Time-dependent analysis of an N2O gasdynamic laser

A simplified two-temperature model is presented for the vibrational energy levels of the N2O and N2 molecules of an N2O-N2-He gasdynamic laser (GDL), and the governing equations for the unsteady flow of the gas mixture in a convergent-divergent contour nozzle are solved using a time-dependent numerical technique. Final steady-state distributions are obtained for vibrational temperatures, population inversion, and the small-signal laser gain along the nozzle. It is demonstrated that, for plenum temperatures lower than 1200 K, an N2O GDL such as the present is more efficient than a CO2 GDL in identical operating conditions

On the L2 stability of linear multidimensional time varying systems

This paper analyzes the L2 stability of solutions of systems with time-varying coefficients of the form [A + C(t)]x′ = [B + D(t)]x + u, where A, B, C, D are matrices. Following proof of a lemma, the main result is derived, according to which the system is L2 stable if the eigenvalues of the coefficient matrices are related in a simple way. A corollary of the theorem dealing with small periodic perturbations of constant coefficient systems is then proved. The paper concludes with two illustrative examples, both of which deal with the attitude dynamics of a rigid, axisymmetric, spinning satellite in an eccentric orbit, subject to gravity gradient torques.

Bounded-input/bounded-output stability of linear multidimensional time- varying systems

The present study of the stability of systems governed by a linear multidimensional time-varying equation, which are encountered in spacecraft dynamics, economics, demographics, and biological systems, gives attention the lemma dealing with L(inf) stability of an integral equation that results from the differential equation of the system under consideration. Using the proof of this lemma, the main result on L(inf) stability is derived according; a corollary of the theorem deals with constant coefficient systems perturbed by small periodic terms. (O.C.)

Temperature- and pressure-dependent study of Cl-35 NQR frequency and spin lattice relaxation time in 2,3-dichloroanisole

The temperature and pressure dependence of Cl-35 NQR frequency and spin lattice relaxation time (T-1) were investigated in 2,3-dichloroanisole. Two NQR signals were observed throughout the temperature and pressure range studied. T-1 were measured in the temperature range from 77 to 300 K and from atmospheric pressure to 5 kbar. Relaxation was found to be due to the torsional motion of the molecule and also reorientation f motion of the CH3 group. T-1 versus temperature data were analyzed on the basis of Woessner and Gutowsky model, and the activation energy for the reorientation of the CH3 group was estimated. The temperature dependence of the average torsional lifetimes of the molecules and the transition probabilities were also obtained. NQR frequency shows a nonlinear behavior with pressure, indicating both dynamic and static effects of pressure. The pressure coefficients were observed to be positive for both the lines. A thermodynamic analysis of the data was carried out to determine the constant volume temperature coefficients of the NQR frequency. The variation of spin lattice time with pressure was very small, showing that the relaxation is mainly due to the torsional motions of the molecules. Copyright (C) 2010 John Wiley & Sons, Ltd.

Nonlinear measures of heart rate time series: influence of posture and controlled breathing

In this study, we investigated measures of nonlinear dynamics and chaos theory in regards to heart rate variability in 27 normal control subjects in supine and standing postures, and 14 subjects in spontaneous and controlled breathing conditions. We examined minimum embedding dimension (MED), largest Lyapunov exponent (LLE) and measures of nonlinearity (NL) of heart rate time series. MED quantifies the system's complexity, LLE predictability and NL, a measure of deviation from linear processes. There was a significant decrease in complexity (P<0.00001), a decrease in predictability (P<0.00001) and an increase in nonlinearity (P=0.00001) during the change from supine to standing posture. Decrease in MED, and increases in NL score and LLE in standing posture appear to be partly due to an increase in sympathetic activity of the autonomous nervous system in standing posture. An improvement in predictability during controlled breathing appears to be due to the introduction of a periodic component. (C) 2000 published by Elsevier Science B.V.

Developmental-like responses in injured mature central neurons

Traumatic insults to the central nervous system are frequently followed by profound and irreversible neuronal loss as well as the inability of the damaged neurons to regenerate. One of the major therapeutic challenges is to increase the amount of surviving neurons after trauma. Thus it is crucial to understand how injury affects neuronal responses and which conditions are optimal for survival to prevent neuronal loss. During development neuronal survival is thought to be dependent on the competition for the availability of survival-promoting molecules called neurotrophic factors. Much less is known on the survival mechanisms of mature neurons under traumatic conditions. Increasing amount of evidence points towards the possibility that after injury neuronal responses might aquire some developmental characteristics. One of the important examples is the change in the responses to the neurotransmitter GABA: it is inhibitory in the intact mature neurons, but can induce excitation during development and after trauma. An important step in the maturation of GABAergic transmission in the CNS is the developmental shift in the action of GABAA receptor from depolarization in immature neurons to hyperpolarization in mature neurons. GABAA-mediated responses are tightly linked to the homeostasis of the chloride anion (Cl-), which in neurons is mainly regulated by Na+-K+-2Cl- cotransporter NKCC1 and K+-Cl- cotransporter KCC2. Trauma-induced functional downregulation of KCC2 promotes a shift from hyperpolarizing GABAA-mediated responses to depolarizing. Other important consequences of neuronal trauma are the emergence of dependency of central neurons on brain-derived neuro¬trophic factor (BDNF) for survival, as well as the upregulation of neurotrophin receptor p75NTR. Our aim was to answer the question whether these post-traumatic events are interrelated, and whether the regulation of BDNF and KCC2 expression is different under traumatic conditions and in intact neurons. To study responses of injured mature central neurons, we used an in vitro and in vivo axotomy models. For in vitro studies, we lesioned organotypic hippocampal slices between CA3 and CA1 regions, which resulted in selective axotomy of the CA3 neurons and denervation of the CA1 neurons. Some experiments were repeated in vivo by lesioning the neurons of the corticospinal tract at the internal capsule level, or by lesioning spinal motoneurons at the ventral root. We show that intact mature neurons do not require BDNF for survival, whereas in axotomized neurons apoptosis is induced upon BDNF deprivation. We further show that post-traumatic dependency on BDNF is mediated by injury-induced upregulation of p75NTR. Post-traumatic increase in p75NTR is induced by GABAA-mediated depolarization, consequent opening of voltage-gated Ca2+ channels, and the activation of Rho kinase ROCK. Thus, post-traumatic KCC2 downregulation leads to the dependency on BDNF through the induction of p75NTR upregulation. Neurons that survive after axotomy over longer period of time lose BDNF dependency and regain normal KCC2 levels. This phenomenon is promoted by BDNF itself, since after axotomy contrary to normal conditions KCC2 is upregulated by BDNF. The developmentally important thyroid hormone thyroxin regulates BDNF expression during development. We show that in mature intact neurons thyroxin downregulates BDNF, whereas after axotomy thyroxin upregulates BDNF. The elevation of BDNF expression by thyroxin promoted survival of injured neurons. In addition, thyroxin also enhanced axonal regeneration and promoted the regaining of normal levels of KCC2. Thus we show that this hormone acts at several levels on the axotomy-initiated chain of events described in the present work, and could be a potential therapeutic agent for the injured neurons. We have also characterized a previously unknown downregulatory interaction between thyroxin and KCC2 in intact neurons. In conclusion, we identified several important interactions at the neurotrophin-protein and hormone-neurotrophin level that acquire immature-like characteristics after axotomy and elucidated an important part of the mechanism by which axotomy leads to the requirement of BDNF trophic support. Based on these findings, we propose a new potential therapeutic strategy where developmentally crucial agents could be used to enhance survival and regeneration of axotomized mature central neurons.

Real-Time PCR : A Molecular Approach to Investigate the Role of Intestinal Microbiota in the Pathophysiology of Irritable Bowel Syndrome

Irritable bowel syndrome (IBS) is a common multifactorial functional intestinal disorder, the pathogenesis of which is not completely understood. Increasing scientific evidence suggests that microbes are involved in the onset and maintenance of IBS symptoms. The microbiota of the human gastrointestinal (GI) tract constitutes a massive and complex ecosystem consisting mainly of obligate anaerobic microorganisms making the use of culture-based methods demanding and prone to misinterpretation. To overcome these drawbacks, an extensive panel of species- and group-specific assays for an accurate quantification of bacteria from fecal samples with real-time PCR was developed, optimized, and validated. As a result, the target bacteria were detectable at a minimum concentration range of approximately 10 000 bacterial genomes per gram of fecal sample, which corresponds to the sensitivity to detect 0.000001% subpopulations of the total fecal microbiota. The real-time PCR panel covering both commensal and pathogenic microorganisms was assessed to compare the intestinal microbiota of patients suffering from IBS with a healthy control group devoid of GI symptoms. Both the IBS and control groups showed considerable individual variation in gut microbiota composition. Sorting of the IBS patients according to the symptom subtypes (diarrhea, constipation, and alternating predominant type) revealed that lower amounts of Lactobacillus spp. were present in the samples of diarrhea predominant IBS patients, whereas constipation predominant IBS patients carried increased amounts of Veillonella spp. In the screening of intestinal pathogens, 17% of IBS samples tested positive for Staphylococcus aureus, whereas no positive cases were discovered among healthy controls. Furthermore, the methodology was applied to monitor the effects of a multispecies probiotic supplementation on GI microbiota of IBS sufferers. In the placebo-controlled double-blind probiotic intervention trial of IBS patients, each supplemented probiotic strain was detected in fecal samples. Intestinal microbiota remained stable during the trial, except for Bifidobacterium spp., which increased in the placebo group and decreased in the probiotic group. The combination of assays developed and applied in this thesis has an overall coverage of 300-400 known bacterial species, along with the number of yet unknown phylotypes. Hence, it provides good means for studying the intestinal microbiota, irrespective of the intestinal condition and health status. In particular, it allows screening and identification of microbes putatively associated with IBS. The alterations in the gut microbiota discovered here support the hypothesis that microbes are likely to contribute to the pathophysiology of IBS. The central question is whether the microbiota changes described represent the cause for, rather than the effect of, disturbed gut physiology. Therefore, more studies are needed to determine the role and importance of individual microbial species or groups in IBS. In addition, it is essential that the microbial alterations observed in this study will be confirmed using a larger set of IBS samples of different subtypes, preferably from various geographical locations.

Interplay between multiple length and time scales in complex chemical systems

Processes in complex chemical systems, such as macromolecules, electrolytes, interfaces, micelles and enzymes, can span several orders of magnitude in length and time scales. The length and time scales of processes occurring over this broad time and space window are frequently coupled to give rise to the control necessary to ensure specificity and the uniqueness of the chemical phenomena. A combination of experimental, theoretical and computational techniques that can address a multiplicity of length and time scales is required in order to understand and predict structure and dynamics in such complex systems. This review highlights recent experimental developments that allow one to probe structure and dynamics at increasingly smaller length and time scales. The key theoretical approaches and computational strategies for integrating information across time-scales are discussed. The application of these ideas to understand phenomena in various areas, ranging from materials science to biology, is illustrated in the context of current developments in the areas of liquids and solvation, protein folding and aggregation and phase transitions, nucleation and self-assembly.