An optimal policy for the metabolism of storage materials in unicellular algae.

The perturbation theory provides an explanation of the trans-membrane electric field effects on the polarizability of the photosynthetic pigments.In the photosynthetic membranes, the photo-induced effect is linear despite the spectroscopic properties of the carotenoids that should produce a quadratic effect. Consequently, the hypothesis previously assumed of a permanent field in the membrane is confirmed.Our calculation shows that the effect includes two terms, but only one is often taken into account in the literature.This one varies as the first derivative of the polarizability and corresponds to the induced shift of the electronic levels. The other one varies as the polarizability itself; this term is often omitted, and it corresponds to the variation of transition probability. Taking into account both these terms, the carotenoid shift can be interpreted without further hypothesis, as the one consisting in assuming that only one part of the carotenes is sensitive to the field.Finally, this approach allows a quantitative interpretation of the light-induced change measurements with polarized measuring light, which demonstrate the participation of the pigments orientation in the electric field effects.     

Polarization of fluorescence of an oriented solution of rodlike particles bearing a fluorescent label

The variation of the polarized components of fluorescence of a rodlike particle bearing a fluorescent label upon partial orientation is calculated for some special geometry of the dye macromolecules complexes. Explicit expressions are given for the case where the energy of the molecule in the field depends only on one angle θ, showing that the result is a function of both 〈sin²θ〉 and 〈sin⁴θ〉. For the case of orientation in an electric field through an anisotropic induced moment, the expressions allow the calculation of this anisotropy of polarizability. The method is applied to the measurement of the polarizability of rodlike fragments of DNA labeled by intercalated molecules of Acridine Orange.     

The F0 complex of the ATP synthase of Escherichia coli contains a proton pathway with large proton polarizability caused by collective proton fluctuation.

The F0 complex of the Escherichia coli ATP synthase embedded into cardiolipin liposomes was studied by FT-IR spectroscopy. For comparison, respective studies were performed with dried F0 liposomes and with F0 liposomes treated with N,N'-dicyclohexyl-carbodiimide (DCCD), which binds to Asp-61 of subunit c. Furthermore, the effect of H2O-->D2O exchange on the infrared spectrum was investigated. With F0 liposomes an infrared continuum is observed beginning at about 3000 cm-1 and extending toward smaller wavenumbers. In the DCCD-treated sample, this continuum is no longer observed. It vanishes also with drying of the liposomes. After H2O-->D2O exchange, this infrared continuum begins at about 2350 cm-1 and is less intense. All of these results demonstrate that a proton pathway in native F0 is present, in which the protons are shifted in a hydrogen-bonded chain with large proton polarizability due to collective proton tunneling. With the D2O-hydrated system, deuteron polarizability due to collective deuteron motion is observed, but the polarizability due to collective deuteron motion is smaller. Such pathways are very efficient, because they conduct protons or deuterons within picoseconds. These pathways lose their polarizability if the F0 complex is blocked by DCCD or if the liposomes are dried. On the basis of our results on the proton polarizability of hydrogen bonds and hydrogen-bonded systems and on the basis of structural data from the literature, the nature of the proton pathway of the F0 complex of E. coli is discussed.     

Influence of ethanol on the high frequency electric polarizability of E. coli

The interface electric polarizability of bacteria (charge dependent (ChD) and Maxwell-Wagner (MW) polarizabilities) gives information about their electric charge, determined by the structure and functional state. It is well known that the polarizability could be changed significantly by adding some substances to the suspension, and can be measured using an electro-optical (EO) method. There are some literature data, according to which the adding of ethanol decreases the electric polarizability of the cells. However the reason for the change in this parameter is not clear, as well as which component (ChD and/or MW) of polarizability has the main contribution. Generally the present work shows that the effect of ethanol is connected to the change of the internal (cytoplasm) MW polarizability and is mainly caused by increasing the cell membrane permeability. This results in an ionic flow through the membrane, which velocity and direction depends on the relative values of the inner (cytoplasm) and the outer medium ionic strength.     

Theoretical calculation of polarizability isotope effects

We propose a scheme to estimate hydrogen isotope effects on molecular polarizabilities. This approach combines the any-particle molecular orbital method, in which both electrons and H/D nuclei are described as quantum waves, with the auxiliary density perturbation theory, to calculate analytically the polarizability tensor. We assess the performance of method by calculating the polarizability isotope effect for 20 molecules. A good correlation between theoretical and experimental data is found. Further analysis of the results reveals that the change in the polarizability of a X-H bond upon deuteration decreases as the electronegativity of X increases. Our investigation also reveals that the molecular polarizability isotope effect presents an additive character. Therefore, it can be computed by counting the number of deuterated bonds in the molecule.     

Electric and hydrodynamic properties of polypeptides in solution. 3. Aggregation of poly(L-glutamic acid) in aqueous methanol solvents studied by electric birefringence

The rise and decay of electric birefringence for poly(L -glutamic acid) (PLGA) in aqueous solvents containing 20 and 10 vol % methanol have been found to be unusual. The decay curves have been analyzed on the assumption that there exist two kinds of particles, namely, one (component I) with a shorter relaxation time exhibiting positive birefringence and the other (component II) with a longer relaxation time exhibiting negative birefringence at low fields. From the field strength dependence of the steadystate birefringence the permanent dipole moment, the anisotropy of electric polarizability, and the saturation value of birefringence have been determined for each component. Furthermore, from the relaxation time the length of component I and the diameter of component II have been computed on the models of cylindrical rod and oblate ellipsoid, respectively. The dipole moment, the anisotropy of electric polarizability, and the relaxation time of component II are much larger than those of component I. Both the anisotropy of electric polarizability and the optical anisotropy factor are positive in sign for component I and negative for component II. It is concluded that component I is the helical PLGA molecule itself and component II is the side-by-side (antiparallel) aggregate composed of many helical PLGA molecules. The optical anisotropy factor of each component has been discussed on the basis of Peterlin-Stuart theory.     

Molecular Dynamics Simulations with Interaction Potentials Including Polarization Development of a Noniterative Method and Application to Water

A general method is suggested for the implementation of polarization in molecular dynamics simulations of small molecules. Induced dipole moments are evaluated on selected polarizability centers and represented by separation of charges. The positive polarization charges reside on the selected atoms. The negative polarization charges are treated as additional particles. The positions of these polarization charges are determined from the electrical fields due to the permanent charges of the system. Thus the induction is treated explicitly, while the higher order contributions, the polarization due to induced dipoles, are taken into account in an average way by modification of potential parameters. The forces can be evaluated for the new charge distribution in the conventional way. As an illustration of this approach initial results are reported for the development of a polarizable water model. The higher order polarization is treated in an average way by slight increase of the permanent charges as compared to the values that would give the gas phase dipole moment. The increase in CPU time is comparable to the addition of one atom per polarizable center.     

Experimental pK(a) values of buried residues: analysis with continuum methods and role of water penetration

Lys-66 and Glu-66, buried in the hydrophobic interior of staphylococcal nuclease by mutagenesis, titrate with pK(a) values of 5.7 and 8.8, respectively (Dwyer et al., Biophys. J. 79:1610-1620; García-Moreno E. et al., Biophys. Chem. 64:211-224). Continuum calculations with static structures reproduced the pK(a) values when the protein interior was treated with a dielectric constant (epsilon(in)) of 10. This high apparent polarizability can be rationalized in the case of Glu-66 in terms of internal water molecules, visible in crystallographic structures, hydrogen bonded to Glu-66. The water molecules are absent in structures with Lys-66; the high polarizability cannot be reconciled with the hydrophobic environment surrounding Lys-66. Equilibrium thermodynamic experiments showed that the Lys-66 mutant remained folded and native-like after ionization of the buried lysine. The high polarizability must therefore reflect water penetration, minor local structural rearrangement, or both. When in pK(a) calculations with continuum methods, the internal water molecules were treated explicitly, and allowed to relax in the field of the buried charged group, the pK(a) values of buried residues were reproduced with epsilon(in) in the range 4-5. The calculations show that internal waters can modulate pK(a) values of buried residues effectively, and they support the hypothesis that the buried Lys-66 is in contact with internal waters even though these are not seen crystallographically. When only the one or two innermost water molecules were treated explicitly, epsilon(in) of 5-7 reproduced the pK(a) values. These values of epsilon(in) > 4 imply that some conformational reorganization occurs concomitant with the ionization of the buried groups.     

A comparison between two polarizability parameters in chemical--biological interactions

The polarizability of a molecule, an important physical property, is currently attracting our attention particularly in the area of QSAR (quantitative structure-activity relationships) for chemical-biological interactions. Our primary focus in the present study has been upon the computational aspects by using NVE (sum of the valence electrons) as a means for estimating polarizability, we have been surprised at its utility. In this report we demonstrate how NVE can be related to the calculated polarizability from a variety of efforts to better understand the subject. A comparison between the use of two polarizability parameters, that is, NVE and CMR (calculated molar refractivity) in the formulation of QSAR for chemical-biological interactions has been also discussed.     

Stereostructural Implication by the Differential Bond Polarizability: ROA Intensity Study of Chiral S 2‐Amino 1‐Propanol

The bond polarizability and differential bond polarizability are introduced to interpret the Raman and Raman optical activity (ROA) intensities, calculated by the ab initio method. Chiral S 2‐amino 1‐propanol is taken as a model molecule. Through these bond polarizabilities, we observe that symmetric and antisymmetric coordinates are, respectively, more significant in Raman and ROA. It is noted that in S 2‐amino 1‐propanol those bonds lying on a common plane share the same differential bond polarizability sign while that of the asymmetric C‐H bond which protrudes out of the plane possesses the opposite sign. We conclude that ROA can offer more stereostructural implications than Raman and that the differential bond polarizability is potentially the appropriate parameter in interpreting the 3D configuration of a molecule. Chirality 26:255–259, 2014. © 2014 Wiley Periodicals, Inc.     

Polarizability of the ionic cloud around a charged membrane sheet

The polarizability of the ionic cloud around a charged membrane sheet parallel to the surface is calculated. The membrane is modeled as an infinitely thin and long strip of width 2d'. The Poisson-Boltzmann equation is solved with an external electric field as a perturbation. The polarizability is given in closed integral form, with numerical results. At higher salt concentration the polarizability varies approximately as kappa(-3), where kappa is the Debye-Hückel constant. The given theoretical result can account for the a.c. electrodichroism of purple membrane suspensions.     

Defining determinant molecular properties for the blockade of the apamin-sensitive SKCa channel in guinea-pig hepatocytes: the influence of polarizability and molecular geometry

QSAR studies of a series of blockers of the SK(Ca) channel in guinea-pig hepatocytes suggests that the polarizability of the blocker is an important factor controlling the binding to the channel. It is suggested that, upon binding, an ion-pair is formed, a process that is promoted by the reorganization of the water molecules. The polarizability is not adequate to describe the potency of the most potent blockers with a good stereochemical fit to the channel, presumably due to more specific interactions taking place.     

Effect of ionic polarizability on electrodiffusion in lipid bilayer membranes.

Ion-carrier complexes and organic ions of similar size and shape have mobilities in lipid bilayer membranes which span several orders of magnitude. In this communication, an examination is made of the hypothesis that the basis for this unusually wide range of ionic mobilities is the potential energy barrier arising from image forces which selectively act on ions according to their polarizability. Using Poisson's equation to evaluate the electrostatic interaction between an ion and its surroundings, the potential energy barrier to ion transport due to image effects is computed, with the result that the potential energy barrier height depends strongly on ionic polarizability. Theoretical membrane potential energy profile calculations are used in conjunction with Nernst-Planck electrodiffusion equation to analyze the available mobility data for several ion-carrier complexes and lipid-soluble ions in lipid bilayer membranes. The variation among the mobilities of different ions is shown to be in agreement with theoretical predictions based on ionic polarizability and size. Furthermore, the important influence exerted by image forces on ion transport in lipid bilayer membranes compared to the frictional effect of membrane viscosity is established by contrasting available data on the activation energy of ionic conductivity with that for membrane fluidity.     

Intramolecular orbital alignments in serine protease/protein inhibitor complexes

By an analysis of PDB crystal structures, the mean conformations of protein strands bound in serine protease active sites are shown to contain extensively aligned atomic orbitals. The active-serine-bearing segment of each enzyme (subtilisin BPN' and beta-trypsin) also contains such alignments. The participating orbitals are almost identical in each system. All of the alignments converge on the targeted linkage. They suggest that a kind of through-strand polarizability is being optimized by evolution, presumably due to corresponding benefits in proteolysis rate. Such polarizability would help to explain the high values of kcat seen for long oligopeptide substrates. The idea predicts long substrates to be relatively reactive even under non-enzymatic conditions, which in fact they are.     

An Occam’s razor approach to chemical hardness: <Emphasis Type="Italic">lex parsimoniae</Emphasis>

The term “chemical hardness” refers to the resistance to deformation of the electronic density of a system; the greater this resistance, the “harder” the system. Polarizability, a physical property, is an inverse measure of resistance to deformation and thus should be inversely related to hardness. This is indeed generally accepted. Hardness has been postulated to be the second derivative of a system’s energy with respect to its number of electrons, despite the fact that this involves the differentiation of a noncontinuous function. This second derivative is typically approximated as the difference between the ionization energy I and the electron affinity A of the ground-state system, which results in ambiguity in that many molecules do not form stable negative ions. For atoms, the quantity I ? A does vary approximately inversely with polarizability, but this is only because the electron affinity is usually relatively low and ionization energy is known to be inversely related to polarizability for atoms. However, molecular polarizability depends primarily upon volume, and so does not show an acceptable inverse correlation with I ? A. Since both hardness and polarizability refer to the same property of a system—its resistance to deformation of the electronic density, we propose that the reciprocal of polarizability be taken to be a measure of hardness. We show that polarizabilities that are not known can be estimated quite accurately in terms of the average local ionization energies on the atomic or molecular surfaces and, for molecules, their volumes.     

An efficient visualization tool for the analysis of protein mutation matrices

Background  

It is useful to develop a tool that would effectively describe protein mutation matrices specifically geared towards the identification of mutations that produce either wanted or unwanted effects, such as an increase or decrease in affinity, or a predisposition towards misfolding. Here, we describe a tool where such mutations are efficiently identified, categorized and visualized. To categorize the mutations, amino acids in a mutation matrix are arrang according to one of three sets of physicochemical characteristics, namely hydrophilicity, size and polarizability, and charge and polarity. The magnitude and frequences of mutations for an alignment are subsequently described using color information and scaling factors.     

Electrooptical monitoring of cell polarizability and cell size in aerobic <Emphasis Type="Italic">Escherichia coli</Emphasis> batch cultivations

The time-dependent development of cell polarizability and length in Escherichia coli batch fermentations were observed at-line with electrooptical measurements. While using a measurement system with fully automated sample preparation, the development of these properties can be observed with a comparable high frequency (six measurements per hour). The polarizability as well as the mean cell length both increase soon after inoculation and then decline from the growth phase on until the stationary phase is reached. Based on the dynamic behavior of polarizability, the growth phase can be divided into four distinct stages. Changes in the cultivation temperature or the pre-cultivation conditions lead to alterations in the development of the polarizability and mean cell length. Based on the frequency disperse of polarizability measured at four different frequencies from 210 to 2,100 kHz, a prediction model is established that is based on the relation of the polarizability to the metabolic activity. Applying multi-linear partial least squares methods (N-PLS), the model is able to predict the specific acetate synthesis and uptake with a root mean square error of prediction of 0.19 (6% of the mean). The method represents a tool for characterization of different stages with respect to microbial metabolic activity and the energy balance during batch cultivations.     

Revisiting the Myths of Protein Interior: Studying Proteins with Mass-Fractal Hydrophobicity-Fractal and Polarizability-Fractal Dimensions

A robust marker to describe mass, hydrophobicity and polarizability distribution holds the key to deciphering structural and folding constraints within proteins. Since each of these distributions is inhomogeneous in nature, the construct should be sensitive in describing the patterns therein. We show, for the first time, that the hydrophobicity and polarizability distributions in protein interior follow fractal scaling. It is found that (barring ‘all-α’) all the major structural classes of proteins have an amount of unused hydrophobicity left in them. This amount of untapped hydrophobicity is observed to be greater in thermophilic proteins, than that in their (structurally aligned) mesophilic counterparts. ‘All-β’(thermophilic, mesophilic alike) proteins are found to have maximum amount of unused hydrophobicity, while ‘all-α’ proteins have been found to have minimum polarizability. A non-trivial dependency is observed between dielectric constant and hydrophobicity distributions within (α+β) and ‘all-α’ proteins, whereas absolutely no dependency is found between them in the ‘all-β’ class. This study proves that proteins are not as optimally packed as they are supposed to be. It is also proved that origin of α-helices are possibly not hydrophobic but electrostatic; whereas β-sheets are predominantly hydrophobic in nature. Significance of this study lies in protein engineering studies; because it quantifies the extent of packing that ensures protein functionality. It shows that myths regarding protein interior organization might obfuscate our knowledge of actual reality. However, if the later is studied with a robust marker of strong mathematical basis, unknown correlations can still be unearthed; which help us to understand the nature of hydrophobicity, causality behind protein folding, and the importance of anisotropic electrostatics in stabilizing a highly complex structure named ‘proteins’.     

On the Surface Plasmon Resonance Modes of Metal Nanoparticle Chains and Arrays

A method for estimating the surface plasmon resonance modes of metal nanoparticle chains and arrays within a multilayered medium is proposed. In this fully retarded point-dipole method, an inhomogeneous background is replaced with a homogeneous one, based on an effective refractive index approximation. The proposed method includes the effects of retardation, radiative damping, and dynamic depolarization due to the finite size of the nanoparticles. The use of diagonal terms of dyadic Green’s functions and different polarizability coefficients along the semi-axes of ellipsoidal nanoparticles provides a complete set of both longitudinal and transverse resonance modes. Numerical results are compared with experimental results found in the literature.