Transmission characteristics of axial waves in blood vessels

The elastic behavior of blood vessels can be quantitatively examined by measuring the propagation characteristics of waves transmitted by them. In addition, specific information regarding the viscoelastic properties of the vessel wall can be deduced by comparing the observed wave transmission data with theoretical predictions. The relevance of these deductions is directly dependent on the validity of the mathematical model for the mechanical behavior of blood vessels used in the theoretical analysis. Previous experimental investigations of waves in blood vessels have been restricted to pressure waves even though theoretical studies predict three types of waves with distinctly different transmission characteristics. These waves can be distinguished by the dominant displacement component of the vessel wall and are accordingly referred to as radial, axial and circumferential waves. The radial waves are also referred to as pressure waves since they exhibit pronounced pressure fluctuations. For a thorough evaluation of the mathematical models used in the analysis it is necessary to measure also the dispersion and attenuation of the axial and circumferential (torsion) waves.

To this end a method has been developed to determine the phase velocities and damping of sinusoidal axial waves in the carotid artery of anesthetized dogs with the aid of an electro-optical tracking system. For frequencies between 25 and 150 Hz the speed of the axial waves was between 20 and 40 m/sec and generally increased with frequency, while the natural pressure wave travelled at a speed of about 10 m/sec. On the basis of an isotropic wall model the axial wave speed should however be approximately 5 times higher than the pressure wave speed. This discrepancy can be interpreted as an indication for an anisotropic behavior of the carotid wall. The carotid artery appears to be more elastic in the axial than in the circumferential direction.     

The lamellar spacing in self-assembling bacteriochlorophyll aggregates is proportional to the length of the esterifying alcohol

Chlorosomes from green photosynthetic bacteria are large photosynthetic antennae containing self-assembling aggregates of bacteriochlorophyll c, d, or e. The pigments within chlorosomes are organized in curved lamellar structures. Aggregates with similar optical properties can be prepared in vitro, both in polar as well as non-polar solvents. In order to gain insight into their structure we examined hexane-induced aggregates of purified bacteriochlorophyll c by X-ray scattering. The bacteriochlorophyll c aggregates exhibit scattering features that are virtually identical to those of native chlorosomes demonstrating that the self-assembly of these pigments is fully encoded in their chemical structure. Thus, the hexane-induced aggregates constitute an excellent model to study the effects of chemical structure on assembly. Using bacteriochlorophyllides transesterified with different alcohols we have established a linear relationship between the esterifying alcohol length and the lamellar spacing. The results provide a structural basis for lamellar spacing variability observed for native chlorosomes from different species. A plausible physiological role of this variability is discussed. The X-ray scattering also confirmed the assignments of peaks, which arise from the crystalline baseplate in the native chlorosomes.     

Aggregation in cooked maize starch

This paper focuses on the aggregation of starch granules. The starch was cooked in a limiting amount of water and dispersed in different solvents. The size of the resulting aggregates was measured using light scattering. The solvents employed in this study (water, glycerol, ethanol, and 2-propanol) dispersed the aggregates to different degrees and resulted in different size distributions for the starch aggregates. It was observed that the size distribution of the cooked starch dispersed in the less polar solvents showed a higher representation of larger aggregates. Higher cooking temperatures resulted in larger aggregates. The methodology here presented proved to be a reproducible and practical way to study aggregation of starch.     

Scattering of ultrasound in cancellous bone: predictions from a theoretical model

An understanding of the interaction between acoustic waves and cancellous bone is needed in order to realize the full clinical potential of ultrasonic bone measurements. Scattering is likely to be of central importance but has received little attention to date. In this study, we adopted a theoretical model from the literature in which scattering was assumed to be proportional to the mean fluctuation in sound speed, and bone was considered to be a random continuum containing identical scatterers. The model required knowledge only of sound speeds in bone and marrow, porosity, and scatter size. Predicted attenuation, broadband ultrasonic attenuation (BUA) and backscatter coefficient were obtained for a range of porosities and scatterer sizes, and were found to be comparable to published values for cancellous bone. Trends in predicted BUA with porosity agreed with previous experimental observations. All three predicted acoustic parameters showed a non-linear dependence on scatterer size which was independent of porosity. These data confirm the value of the scattering approach and provide the first quantitative predictions of the independent influence of structure and porosity on bone acoustic properties.     

Structure of heat-induced beta-lactoglobulin aggregates and their complexes with sodium-dodecyl sulfate

We report on the conformation of heat-induced bovine beta-lactoglobulin (betalg) aggregates prepared at different pH conditions, and their complexes with model anionic surfactants such as sodium dodecyl sulfate (SDS). The investigation was carried out by combining a wide range of techniques such as ultra small angle light scattering, static and dynamic light scattering, small angle neutron scattering, small-angle X-ray scattering, electrophoretic mobility, isothermal titration calorimetry (ITC) and transmission electron microscopy. Three types of aggregates were generated upon heating betalg aqueous dispersions at increasing pH from 2.0 to 5.8 to 7.0: rod-like aggregates, spherical aggregates, and worm-like primary aggregates, respectively. These aggregates were shown not only to differ for their sizes and morphologies, but also for their internal structures and fractal dimensions. The main differences between aggregates are discussed in terms of the ionic charge and conformational changes arising for betalg at different pHs. The formation of complexes between SDS and the various protein aggregates at pH 3.0 was shown to occur by two main mechanisms: at low concentration of SDS, the complex formation occurs essentially by ionic binding between the positive residues of the protein and the negative sulfate heads of the surfactant. At complete neutralization of charges, precipitation of the complexes is observed. Upon further increase in SDS concentration, complex formation of SDS and the protein aggregates occurs primarily by hydrophobic interactions, leading to (i) the formation of an SDS double layer around the protein aggregates, (ii) the inversion of the total ionic charge of each individual protein aggregate, and (iii) the complete redispersion of the protein aggregate-SDS complexes in water. Remarkably, the SDS double layer around the protein aggregates provides an efficient protective shield, preventing precipitation of the aggregates at any possible pH values, including those values corresponding to the isoelectric pH of the aggregates.     

Daily variations in the optical properties of a small lake

1. The major components of the underwater light field (ULF: vertical attenuation, absorption, scattering and suspensoids including plankton fractions) of Las Madres Lake, a small wind‐sheltered, oligohumic lake in Central Spain, were investigated daily over a period of 3 months at the onset of vernal circulation. 2. Gilvin, arising mostly from the decomposition of reeds in the littoral in autumn, was the main component of vertical attenuation, and its variability explained the highest fraction of absorption variability. Tripton appeared to be the main factor responsible for scattering, and might have resulted from dust deposition from the surrounding mining land. The plankton community played a minor role in attenuation, absorption or scattering throughout the investigation period. 3. Vertical and horizontal mixing dynamics may control the ULF to a certain extent, as most optical properties changed within different mixing periods and poor advective exchanges may have resulted in uneven distribution of water colour in this small lake. 4. Time series analysis showed that most autocorrelations were shorter than a week, inherent properties (absorption, scattering) being delayed longer than apparent properties (attenuation, transparency) as a result of their lower dependence on solar irradiance. A 2‐day lag was observed in cross‐correlations between either gilvin and absorption or tripton and scattering. When different mixing periods at early circulation were considered, however, ULF components changed their relationships and delays with suspensoids and dissolved substances over such periods, probably tracking the dynamics of their controlling factors. 5. Our study, and others at daily, weekly, seasonal, interannual and long‐term scales, demonstrates that ULF is a system upon which different processes are operating at different time scales. Contrary to expectations, however, the variability in the ULF does not increase with time scale and depends partly upon the trophic status of lakes.     

Difference in the effects of surfactants and albumin on the extent of deaggregation of purpurin 18, a model of hydrophobic photosensitizer

Absorption, fluorescence and light scattering techniques have been used to monitor the deaggregation of purpurin 18, a model of hydrophobic photosensitizers for photodynamic therapy, in aqueous micelles, microemulsions and human serum albumin. The aggregates present in the neat aqueous solvents are found to undergo deaggregation in these media to different extents. Aqueous micelles and microemulsions are found to induce a complete deaggregation whereas the process is only partial in albumins. This could be an indication of the fact that such hydrophobic photosensitizers are likely to be aggregated in the blood stream, but are probably in monomeric form, upon cellular uptake. The formation of surfactant-induced aggregates at intermediate concentrations of the positively charged CTAB is also observed and is explained in the light of electrostatic interactions between the fluorophore and the surfactant.     

Study of a lipopolysaccharide-protein complex from Yersinia pseudotuberculosis in aqueous solutions by light scattering

Lipopolysaccharide-protein complex isolated from Yersinia pseudotuberculosis forms aggregates in aqueous solutions. Dissociation of aggregates was found by light scattering method for 1 M sodium chloride, 1 M guanidine chloride, and urea solutions. Very large particles were detected also in these solutions and acid media. Little light scattering alterations have been observed for 0.27 g/l solution, and pronounced effect of temperature has been detected for more diluted solutions.     

Intermolecular association and molecular weight of aggregates of a monodisperse homohexapeptide,Nps-[Glu(OBzl)]6-NHEt,in solution

Light scattering from the solutions of Nps-[Glu(OBzl)]₆-NHEt in dioxane or ethylene dichloride has been measured at different concentrations, and a critical concentration of intermolecular association is found to exist, which is equal to the critical concentration of β-form formation. The Debye plot of light scattering leads to the molecular weight of aggregates at the critical concentration, which corresponds to an aggregation number 15 in dioxane and 53 in ethylene dichloride. In the latter solvent the aggregates further associate into a larger aggregate consisting of 330 molecules when the concentration is increased beyond the critical concentration. The content of β-form, which is a measure of number of hydrogen bonds, is derived from the ir data previously obtained. The results on the modes of intermolecular association and hydrogen bonding lead to possible structures of aggregates formed by both hydrogen bonds and other nonbonding side-chain interactions.     

Stimulated Brillouin scattering in the field of a two-dimensionally localized pumping wave

Stimulated Brillouin scattering of electromagnetic waves in the field of a two-dimensionally localized pump wave at arbitrary scattering angles in the regime of forward scattering is analyzed. Spatial variations in the amplitudes of interacting waves are studied for different values of the pump field and different dimensions of the pump wave localization region. The intensity of scattered radiation is determined as a function of the scattering angle and the dimensions of the pump wave localization region. It is shown that the intensity increases with increasing scattering angle.     

Mechanism of formation of amyloid protofibrils of barstar from soluble oligomers: evidence for multiple steps and lateral association coupled to conformational conversion

Understanding the heterogeneity of the soluble oligomers and protofibrillar structures that form initially during the process of amyloid fibril formation is a critical aspect of elucidating the mechanism of amyloid fibril formation by proteins. The small protein barstar offers itself as a good model protein for understanding this aspect of amyloid fibril formation, because it forms a stable soluble oligomer, the A form, at low pH, which can transform into protofibrils. The mechanism of formation of protofibrils from soluble oligomer has been studied by multiple structural probes, including binding to the fluorescent dye thioflavin T, circular dichroism and dynamic light scattering, and at different temperatures and different protein concentrations. The kinetics of the increase in any probe signal are single exponential, and the rate measured depends on the structural probe used to monitor the reaction. Fastest is the rate of increase in the mean hydrodynamic radius, which grows from a value of 6 nm for the A form to 20 nm for the protofibril. Slower is the rate of increase in thioflavin T binding capacity, and slowest is the rate of increase in circular dichroism at 216 nm, which occurs at about the same rate as that of the increase in light scattering intensity. The dynamic light scattering measurements suggest that the A form transforms completely into larger size aggregates at an early stage during the aggregation process. It appears that structural changes within the aggregates occur at the late stages of assembly into protofibrils. For all probes, and at all temperatures, no initial lag phase in protofibril growth is observed for protein concentrations in the range of 1 microM to 50 microM. The absence of a lag phase in the increase of any probe signal suggests that aggregation of the A form to protofibrils is not nucleation dependent. In addition, the absence of a lag phase in the increase of light scattering intensity, which changes the slowest, suggests that protofibril formation occurs through more than one pathway. The rate of aggregation increases with increasing protein concentration, but saturates at high concentrations. An analysis of the dependence of the apparent rates of protofibril formation, determined by the four structural probes, indicates that the slowest step during protofibil formation is lateral association of linear aggregates. Conformational conversion occurs concurrently with lateral association, and does so in two steps leading to the creation of thioflavin T binding sites and then to an increase in beta-sheet structure. Overall, the study indicates that growth during protofibril formation occurs step-wise through progressively larger and larger aggregates, via multiple pathways, and finally through lateral association of critical aggregates.     

Aggregation behavior of ibuprofen, cholic acid and dodecylphosphocholine micelles

Non-steroidal anti-inflammatory drugs (NSAIDs) are frequently used to treat chronic pain and inflammation. However, prolonged use of NSAIDs has been known to result in Gastrointestinal (GI) ulceration/bleeding, with a bile-mediated mechanism underlying their toxicity to the lower gut. Bile acids (BAs) and phosphatidylcholines (PCs), the major components of bile, form mixed micelles to reduce the membrane disruptive actions of monomeric BAs and simple BA micelles. NSAIDs are suspected to alter the BA/PC balance in the bile, but the molecular interactions of NSAID-BA or NSAID-BA-PC remain undetermined. In this work, we used a series of all-atom molecular dynamics simulations of cholic acid (CA), ibuprofen (IBU) and dodecylphosphocholine (DPC) mixtures to study the spontaneous aggregation of CA and IBU as well as their adsorption on a DPC micelle. We found that the size of CA-IBU mixed micelles varies with their molar ratio in a non-linear manner, and that micelles of different sizes adopt similar shapes but differ in composition and internal interactions. These observations are supported by NMR chemical shift changes, NMR ROESY crosspeaks between IBU and CA, and dynamic light scattering experiments. Smaller CA-IBU aggregates were formed in the presence of a DPC micelle due to the segregation of CA and IBU away from each other by the DPC micelle. While the larger CA-IBU aggregates arising from higher IBU concentrations might be responsible for NSAID-induced intestinal toxicity, the absence of larger CA-IBU aggregates in the presence of DPC micelles may explain the observed attenuation of NSAID toxicity by PCs.     

Analysis of the Scattering of Surface Plasmon Polariton Waves from a Perfectly Conducting Circular Cylinder

Surface plasmon polariton (SPP) waves are the most extensively studied waves among various types of surface waves because they are easy to excite and have been used in many optical applications particularly for plasmonic communication, sensing, and harvesting solar energy. In all these applications, especially on-chip plasmonic communication, scattering can be an important issue to deal with. Therefore, this paper aimed to theoretically inspect the scattering pattern of SPP waves from a perfect electric conductor (PEC) cylindrical scatterer. The cylindrical wave approach is used to solve the scattering problem by a cylindrical object placed below a metallic layer. The scattering is investigated thoroughly by changing the size of the scatterer and its distance from the interface along which the SPP wave is excited. As the size of the scatterer increases, the scattering increases significantly. On the other hand, when the distance of the scatterer from the interface is increased, the scattered field becomes small. Two-dimensional field maps are produced for the incident angle at which SPP is excited. Numerical results are also presented for other incident angles to make a comparison. Furthermore, the forward and backward far-fields are significantly enhanced if the SPP wave is scattered in comparison with when the SPP wave is not present.

     

Dependence of ultrasonic attenuation on bone mass and microstructure in bovine cortical bone

The development of the axial transmission technique now enables in vivo evaluation of cortical bone quality, which plays an important role in bone fragility. Cortical bone is a complex multiscale material, which may be made of different types of microstructure. The interaction between ultrasound and cortical bone remains unclear and most studies have been confined to wave speed analysis. The first aim of this study is to investigate the dependence of the frequency-dependent attenuation on the type of bone microstructure. The second goal is to determine whether broadband ultrasonic attenuation (BUA) is related to volumetric bone mineral density (vBMD) and mass density. Parallelepipedic samples of bovine cortical bone were cut from three specimens and tested in the axial, radial and tangential directions using an ultrasonic transmission device. BUA was evaluated over a 1-MHz wide bandwidth around 4MHz. In addition, the microstructure of each sample was determined using an optical microscope. BUA values measured in porotic microstructure are significantly higher than in Haversian microstructure. The lowest BUA values are obtained for plexiform microstructure. For all structures, BUA in the axial direction is significantly smaller than in the radial and tangential directions. Moreover, BUA is correlated with both vBMD and density (determination coefficient (R2) equal to 0.44 and 0.65, respectively, in the axial direction). BUA variations can be explained by scattering and viscoelastic mechanisms. This study suggests that BUA measurements have the potential to discriminate among different cortical bone microstructures in addition to providing material properties.     

Fluorometry of turbid and absorbant samples and the membrane fluidity of intact erythrocytes.

In employing intrinsic or extrinsic fluorophores in the study of whole cells, or other strongly absorbant and/or scattering samples, the measured fluorescence intensity and polarization is seriously affected by absorption and scattering within the sample cuvet. These artifacts are analyzed and simple protocols are provided for overcoming them. An expression relating attenuation of the observed emission anisotropy to sample turbidity is derived. The validity of the method is confirmed by experiments in which the emission anisotropies and fluorescence yields of membrane probes in intact erythrocytes was measured with precision. It is also shown that the rotational mobility of the membrane probe 1-phenyl-3-(2-naphthyl)-2-pyrazoline is the same for intact erythrocytes and ghosts. These protocols are particularly useful in measuring the intrinsic fluorescence yield ratio for excimeric and monomeric emission of pyrene-containing membrane probes. This provides a method for determining the local lateral mobility of excimeric probes in intact erythrocytes.     

Influence of the ionic strength on the heat-induced aggregation of the globular protein beta-lactoglobulin at pH 7

The influence of the ionic strength on the structure of beta-lactoglobulin aggregates formed after heating at pH 7 has been studied using static and dynamic light scattering. The native protein depletion has been monitored using size exclusion chromatography. Above a critical association concentration (CAC) well-defined clusters are formed containing about 100 monomers. The CAC increases with decreasing ionic strength. The so-called primary aggregates associate to form self similar semi-flexible aggregates with a large scale structure that is only weakly dependent on the ionic strength. The local density of the aggregates increases with increasing ionic strength. At a critical gel concentration, Cg, the size of the aggregates diverges. Cg decreases from 100 g/l without added salt to 1 g/l at 0.4M NaCl. For C > Cg the system gels except at high ionic strength close to Cg where the gels collapse under gravity and a precipitate is formed.     

The effect of charge density on the velocity and attenuation of ultrasound waves in human cancellous bone

Cancellous bone is a highly porous material, and two types of waves, fast and slow, are observed when ultrasound is used for detecting bone diseases. There are several possible stimuli for bone remodelling processes, including bone fluid flow, streaming potential, and piezoelectricity. Poroelasticity has been widely used for elucidating the bone fluid flow phenomenon, but the combination of poroelasticity with charge density has not been introduced. Theoretically, general poroelasticity with a varying charge density is employed for determining the relationship between wave velocity and attenuation with charge density. Fast wave velocity and attenuation are affected by porosity as well as charge density; however, for a slow wave, both slow wave velocity and attenuation are not as sensitive to the effect of charge density as they are for a fast wave. Thus, employing human femoral data, we conclude that charged ions gather on trabecular struts, and the fast wave, which moves along the trabecular struts, is significantly affected by charge density.     

The aggregation behaviour of protein-coated particles: a light scattering study

The different mechanisms involved in the aggregation of spherical latex particles coated with bovine serum albumin (BSA) have been studied using static and dynamic light scattering. These techniques assess the fractal dimension of the aggregates and their mean hydrodynamic radius. Particles with different degrees of surface coverage have been prepared. The net charge of the covered particles has been modified by varying the pH of the aqueous phase. The aggregation rate was measured and used to determine the importance of the different aggregation mechanisms that are responsible for these types of flocculation processes. At low and intermediate degrees of surface coverage, bridging flocculation is the principal aggregation mechanism irrespective of the electrical state of the protein-particle complexes. At high degree of surface coverage, however, weak flocculation is important only when the BSA molecules are at their isoelectric point.     

Distances between the antigen-binding sites of three murine antibody subclasses measured using neutron and X-ray scattering.

For three different murine immunoglobulins (IgG subclasses 1, 2a, and 2b), the distances between their antigen-binding sites have been measured using neutron scattering from deuterated antigens complexed with proteated IgG. Neutron-scattering data were measured for each antibody-antigen complex in a 41% D2O solvent. Unlike the proteated antibody molecule, the deuterated antigens are strongly contrasted against the 41% D2O solvent and give rise to a scattering profile that contains an interference term related to the distance between the deuterated antigens. For all three subclasses, the damping of this interference term, which gives information on the relative flexibility of the antigen-binding sites, indicates that a single distance is inadequate to describe the observed scattering and a distribution of distances is needed. The scattering profile has been modeled for each subclass to give the mean distance between the antigens and the variance of this distance. For all three IgG subclasses, the mean distance is between 117 and 134 A, and the variance is large (approximately 40 A), indicating a high degree of flexibility of the Fab arms. Small-angle X-ray scattering measurements on the same samples are consistent with the neutron-scattering results.     

Propagation of shear waves in the muscle tissue

A mathematical model of the propagation of acoustic shear waves in muscle tissue is considered. The muscle is modelled by an incompressible transversely isotropic viscoelastic continuum with quasi-one-dimensional active tension. Two types of shear waves in an infinite medium have been established. The waves of the second type (transverse) propagate without attenuation even when myofibril viscosity is taken into account. A problem of standing transverse waves in a rectangular layer has been investigated numerically. The values of the problem parameters have been found for which the active tension or muscle tonus is easily estimated from the characteristics of standing waves. This value is informative for the diagnosis of muscle state.