Solution to telegrapher's equation in the presence of reflecting and partly reflecting broundaries

We show that the reflecting boundary condition for a one-dimensional telegraphers equation is the same as that for the diffusion equation, in contrast to what is found for the absorbing boundary condition. The radiation boundary condition is found to have a quite complicated form. We also obtain exact solutions of the telegraphers equation in the presence of these boundaries.

Telegrapher's equation with variable propagation speeds

All derivations of the one-dimensional telegraphers equation, based on the persistent random walk model, assume a constant speed of signal propagation. We generalize here the model to allow for a variable propagation speed and study several limiting cases in detail. We also show the connections of this model with anomalous diffusion behavior and with inertial dichotomous processes.

Mean first-passage times for systems driven by equilibrium persistent-periodic dichotomous noise

In a recent paper, [J. M. Porrà, J. Masoliver, and K. Lindenberg, Phys. Rev. E 48, 951 (1993)], we derived the equations for the mean first-passage time for systems driven by the coin-toss square wave, a particular type of dichotomous noisy signal, to reach either one of two boundaries. The coin-toss square wave, which we here call periodic-persistent dichotomous noise, is a random signal that can only change its value at specified time points, where it changes its value with probability q or retains its previous value with probability p=1-q. These time points occur periodically at time intervals t. Here we consider the stationary version of this signal, that is, equilibrium periodic-persistent noise. We show that the mean first-passage time for systems driven by this stationary noise does not show either the discontinuities or the oscillations found in the case of nonstationary noise. We also discuss the existence of discontinuities in the mean first-passage time for random one-dimensional stochastic maps.

Stochastic resonance in nonpotential systems

We propose a method to analytically show the possibility for the appearance of a maximum in the signal-to-noise ratio in nonpotential systems. We apply our results to the FitzHugh-Nagumo model under a periodic external forcing, showing that the model exhibits stochastic resonance. The procedure that we follow is based on the reduction to a one-dimensional dynamics in the adiabatic limit and in the topology of the phase space of the systems under study. Its application to other nonpotential systems is also discussed.

Generalization of the persistent random walk to dimensions greater than 1

We propose a generalization of the persistent random walk for dimensions greater than 1. Based on a cubic lattice, the model is suitable for an arbitrary dimension d. We study the continuum limit and obtain the equation satisfied by the probability density function for the position of the random walker. An exact solution is obtained for the projected motion along an axis. This solution, which is written in terms of the free-space solution of the one-dimensional telegraphers equation, may open a new way to address the problem of light propagation through thin slabs.

Glasgow Coma Score für den Patienten mit Schädel-Hirn-Trauma [Glasgow Coma Scale in traumatic brain injury].

Even 30 years after its first publication the Glasgow Coma Scale (GCS) is still used worldwide to describe and assess coma. The GCS consists of three components, the ocular, motor and verbal response to standardized stimulation, and is used as a severity of illness indicator for coma of various origins. The GCS facilitates information transfer and monitoring changes in coma. In addition, it is used as a triage tool in patients with traumatic brain injury. Its prognostic value regarding the outcome after a traumatic brain injury still lacks evidence. One of the main problems is the evaluation of the GCS in sedated, paralysed and/or intubated patients. A multitude of pseudoscores exists but a universal definition has yet to be defined.

Thermal resonance in signal transmission

We use temperature tuning to control signal propagation in simple one-dimensional arrays of masses connected by hard anharmonic springs and with no local potentials. In our numerical model a sustained signal is applied at one site of a chain immersed in a thermal environment and the signal-to-noise ratio is measured at each oscillator. We show that raising the temperature can lead to enhanced signal propagation along the chain, resulting in thermal resonance effects akin to the resonance observed in arrays of bistable systems.

Nanomechanical properties of molecular organic thin films

Using atomic force microscopy we have studied the nanomechanical response to nanoindentations of surfaces of highly oriented molecular organic thin films (thickness¿1000¿nm). The Young¿s modulus E can be estimated from the elastic deformation using Hertzian mechanics. For the quasi-one-dimensional metal tetrathiafulvalene tetracyanoquinodimethane E~20¿GPa and for the ¿ phase of the p-nitrophenyl nitronyl nitroxide radical E~2GPa. Above a few GPa, the surfaces deform plastically as evidenced by discrete discontinuities in the indentation curves associated to molecular layers being expelled by the penetrating tip.

Magnetic coupling in the weac ferromagnet CuF2

CuF2 is known to be an antiferromagnetic compound with a weak ferromagnetism due to the anisotropy of its monoclinic unit cell (Dzialoshinsky-Moriya mechanism). We investigate the magnetic ordering of this compound by means of ab initio periodic unrestricted Hartree-Fock calculations and by cluster calculations which employ state-of-the-art configuration interaction expansions and modern density functional theory techniques. The combined use of periodic and cluster models permits us to firmly establish that the antiferromagnetic order arises from the coupling of one-dimensional subunits which themselves exhibit a very small ferromagnetic coupling between Cu neighbor cations. This magnetic order could be anticipated from the close correspondence between CuF2 and rutile crystal structures.

External Fluctuations in Front Propagation

We study the effects of external noise in a one-dimensional model of front propagation. Noise is introduced through the fluctuations of a control parameter leading to a multiplicative stochastic partial differential equation. Analytical and numerical results for the front shape and velocity are presented. The linear-marginal-stability theory is found to increase its range of validity in the presence of external noise. As a consequence noise can stabilize fronts not allowed by the deterministic equation.

On Ito's formula for elliptic diffusion processes

Bardina and Jolis [Stochastic process. Appl. 69 (1997) 83-109] prove an extension of Ito's formula for F(Xt, t), where F(x, t) has a locally square-integrable derivative in x that satisfies a mild continuity condition in t and X is a one-dimensional diffusion process such that the law of Xt has a density satisfying certain properties. This formula was expressed using quadratic covariation. Following the ideas of Eisenbaum [Potential Anal. 13 (2000) 303-328] concerning Brownian motion, we show that one can re-express this formula using integration over space and time with respect to local times in place of quadratic covariation. We also show that when the function F has a locally integrable derivative in t, we can avoid the mild continuity condition in t for the derivative of F in x.

The role of chaplains in end-of-life decision making: Results of a pilot survey.

OBJECTIVE: The overall aim of this study was to discover how chaplains assess their role within ethically complex end-of-life decisions. METHODS: A questionnaire was sent to 256 chaplains working for German health care institutions. Questions about their role and satisfaction as well as demographic data were collected, which included information about the chaplains' integration within multi-professional teams. RESULTS: The response rate was 59%, 141 questionnaires were analyzed. Respondents reported being confronted with decisions concerning the limitation of life-sustaining treatment on average two to three times per month. Nearly 74% were satisfied with the decisions made within these situations. However, only 48% were satisfied with the communication process. Whenever chaplains were integrated within a multi-professional team there was a significantly higher satisfaction with both: the decisions made (p = 0.000) and the communication process (p = 0.000). Significance of the results: Although the results of this study show a relatively high satisfaction among surveyed chaplains with regard to the outcome of decisions, one of the major problems seems to reside in the communication process. A clear integration of chaplains within multi-professional teams (such as palliative care teams) appears to increase the satisfaction with the communication in ethically critical situations.

Bridge Deck Waterproofing Membrane Study, R-262, 1974

One of the main problems of bridge maintenance in Iowa is the spalling and scaling of the decks. This problem stems from the continued use of deicing salts during the winter months. Since bridges will frost or freeze more often than roadways, the use of deicing salts on bridges is more frequent. The salt which is spread onto the bridge dissolves in water and permeates into the concrete deck. When the salt reaches the depth of the reinforcing steel and the concentration at that depth reaches the threshold concentration for corrosion (1.5 lbs./yd. 3 ), the steel will begin to oxidize. The oxidizing steel must then expand within the concrete. This expansion eventually forces undersurface fractures and spalls in the concrete. The spalling increases maintenance problems on bridges and in some cases has forced resurfacing after only a few years of service. There are two possible solutions to this problem. One solution is discontinuing the use of salts as the deicing agent on bridges and the other is preventing the salt from reaching or attacking the reinforcing steel. This report deals with one method which stops the salt from reaching the reinforcing steel. The method utilizes a waterproof membrane on the surface of a bridge deck. The waterproof membrane stops the water-salt solution from entering the concrete so the salt cannot reach the reinforcing steel.

3D solutions in transmission electron (Cryo) -microscopy in biology

One of the main problems in transmission electron microscopy in thebiological field is the tri-dimensionality. This article explains the technicalprocedures and requirements to prepare biological specimens preserving themclosest to their native state to perform 3D reconstruction of the macromolecularcomplexes and cellular structures in their natural environment.

Analyse des modifications de la chromatine impliquées dans l'effet barrière de CTF1 aux télomères humains

Eukaryotic genomes are compartmentalized in different structural domains that can affect positively or negatively gene expression. These regions of euchromatin and heterochromatin are characterized by distinct histones marks which can facilitate or repress gene transcription. The chromatin environment represents thus one of the main problems to control gene expression in biotechnological applications or gene therapy, since its expression is affected by the chromatin neighboring its locus of insertion. Some chromatin regions like telomeres are composed of constitutive heterochromatin which leads to the telomeric position effect (TPE) that silences genes adjacent to the telomere. TPE is known to spread by the selfrecruitment of the SIR histone deacetylase complex from the telomere in S.cerevisiae, but the histone marks that are associated to telomeric chromatin in mammalian cells remain mostly unknown. The transcription factor CTF1 has shown antisilencing properties in mammalian cells and also a boundary activity against TPE in yeast cells when fused to the yeast Gal4 DNA binding domain. In the work presented here, we describe a dual-reporter system to assess the boundary activity of proteins such as CTF1 at human telomeres. When located between the two reporter genes, CTF1 shields the telomere distal gene from TPE, while the telomereproximal gene remains silenced by telomeric heterochromatin. The boundary activity of CTF1 is shown to act regardless its function of transcriptional activator, by opposition to the transcriptional activator VP16 which activates indifferently both transgenes. Moreover, this study shows that CTF1 boundary activity is linked to its H3 binding function, as expected from a chromatin remodeler. ChIP experiments showed that histone deacetylation is the main histone modification involved in gene silencing at mammalian cell telomeres. Distinctly to yeast cells, the histone deacetylation signal in human cells extented over a short range along the chromosome. CTF1 may help to block this propagation and therefore to restore histones acetylation level on telomere protected locus. Surprisingly, other histone marks such as trimethyl-H3K9 or trimethyl-H4K20 were found on telomere protected locus, while in another clone, unsilencing of telomere distal transgene was associated with recruitment of the histone variant H2A.Z. Thus, I conclude that CTF1 displays a chromatin boundary function which is independent of its transcriptional activity and therefore exhibit features required for use as chromatin insulator in biotechnological applications. RESUME Les génomes eucaryotes sont compartementalisés en domaines structurels qui peuvent affecter positivement ou négativement l'expression des gènes avoisinants. Ces régions dites d'euchromatine ou d'hétérochromatine sont caractérisées par des modifications posttraductionnelles des histones qui peuvent faciliter ou au contraire inhiber la transcription des gènes qui s'y trouvent. Ainsi, isoler un gène de son environnement chromatinien est problème fréquent lorsqu'il s'agit de contrôler son expression dans le cadre d'applications en biotechnologie ou encore en thérapie génique. Certaines régions de chromatine telles que les télomères sont composées d'hétérochromatine constitutive qui mène au silençage des gènes avoisinants. Cet effet de position télomérique (TPE) est connu dans la levure S.cerevisiae comme se propageant par auto-recrutement du complexe de déacétylation d'histone SIR, alors que peu de modifications de chromatine ont pu être associées à ce phénomène dans les cellules de mammifères. Le facteur de transcription CTF1 a montré des propriétés d'anti-silençage dans les cellules de mammifères, ainsi qu'une activité barrière contre le silençage télomérique dans les cellules de levures lorsqu'il est fusionné au domaine de liaison à l'ADN de la protéine de levure Gal4. Dans le travail présenté ci-après est décrit un système à deux gènes rapporteurs permettant de mesurer l'activité barrière de protéines telles que CTF1 aux télomères humains, et les modifications de chromatine qui y sont associées. Lorsque CTF1 est placé entre les deux gènes rapporteurs, le gène distant du télomère est protégé du silençage qui lui est associé, alors que le gène proche du télomère reste soumis à ce silençage induit par l'hétérochromatine télomérique. L'activité barrière de CTF1 est montrée ici comme agissant indépendamment de son activité transcriptionnelle, par opposition à l'activateur transcriptionnel VP16 qui active indifféremment les deux transgènes. En outre, cette étude appuie l'hypothèse stipulant que CTF1 agisse comme remodeleur chromatinien puisqu'elle démontre que son activité barrière est directement dépendante de son activité de liaison avec l'histone H3. De plus, des expériences d'immuno-précipitation de la chromatine démontrent que la déacétylation des histones est le majeur phénomène intervenant dans le silençage télomérique. Par opposition à la levure, ce signal de déacétylation ne se propage dans les cellules humaines que sur une courte distance le long du chromosome. CTF1 agit ainsi en bloquant cette propagation et en restaurant le niveau d'acétylation des histones sur le locus protégé du télomère. De manière surprenante et inattendue, d'autres modifications d'histones telles que 4 les H3K9 et H4K20 triméthylées sont aussi observées à ce locus, tandis le recrutement du variant H2A.Z peut aussi être suffisant à restaurer l'expression du gène distant du télomère. En terme de cette analyse, CTF1 exhibe ainsi une fonction de barrière chromatinienne qui exclue une activité transcriptionnelle non désirée - propriété qui est requise dans l'établissement des isolateurs visant à permettre le contrôle d'un transgène dans le cadre d'applications en biotechnologies.