Brownian motion in short range random potentials

A numerical study of Brownian motion of noninteracting particles in random potentials is presented. The dynamics are modeled by Langevin equations in the high friction limit. The random potentials are Gaussian distributed and short ranged. The simulations are performed in one and two dimensions. Different dynamical regimes are found and explained. Effective subdiffusive exponents are obtained and commented on.

An analytical approach to sorting in periodic and random potentials

There has been a recent revolution in the ability to manipulate micrometer-sized objects on surfaces patterned by traps or obstacles of controllable configurations and shapes. One application of this technology is to separate particles driven across such a surface by an external force according to some particle characteristic such as size or index of refraction. The surface features cause the trajectories of particles driven across the surface to deviate from the direction of the force by an amount that depends on the particular characteristic, thus leading to sorting. While models of this behavior have provided a good understanding of these observations, the solutions have so far been primarily numerical. In this paper we provide analytic predictions for the dependence of the angle between the direction of motion and the external force on a number of model parameters for periodic as well as random surfaces. We test these predictions against exact numerical simulations.

Giant acceleration of free diffusion by use of titled periodic potentials

The effective diffusion coefficient for the overdamped Brownian motion in a tilted periodic potential is calculated in closed analytical form. Universality classes and scaling properties for weak thermal noise are identified near the threshold tilt where deterministic running solutions set in. In this regime the diffusion may be greatly enhanced, as compared to free thermal diffusion with, for a realistic experimental setup, an enhancement of up to 14 orders of magnitude.

A CT-based study investigating the relationship between pedicle screw placement and stimulation threshold of compound muscle action potentials measured by intraoperative neurophysiological monitoring.

PURPOSE: Neurophysiological monitoring aims to improve the safety of pedicle screw placement, but few quantitative studies assess specificity and sensitivity. In this study, screw placement within the pedicle is measured (post-op CT scan, horizontal and vertical distance from the screw edge to the surface of the pedicle) and correlated with intraoperative neurophysiological stimulation thresholds. METHODS: A single surgeon placed 68 thoracic and 136 lumbar screws in 30 consecutive patients during instrumented fusion under EMG control. The female to male ratio was 1.6 and the average age was 61.3 years (SD 17.7). Radiological measurements, blinded to stimulation threshold, were done on reformatted CT reconstructions using OsiriX software. A standard deviation of the screw position of 2.8 mm was determined from pilot measurements, and a 1 mm of screw-pedicle edge distance was considered as a difference of interest (standardised difference of 0.35) leading to a power of the study of 75 % (significance level 0.05). RESULTS: Correct placement and stimulation thresholds above 10 mA were found in 71 % of screws. Twenty-two percent of screws caused cortical breach, 80 % of these had stimulation thresholds above 10 mA (sensitivity 20 %, specificity 90 %). True prediction of correct position of the screw was more frequent for lumbar than for thoracic screws. CONCLUSION: A screw stimulation threshold of >10 mA does not indicate correct pedicle screw placement. A hypothesised gradual decrease of screw stimulation thresholds was not observed as screw placement approaches the nerve root. Aside from a robust threshold of 2 mA indicating direct contact with nervous tissue, a secondary threshold appears to depend on patients' pathology and surgical conditions.

Soil Water Potentials and Capsicum annuum L. under Salinity

ABSTRACT Investigations into water potentials in the soil-plant system are of great relevance in environments with abiotic stresses, such as salinity and drought. An experiment was developed using bell pepper in a Neossolo Flúvico (Fluvent) irrigated with water of six levels of electrical conductivity (0, 1, 3, 5, 7 and 9 dS m-1) by using exclusively NaCl and by simulating the actual condition (using a mixture of salts). The treatments were arranged in a randomized block design, in a 6 × 2 factorial arrangement, with four replicates. Soil matric (Ψm) and osmotic (Ψo) potentials were determined 70 days after transplanting (DAT). Soil total potential was considered as the sum of Ψm and Ψo. Leaf water (obtained with the Scholander Chamber) and osmotic potentials were determined before sunrise (predawn) and at noon at 42 and 70 DAT. There were no significant differences between the salt sources used in the irrigation water for soil and plant water potentials. The supply of salts to the soil through irrigation water was the main factor responsible for the decrease in Ψo in the soil and in bell pepper leaves. The total potential of bell pepper at predawn reached values of -1.30 and -1.33 MPa at 42 and 70 DAT, respectively, when water of 9 dS m-1 was used in the irrigation. The total potential at noon reached -2.19 MPa. The soil subjected to the most saline treatment reached a water potential of -1.20 MPa at 70 DAT. There was no predawn equilibrium between the total water potentials of the soil and the plant, indicating that soil potential cannot be considered similar to that of the plant. The determination of the osmotic potential in the soil solution should not be neglected in saline soils, since it has strong influence on the calculation of the total potential.

Pure sensory neuropathy in patients with primary Sjogren's syndrome: clinical, immunological and electromyographic findings

A pure sensory neuropathy caused by lymphocytic infiltration of the dorsal root ganglia has been reported in a few patients with Sjögren's syndrome. The clinical, immunological, and electromyographic findings of five patients with this type of neuropathy and primary Sjögren's syndrome were reviewed. Typical clinical indications were the presence of a chronic asymmetrical sensory deficit, initial disease in the hands with a predominant loss of the vibratory and joint position senses, and an association with Adie's pupil syndrome or trigeminal sensory neuropathy. The simultaneous impairment of the central and peripheral evoked cortical potentials suggested that there was a lesion of the neuronal cell body. The neuropathy preceded the diagnosis of Sjögren's syndrome in four patients. Four patients were positive for Ro antibodies, but systemic vasculitis or malignancy was not found after a mean follow up of six years. These findings indicate that in patients with a sensory neuropathy the diagnosis of Sjögren's syndrome has to be considered, even if the patient denies the presence of sicca symptoms, and that appropriate tests must be carried out.

P2Y1 receptor-evoked glutamate exocytosis from astrocytes: control by tumor necrosis factor-alpha and prostaglandins.

ATP, released by both neurons and glia, is an important mediator of brain intercellular communication. We find that selective activation of purinergic P2Y1 receptors (P2Y1R) in cultured astrocytes triggers glutamate release. By total internal fluorescence reflection imaging of fluorescence-labeled glutamatergic vesicles, we document that such release occurs by regulated exocytosis. The stimulus-secretion coupling mechanism involves Ca2+ release from internal stores and is controlled by additional transductive events mediated by tumor necrosis factor-alpha (TNFalpha) and prostaglandins (PG). P2Y1R activation induces release of both TNFalpha and PGE2 and blocking either one significantly reduces glutamate release. Accordingly, astrocytes from TNFalpha-deficient (TNF(-/-)) or TNF type 1 receptor-deficient (TNFR1(-/-)) mice display altered P2Y1R-dependent Ca2+ signaling and deficient glutamate release. In mixed hippocampal cultures, the P2Y1R-evoked process occurs in astrocytes but not in neurons or microglia. P2Y1R stimulation induces Ca2+ -dependent glutamate release also from acute hippocampal slices. The process in situ displays characteristics resembling those in cultured astrocytes and is distinctly different from synaptic glutamate release evoked by high K+ stimulation as follows: (a) it is sensitive to cyclooxygenase inhibitors; (b) it is deficient in preparations from TNF(-/-) and TNFR1(-/-) mice; and (c) it is inhibited by the exocytosis blocker bafilomycin A1 with a different time course. No glutamate release is evoked by P2Y1R-dependent stimulation of hippocampal synaptosomes. Taken together, our data identify the coupling of purinergic P2Y1R to glutamate exocytosis and its peculiar TNFalpha- and PG-dependent control, and we strongly suggest that this cascade operates selectively in astrocytes. The identified pathway may play physiological roles in glial-glial and glial-neuronal communication.

Age-related differences on event-related potentials and brain rhythm oscillations during working memory activation.

Previous functional imaging studies have pointed to the compensatory recruitment of cortical circuits in old age in order to counterbalance the loss of neural efficiency and preserve cognitive performance. Recent electroencephalographic (EEG) analyses reported age-related deficits in the amplitude of an early positive-negative working memory (PN(wm)) component as well as changes in working memory (WM)-load related brain oscillations during the successful performance of the n-back task. To explore the age-related differences of EEG activation in the face of increasing WM demands, we assessed the PN(wm) component area, parietal alpha event-related synchronization (ERS) as well as frontal theta ERS in 32 young and 32 elderly healthy individuals who successfully performed a highly WM demanding 3-back task. PN(wm) area increased with higher memory loads (3- and 2-back > 0-back tasks) in younger subjects. Older subjects reached the maximal values for this EEG parameter during the less WM demanding 0-back task. They showed a rapid development of an alpha ERS that reached its maximal amplitude at around 800 ms after stimulus onset. In younger subjects, the late alpha ERS occurred between 1,200 and 2,000 ms and its amplitude was significantly higher compared with elders. Frontal theta ERS culmination peak decreased in a task-independent manner in older compared with younger cases. Only in younger individuals, there was a significant decrease in the phasic frontal theta ERS amplitude in the 2- and 3-back tasks compared with the detection and 0-back tasks. These observations suggest that older adults display a rapid mobilization of their neural generators within the parietal cortex to manage very low demanding WM tasks. Moreover, they are less able to activate frontal theta generators during attentional tasks compared with younger persons.

Self-potentials in partially saturated media: the importance of explicit modeling of electrode effects

Self-potential (SP) data are of interest to vadose zone hydrology because of their direct sensitivity to water flow and ionic transport. There is unfortunately little consensus in the literature about how to best model SP data under partially saturated conditions, and different approaches (often supported by one laboratory data set alone) have been proposed. We argue that this lack of agreement can largely be traced to electrode effects that have not been properly taken into account. A series of drainage and imbibition experiments were considered in which we found that previously proposed approaches to remove electrode effects were unlikely to provide adequate corrections. Instead, we explicitly modeled the electrode effects together with classical SP contributions using a flow and transport model. The simulated data agreed overall with the observed SP signals and allowed decomposing the different signal contributions to analyze them separately. After reviewing other published experimental data, we suggest that most of them include electrode effects that have not been properly taken into account. Our results suggest that previously presented SP theory works well when considering the modeling uncertainties presently associated with electrode effects. Additional work is warranted to not only develop suitable electrodes for laboratory experiments but also to assure that associated electrode effects that appear inevitable in longer term experiments are predictable, so that they can be incorporated into the modeling framework.

Effects of muscle fibre shortening on the characteristics of surface motor unit potentials.

Traditionally, studies dealing with muscle shortening have concentrated on assessing its impact on conduction velocity, and to this end, electrodes have been located between the end-plate and tendon regions. Possible morphologic changes in surface motor unit potentials (MUPs) as a result of muscle shortening have not, as yet, been evaluated or characterized. Using a convolutional MUP model, we investigated the effects of muscle shortening on the shape, amplitude, and duration characteristics of MUPs for different electrode positions relative to the fibre-tendon junction and for different depths of the MU in the muscle (MU-to-electrode distance). It was found that the effects of muscle shortening on MUP morphology depended not only on whether the electrodes were between the end-plate and the tendon junction or beyond the tendon junction, but also on the specific distance to this junction. When the electrodes lie between the end-plate and tendon junction, it was found that (1) the muscle shortening effect is not important for superficial MUs, (2) the sensitivity of MUP amplitude to muscle shortening increases with MU-to-electrode distance, and (3) the amplitude of the MUP negative phase is not affected by muscle shortening. This study provides a basis for the interpretation of the changes in MUP characteristics in experiments where both physiological and geometrical aspects of the muscle are varied.

Modulatory effects of acid-sensing ion channels on action potential generation in hippocampal neurons.

Extracellular acidification has been shown to generate action potentials (APs) in several types of neurons. In this study, we investigated the role of acid-sensing ion channels (ASICs) in acid-induced AP generation in brain neurons. ASICs are neuronal Na(+) channels that belong to the epithelial Na(+) channel/degenerin family and are transiently activated by a rapid drop in extracellular pH. We compared the pharmacological and biophysical properties of acid-induced AP generation with those of ASIC currents in cultured hippocampal neurons. Our results show that acid-induced AP generation in these neurons is essentially due to ASIC activation. We demonstrate for the first time that the probability of inducing APs correlates with current entry through ASICs. We also show that ASIC activation in combination with other excitatory stimuli can either facilitate AP generation or inhibit AP bursts, depending on the conditions. ASIC-mediated generation and modulation of APs can be induced by extracellular pH changes from 7.4 to slightly <7. Such local extracellular pH values may be reached by pH fluctuations due to normal neuronal activity. Furthermore, in the plasma membrane, ASICs are localized in close proximity to voltage-gated Na(+) and K(+) channels, providing the conditions necessary for the transduction of local pH changes into electrical signals.

A tutorial review of electrical neuroimaging from group-average to single-trial event-related potentials.

This tutorial review details some of the recent advances in signal analyses applied to event-related potential (ERP) data. These "electrical neuroimaging" analyses provide reference-independent measurements of response strength and response topography that circumvent statistical and interpretational caveats of canonical ERP analysis methods while also taking advantage of the greater information provided by high-density electrode montages. Electrical neuroimaging can be applied across scales ranging from group-averaged ERPs to single-subject and single-trial datasets. We illustrate these methods with a tutorial dataset and place particular emphasis on their suitability for studies of clinical and/or developmental populations.

In situ fluorescence imaging of glutamate-evoked mitochondrial Na+ responses in astrocytes.

Astrocytes can experience large intracellular Na+ changes following the activation of the Na+-coupled glutamate transport. The present study investigated whether cytosolic Na+ changes are transmitted to mitochondria, which could therefore influence their function and contribute to the overall intracellular Na+ regulation. Mitochondrial Na+ (Na+(mit)) changes were monitored using the Na+-sensitive fluorescent probe CoroNa Red (CR) in intact primary cortical astrocytes, as opposed to the classical isolated mitochondria preparation. The mitochondrial localization and Na+ sensitivity of the dye were first verified and indicated that it can be safely used as a selective Na+(mit) indicator. We found by simultaneously monitoring cytosolic and mitochondrial Na+ using sodium-binding benzofuran isophthalate and CR, respectively, that glutamate-evoked cytosolic Na+ elevations are transmitted to mitochondria. The resting Na+(mit) concentration was estimated at 19.0 +/- 0.8 mM, reaching 30.1 +/- 1.2 mM during 200 microM glutamate application. Blockers of conductances potentially mediating Na+ entry (calcium uniporter, monovalent cation conductances, K+(ATP) channels) were not able to prevent the Na+(mit) response to glutamate. However, Ca2+ and its exchange with Na+ appear to play an important role in mediating mitochondrial Na+ entry as chelating intracellular Ca2+ with BAPTA or inhibiting Na+/Ca2+ exchanger with CGP-37157 diminished the Na+(mit) response. Moreover, intracellular Ca2+ increase achieved by photoactivation of caged Ca2+ also induced a Na+(mit) elevation. Inhibition of mitochondrial Na/H antiporter using ethylisopropyl-amiloride caused a steady increase in Na+(mit) without increasing cytosolic Na+, indicating that Na+ extrusion from mitochondria is mediated by these exchangers. Thus, mitochondria in intact astrocytes are equipped to efficiently sense cellular Na+ signals and to dynamically regulate their Na+ content.

Neurophysiological effects of vasopressin and oxytocin in the central amygdala of the rat : a potential mechanism for the opposite modulation of anxiety and fear behavior

Abstract The amygdala is a group of nuclei in the temporal lobe of the brain that plays a crucial role in anxiety and fear behavior. Sensory information converges in the basolateral and lateral nuclei of the amygdala, which have been the first regions in the brain where the acquisition of new (fear) memories has been associated with long term changes in synaptic transmission. These nuclei, in turn, project to the central nucleus of the amygdala. The central amygdala, through its extensive projections to numerous nuclei in the midbrain and brainstem, plays a pivotal role in the orchestration of the rapid autonomic and endocrine fear responses. In the central amygdala a large number of neuropeptides and receptors is expressed, among which high levels of vasopressin and oxytocin receptors. Local injections of these peptides into the amygdala modulate several aspects of the autonomic fear reaction. Interestingly, their effects are opposing: vasopressin tends to enhance the fear reactions, whereas oxytocin has anxiolytic effects. In order to investigate the neurophysiological mechanisms that could underlie this opposing modulation of the fear behavior, we studied the effects of vasopressin and oxytocin on the neuronal activity in an acute brain slice preparation of the rat central amygdala. We first assessed the effects of vasopressin and oxytocin on the spontaneous activity of central amygdala neurons. Extracellular single unit recordings revealed two major populations of neurons: a majority of neurons was excited by vasopressin and inhibited by oxytocin, whereas other neurons were only excited by oxytocin receptor activation. The inhibitory effect of oxytocin could be reduced by the block of GABAergic transmission, whereas the excitatory effects of vasopressin and oxytocin were not affected. In a second step we identified the cellular mechanisms for the excitatory effects of both peptides as well as the morphological and biochemical mechanisms underlying the opposing effects, by using sharp electrode recordings together with intracellular labelings. We revealed that oxytocin-excited neurons are localized in the lateral part (CeL) whereas vasopressin excited cells are found in the medial part of the central amygdala (CeM). The tracing of the neuronal morphology showed that the axon collaterals of the oxytocin-excited neurons project from the CeL, far into the CeM. Combined immunohistochemical stainings indicated that these projections are GABAergic. In the third set of experiments we investigated the synaptic interactions between the two identified cell populations. Whole-cell patch-clamp recordings in the CeM revealed that the inhibitory effect of oxytocin was caused by the massive increase of inhibitory GABAergic currents, which was induced by the activation of CeL neurons. Finally, the effects of vasopressin and oxytocin on evoked activity were investigated. We found on the one hand, that the probability of evoking action potentials in the CeM by stimulating the basolateral amygdala afferents was enhanced under vasopressin, whereas it decreased under oxytocin. On the other hand, the impact of cortical afferents stimulation on the CeL neurons was enhanced by oxytocin application. Taken together, these findings have allowed us to develop a model, in which the opposing behavioral effects of vasopressin and oxytocin are caused by a selective activation of two distinct populations of neurons in the GABAergic network of the central amygdala. Our model could help to develop new anxiolytic treatments, which modulate simultaneously both receptor systems. By acting on a GABAergic network, such treatments can further be tuned by combinations with classical benzodiazepines. Résumé: L'amygdale est un groupe de noyaux cérébraux localisés dans le lobe temporal. Elle joue un rôle essentiel dans les comportements liés à la peur et l'anxiété. L'information issue des aires sensorielles converge vers les noyaux amygdaliens latéraux et basolatéraux, qui sont les projections vers différents noyaux du tronc cérébral et de l'hypothalamus, joue un rôle clef premières régions dans lesquelles il a été démontré que l'acquisition d'une nouvelle mémoire (de peur) était associée à des changements à long terme de la transmission synaptique. Ces noyaux envoient leurs projections sur l'amygdale centrale, qui à travers ses propres dans l'orchestration des réponses autonomes et endocrines de peur. Le contrôle de l'activité neuronale dans l'amygdale centrale module fortement la réaction de peur. Ainsi, un grand nombre de neuropeptides sont spécifiquement exprimés dans l'amygdale centrale et un bon nombre d'entre eux interfère dans la réaction de peur et d'anxiété. Chez les rats, une forte concentration de récepteurs à l'ocytocine et à la vasopressine est exprimée dans le noyau central, et l'injection de ces peptides dans l'amygdale influence différents aspects de la réaction viscérale associée à la peur. Il est intéressant de constater que ces peptides exercent des effets opposés. Ainsi, la vasopressine augmente la réaction de peur alors que l'ocytocine a un effet anxiolytique. Afin d'investiguer les mécanismes neurophysiologiques responsables de ces effets opposés, nous avons étudié l'effet de la vasopressine et de l'ocytocine sur l'activité neuronale de préparations de tranches de cerveau de rats contenant entre autres de l'amygdale centrale. Tout d'abord, notre intérêt s'est porté sur les effets de ces deux neuropeptides sur l'activité spontanée dans l'amygdale centrale. Des enregistrements extracellulaires ont révélé différentes populations de neurones ; une majorité était excitée par la vasopressine et inhibée par l'ocytocine ; d'autres étaient seulement excités par l'activation du récepteur à l'ocytocine. L'effet inhibiteur de l'ocytocine a pu être réduit par l'inhibition de la transmission GABAergique, alors que ses effets excitateurs n'étaient pas affectés. Dans un deuxième temps, nous avons identifié les mécanismes cellulaires responsables de l'effet excitateur de ces deux peptides et analysé les caractéristiques morphologiques et biochimiques des neurones affectés. Des enregistrements intracellulaires ont permis de localiser les neurones excités par l'ocytocine dans la partie latérale de l'amygdale centrale (CeL), et ceux excités par la vasopressine dans sa partie médiale (CeM). Le traçage morphologique des neurones a révélé que les collatérales axonales des cellules excitées par l'ocytocine projetaient du CeL loin dans le CeM. De plus, des colorations immuno-histochimiques ont révélé que ces projections étaient GABAergiques. Dans un troisième temps, nous avons étudié les interactions synaptiques entre ces deux populations de cellules. Les enregistrements en whole-cell patch-clamp dans le CeM ont démontré que les effets inhibiteurs de l'ocytocine résultaient de l'augmentation massive des courants GABAergique résultant de l'activation des neurones dans le CeL. Finalement, les effets de l'ocytocine et de la vasopressine sur l'activité évoquée ont été étudiés. Nous avons pu montrer que la probabilité d'évoquer un potentiel d'action dans le CeM, par stimulation de l'amygdale basolatérale, était augmentée sous l'effet de la vasopressine et diminuée sous l'action de l'ocytocine. Par contre, l'impact de la stimulation des afférences corticales sur les neurones du CeL était augmenté par l'application de l'ocytocine. L'ensemble de ces résultats nous a permis de développer un modèle dans lequel les effets comportementaux opposés de la vasopressine et de l'ocytocine sont causés par une activation sélective des deux différentes populations de neurones dans un réseau GABAergique. Un tel modèle pourrait mener au développement de nouveaux traitements anxiolytiques en modulant l'activité des deux récepteurs simultanément. En agissant sur un réseau GABAergique, les effets d'un tel traitement pourraient être rendus encore plus sélectifs en association avec des benzodiazépines classiques.