On the stoichiometry of intercellular Na+/K(+)-exchange

Literature data on the atomic and ionic sizes of sodium (Na+) and potassium (K+), and the thermodynamic, and physicochemical characteristics of solutions containing Na+ and K+ have been compared. It was shown that in solutions containing Na+ only the activity of H+ is 1.31 +/- 0.038 times higher than in solutions containing only K+. It was concluded that there is reason to believe that the stoichiometry of Na+/K(+)-exchange is close to 3:4. The different degree of hydratation of Na+ and K+ caused by different density of their charges is considered to be the main reason for the result obtained.     

Dielectric changes in hyaluronate solutions at microwave frequencies as a function of concentration,system pH,and temperature

The dielectric response of human umbilical cord hyaluronic acid in various environments has been studied at microwave frquencies using a resonant microwave cavity as a probe. Both the real and imaginary parts of complex dielectric constant and the loss tangent for hyaluronate solutions are obtained by utilizing equations for perturbation of a resonant cavity. Dielectric changes at room temperature have been observed in aqueous solutions of hyaluronic acid as a function of concentration ranging from 0 to 350 mg/ml. The data indicate the existence of ordered phases in hyaluronate solutions at selective concentrations, that is, exhibiting lyotropic-type transitions. Hyaluronate solutions at 1.5 and 3 mg/ml concentrations have been studied at various pH in the range of 6–8 and at constant ionic strength 0.1. A temperature-dependent transition in hyaluronate solution of 120 mg/ml concentration has been observed at physiological temperature. It is shown that this temperature-dependent behavior can be related to the orientational polarizability term in the Debye theory of polar molecules in liquids.     

Luminescence of stable stacking aggregates of adenine and uracil in water

Luminescence and excitation spectra of the highly luminescent stacking dimers of adenine and uracil in water solutions are studied. By the luminescence excitation spectra method it is shown that the stacking aggregates of adenine and uracil are formed with participation of rare forms of monomer molecules: N7H tautomers of adenine and the uracil molecules in rare forms of hydratation, for example molecules without H-bonds with water. The study of temperature dependence of luminescence intensity of monomers and stacking dimers of uracil has shown that stacking dimers do not dissociate even at 85 degrees C similarly as described earlier for adenine and adenosine. Stable stacking aggregates of nucleic bases are most likely to be the precursors of RNA molecules in chemical evolution. This hypothesis is supported by new data on their stability.     

Dielectric increment in polyion solutions due to the distortion of counterion distribution

A theory of DC dielectric increment, delta, has been constructed based on the Fokker- Planck and Poisson equations on the mechanism of the distortion of spatial counterion distribution around a rodlike polyion under the applied electric field, E, perpendicular to the polyion lod. The DC dielectric constant of polyion solutions can be obtained analytically in the both cases of absence and presence of counterion-flow. The nonlinearity of the Poisson-Boltzmann equation in the absence of E has given the interesting behaviors of delta. The calculation in the absence of counterion-flow has shown the delta-values having the same order of magnitude as the experimental data at the higher frequency range (around 100 kHz), and the importance of this mechanism has been pointed out.     

The dipolar origin of protein relaxation

1. A set of parameters is proposed to check the interpretation of the dielectric behaviour of protein solutions as a rigid-dipole relaxation of prolate ellipsoids of revolution in the frequency range between 20 kHz and 10 MHz. Besides the delta(b)-function of Scheraga, another analogous function (delta(a)) is presented to establish size and shape of globular proteins. A study of the influence of solvent viscosity on the dielectric dispersion also gives strong evidence in favour of rigid-dipole relaxation. 2. Measurements of the dielectric dispersion of monomer solutions of bovine serum albumin and transferrin are reported. Monomers of bovine serum albumin were obtained by fractionation on Sephadex G-150. Low-conductivity solutions of both proteins are obtained by passage through an ion-exchange resin. 3. Computer analysis of the experimental dispersion curves by use of a two-term Debye dispersion gives valuable information about transferrin and leads to an axial ratio 4.5 for a prolate ellipsoid of revolution. The dielectric increment of bovine serum albumin is very low and no conclusive results have yet been obtained.     

A mathematical model for the motion of mechanoreceptor hairs in fluid environments.

A differential equation has been derived for the motion of the mechanosensory hairs of animals when they are stimulated by the motion of their fluid environment. Specific solutions of the equation are obtained for three states of fluid flow including steady-state sinusoidal oscillations. The model is specifically applied to crayfish sensilla in an aqueous medium, but the assumptions of the model are also shown to be valid in air for the sensory hairs of insects. The calculations are consistent with available experimental data.     

In vivo analysis of the skin by Fourier-transformed infrared spectroscopy

Advantages of Fourier transform infrared spectroscopy using reflexion techniques are used for skin analyses. Several examples of spectra obtained with a skin analyser are given and the major absorptions in the range 3,500 to 1,150 cm-1 are assigned to fundamental vibrations. Some of them can be used to determine the hydratation level of the skin.     

Dynamics of water in supercooled aqueous solutions of glucose and poly(ethylene glycol)s as studied by dielectric spectroscopy

The dielectric behaviour of aqueous solutions of glucose, poly(ethylene glycol)s (PEGs) 200 and 600, and poly(vinyl pyrrolidone) (PVP) has been examined at different concentrations in the frequency range of 10(6)-10(-3) Hz by dielectric spectroscopy and by using differential scanning calorimetry down to 77 K from room temperature. The shape of the relaxation spectra and the temperature dependence of the relaxation rates have been critically examined along with temperature dependence of dielectric strength. In addition to the so-called primary (alpha-) relaxation process, which is responsible for the glass-transition event at T(g), another relaxation process of comparable magnitude has been found to bifurcate from the main relaxation process on the water-rich side, which continues to the sub-T(g) region, exhibiting relaxation at low frequencies. The sub-T(g) process dominates the dielectric measurements in aqueous solutions of higher PEGs, and the main relaxation process is seen as a weak process. The sub-T(g) process was not observed when water was replaced by methanol in the binary mixtures. These observations suggest that the sub-T(g) process in the aqueous mixtures is due to the reorientational motion of the 'confined' water molecules. The corresponding dielectric strength shows a noticeable change at T(g), indicating a hindered rotation of water molecules in the glassy phase. The nature of this confined water appears to be anomalous compared to most other supercooled confined liquids.     

Solution of a multinephron,multisolute model of the mammalian kidney by Newton and continuation methods

A method of numerically solving the differential equations specifying solute and water flow in a multinephron, multisolute model of the mammalian kidney by a combination of Newton and continuation techniques is described. This method is used to generate a connected component of the steady state solution manifold of the model. A three dimensional section of this manifold is shown to be convoluted, with upper and lower sheets of stable solutions connected by an unstable middle sheet. Two dimensional sections of this surface are followed from a trivial constant profile of concentrations in the nonconcentrating kidney to the profiles of the maximally concentrating kidney. Study of these sections shows that for a given choice of model parameters there may exist no solution, there may be a unique solution, or there may be multiple solutions. A study of the time dependent solutions shows that the dynamic transition from the lower to the upper state and return may be via a hysteresis loop.     

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.     

Capacitance of bilayers in the presence of lipophilic ions

The capacitance of glycerolmonooleate and egg phosphatidylcholine bilayer membranes in the presence of NaCl solutions containing tetraphenylborate, tetraphenylarsonium or dipicrylamine ions has been measured using alternating current techniques over a wide range of frequencies (1–200 kHz). The concentrations of ions corresponded to the lower limits of conductance saturation. Similar determinations were also made with solutions containing no lipophilic ions. The experimental method used in this work requires correction of admittance measurements for the solution resistance in series with the membrane, as well as careful area determinations. In all cases membrane capacitance levels off at sufficiently high frequencies to values which are independent of frequency. The high-frequency capacitance, which is regarded as the ‘geometrical capacitance’ due to dielectric polarization, is practically unaffected by the presence of lipophilic ions. The results support the assumption made in other studies, such as in charge pulse investigations, that the adsorption of lipophilic ions at concentrations up to the saturation range does not have an important effect on the dielectric properties of bilayers.     

Dielectric relaxation in lecithin/cholesterol/water-mixtures

The dielectric spectrum of aqueous solutions of dimyristoyl-l-3-phosphatidylcholine and dipalmitoyl-l-3-phosphatidylcholine with admixed cholesterol has been determined by means of a pulse reflection method which was used to measure the complex permittivity of the solutions as a function of frequency between 100 kHz and 50 MHz. Measurements have been performed at various concentrations of cholesterol in dependence of temperature around the crystal-line/liquid-crystalline phase transition temperature of the solutions.The measured dielectric spectra are treated in terms of a Debye-function. The dielectric relaxation strength and the relaxation time decrease distinctly with increasing cholesterol concentration. In addition, the data are treated on the basis of a theoretical solution model in order to allow for conclusions concerning the lecithin head group motion in the lipid bilayer surface. One important result is that increasing cholesterol concentration affects the interaction of the lecithin head groups and increases their mobility. These effects already occur at small concentrations of cholesterol.     

Analysis of biochemical phase shift oscillators by a harmonic balancing technique

The use of harmonic balancing techniques for theoretically investigating a large class of biochemical phase shift oscillators is outlined and the accuracy of this approximate technique for large dimension nonlinear chemical systems is considered. It is concluded that for the equations under study these techniques can be successfully employed to both find periodic solutions and to indicate those cases which can not oscillate. The technique is a general one and it is possible to state a step by step procedure for its application. It has a substantial advantage in producing results which are immediately valid for arbitrary dimension. As the accuracy of the method increases with dimension, it complements classical small dimension methods. The results obtained by harmonic balancing analysis are compared with those obtained by studying the local stability properties of the singular points of the differential equation. A general theorem is derived which identifies those special cases where the results of first order harmonic balancing are identical to those of local stability analysis, and a necessary condition for this equivalence is derived. As a concrete example, the n-dimensional Goodwin oscillator is considered where p, the Hill coefficient of the feedback metabolite, is equal to three and four. It is shown that for p = 3 or 4 and n less than or equal to 4 the approximation indicates that it is impossible to construct a set of physically permissible reaction constants such that the system possesses a periodic solution. However for n greater than or equal to 5 it is always possible to find a large domain in the reaction constant space giving stable oscillations. A means of constructing such a parameter set is given. The results obtained here are compared with previously derived results for p = 1 and p = 2.     

The dielectric increments of aqueous polyelectrolyte solutions: a scaling approach

This paper deals with dielectric dispersion curves (covering a frequency range from a few Hz to 100 MHz) of Na-poly(styrene-sulfonate) of 65,000 < or = Mw < or = 1,060,000 g mol(-1) in aqueous solutions. The values of the low frequency (dielectric increment1) and high frequency (dielectric increment2) dielectric increments, obtained from the experimental curves matched to a superposition of two Cole-Cole equations, have been analyzed in terms of their concentration and molar mass dependence. The concentrations C (g l(-1)) of the various solutions were mostly situated in the transition regime defined by Odijk [T. Odijk, Macromolecules 12 (1979) 688] between the dilute regime (C < Cg*) and the semi-dilute one (C > C**), and wherein the characteristic concentration C* marks the onset of flexibility effects on the polyion behavior. It has been shown that in the concentration range Cg* < C < C** the increments in both frequency domains satisfy a scaling relation dielectric increment(j) = Bj M(nu j) (C/C*)(mu j) with molar mass independent exponents nu j and mu j changing around C*. Their values are different for dielectric increment1 and dielectric increment2, except for mu above C* where both increments appear to become concentration-independent. Below Cg*, in the dilute regime, the two dispersion domains seem to merge. The increment dielectric increment = relative permittivity (0) - high frequency limit of relative permittivity is molar mass independent if scaled to (C/Cg*). The molar mass dependence of the increments as a function of the macromolecular concentration rhoP, dielectric increment or dielectric increment(j) approximately Mgamma (rhoP)mu, also reveals differences between the different concentration regimes. Extrapolation from above Cg* to zero concentration is thus unjustified.     

Local order in protein solutions

Nonlinearity of the dielectric increment of protein solutions as a function of concentration can be explained by the existence of local order. This local order can be expressed in Saupe order parameters. Using a simple mean field theory, it is shown how these order parameters can be obtained. Two cases from the literature are used to illustrate the method.     

Alcohol-induced conformational changes of ubiquitin

Ubiquitin has been found to be soluble in ethylene glycol and alcohols as the perchlorate or hydrochloride salt. When the effect of alcohol on the structure of ubiquitin is examined, two reversible conformational transitions are observed. Upon lowering the dielectric constant of aqueous alcohol solutions of ubiquitin from 80 to 45, the native structure of ubiquitin is converted to a form consistent with 50% helical structure. This conformational change results in a change in exposure to solvent of the single methionine and the single tyrosine residues of ubiquitin. In agreement with crystallographic results, these residues are buried in the native conformation but become fully exposed to solvent upon undergoing this transition. Further lowering of the dielectric constant to 20 results in the accumulation of a conformation with almost complete helical structure. Thus, hydrophobic interactions cause facile conformational changes in the ubiquitin structure. These results are discussed in terms of a preferential solvation model. It is shown that the results obtained with different alcohols can be normalized by the use of a dielectric constant scale. This normalization corrects for the different molar volumes of different alcohols, allows comparison of results obtained with different alcohols, and should be useful in studying this phenomenon with different proteins.     

Transport properties of polymer solutions. A comparative approach

A variety of transport properties have been measured for solutions of the water soluble polymer poly(ethylene oxide)(PEO) with molecular weights ranging from 200 to 14,000, and volume fractions ranging from 0-80%. The transport properties are thermal conductivity, electrical conductivity at audio frequencies (in solutions containing dilute electrolyte), and water self-diffusion. These data, together with dielectric relaxation data previously reported, are amenable to analysis by the same mixture theory. The ionic conductivity and water self-diffusion coefficient, but not the thermal conductivity, are substantially smaller than predicted by the Maxwell and Hanai mixture relations, calculated using the known transport properties of pure liquid water. A 25% (by volume) solution of PEO exhibits an average dielectric relaxation frequency of the suspending water of one half that of pure water, with clear evidence of a distribution of relaxation times present. The limits of the cumulative distribution of dielectric relaxation times that are consistent with the data are obtained using a linear programming technique. The application of simple mixture theory, under appropriate limiting conditions, yields hydration values for the more dilute polymer solutions that are somewhat larger than values obtained from thermodynamic measurements.     

Functional anatomy of the blood vessels of the dental pulp in the white rat

Applying a complex of modern microangiological techniques, the organization of the blood bed in the incisor and molar pulp has been studied in the white rat mandible. Production of the dental tissue components in the zones of dentinogenesis is ensured by an increased density of the capillary and venular bed of the pulp, a tight connection of the capillaries with predentin. The morphometric data obtained make it possible to prognosticate a high intracapillary pressure and the hydratation degree of the interstitial gel in the incisor pulp, which is close to maximal figures. Differences in angio-architectonics of the incisor pulp and the molar pulp depend on the peculiarities of the histostructure and functional state of the pulp, on the geometry of the dental cavity and the radicular canals. The pulp blood bed possesses a complex apparatus that ensures the blood stream regulation (duplication of the nutrition sources, arteriolar and venular area, various types of anastomoses, precapillary sphincters and others).     

The use of a syncytium model of the crystalline lens of the eye as a new tool to study the light flashes phenomenon seen by astronauts

A syncytium model to study some electrical properties of the eye is proposed to study the phenomenon of anomalous light flashes (LF) perceived by astronauts in orbit. The crystalline lens is modelled as an ellipsoidal syncytium with a variable relative dielectric constant. The corresponding mathematical model is a boundary value problem for a system of two coupled elliptic partial differential equations in the two unknown syncytial electrical potentials. A numerical method to compute an approximate solution of this mathematical model is used, and some numerical results are shown. The model can be regarded as a new tool to study the LF phenomenon. In particular, the energy lost in the syncytium by a transversing cosmic charged particle is calculated and the results obtained with the syncytium model are compared with those obtained using the previously available Geant 3.21 simulation program. In addition, the interaction of antimatter–syncytium is studied, and the Creme96 computer program is used to evaluate the cosmic ray fluxes encountered by the International Space Station in its standard mission.     

Parameter identification of the calvin photosynthesis cycle

Summary This article is concerned with the determination of kinetic parameters of the Calvin photosynthesis cycle which is described by seventeen nonlinear ordinary differential equations. It is shown that the task requires dynamic data for several sets of initial conditions. The numerical technique is based upon an algorithm for non-linear optimization and Gear's numerical integration scheme for stiff systems of differential equations. The sensitivity of the parameters to noise in the data is tested with a method adapted from Rosenbrook and Storey. A preliminary set of parameters has been obtained from a preliminary set of experimental data. The numerical methods are then tested with synthetic data derived from these parameters. The mathematical model and the results obtained in the simulation are used as an aid in designing new experiments.