Excitation of plasma waves by nonlinear currents induced by a high-frequency electromagnetic pulse

Excitation of plasma waves by nonlinear currents induced by a high-frequency electromagnetic pulse is analyzed within the kinetic approach. It is shown that the most efficient source of plasma waves is the nonlinear current arising due to the gradient of the energy density of the high-frequency field. Generation of plasma waves by the drag current is usually less efficient but not negligibly small at relatively high frequencies of electron–ion collisions. The influence of electron collisions on the excitation of plasma waves by pulses of different duration is described quantitatively.     

Ontogenetic development of electrocorticogram in the rat

Spontaneous electrocorticogram (ECoG) was recorded in frontal (sensorimotor) temporal (auditory) and occipital (visual) cortical regions of 86 male rats (immobilized with d-tubocurarine) aged from 3 days to adulthood. Activity which could be classified as ECoG was for the first time recorded in 5-day-old rats; it was formed by groups of slow waves with unstable frequency intermingled with periods of isoelectric line. Discontinuous ECoG activity was regularly registered even in 10-day-old rats, exceptionally in 12-day-old rats. During further maturation of the continuous ECoG an increase in frequency and an establishment of a basic rhythmic activity synchronous over both hemispheres took place, so that 25- and 30-day-old rats did not differ from the adult ones. Autocorrelagrams and power frequency spectra demonstrated a broad frequency range of the basic rhythm as well as delay in the development of occipital cortical areas in comparison to frontal areas.     

Making waves: pattern formation by a cell-surface-associated signal

Starving Myxococcus xanthus cells organize into two strikingly different spatio-temporal patterns, either rippling or aggregation of cells into fruiting bodies. Formation of both patterns depends on a cell-surface-associated, non-diffusible signal, the C-signal. A key motility parameter modulated by the C-signal during pattern formation is the frequency at which cells reverse their gliding direction, with low and high levels of C-signalling causing an increase and a decrease in the reversal frequency, respectively. Recently, a simple yet elegant mathematical model was proposed to explain the mechanism underlying the non-linear dependence of the reversal frequency on C-signalling levels. The mathematical solution hinges on the introduction of a negative feedback loop into the biochemical circuit that regulates the reversal frequency. This system displays an oscillatory behaviour in which the oscillation frequency depends in a non-monotonic manner on the level of C-signalling. Thus, the biochemical oscillator recapitulates the effect of the C-signal on the reversal frequency. The challenge for biologists now is to test the mathematical model experimentally.     

Travelling waves and pattern formation in a model for fungal development

 Under a variety of conditions, the hyphal density within the expanding outer edge of growing fungal mycelia can be spatially heterogeneous or nearly uniform. We conduct an analysis of a system of reaction-diffusion equations used to model the growth of fungal mycelia and the subsequent development of macroscopic patterns produced by differing hyphal and hence biomass densities. Both local and global results are obtained using analytical and numerical techniques. The emphasis is on qualitative results, including the effects of changes in parameter values on the structure of the solution set. Received 22 November 1995; received in revised form 17 May 1996     

Effects of high-frequency pressure waves applied to upper airway on respiration in central apnea.

We examined the effects of high-frequency (30-Hz) low-pressure oscillations on respiration in nine patients with central sleep apnea. All patients were studied during sleep and wore a nasal mask through which the oscillations were applied. All tests were performed during periods of repetitive central apneas. Respiratory efforts were monitored from the airflow and calibrated Respitrace signals. After several cycles of apnea were monitored, the oscillatory pressures were applied for brief periods (less than 5 s) at the midpoint of the central apneas. All trials in which arousal occurred were discarded, leaving a total of 106 trials in the nine patients. High-frequency oscillation of the upper airway stimulated respiratory effort(s) in 68% of all trials (72 of 106). Apnea length was significantly shortened in four of the nine patients. In one patient with a tracheostomy, the stimulus applied to his isolated upper airway evoked respiratory efforts during central apnea in 13 of 15 trials. We conclude that high-frequency oscillatory pressures applied to the upper airway can stimulate respiratory efforts during central apnea. This response may be mediated by upper airway receptors involved in nonrespiratory airway defense reflexes and may have implications in the treatment of patients with central sleep apnea.     

Analysis of spatiotemporal pattern and quantification of gastrointestinal slow waves caused by anticholinergic drugs

Anticholinergic drugs are well-known to cause adverse effects, such as constipation, but their effects on baseline contractile activity in the gut driven by slow waves is not well established. In a video-based gastrointestinal motility monitoring (GIMM) system, a mouse's small intestine was placed in Krebs solution and recorded using a high definition camera. Untreated controls were recorded for each specimen, then treated with a therapeutic concentration of the drug, and finally, treated with a supratherapeutic dose of the drug. Next, the video clips showing gastrointestinal motility were processed, giving us the segmentation motions of the intestine, which were then converted via Fast Fourier Transform (FFT) into their respective frequency spectrums. These contraction quantifications were analyzed from the video recordings under standardised conditions to evaluate the effect of drugs. Six experimental trials were included with benztropine and promethazine treatments. Only the supratherapeutic dose of benztropine was shown to significantly decrease the amplitude of contractions; at therapeutic doses of both drugs, neither frequency nor amplitude was significantly affected. We have demonstrated that intestinal slow waves can be analyzed based on the colonic frequency or amplitude at a supratherapeutic dose of the anticholinergic medications. More research is required on the effects of anticholinergic drugs on these slow waves to ascertain the true role of ICC in neurologic control of gastrointestinal motility.     

Mitotic waves and embryonic pattern formation: No correlation inCallosobruchus (Coleoptera)

Summary In early insect embryogenesis, mitosis (which is not accompanied by cell division) often starts at one or both egg poles and spreads like a wave over the egg. Relationships between these waves and those processes which coordinate spatial cell differentiation have been proposed. One possibility is that the egg region which has a slower mitotic rate may become temporally advanced in differentiation because of its longer interphase periods, so that the egg becomes polarized (Agrell 1962). Alternatively, the mitotic waves might reflect the position of different determined states (Kauffman 1973). We investigated the mitotic waves inCallosobruchus eggs, treated to produce 20% partially reversed segment sequences (double abdomens). In normal eggs, mitotic waves move predominantly from anterior to posterior whereas in treated eggs, the reversed posterior to anterior orientation was predominant. Despite this, we concluded that mitotic waves do not reflect processes involved in the specification of segment position because the reversal of mitotic waves was more than twice as frequent as the reversal of segment sequence and because they occurred in various control experiments in which there was no reversal of segment sequence.     

Travelling waves in a tissue interaction model for skin pattern formation

Tissue interaction plays a major role in many morphogenetic processes, particularly those associated with skin organ primordia. We examine travelling wave solutions in a tissue interaction model for skin pattern formation which is firmly based on the known biology. From a phase space analysis we conjecture the existence of travelling waves with specific wave speeds. Subsequently, analytical approximations to the wave profiles are derived using perturbation methods. We then show numerically that such travelling wave solutions do exist and that they are in good agreement with our analytical results. Finally, the biological implications of our analysis are discussed.     

Spatial pattern analysis in forest dynamics: deviation from power law and direction of regeneration waves

Grid-based models have been used to understand spatial heterogeneity of the vegetation height in forests and to analyze spatio-temporal dynamics of the forest regeneration process. In this report, we present two methods of identifying lattice models when spatio-temporal data are given. The first method detects directionality of regeneration waves based on the timing of local disturbance events. The second evaluates the forest pattern by recording the fraction of high and low vegetation areas at multiple spatial scales. We illustrate these methods by applying them to patterns generated using three simple stochastic lattice models: (1) two-state model, distinguishing sites with high and low vegetation, (2) three-state model, in which sites can be in an additional disturbed state, and (3) Shimagare model, which considers a continuous range of states. The combination of the two methods provides efficient means of distinguishing the models. The first method has a more direct ecological meaning, while the second is useful when forest data are limited in time.     

A precisely timed asynchronous pattern of ON and OFF retinal ganglion cell activity during propagation of retinal waves

Patterns of coordinated spontaneous activity have been proposed to guide circuit refinement in many parts of the developing nervous system. It is unclear, however, how such patterns, which are thought to indiscriminately synchronize nearby cells, could provide the cues necessary to segregate functionally distinct circuits within overlapping cell populations. Here, we report that glutamatergic retinal waves possess a substructure in the bursting of neighboring retinal ganglion cells with opposite light responses (ON or OFF). Within a wave, cells fire repetitive nonoverlapping bursts in a fixed order: ON before OFF. This pattern is absent from cholinergic waves, which precede glutamate-dependent activity, providing a developmental sequence of distinct activity-encoded cues. Asynchronous bursting of ON and OFF retinal ganglion cells depends on inhibition between these parallel pathways. Similar asynchronous activity patterns could arise throughout the nervous system, as inhibition matures and might help to separate connections of functionally distinct subnetworks.