both the increase in dielectric increment and the decrease in relaxation time could not be explained on the basis of the counterion polarization theory. Dipole moment was estimated from Kirkwood theory. It was found to decrease systematically with temperature. Even at 0°C there was a dipole moment of 10⁴D.     

Dielectric relaxation of DNA in aqueous solutions.

Using a four-electrode cell and a new electronic system for direct detection of the frequency differences specturm of solution impedance, the complex dielectric constant of calf thymus DNA (M_r = 4 × 10⁶) in aqueous NaCl at 10°C is measured at frequencies ranging from 0.2 Hz to 30 kHz. The DNA concentrations are C_p = 0.01% and 0.05%, and the NaCl concentrations are varied from C_s = 10^?4 M to 10^?3 M. A single relaxation regions is found in this frequency range, the relaxation frequency being 10 Hz at C_p = 0.01% and C_s = 10^?3 M. At C_p = 0.05% it is evidenced that the DNA chains have appreciable intermolecular interactions. The dielectric relaxaton time τ_d at C_p = 0.01% agrees well with the rotational relaxation time estimated from the reduced visocisty on the assumption that the DNA is not representable as a rigid rod but a coiled chain. It is concluded that the dielectric relaxiatioinis ascribed to the rotation of the molecule. Observed values of dielectric increment and other experimental findings are reasonably explained by assuming that the dipole moment of DNA results from the slow counterion fluctuation which has a longer relaxation time than τ_d.     

Dielectric relaxation of DNA solutions. II

Real and imaganiry parts of complex dielectric constant of dilute solutions of DNA in 10^?3M NaCl with molecular weight ranging from 0.4 × 10⁶ to 4 × 10⁶ were measured at frequencies from 0.2 Hz to 30 kHz. Dielectric increments Δε were obtained from Cole-Cole plots and relaxation times τ_D from the loss maximum frequency. The τ_D of all samples agrees well with twice of the maximum viscoelastic relexation time in the Zimm theory, indicating that the low-frequency dielectric relaxiation should be ascribed to be the rotation of DNA. The rms dipole moment, which was obtained from Δε, agree well with that calculated from the counterion fluctuation theory. The dielectric increment was found to be greatly depressed in MgCl₂, which is resonably interpreted in terms of a strong binding of Mg⁺⁺ ions with DNA.     

Molecular-weight dependence of the low-frequency dielectric properties of aqueous solutions of gel-fractionated DNA

Combined three- and four-terminal AC bridge measurements have been made at frequencies from 10 Hz to 100 KHz on samples of DNA with different molecular weight in aqueous solution under varying conditions of DNA concentrations and added salt. A method is described for the separation of large quantities of DNA fractionated according to size. A complicated pattern of dependence of the specific dielectric increment on concentration is found, and the difficulties of comparing the results from sample to sample are discussed. The dielectric properties of the fractionated samples of DNA in aqueous solution are reported for solutions sufficiently dilute that specific dielectric increment is independent of concentration. The specific dielectric increment of the solutions (with concentration measured in moles of DNA molecules/liter) is found to increase as the square of the molecular weight. The results are compared with results of polyelectrolyte theories which deal explicitly with counterion fluctuations and interactions. The frequency dependence of the dispersion is much broader than for simple Debye relaxation. It is satisfactorily fitted by the empirical Cole–Cole circular are function and the breadth of the dispersion is found to be, if anything, less for the fractionated samples than for native DNA in solution.     

Dielectric relaxation of DNA solutions. III. Effects of DNA concentration, protein contamination, and mixed solvents

As a continuation of previous papers [Biopolymers (1976) 15 , 879; (1978) 17 , 1508], the low-frequency dielectric relaxation of DNA solutions was studied with a four-electrode cell and the simultaneous two-frequency measurement. Below a critical concentration, the dielectric relaxation time agrees with the rotational relaxation time estimated from the reduced viscosity and is almost independent of DNA concentration C_p, and the dielectric increment is proportional to C_p. The critical concentration is approximately 0.02% of DNA for molecular weight M_r 2 × 10⁶ and 0.2% for M_r 4.5 × 10⁵ in 1 mM NaCl. Dielectric relaxations are compared for samples before and after deproteinization, and the protein contamination is found to have a minor effect on the dipole moment of DNA. The effect of a mixed solvent of water and ethanol on the dielectric relaxation of DNA is well interpreted in terms of changes in viscosity and the dielectric constant of the solvent, assuming that the relaxation arises from rotation of the molecule with a quasi-permanent dipole due to counterion fluctuation.     

Dielectric relaxation of collagen in aqueous solutions

The complex dielectric constant of collagen in aqueous solutions (polymer concentration, C_p = 0.02–0.2%) was measured at 10°C in the frequency range from 3 Hz to 30 kHz. The loss peak for C_p = 0.02% is located at 90 Hz and the dielectric relaxation time τ_D is estimated to be 1.8 ± 0.3 msec. The τ_D agrees well with the rotational relaxation time estimated from the reduced viscosity, and the relaxation is ascribed to the end-over-end rotation of the molecule. The C_p dependence of τ_D and the dielectric increment Δε are interpreted in terms of the aggregation of molecules. The dipole moment of a molecule, obtained from Δε at C_p = 0.02% and pH 6.5, is (5.2 ± 0.2) × 10⁴D, which is explained by the asymmetrical distribution of the ionized side chains of the molecule.     

Dielectric relaxation of DNA solutions. IV. Effects of salts and dyes

The effects of salts (NaCl, LiCl, Me₄NCl, AgNO₃, MgCl₂, CuCl₂ and MnCl₂) and dyes (acridine orange and methylene blue) on the low-frequency dielectric relaxation (0.1 Hz–30 kHz) of dilute aqueous solutions of DNA were investigated with varying salt or dye concentrations. Both the dielectric relaxation time τ_D and the rotational relaxation time τ estimated from the reduced viscosity decrease in quite parallel ways with increasing M/P (M/P being the normality ratio of cation to phosphate residue), reflecting the contraction of DNA molecule due to electrostatic shielding and cation binding. The agreement between τ_D and τ through the whole range of M/P supports our previous conclusion that the low-frequency relaxation of DNA arises from rotation of the molecule. The dielectric increment Δε also decreases with increasing M/P on account of both the contraction of DNA and the decrease in effective degree of dissociation of DNA. Δε as a function of M/P is interpreted in terms of a quasi-permanent dipole due to counterion fluctuation. These effects of cations are the strongest for divalent cations and rather weak for Na⁺, Li⁺, and Me₄N⁺. Effects of dye on τ_D and Δε are also well explained by the rotation of DNA molecule with a quasi-permanent dipole due to counterion fluctuation on the basis of intercalation of dye at D/P < 0.2 (D/P being the molarity ratio of dye to phosphate residue) and external binding at 0.2 < D/P < 1.0.     

Study of dielectric behavior of DNA in shear gradient

The dielectric behavior of the DNA molecule is investigated in the presence of mechanical force as well as the electrical field. In the present experiment, the direction of the electrical field is perpendicular to that of the mechanical force. The dipole moment of polar molecules manifest itself as dielectric increment at low frequencies or as the conductance increment at high frequencies. These two quantities are closely related to each other by Eq. (1) in the text. Because of the difficulty due to electrode polarization at low frequencies, no useful information was obtained by investigating the dielectric increment in the present system. Therefore, the effect of shear gradient was studied by measuring the conductance increment at high frequencies with various velocity gradients. The conductance increment decreased when the shear was applied perpendicular to the electrical field. The conductance change is converted into the unit of dielectric constant; it was found that the dielectric increment of DNA solution decreases by as much as 85 percent. From these observations, it is concluded that the direction of the dipole moment in DNA is longitudinal rather than transverse. The same experiment was repeated with the random coil DNA and no anisotropy in the dielectric increment was observed.     

Dielectric properties of polyelectrolytes. V. Dielectric dispersion of heavy meromyosin

Dielectric constant and dielectric loss of heavy meromyosin (HMM) were measured with varying pH. HMM showed a broader dispersion pattern than that with a single relaxation time especially on the high-frequencey side. The dielectric increment increased sharply with pH, above p^{H 6}, whereas the mean relaxation time and whole dispersion pattern were unchanged in the same region. The values of the increment and the mean relaxation time were much larger than those of usual globular proteins. The dispersion profile, pH dependence, and values of the increment are well explained by Oosawa's counterion fluctuation theory. Other mechanisms are more or less inadequate to our results. In the low pH region below the isoelectric precipitation region, both the increment and the mean relaxation time decreased; this is probably due to partial denaturation and suppression of the dissociation of carboxyl groups. An experiment on a urea-denatured sample supports this assumption. The biological significance of the pH dependence is discussed.     

The structure of water absorbed in collagen. I. The dielectric properties

The dielectric constant and the loss factor of water in collagen are measured for various water, NaCl, and HCl contents at frequencies ranging from 10² to 10⁵ Hz and at temperatures ranging from ?70° to +23°C. For all measurements, both the dielectric constant and the loss decrease monotonically as the frequency increases, or the temperature decreases; the absence of a maximum in the loss curves as a function of temperature and frequency indicates an extremely broad spectrum of relaxation times. By shifting the curves obtained for the dielectric constant and the loss factor along the log–frequency axis, all data, obtained at different temperatures, can be represented on master curves valid for 23°C. In order to explain these results, water molecules are assumed to be hydrogen bonded to each other in long chains. All water molecules in a chain can, cooperatively, be oriented in two different directions along the channel, resulting in large, reversible, dipole moments. These chains are not rigid, but are flexible liquid-like structures. Diffusion of chains as entities is assumed to be the rate-limiting step for dipole reorientation. Although the rate of diffusion decreases inversely proportional to chain length, the activation energy is independent of chain length. At lower temperatures, diffusion becomes slower, until at the glass point, approximately ?100°C, it ceases.     

Frequency dependence of the proton magnetic relaxation in aqueous solutions iof haemoproteins

The longitudinal proton magnetic relaxation times T₁ were measured for ferri (met)-and carbonmonoxy-bovine haemoglobin and equine myoglobin in 0.1 M KH₂PO₄ aqueous solutions near pH 6 at 5°C and 35°C from 1.5- to 60-MHz Larmor frequencies. It is concluded that the correlation time τ_C for the dipole–dipole interaction of electron and nuclear spins is in fact the electron (ferric) spin relaxation time τ_S being close to 1.5 × 10^?10 sec for both metHb and metMb at 5°C. At 35°C the paramagnetic relaxation rates are not determined solely by the relaxation of protons exchanging from the haem pocket with bulk solvent. Hence, τC at 35°C cannot be calculated from the dispersion data obtained at this temperature. The relevance of this for the determination of interspin distances r is discussed.     

The influence of single-strand breaks on the kinetics of denaturation of DNA

The influence of single-strand breaks on the kinetics of the relaxation of DNA in a solution of low ionic strength has been investigated by a temperature jump method. The relaxation of DNA after a jump of 0.7 °C in the melting region has been monitored by measuring the extinction at 260 nm. For essentially monodisperse T4 DNA (M = 130 × 10⁶) two distinct relaxation times have been observed, that depend markedly on the initial extent of denaturation 1 ? θ. The larger relaxation time decreases from 450 sec to about 300 sec, the smaller one from 55 see to 30 when 1 ? θ increases from 0.03 to about 0.8. The dependence of these relaxation times on the average number of single-strand breaks per molecule (p) appears to be very small up to p = 100. However, the relative contribution of the slow process decreases sharply when p increases from 0.6 to 30 and remains nearly constant for larger p. The observations are discussed in the light recent theories of the kinetics of denaturation.     

Electric field distribution in biological systems

Electric field distribution in biological systems was investigated. In the analysis both the conductive and the dielectric properties of biological systems were considered. Making use of the complex dielectric coefficient, equations which describe the electric field behavior in such media, were formulated. These equations were solved numerically for a few biological systems. The solutions show that the macroscopic field distribution, for example, the refraction of the ECG wave upon passing from one tissue into another, is mainly determined by the tissue's conductive properties (in the frequency range of 0–10⁸ Hz). However, the microscopic field distribution around the individual cells is determined by the conductive, the dielectric or both properties, depending on the frequency. At frequencies below 10⁴ Hz the field configuration is determined largely by the system's conductive properties. At frequencies above 10⁷ – 10⁸ Hz, by the dielectric properties and in the range of 10⁴ – 10⁶ Hz both properties affect the field distribution. In this range the field direction may be shifted by as much as 90° by relatively small frequency changes.     

Dielectric properties of slightly hydrated collagen: time-water content superposition analysis

The frequency dependences of the dielectric constant, ε′, and the loss factor, ε″, in collagen were measured at several water contents from 0.1 to 0.3 g/g collagen over a frequency range of 30 Hz to 100 kHz and at a temperature of 20°C. Remarkable dispersion was observed at the lower frequencies for higher water contents. According to accumulated results on the thermodynamic and structural investigations, the dispersion has some analogy to the surface conduction proposed by B. V. Hamon [(1953) Aust. J. Phys. 6 , 304–315]. An empirical relation bewteen ε″ and frequency, f, ε″ ∝? fⁿ, where 0 < n < 1, suggests that the dielectric and conductive properties of hydrated collagen are related to carrier jumps between neighboring sites. For the polarization mechanism of this dispersion, we supposed a model of the transfer of protons between absorbed water molecules, and found that the time–water content superposition procedure is applicable to slightly hydrated collagen. The results derived from the superposition procedure show that the water content, ?, is related to the conductivity, σ, or the dielectric loss factor by the following equations: σ (?, f) = const. × ?^nm?1f^1?n and ε″ (?, f) = const. ?^nmf^?n, respectively, where m is a constant independent of ? and f. These results agree with that derived by another treatment of the same data. The role of water molecules in the conduction and polarization in slightly hydrated collagen is considered to be not far from that assumed in the model.     

Dielectric studies of electrolytic poly(α-amino acid)s in aqueous solutions

The dependence of the dielectric constant and dielectric loss of aqueous solutions of poly-ε, N-succinyl-L -lysine on its degree of polymerization, degree of neutralization, concentration of the polymer, and counterion type was studied in a frequency range from 300 Hz to 5 MHz. Regardless of the conformation, a low-frequency dispersion in a frequency range lower than 10 kHz and a high-frequency dispersion in a range higher than 100 kHz were found. The large value of the dielectric increment, its nonlinear dependence on concentration, its remarkable dependence on counterion type, and its dependence on the degree of polymerization suggest that the low-frequency dispersion is mainly due to the polarization of loosely bound counterions. These data were found for both the helical and coiled forms. The rotational motion of the electric dipole on the molecule could not have been primarily responsible for these results. On the other hand, the high-frequency dispersions may be attributable to the Maxwell–Wagner-type effect. The results were compared with the dispersions of poly(L -glutamic acid), poly(L -lysine), and their salts reported previously.     

Thermal stability and renaturation of DNA in dimethyl sulfoxide solutions: Acceleration of the renaturation rate

The thermal stability and renaturation kinetics of DNA have been studied as a function of dimethyl sulfoxide (DMSO) concentration. Increasing the concentration of DMSO lowers the melting temperature of DNA but results in an increased second-order renaturation rate. For example, in a DNA solution containing 0.20M NaCl, 0.01M Tris (pH 8.0), and 0.001M EDTA, the addition of 40% DMSO lowers the melting temperature of the DNA by 27°C and approximately doubles the optimal renaturation rate. The effect of DMSO on the renaturation rate is shown to be at least partially due to its effect on the solution dielectric constant and to be consistent with the polyelectrolyte counterion condensation theory of Manning [(1976) Biopolymers 15 , 1333–1343].     

Importance of the sarcoplasmic reticulum and adrenergic stimulation on the cardiac contractility of the neotropical teleost <Emphasis Type="Italic">Synbranchus marmoratus</Emphasis> under different thermal conditions

Experiments were carried out to investigate the heart rate of Synbranchus marmoratus after changing the temperature of the water contained in the experimental chamber of the acclimated fish (from 25 to 35°C and from 25 to 15°C). Then, an isometric cardiac muscle preparation was used to test the relative importance of Ca²⁺ released from the sarcoplasmic reticulum and Ca²⁺ influx across the sarcolemma for the cardiac performance under different thermal conditions: 25°C (acclimation temperature), 15 and 35°C. Adrenaline and ryanodine were used to modulate the Ca²⁺ flux through the sarcolemma and the sarcoplasmic reticulum, respectively. Ryanodine reduced the peak tension by approximately 47% at 25°C, and by 53% at 35°C; however, it had no effect at 15°C. A high adrenaline concentration was able to ameliorate the negative effects of ryanodine. Despite increasing the peak tension, adrenaline increased the times necessary for contraction and relaxation. We conclude that the sarcoplasmic reticulum is active in contributing Ca²⁺ to the development of tension at physiological contraction frequencies. The adrenaline-stimulated Ca²⁺ influx is able to increase the peak tension, even after addition of ryanodine, at physiologically relevant temperatures and pacing frequencies.     

Effect of ions on the dielectric relaxation of DNA

The dielectric relaxation of DNA solutions has been investigated with and without extraneous ions covering a wide frequency range. The effect of monovalent ions such as Na, K, and Li as well as divalent ions such as Mg, Ca, and Hg have been included in the study. These ions are found to have a profound effect on the dielectric increment and the relaxation time without affecting the molecular dimension drastically. This dielectric effect is interpreted as indicating the importance of counterion fluctuation on the low frequency dielectric constant of DNA in solution. The effect of an organic ion, tetra-methylammoniun bromide, has also been studied. This ion has no noticeable effect. A simple theory is derived on the basis of a microscopic model to account for the effect of external ions on the dielectric behavior of solutions of DNA.     

Temperature and auditory thresholds: Bioacoustic studies of the frogsRana r. ridibunda,Hyla a. arborea andHyla a. savignyi (Anura,amphibia)

Summary The auditory thresholds of three frogs-two subspecies of the genusHyla (H. a. arborea, H. a. savignyi) and one of the genusRana (R. r. ridibunda)—were measured at 5°, 12°, 20° and 28°C, by recording multi-unit activity from the torus semicircularis. In the tree frogs, the upper limit of the audible range is 7,000 Hz. At 5°C the best frequency is 3,000 Hz; the threshold (expressed in dB SPL in all cases) at this frequency is 49 dB (males) and 43 dB (females) forH. a. arborea and 42 dB (males) and 48 dB (females) forH. a. savignyi. At 12°C the thresholds are lower, and they are lower still at 20°, reaching a minimum, at 3,000 Hz, of 42 dB (males) and 38 dB (females) forH. a. arborea and 41 dB (males) and 40 dB (females) forH. a. savignyi. At frequencies of 1,000 Hz and lower, thresholds are high at 5°C; in part of this range they are considerably lowered at 20°C, whereas at 28°C there is a reduction in sensitivity to most frequencies inH. a. arborea, amounting to more than 10 dB in the males.H. a. savignyi differs in this regard; at 28° sensitivity is no less than at lower temperatures, and in fact is greater in the range 1,000–1,400 Hz. The audible range ofR. r. ridibunda is more restricted than that of the tree frogs, but it is more sensitive within this range. The highest frequency is 4,500 Hz. At 5°C the thresholds of the males are lowest at 500–600 Hz (42 dB) and 1,400–1,900 Hz (ca. 39 dB). The best frequencies of the females are 700 Hz (38 dB) and 1,400 Hz (36 dB). At 12°C the thresholds at 300 Hz and 1,000 Hz are markedly lowered, by 10–18 dB. The thresholds of the females at 20°C are still lower over almost the entire audible range, whereas in the males only part of the range is affected. This difference persists at 28°C, the threshold curve of the males being slightly raised, while that of the females is unchanged. Latencies are dependent upon temperature and sound pressure. With a rise in temperature from 5° to 20°C the latency falls by ca. 8 ms. An increase in sound pressure from 5 dB to 30 dB SPL shortens the latency by ca. 10 ms. These changes were found in all the frogs studied.     

Dielectric properties of polyelectrolytes. I. A study on tetra-n-butyl ammonium polyacrylate

Dielectric constant and loss of aqueous solutions of tetra-n-butyl ammonium polyacrylate ((Bu)₄NPA) were measured in the frequency range from 300 Hz to 6 MHz as compared with sodium and other salts at various conditions. Our results show that there are two dispersions observed in the low-frequency range (LFD, several ten kHz to MHz), respectively, both of which are roughly expressed as the Cole-Cole dispersion formula with Cole parameters about 0.3. The large values of dielectric increment, its nonlinear concentration dependence, and other features suggest that both dispersions are explained by relaxations of two different ionic processes. For HFD, experimental results were qualitatively similar to those have been reported and compared with theories of the Maxwell-Wagner-type effect. On the other hand, LFD may be attributable to the polarization of loosely bound counterions. A model available for LFD was presented on the basis of counterion fluctuation.