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.     

Birefringence of Protein Solutions and Biological Systems. I

The quantitative interpretation of birefringence of biological structures such as muscle requires a knowledge of intrinsic birefringence of the components. The intrinsic birefringence of fibrous structures as determined by variation of solvent index is positive while the intrinsic birefringence of proteins in solution is negative as calculated by the Peterlin-Stuart theory. As a first step in clarifying this discrepancy the basis of the Peterlin-Stuart theory has been re-examined. The theory has been recalculated from the standpoint of light scattering and extended to particles whose length is not small compared to the wavelength. The birefringence of a system of particles possessing a shell with index different from the bulk solvent has been obtained in order to interpret measurements in mixed solvents.     

Specimen preparation and quantification of collagen birefringence in unstained sections of articular cartilage using image analysis and polarizing light microscopy

To establish an optimal method for analysis of the collagen structures from unstained tissue sections, a computerized image analysis system using a charge coupled device camera coupled to a polarizing light microscope was used. Retardation values of birefringence, which are proportional to the content and fibril orientation of collagen in the extracellular matrix of articular cartilage, were determined from sections prepared in different ways. In the superficial zone of articular cartilage, the highest retardation values were recorded from sections cut parallel to the so-called split lines indicating the anisotropic arrangement of collagen. Complete digestion of glycosaminoglycans reduced the retardation value by approximately 6.0%, suggesting a minor, but not insignificant, contribution of glycosaminoglycans to the birefringence of the matrix. The use of a mounting medium with a refractive index close to that of the collagen (e.g. DPX) increased the specificity of the method, since the optical anisotropy of collagen derives predominantly from the intrinsic (structural) birefringence. In conclusion, analysis of unstained sections after careful removal of paraffin and glycosaminoglycans from the tissues provides a sensitive and rapid quantitative assessment of oriented collagen structures in articular cartilage     

The conformation of poly-L-alanine in hexafluoroisopropanol

High-molecular-weight poly-L -alanine dissolved in hexafluoroisopropanol exhibits infrared, ultraviolet, circular dichroism, and optical rotatory dispersion spectra which are unique and unlike any other previously reported polypeptide spectra. Strong evidence that a helical conformation is present is shown by the high degree of hypochromism in the 187mμ absorption peak and by the positions of the amide infrared bands. The CD and ORD spectra are also similar to those of α-helical polypeptides, though important qualitative and qualitative differences are observed. To explain the novel spectra, which are not mixtures of the spectra of previously reported polypeptide conformations, a new α-helix-like conformation is proposed. The postulated conformation (a doubly hydrogen-bonded helix) is a distorted α-helix in which the peptide carbonyl groups point slightly out from the helix axis and are hydrogen bonded simul taneously both to the NH of the fourth peptide residue to the carboxyl terminal side (as in the classical α-helix), as well as to a solvent molecule's hydroxyl hydrogen.     

Possible origin of action potential and birefringence change in nerve axon

In this theory, we propose that the action potential and the birefringence change in nerve axon are both originated from dipole reorientation at the membrane surface under stimulation. The calculation is based upon a dipole distribution in two energy bands with a population ratior. Coincidence of the action potential with the birefringence change is predicted to occur whenr is in the order of 0.1 which corresponds to severalkT for the energy separation between the two bands. Furthermore, at any value ofr, there is always a small delay of the birefringence change behind the action potential. The theory not only is in good agreement with the recent optical observations in nerve but also indicates a possible physical origin of action potential, a long unresolved problem in neurophysiology.     

Intrinsic Birefringence of Poly-γ-Benzyl-l-Glutamate, A Helical Polypeptide, and the Theory of Birefringence

The intrinsic birefringence of macromolecules can be obtained directly from flow birefringence measurements in a solvent whose refractive index matches that of the solute. A small and positive value (approximately 0.01) was found for the helical polypeptide, poly-γ-benzyl-L-glutamate. The birefringence in solvents of varying index calculated from the Peterlin-Stuart theory using this value of the intrinsic birefringence did not agree with experimental values. Considerations of polydispersity and shear deformation indicated that the discrepancy could not be attributed to these effects. Also it could not be explained in terms of specific solvent effects. It is concluded that optical properties cannot be derived from the continuum model employed by Peterlin and Stuart. Much better agreement was obtained with a helical dipole necklace model.     

Optic methods for measurements of muscle fiber birefringence

An optical method for measuring the birefringence of muscle fibers was developed, which is realized on an automated Linnick interferometer microscope equipped with a laser. It was shown that the method has some advantages over the methods based on measurements of the intensity of light passing through a crossed polarizer, an analyzer, and a fiber (light polarized microscopy). The method involves direct phase measurements of optical path length at the parallel and perpendicular orientations of the polarization plane of probing radiation. The phase image is reconstructed automatically from interferograms with the use of the four-frame phase-shifting algorithm. The phase images of one and the same central part of the fiber at different orientations of the polarization plane represent two-dimensional numerical maps of the optical path length. The subtraction of these images gives a two-dimensional map of the phase shift, which includes information about the birefringence of the fiber. A formula for birefringence measurements was deduced, which has a certain advantage in comparison to that used earlier in that it does not take into account the thickness of a fiber that depends on the measurement point. The birefringence is normalized to a value of the half sum of phases, which are measured separately in the course of the experiment.     

Positive and negative birefringence in chromosomes

By using the optical properties of birefringence of DNA, the arrangement of these molecules has been studied in Dinoflagellate chromosomes and Dipteran polytene chromosomes. These latter are used, here, as a reference material. These observations have been made under a polarizing microscope on intact and stretched chromosomes. — Intact Dinoflagellate chromosomes show a positive birefringence, in contrast with polytene chromosomes bands which are negatively birefringent. From these observations one can deduce the preferential orientation of DNA filaments, in Dinoflagellates, normal to the chromosome axis, and in polytene chromosomes parallel to the same axis. — After stretching, these two kinds of chromosomes are negatively birefringent. In both cases, DNA molecules have been aligned along the stretch axis. — In Dinoflagellate chromosomes the passage from a positive to a negative birefringence is realized without any isotropic stage. The intermediary state presents a biaxial structure.     

Spectroscopic studies of random chain and -helical polypeptides in hexafluoroisopropanol

The infrared, ultraviolet, circular dichroism, and optical rotatory dispersion spectra of five synthetic polypeptides dissolved in hexafluoroisopropanol are reported. This solvent is useful because it dissolves most proteins and non-ionic polypeptides and also is transparent in spectral regions critical for polypeptide conformational diagnoses. Poly-γ-morpholinylethyl-L -glutamamide has random chain type spectra in this solvent, whereas the spectra of poly-γ-methyl-L -glutamate, poly-L -methionine, poly-ε, N -Carbo-benzoxy-L -lysine, and poly-L -homoserine indicate that these four polypeptides are α-helical. Small but significant variability between the different α-helical polypeptides is seen in their circular dichroism spectra and optical rotatory dispersions. An argument is presented that these differences may be due to slight geometry differences between different α-helices.     

Optical birefringence of phosphatidylcholine liposomes in gel phases

A simple and rapid method for studying optical anisotropic properties of liposomes was proposed. Intensities of transmitted light through one spherical liposome of dipalmitoylphosphatidylcholine placed between two polarizers were measured at various wavelengths by a microscopic spectrophotometer. Large increases in the intensities were observed at the prephase-transition temperature, which were caused by an increase in the birefringence of the multilayer of the liposome. The birefringence values obtained from the intensity data were about 0.020 below the pretransition temperature and 0.028 above that temperature. These values are in good agreement with the results reported for the plane samples in which lipid bilayers are stacked. The obtained values of the birefringence were far lower than the values estimated from polarizabilities. This lower birefringence is attributed to disordering of the tilt direction in the multilayer. The degree of order of the liposome multilayers calculated from the birefringence increased by 38% at the pretransition. This simple method is applicable to the study of the multilayer structure of liposomes in water.     

Induced optical activity of acridine orange bound to poly-S-carboxymethyl-L-cysteine

The absorption and rotatory properties of acridine orange-poly-S-carboxymethyl-L -cysteine system in water and in 0.2 M NaCl have been measured at different pH and polymer-to-dye mixing ratios. The absorption spectra indicate that the dyes are bound to the polymer in dimeric or highly aggregated forms. At neutral pH where the polymer is randomly coiled, no optical activity is induced on the absorption bands of bound acridine orange. At acid pH where the polymer has the β-conformation, a pair of positive and negative circular dichroic bands occur at each of the absorption bands, centered around 458 and 261 mμ. The signs of those bands are opposite to those found for α-helical poly-L -glutamic acid. A model for the binding of dye to the β-form polymer is presented, in which dimeric dyes are attached to ionized carboxyl groups and slack one another to form linear arrays on both sides of an extended polypeptide chain. The observed circular dichroism spectra can be explained by the Tinoco's exciton mechanism, based on this model. Low molecular weight poly-S-carboxymethyl-L -cysteine induces quite a different circular dichroism on bound acridine orange.     

The optical birefringence of DNA solutions induced by oscillatory electric and hydrodynamic fields

The optical birefringence induced in DNA solutions by both oscillating hydrodynamic fields (flow birefringence) and oscillating electric fields (Kerr effect) is measured over a wide frequency range. The observed frequency response of the birefrigence is compared with theories for rigid ellipsoidal particles and for Gaussian chains. DNA at 6 × 10⁵ molecular weight is found to exhibit rigid particle hydrodynamic behavior, while DNA at 5 × 10⁶ molecular weight behaves like a flexible chain. Characterization of the hydrodynamic relaxation spectra for the DNA's by oscillatory flow birefringence allows precise comparison between theory and the experimental Kerr effect response. The dielectric model for DNA contains both permanent and dispersionless induced dipole moments. The dielectric behavior of DNA has the character of a permanent dipole but with anomalous low-frequency dispersion in the Kerr effect. The existing theories do not adequately describe this dispersion. A fluctuation dipole mechanism with relaxation times comparable to those associated with the hydrodynamic motion could possibly demonstrate the observed polar behavior.     

Electro-optical properties of nucleic acids and nucleoproteins. 3. Kramers-Kronig relationships in linear birefringence and dichroism. Application to a DNA-proflavine complex

The relation between the birefringence dispersion curve in a dichroic absorption band and the corresponding dichroism spectrum is given, using the Cauchy's theorem. The theory was checked on a DNA–proflavine complex with the aid of electro-optical measurements. An excellent agreement between the experimental results and the theoretical calculations was found. The birefringence and dichroism of the complex appear to be determined by the orientation of the macromolecule while no evidence for a contribution of the hyperpolarizabilities to the electro-optical effect is found. The importance of the dichroism correction in the calculation of the birefringence dispersion curve is emphasized.     

A non-perturbation method for the optical properties of helical polymers

The optical absorption and circular dichroism (CD) of poly-L -alanine in an α-helical conformation are computed in terms of monomer properties by use of Bogoliubov exciton theory (a non-perturbation method). It was shown earlier that a proper formulation of the theory of CD for large molecular systems permits the use of periodic boundary conditions, a feature which greatly simplifies calculations as well as conceptual understanding. If is found that the shape of the observed CD spectrum can be explained in terms of the two rotational strength components and an electric dipole strength component referred to as the helix term. Comparisons of the results of perturbation theory and Bogoliubov exciton theory show that perturbation theory is valid for absorption but is inadequate for CD if the coupling among monomers is sufficiently large lo predict the observed hypochromism.     

Electronic spectrum,optical activity,and structure of the acridine orange complex with poly-α,L-glutamic acid

The electronic absorption and circular dichroism spectra of the complex formed by acridine orange with poly-α,L -glutamic acid in the α-helix conformation have been measured in aqueous solution over a range of glutamate residue-to-dye ratios. Three Cotton effects (circular dichroism bands) associated with the long wavelength absorption band of acridine orange at 4950 A. are induced by complex formation between the dye and the polypeptide, and further circular dichroism bands are observed in the ultraviolet region associated with the 2700 A., but not with the 2950 A. absorption band of the dye. The induced optical activity is found to be relatively insensitive to the glutamate residue-to-dye ratio and to be more dependent upon the ionic strength of the solution. By Measuring the circular dichroism spectrum of the complex in aqueous solution under streaming conditions with the light propagated along the direction of flow the observed circular dichroism bands are assigned to electronic transitions polarized parallel or perpendicular to the axis of the polypeptide α-helix. From the spectroscopic data it is inferred that the dye aggregate in the L -PGA–AO complex has the form of a left-handed superhelix bound to the core of the right-handed α-helix of poly-α,L -glutamic acid. It is shown that the longer and the shorter of the in-plane axes of the dye molecule are probably orientated respectively at a small angle, and radially, with respect to the axis of the α-helix in the complex.     

Flow birefringence of T2 bacteriophage DNA

The streaming birefringence and extinction angles of DNA from T2 bacteriophage in neutral aqueous buffers have been determined over a range of concentrations from 5 to 44 μg./ml. and of velocity gradients from 5 to 50 sec.^?1. Although the extinction angles are relatively small even at the lowest velocity gradients and concentrations studied, a lower limit estimate of the limiting extinction angle to shear rate ratio can be made, and this value is interpreted in terms of available dynamical theory. The statistical segment length has been estimated from the birefringence data as ～ 1100 A. This figure is in satisfactory agreement with the results of independent calculations by others.     

Circular dichroism of collagen, gelatin, and poly(proline) II in the vacuum ultraviolet.

Circular dichroism spectra for acid-soluble calfskin collagen, gelatin, and poly(proline) II in solution have been extended into the vacuum ultraviolet region. The extended spectrum of gelatin reveals that the circular dichroism of this unordered polymer is more closely related to the spectrum of charged polypeptides than might be evident from near ultraviolet work. A short-wavelength band is found at about 172 nm, which corresponds in position, magnitude, and sign to a band recorded earlier for poly(L -glutamic acid) at pH 8.0. This band is observed in a helical structure for the first time in the vacuum ultraviolet circular dichroism and absorption spectra of poly(proline) II. Both circular dichroism and absorption spectra point to the assignement of this band as the nσ*. Neither the nσ* nor the expected positive lobe of the ππ* helix band is observed in the extended circular dichroism spectrum of collagen. We postulate that these two bands cancel here in analogy to the case of α-helical poly(L -glutamic acid).     

Electric properties of macromolecules. IX. Dipole moment, polarizability, and optical anisotropy factor of collagen in solution from electric birefringence

The electric birefringence of collagen solutions has been measured over a wide range of field strength with the pulse technique. The soluble collagen was from rat tail tendon. The solvent used was dilute acetic acid. Very pronounced saturation of the electric birefringence was observed, permitting calculation of the optical anisotropy factor. The Kerr constant was determined by extrapolation to zero field strength. From the dependence on field strength of the birefringence, the permanent dipole moment and the anisotropy of polarizability were separately determined. The contribution of the former to the Kerr constant was found to be twice as large as that of the latter. The same conclusion was obtained from the initial slope of the rise curves of the birefringence at low fields. The permanent dipole moment was 1.5 × 10⁴ Debye, and the anisotropy of polarizability was about 3 × 10^?15 cm.³. The magnitude of the latter indicates that the ion atmosphere polarization is important. Effects of added salt and thermal denaturation on the electric birefringence were explored.     

Form birefringence as applied to biopolymer and inorganic material supraorganization

Abstract

I review here form, or textural, birefringence (Δ_F) in the context of advances in the field, as well as with regard to findings and applications in the physics of photonic devices, fibers maintaining polarization, photonic crystal fibers, and in biopolymers present in extracellular matrices and the myelin sheath. Some advantages of applying knowledge of Δ_F to biological fields involving biopolymers, especially collagen fibers, are considered in more detail. Tendon and cartilage collagen fibers have been regarded as a model of dense, highly aggregated biopolymers with preferential orientations. Owing to their supramolecular organization, such materials may be used to study molecular order by using anisotropic optical properties, especially Δ_F. Differences between collagen type I- and collagen type II-rich structures, and similarities between collagen crimp and second harmonic generation images are reported. Based on data reported here, it is possible to deduce that collagen type I supramolecular organization has nonlinear optical properties and that tendon segments can conduct red laser light. With respect to nerve fibers, the detection and measurements of Δ_F have allowed the myelin sheath to be considered a smectic liquid crystal.     

Electrical birefringence study of monodisperse collagen solutions

Acid-soluble collagen solution in 0.1 M acetic acid are studied by electrical birefringence. Specific birefringence is independant of concentration (for c < 100 mg/l.) and follows Kerr's law at low fields. Birefringence decays present a single relaxation time, and reversing pulse experiments show a very low contribution of induced moment compared to permanent dipole orientation. This result is also confirmed by birefringence rise measurements.