Turing bifurcations with a temporally varying diffusion coefficient

This paper is concerned with the possibility of Turing bifurcations in a reaction-diffusion system in which the diffusion coefficient of one species varies periodically in time. This problem was introduced and investigated numerically by Timm and Okubo (J. Math. Biol. 30, 307, 1992) in the context of predator-prey interactions in plankton populations. Here, I consider the simple case in which the temporal variation in diffusivity has a square-tooth form, alternating between two constant values, with a period that is long compared with the time scale of the kinetics. The analysis is valid for any set of reaction kinetics. I derive explicit expressions for the Floquet multipliers that determine the stability of the steady state, and thereby obtain the conditions for diffusion driven instability to occur. These conditions imply that, depending on the kinetics, the homogeneous equilibrium may be either more or less stable than when the diffusion coefficient is a constant equal to the mean of the variable diffusivity. I go on to consider the form of the solution when diffusion driven instability does occur, and I use perturbation theory to determine the effect of a small temporal variation in the diffusion coefficient on the spatial wavelength of the pattern that results from diffusion driven instability.     

Nonlinear autoregressive analysis of the 3/s ictal electroencephalogram: implications for underlying dynamics

 In a previous study, nonlinear autoregressive (NLAR) models applied to ictal electroencephalogram (EEG) recordings in six patients revealed nonlinear signal interactions that correlated with seizure type and clinical diagnosis. Here we interpret these models from a theoretical viewpoint. Extended models with multiple nonlinear terms are employed to demonstrate the independence of nonlinear dynamical interactions identified in the ‘NLAR fingerprint’ of patients with 3/s seizure discharges. Analysis of the role of periodicity in the EEG signal reveals that the fingerprints reflect the dynamics not only of the periodic discharge itself, but also of the fluctuations of each cycle about an average waveform. A stability analysis is used to make qualitative inferences concerning the network properties of the ictal generators. Finally, the NLAR fingerprint is analyzed in the context of Volterra-Weiner theory. Received: 6 April 1994/Accepted in revised form: 18 November 1994     

Crystallization and X-ray analysis of a single fab binding domain from protein L of Peptostreptococcus magnus

Protein L is a multi domain cell wall constituent of certain strains of Peptostreptococcus magnus which binds to the variable domain of immunoglobulin κ-light chains. A single immunoglobulin-binding domain of M_r = 9000 from this protein has been isolated and crystallized. The crystals are of space group P4₂2₁2, with cell dimensions a = b = 66.9 Å, c = 68.3 Å, and diffract to at least 2.2 Å resolution. The asymmetric unit of the crystal contains two molecules of the protein L domain, related by a noncrystallographic 2-fold axis, as revealed by a self-rotation function calculated with native diffraction data. © 1995 Wiley-Liss, Inc.     

Refocusing revisited: An optimized,gradient-enhanced refocused HSQC and its applications in 2D and 3D NMR and in deuterium exchange experiments

Summary 2D ¹⁵N-¹H correlation spectra are ideal for measuring backbone amide populations to determine amide exchange protection factors in studies of protein folding or other structural features. Most protein NMR spectroscopists use HSQC, which has been shown to be generally superior to HMQC in both resolution and sensitivity. The refocused HSQC experiment is intrinsically less sensitive than the regular HSQC, due to T₂ relaxation during the refocusing delays. However, we show here that, when high ¹⁵N resolution is needed, an optimized refocused HSQC sequence that utilizes a semi-constant time evolution period and pulsed field gradients has better signal-to-noise ratio and resolution, and integrates more accurately, than a similar HSQC. The differences are demonstrated on a 20 kDa protein. The technique can also be applied to 3D NOESY experiments to eliminate strong NH₂ geminal peaks and their truncation artefacts at a modest cost in sensitivity.     

Isolation of virally-infected insect cells from a population containing infected and uninfected cells

A method was developed that can be used to isolate virally-infected insect cells from a mixed population containing infected and uninfected cells. Specifically, Spodoptera frugiperda Sf-9 cells infected with the Autographa californica multiple nuclear polyhedrosis virus were treated with a primary antibody specific for the gp64 protein present on the surface of virally-infected cells and a secondary antibody labeled with a fluorochrome. The resulting labeled cells were isolated by using fluorescence-activated cell sorting.     

Apolipoprotein E Bethesda. Isolation and partial characterization of a variant of human apolipoprotein E isolated from very low density lipoproteins

A variant of apolipoprotein E, denoted E Bethesda, has been identified in the plasma of a 72-year-old woman with type III hyperlipoproteinemia. An offspring of the proband also has this variant and type III hyperlipoproteinemia. Apolipoprotein E Bethesda was isolated by preparative isoelectrofocusing followed by preparative SDS-polyacrylamide gel electrophoresis from the very low density lipoproteins of the proband's son. The purity and the identity of the preparation were analyzed by analytical SDS-polyacrylamide gel electrophoresis, two-dimensional gel electrophoresis and by immunochemical analysis. Apolipoprotein E Bethesda migrates in the E 1 position and its electrophoretic mobility is not affected by neuraminidase treatment. The protein is shifted to the E3 position after cysteamine treatment. The amino acid composition revealed the presence of two cysteine residues. These data support the concept that the apolipoprotein E Bethesda allele is derived from a mutation of the E2 or E2* allele.     

Effects of gamma-irradiation on chromosomes of cultured lymphocytes from rheumatoid arthritis patients and their family members

Increased rates of spontaneous or induced chromosome breakage are seen in many types of diseases, including the 'collagen-type' autoimmune diseases. Using a 60Co gamma cell, we irradiated lymphocyte cultures from three related rheumatoid arthritis patients, their immediate family members, and two unrelated rheumatoid arthritis patients. Although these individuals had not shown abnormally high levels of spontaneous chromosome breakage, they did show an abnormal sensitivity to irradiation, which was manifested in several ways. Two of the probands showed induced breakage rates that were twice as high as those seen in controls. In addition, the reduction of mitotic index, due either to increased cell death or to induction of a G2 lag period, was higher in the arthritis group (including non-symptomatic family members) than in the control group. Finally, we observed a high frequency of an unusual type of cell in the arthritis group. These unusual cells resembled c-anaphases seen with extended colcemid treatment, and may indicate that the mitotic apparatus in cells from this group is particularly sensitive to ionizing radiation.     

The phosphohydrolysis of hydroxycinnamoyl-coenzyme a thioesters in plant extracts

In barley seedling extracts, p-coumaroyl-CoA is rapidly hydrolysed to p-coumaroyl-dephospho-CoA, p-coumaroyl-4′-phosphopantetheine and p-coumaroyl-pantetheine. p-Coumaroyl-4′-phosphopantetheine is active as a substrate of agmatine coumaroyl transferase in the formation of p-coumaroyl-agmatine, but p-coumaroyl-pantetheine is inactive. The phosphohydrolysis can be partly inhibited by inorganic pyrophosphate, sodium fluoride and purine nucleotides. A simplified method for the synthesis of N-hydroxysuccinimide esters of hydroxycinnamic acids, used in the synthesis of CoA thioesters, is also described.