High‐resolution computational imaging of leaf hair patterning using polarized light microscopy

The leaf hairs (trichomes) on the aerial surface of many plant species play important roles in phytochemical production and herbivore protection, and have significant applications in the chemical and agricultural industries. Trichome formation in the model plant Arabidopsis thaliana also presents a tractable experimental system to study cell differentiation and pattern formation in plants and animals. Studies of this developmental process suggest that trichome positioning may be the result of a self‐forming pattern, emerging from a lateral inhibition mechanism determined by a network of regulatory factors. Critical to the continued success of these studies is the ability to quantitatively characterize trichome pattern phenotypes in response to mutations in the genes that regulate this process. Advanced protocols for the observation of changes in trichome patterns can be expensive and/or time consuming, and lack user‐friendly analysis tools. In order to address some of these challenges, we describe here a strategy based on polarized light microscopy for the quick and accurate measurement of trichome positions, and provide an online tool designed for the quantitative analyses of trichome number, density and patterning.     

Turbidimetric and morphological studies of type I collagen fibre self assembly in vitro and the influence of fibronectin

Collagen undergoes several stages of self assembly including turbidimetric lag, growth and plateau steps. The later stages of type I collagen self assembly were studied by turbidity—time measurements, low angle laser light scattering and by determination of the birefringence retardation of collagen fibres formed in vitro. These studies were conducted in the presence and absence of fibronectin to evaluate the effect of fibronectin on the kinetics and extent of type I collagen fibrillogenesis. The results of these studies indicate that the collagen fibres observed at the end of the lag phase appear to be identical to fibres seen in the growth phase of turbidity—time curves based on fibre diameter and birefringence retardation measurements. Birefringence retardation measurements suggest that the diffracting unit may be the collagen fibril and that the volume fraction of fibrils in fibres is about 0.95 using a model developed for a series of parallel ellipsoids. Morphological observations suggest that the distribution of fibre diameters formed in vitro during the growth phase is narrow and appears to be independent of time with only the mass of collagen in fibres increasing during the growth phase. During the growth phase, layers of parallel fibres are formed with alternating layers appearing almost orthogonal. In the presence of fibronectin the mechanism of fibre formation appeared unchanged. It was concluded that fibronectin appeared to modify the kinetics of self assembly by preventing collisions between collagen molecules.     

Transient electric birefringence studies of xanthan solutions

Transient electric birefringence studies have been performed on heat denatured xanthan in 4 m urea. The induced birefringence was positive, the Kerr law was obeyed at low field amplitudes and the birefringence saturated at high fields. The orientation mechanism appears to be mainly induced dipolar in character and the magnitude of the induced dipole moment can be explained on the basis of counterion polarization. The molecules behave as independent rods of mean length 0.65 μm with no evidence for ‘hindered rotation’ in moderately concentrated solutions. The molecular rigidity is attributed to extension of the polyanion due to charge charge repulsions or steric hindrance due to the side chains.     

Revisiting polarimetry near the isotropic point of an optically active,non‐enantiomorphous,molecular crystal

Accurate polarimetric measurements of the optical activity of crystals along low symmetry directions are facilitated by isotropic points, frequencies where dispersion curves of eigenrays cross and the linear birefringence disappears. We report here the optical properties and structure of achiral, uniaxial (point group D_2d) potassium trihydrogen di‐(cis‐4‐cyclohexene‐1,2‐dicarboxylate) dihydrate, whose isotropic point was previously detected (S. A. Kim, C. Grieswatch, H. Küppers, Zeit. Krist. 1993; 208:219–222) and exploited for a singular measurement of optical activity normal to the optic axis. The crystal structure associated with the aforementioned study was never published. We report it here, confirming the space group assignment I c2, along with the frequency dependence of the fundamental optical properties and the constitutive tensors by fitting optical dispersion relations to measured Mueller matrix spectra. k‐Space maps of circular birefringence and of the Mueller matrix near the isotropic wavelength are measured and simulated. The signs of optical rotation are correlated with the absolute crystallographic directions.     

Investigation of the temperature dependence of the cross bridge parameters for attachment,force generation and detachment as deduced from mechano-chemical studies in glycerinated single fibres from the dorsal longitudinal muscle of Lethocerus maximus

Birefringence change during excitation was studied by using Nitellopsis obtusa. The velocity change of cytoplasmic streaming during an action potential was measured simultaneously by fluctuation analysis of transmitted light intensity. The origin of the retardation change was discussed by comparing optical retardation change to the time course of the action potential, the cytoplasmic streaming velocity change and the cell contraction.By the time course analysis of retardation change, we concluded that the change of the birefringence might be the sum of the changes of cytoplasmic flow and that of the size of length and diameter of the cell. But it is still difficult to separate the change to its components.     

Optical Constants of Two Typical Liquid Crystals 5CB and PCH5 in the THz Frequency Range

The complex refractive indices of two benchmark nematic liquid crystal,4-4 -n-pentyl-cyanobiphenyl (5CB) and 4-(trans-4pentylcyclohexyl)-benzonitrile (PCH5) have been determinedin the frequency range from 0.2 to 0.8 THz. The technique of coherent THztime-domain spectroscopy (THz-TDS) was used. We show that the birefringenceof 5CB is in the range of 0.15 to 0.21, while that of PCH is from 0.01 to0.08. Both liquid crystals exhibit relatively small absorption in thisfrequency range. The large birefringence of 5CB indicates possible applications of liquid-crystal-based devices for modulation and polarizationcontrol of electromagnetic radiation in the THz frequency range.     

Pathological crystal imaging with single‐shot computational polarized light microscopy

Pathological crystal identification is routinely practiced in rheumatology for diagnosing arthritis disease such as gout, and relies on polarized light microscopy as the gold standard method used by medical professionals. Here, we present a single‐shot computational polarized light microscopy method that reconstructs the transmittance, retardance and slow‐axis orientation of a birefringent sample using a single image captured with a pixelated‐polarizer camera. This method is fast, simple‐to‐operate and compatible with all the existing standard microscopes without extensive or costly modifications. We demonstrated the success of our method by imaging three different types of crystals found in synovial fluid and reconstructed the birefringence information of these samples using a single image, without being affected by the orientation of individual crystals within the sample field‐of‐view. We believe this technique will provide improved sensitivity, specificity and speed, all at low cost, for clinical diagnosis of crystals found in synovial fluid and other bodily fluids.     

Liposomal heme as oxygen carrier under semi-physiological conditions orientation study of heme embedded in a phospholipid bilayer by an electrooptical method

The meso-tetra(α,α,α,α(o-pivalamidophenyl))porphinato iron-mono(1-lauryl-2-methylimidazole) complex embedded in the bilayer of dimyristoylphosphatidylcholine (liposomal heme) binds molecular oxygen reversibly at pH 7 and 37°C. Orientation of the iron porphyrin complex in the phospholipid bilayer was studied by electric birefringence and dichroism. It was observed that both the phospholipid bibilayer of liposome and the porphyrin plane are oriented nearly in parallel to the electric field. Therefore the angle between the porphyrin plane and the bilayer is considered to be practically small.     

Association states of tubulin in the presence and absence of microtubule-associated proteins. Analysis by electric birefringence

Electric birefringence has been used to examine the states of association of tubulin in phosphocellulose-purified tubulin or depolymerized microtubule protein solutions at low temperature. In a high electric field (1000-4000 V/cm), tubulin could be orientated (owing to the existence of a permanent and/or induced dipole) and exhibited a positive birefringence (delta n), related to its intrinsic optical anisotropy. The analysis of the relaxation process (depending on hydrodynamic properties of molecules), by measurement of the time decay of delta n, revealed the existence of a multicomponent or polydisperse system, whatever the tubulin solution. Two relaxation times, representative of the smallest and the largest orientated species, were obtained by computer-fitting analysis. The mean values of relaxation time for phosphocellulose-purified tubulin were 0.8 and 8 microseconds. In microtubule protein solutions, large-sized macromolecular species with relaxation time up to 450 microseconds were detected. The largest species (relaxation times ranging from 50 to 450 microseconds) could be eliminated by centrifugation at 3000000 X g for 1 h. Addition of microtubule-associated protein to either pure tubulin or high-speed centrifuged microtubule protein led to a rapid formation of large species analogous to those present in microtubule protein. Molecular dimensions of the relaxing structures were estimated using simple hydrodynamic models and values of rotational diffusion constants calculated from the relaxation times, and compared to those of the structures described in the literature. In conclusion, we have found that (a) phosphocellulose-purified tubulin is not only composed of elementary species (dimers) but also contains tubulin-associated forms of limited size (up to 7-10 dimers), (b) depolymerized microtubule protein solutions contain ring oligomers and structures very much larger, the formation of which is dependent on the presence of microtubule-associated protein.     

Molecular structure of potassium kappa carrageenate gels: a rheological and pulsed electric birefringence study

Measurements have been made of the shear modulus as a function of biopolymer concentration for pure potassium kappa carrageenate gels. The results have been discussed on the basis of rubber elasticity theory to investigate the free polymer linkages between junction zones within the gels. Pulsed electric birefringence studies have been made on segmented kappa carrageenan as a model for the junction zones of the gel.