Space-charge-limited current in a plane vacuum diode discharged by an electron current pulse

An unsteady discharge of a relativistic vacuum diode is studied analytically. The amplitude and rise time of the discharge current pulse are determined as functions of the input parameters of the problem. It is found that, in a nonrelativistic limit, the maximum attainable amplitude of the discharge current pulse is equal to J_Alim = 9/4J_CL, where J_CL is the vacuum-diode limiting current prescribed by the 3/2 law. The parameters of the dipole moment of the layer formed above the grid anode are found in the nonrelativistic limit.     

Estimating mean response as a function of treatment duration in an observational study, where duration may be informatively censored

After a treatment is found to be effective in a clinical study, attention often focuses on the effect of treatment duration on outcome. Such an analysis facilitates recommendations on the most beneficial treatment duration. In many studies, the treatment duration, within certain limits, is left to the discretion of the investigators. It is often the case that treatment must be terminated prematurely due to an adverse event, in which case a recommended treatment duration is part of a policy that treats patients for a specified length of time or until a treatment-censoring event occurs, whichever comes first. Evaluating mean response for a particular treatment-duration policy from observational data is difficult due to censoring and the fact that it may not be reasonable to assume patients are prognostically similar across all treatment strategies. We propose an estimator for mean response as a function of treatment-duration policy under these conditions. The method uses potential outcomes and embodies assumptions that allow consistent estimation of the mean response. The estimator is evaluated through simulation studies and demonstrated by application to the ESPRIT infusion trial coordinated at Duke University Medical Center.     

Root biomass fraction as a function of growth degree days in wheat

Root, underground and above-ground biomass were measured on various wheat cultivars from 1986 to 1988 in the south-east of France. The results are expressed as root: total (f _r) or underground: total (f _u) biomass fractions. Observed f _r and f _u values are in good agreement with previous results. f _r and f _u decrease steadily from emergence to maturity, with an exponential tendency. When using cumulative growth degree days since emergence relative to cumulative growth degree days until ear emergence () as time scale, f _r and f _u can be expressed as simple functions of % MathType!MTEF!2!1!+-% feaafiart1ev1aaatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLn% hiov2DGi1BTfMBaeXatLxBI9gBaerbd9wDYLwzYbItLDharqqtubsr% 4rNCHbGeaGqiVu0Je9sqqrpepC0xbbL8F4rqqrFfpeea0xe9Lq-Jc9% vqaqpepm0xbba9pwe9Q8fs0-yqaqpepae9pg0FirpepeKkFr0xfr-x% fr-xb9adbaqaaeGaciGaaiaabeqaamaabaabaaGceaqabeaacaWGMb% addaWgaaqaaiaadkhaaeqaamaabmaabaGccqaH4oqCdaahaaWcbeqa% aiaacQcaaaaamiaawIcacaGLPaaakiabg2da9iaaicdacaGGUaGaaG% imaiaaiwdacqGHRaWkcaaIWaGaaiOlaiaaiwdacaaI4aGaamyzamaa% CaaaleqabaGaeyOeI0IaaGymaiaac6cacaaI0aGaaGioaiabeI7aXn% aaCaaameqabaGaaiOkaaaaaaaakeaacaWGMbaddaWgaaqaaiaadwha% aeqaamaabmaabaGccqaH4oqCdaahaaWcbeqaaiaacQcaaaaamiaawI% cacaGLPaaakiabg2da9iaaicdacaGGUaGaaGymaiaaikdacqGHRaWk% caaIWaGaaiOlaiaaiIdacaaI4aGaamyzamaaCaaaleqabaGaeyOeI0% IaaGOmaiaac6cacaaIYaGaaGioaiabeI7aXnaaCaaameqabaGaaiOk% aaaaaaaaaaa!610D!\[\begin{gathered} f_r \left( {\theta ^* } \right) = 0.05 + 0.58e^{ - 1.48\theta ^* } \hfill \\ f_u \left( {\theta ^* } \right) = 0.12 + 0.88e^{ - 2.28\theta ^* } \hfill \\ \end{gathered} \]The incremental root biomass partitioning coefficient, % MathType!MTEF!2!1!+-% feaafiart1ev1aaatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLn% hiov2DGi1BTfMBaeXatLxBI9gBaerbd9wDYLwzYbItLDharqqtubsr% 4rNCHbGeaGqiVu0Je9sqqrpepC0xbbL8F4rqqrFfpeea0xe9Lq-Jc9% vqaqpepm0xbba9pwe9Q8fs0-yqaqpepae9pg0FirpepeKkFr0xfr-x% fr-xb9adbaqaaeGaciGaaiaabeqaamaabaabaaGcbaGaeqySde2aaS% baaSqaaiaadkhaaeqaaOGaeyypa0JaaiikaiaadsgacaWGxbWaaSba% aSqaaiaadkhaaeqaaOGaai4laiaadsgacaWG0bGaaiykaiaac+caca% GGOaGaamizaiaadEfadaWgaaWcbaGaamiDaaqabaGccaGGVaGaamiz% aiaadshacaGGPaaaaa!4834!\[\alpha _r = (dW_r /dt)/(dW_t /dt)\], which describes the net increase in root biomass dW _r over time dt relative to the increase in total biomass (dW _r) over the same time period, has been derived from f and the relative growth rate. Its time course is accurately represented by% MathType!MTEF!2!1!+-% feaafiart1ev1aaatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLn% hiov2DGi1BTfMBaeXatLxBI9gBaerbd9wDYLwzYbItLDharqqtubsr% 4rNCHbGeaGqiVu0Je9sqqrpepC0xbbL8F4rqqrFfpeea0xe9Lq-Jc9% vqaqpepm0xbba9pwe9Q8fs0-yqaqpepae9pg0FirpepeKkFr0xfr-x% fr-xb9adbaqaaeGaciGaaiaabeqaamaabaabaaGcbaGaeqySdegdda% WgaaqaaiaadkhaaeqaamaabmaabaGccqaH4oqCdaahaaWcbeqaaiaa% cQcaaaaamiaawIcacaGLPaaakiabg2da9iabgkHiTiaaicdacaGGUa% GaaGymaiaaiwdacqGHRaWkcaaIWaGaaiOlaiaaiAdacaaIZaGaamyz% amaaCaaaleqabaGaeyOeI0IaaGimaiaac6cacaaI5aGaaGioaiabeI% 7aXnaaCaaameqabaGaaiOkaaaaaaaaaa!4D15!\[\alpha _r \left( {\theta ^* } \right) = - 0.15 + 0.63e^{ - 0.98\theta ^* } \]Under our experimental conditions, with no severe water stresses or nutrient deficiencies, and for our sampling frequency, around 2 weeks, the development scale , is the main factor governing the time courses of f _r, f _u and _r.     

Changes in cell-cycle duration and growth fraction in the shoot meristem of Sinapis during floral transition

The cell-cycle duration and the growth fraction were estimated in the shoot meristem of Sinapis alba L. during the transition from the vegetative to the floral condition. Compared with the vegetative meristem, the cell-cycle length was reduced from 86 to 32 h and the growth fraction, i.e. the proportion of rapidly cycling cells, was increased from 30–40% to 50–60%. These changes were detectable as early as 30 h after the start of the single inductive long day. The faster cell cycle in the evoked meristem was achieved by a shortening of the G1 (pre-DNA synthesis), S (DNA synthesis) and G2 (post-DNA synthesis) phases of the cycle. In both vegetative and evoked meristems, both-the central and peripheral zones were mosaics of rapidly cycling and non-cycling cells, but the growth fraction was always higher in the peripheral zone.Abbreviations G1 pre-DNA synthesis phase - G2 post-DNA synthesis phase - GF growth fraction - M mitosis phase - PLM percentage-labelled-mitoses method - S DNA synthesis phase - TdR thymidine     

The threshold of perception of angular acceleration as a function of duration

The threshold for rotation about the yaw axis was determined for constant acceleration stimuli as a function of their duration in the range from 3 to 25 s. From the torsion-swing model the following theoretical equation can be derived: 1 $$a_{{\text{thr}}} = {C \mathord{\left/ {\vphantom {C {\left[ {1 - \exp \left( { - {{t_s } \mathord{\left/ {\vphantom {{t_s } {\tau _1 }}} \right. \kern-\nulldelimiterspace} {\tau _1 }}} \right)} \right]}}} \right. \kern-\nulldelimiterspace} {\left[ {1 - \exp \left( { - {{t_s } \mathord{\left/ {\vphantom {{t_s } {\tau _1 }}} \right. \kern-\nulldelimiterspace} {\tau _1 }}} \right)} \right]}}$$ , where a _thr=acceleration amplitude at threshold, t _s =duration of the acceleration, τ₁=time constant, C=threshold for very long stimuli. According to this formula the Mulder product (i.e. the product of the threshold acceleration amplitude and the duration of the stimulus) is constant for durations up to 0.3 τ₁. The best fit of this theoretical function to the somatosensory data is found for τ₁=14.5 s, and C=0.22⁰/s ². The time within the Mulder product is constant (about 5s) is doubtless due to the mechanics of the semicircular canals. For the oculogyral data a lower value of τ₁ is found. We do not have any explanation for this lower value.     

The relationship between the inactivating fraction of the asymmetry current and gating of the sodium channel in the squid giant axon

A quantitative comparison between the voltage dependence of the inactivating component of the asymmetrical charge transfer in the squid giant axon and that of the sodium conductance indicates that activation of the sodium system involves either three subunits operating in parallel or a three-step series mechanism. This is confirmed by an examination of the relative timing of the flow of asymmetry and ionic currents during the opening and closing of the sodium channels. In agreement with previous suggestions, inactivation is coupled sequentially to activation. The evidence appears to argue against a trimeric system with three wholly independent subunits and favours a monomeric system that undergoes a complex sequence of conformational changes.     

Sleep duration varies as a function of glutamate and GABA in rat pontine reticular formation

The oral part of the pontine reticular formation (PnO) is a component of the ascending reticular activating system and plays a role in the regulation of sleep and wakefulness. The PnO receives glutamatergic and GABAergic projections from many brain regions that regulate behavioral state. Indirect, pharmacological evidence has suggested that glutamatergic and GABAergic signaling within the PnO alters traits that characterize wakefulness and sleep. No previous studies have simultaneously measured endogenous glutamate and GABA from rat PnO in relation to sleep and wakefulness. The present study utilized in vivo microdialysis coupled on-line to capillary electrophoresis with laser-induced fluorescence to test the hypothesis that concentrations of glutamate and GABA in the PnO vary across the sleep/wake cycle. Concentrations of glutamate and GABA were significantly higher during wakefulness than during non-rapid eye movement sleep and rapid eye movement sleep. Regression analysis revealed that decreases in glutamate and GABA accounted for a significant portion of the variance in the duration of non-rapid eye movement sleep and rapid eye movement sleep episodes. These data provide novel support for the hypothesis that endogenous glutamate and GABA in the PnO contribute to the regulation of sleep duration.     

Excitability of septo-hippocampal axon terminals: changes as a function of the level of neuronal activity

The septo-hippocampal terminals were electrically stimulated at the level of the gyrus dentatus in urethane anesthetized rats and antidromic responses were recorded in the medial septum. The excitability of the terminals was assessed by the threshold of terminal antidromic activation. An increase in the discharge frequency of the septal neurons following a microiontophoretic application of glutamate to their soma induced an increase in the antidromic activation threshold, i.e. a decrease in excitability of the terminals. An application of GABA which inhibited septal neuronal activity, induced a decrease in the antidromic activation threshold, i.e. an increase in the terminal excitability of septo-hippocampal neurons. These results are discussed in the light of the presynaptic autoreceptor hypothesis.     

Changes of DNA ligases in chick neural retina as a function of age

In the course of chick neural retina development, several forms of DNA ligase have been found. During embryonic life the major DNA ligase activity that is found at seven days is form I (8.2 S) which gradually decreases and disappears by 14 days after incubation, whereas form II (6.2 S) increases to reach a maximum at the time of hatching. Form II then decreases reaching a constant level by Day 7 and from that time new slow sedimenting forms also appear (forms III and IV). Form III(2 S) is first detectable at seven days and increases up to 90 days, whereas form IV (3 S) is the only form detected in the 17- and 18-month-old and also in the 5-year-old birds. These four forms display different elution patterns on phosphocellulose column chromatography. They also differ in their thermal stability and sensitivity towards N-ethylmaleimide.     

Inactivation of potassium current in squid axon by a variety of quaternary ammonium ions

The characteristics of potassium channel block by a diverse group of quaternary ammonium (QA) ions was examined in squid axons. Altering the size and nature of the head and/or tail groups of the QA ions applied internally produced only quantitative differences in the potassium current block. Although their entry rate is diminished, compounds with head groups as large as 11 X 12 A are capable of occluding the channel, whereas the smallest QA ions, with head groups approximately 5 X 6 A, are not potent blockers. When one or three terminal hydrogens of the head group were replaced by hydroxyl moieties, the compound's blocking ability was diminished, suggesting that QA binding is not improved by hydrogen bonding at these positions. QA ions bound to their site within the potassium channel with 1:1 stoichiometry, and the site is perhaps 20% or more of the distance through the membrane electric field. Raising external potassium concentration did not alter the steady-state or kinetic features of the QA block of outward potassium currents; however, increasing temperature or adding Ba2+ internally increased the rate of decay of the QA-blocked currents. From the structure-function analysis of the QA ions, projections concerning both the architecture of the potassium channel's inner mouth and the significance of various chemical constituents of the ions were made. The potassium channel may now be pictured as having a wider mouth (up to 11 X 12 A) extending to the QA binding site and then narrowing quickly to the region of channel selectivity. Important alterations that improve the blocking ability of the compounds include: (a) lengthening the alkyl hydrocarbon tail group (up to 10 carbon), (b) lengthening a second hydrocarbon chain of the head group (e.g., decyldimethylphenylammonium bromide [C10DM phi]), and (c) adding a carbonyl moiety to the tail (e.g., ambutonium).     

Creation of a hard microrelief on a titanium surface processed by microplasma discharges with a current amplitude of 200 A and pulse duration of 20 ms

The interaction of microplasma discharges with samples made of VT1 commercial titanium was studied experimentally. The amplitude of the current pulses of microplasma discharges was 200 A, the pulse duration was 20 ms, and the number of current pulses was from 1 to 10. After microplasma processing, a 10-μm-thick solid remelted surface layer with an increased hardness formed on the titanium samples. As compared to the initial state of titanium samples, the surface layer hardened by microplasma discharges possesses improved parameters: the microhardness increases fivefold, the maximum admissible pressure applied to the samples during friction increases more than 20-fold, the friction wear rate is reduced by three orders of magnitude, and the friction coefficient decreases sixfold.     

Death of an axon: studying axon loss in development and disease

The loss of axon branches is a common feature of both the developing and the diseased nervous system. Despite its fundamental importance, a clear mechanistic understanding is lacking on how axonal loss occurs. However, the first molecular inroads into post-traumatic (Wallerian) axon degeneration have recently been made. In parallel, imaging techniques that allow visualizing single axons in vivo are providing a first glimpse at the cellular mechanisms of active dismantling of superfluous or diseased axons. This gives hope that soon a clearer mechanistic understanding of axon loss will emerge: comparing different forms of axon loss will reveal the spectrum of axon loss mechanisms; studies aimed at integrating the known molecular and cellular players during axon loss will provide mechanistic insight into axon dismantling; finally—by understanding how axons are normally lost—we will hopefully find ways to protect them during neurological disease or after trauma. Note: Robert Feulgen Prize Lecture 2005 presented at the Joint meeting of The Histochemical Society and The Society for Histochemistry in Noordwijkerhout, The Netherlands. After completion of this review, a comprehensive and highly informative overview of axon loss events in development and disease was published (Luo and O’Leary 2005).     

Norepinephrine as a growth stimulating factor in bacteria--mechanistic studies

Catecholamines (norepinephrine, epinephrine, dopamine) enhance the growth of several species of gram-negative bacteria. Since catechol rings are known siderophores in bacteria, the administration of catecholamines may enhance growth by improving iron uptake in growth-limiting media, serving as auxiliary siderophores. We have tested the iron content in bacterial growth media which are known to support rapid growth and "slow growth" media. Additionally, we have examined the uptake of 3H-norepinephrine, to determine whether the catecholamine is actually taken into the bacteria or is merely adsorbed to the outside of the bacteria. Finally, we have been examining the supernatants produced by culturing bacteria with norepinephrine. These supernatants have been shown to have the capacity to enhance growth of naive cultures of bacteria, and are suggested to contain an "autoinducer of growth". We have found that both fast-growth and slow-growth media contain similar concentrations of iron, and that these levels do not change in most supernatants from NE-supplemented bacterial cultures. Examination of culture supernatants from NE-supplemented bacteria under different temperature conditions reveals some interesting differences. First, culture supernatant from NE-treated Escherichia coli, cultured at 37 degrees C, when examined by HPLC, exhibits a change in the norepinephrine content over time which is not seen in supernatant from 21 degrees C cultures or other media treatments. Second, the 37 degrees C culture NE-supplemented E. coli supernatant was significantly more effective in enhancing growth of three bacterial species than any other culture method other than NE-supplementation itself (this includes supernatant from NE-supplemented cultures of the other two species as well as supernatants from unsupplemented cultures of all three species).