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.

Insuffisance rénate chronique: attitudes et pratiques de dépistages en l'absence d'etudes randomisées. [Chronic kidney disease: screening attitude and practice in the absence of randomized controlled trials].

Au vu de l'augmentation de la prévalence de l'insuffisance rénale chronique (IRC), une détection précoce a été proposée. Certaines organisations de santé proposent des mesures de détection précoce (par exemple : taux de filtration glomérulaire). L'efficacité du dépistage de l'IRC n'est cependant pas connue puisqu'aucune étude randomisée contrôlée n'a été conduite. Si le test de dépistage de l'IRC est simple et peu onéreux, un dépistage n'est justifié que s'il améliore le pronostic par rapport à l'absence de dépistage avec un rapport risques-bénéfices favorable et un rapport coût-efficacité acceptable. Sur la base d'études observationnelles et de modèles de rapport coût-efficacité, le dépistage de l'IRC doit être proposé chez les patients hypertendus et/ou diabétiques mais pas dans la population générale. [Abstract] Given the increasing prevalence of chronic kidney disease (CKD), early detection has been proposed. Some organizations recommend CKD screening. Yet, the efficacy of CKD screening is unknown given the absence of randomized controlled trial conducted so far. While CKD screening tests (e.g., glomerular filtration rate) are simple and inexpensive, CKD screening can only be justified if it reduces CKD-related mortality and/or CKD-related morbidity compared to no screening. In addition, CKD screening must provide more benefits than risks to the participants and must be cost-effective. Based on observational studies and cost-effectiveness models, CKD screening has to be proposed to high risk population (patients with hypertension and/or diabetes) but not to the general population.

Front propagation in spatially modulated media

A two-dimensional reaction-diffusion front which propagates in a modulated medium is studied. The modulation consists of a spatial variation of the local front velocity in the transverse direction to that of the front propagation. We study analytically and numerically the final steady-state velocity and shape of the front, resulting from a nontrivial interplay between the local curvature effects and the global competition process between different maxima of the control parameter. The transient dynamics of the process is also studied numerically and analytically by means of singular perturbation techniques.

Pulse propagation sustained by noise in arrays of bistable electronic circuits

One-dimensional arrays of nonlinear electronic circuits are shown to support propagation of pulses when operating in a locally bistable regime, provided the circuits are under the influence of a global noise. These external random fluctuations are applied to the parameter that controls the transition between bistable and monostable dynamics in the individual circuits. As a result, propagating fronts become destabilized in the presence of noise, and the system self-organizes to allow the transmission of pulses. The phenomenon is also observed in weakly coupled arrays, when propagation failure arises in the absence of noise.

Ballistic and diffusive corrections to front propagation in the presence of multiplicative noise

We study the dynamics of reaction-diffusion fronts under the influence of multiplicative noise. An approximate theoretical scheme is introduced to compute the velocity of the front and its diffusive wandering due to the presence of noise. The theoretical approach is based on a multiple scale analysis rather than on a small noise expansion and is confirmed with numerical simulations for a wide range of the noise intensity. We report on the possibility of noise sustained solutions with a continuum of possible velocities, in situations where only a single velocity is allowed without noise.

Interpretation of primary care physicians' attitude regarding rotavirus immunisation using diffusion of innovation theories.

To evaluate primary care physicians' attitude towards implementation of rotavirus (RV) immunisation into the Swiss immunisation schedule, an eight-question internet-based questionnaire was sent to the 3799 subscribers of InfoVac, a nationwide web-based expert network on immunisation issues, which reaches >95% of paediatricians and smaller proportions of other primary care physicians. Five demographic variables were also inquired. Descriptive statistics and multivariate analyses for the main outcome "acceptance of routine RV immunisation" and other variables were performed. Diffusion of innovation theory was used for data assessment. Nine-hundred seventy-seven questionnaires were returned (26%). Fifty percent of participants were paediatricians. Routine RV immunisation was supported by 146 participants (15%; so called early adopters), dismissed by 620 (64%), leaving 211 (21%) undecided. However, when asked whether they would recommend RV vaccination to parents if it were officially recommended by the federal authorities and reimbursed, 467 (48.5%; so called early majority) agreed to recommend RV immunisation. Multivariate analysis revealed that physicians who would immunise their own child (OR: 5.1; 95% CI: 4.1-6.3), hospital-based physicians (OR: 1.6; 95% CI: 1.1-2.3) and physicians from the French (OR: 1.6; 95% CI: 1.2-2.3) and Italian speaking areas of Switzerland (OR: 2.5; 95% CI: 1.1-5.8) were more likely to support RV immunisation. Diffusion of innovation theory predicts a >80% implementation if approximately 50% of a given population support an innovation. Introduction of RV immunisation in Switzerland is likely to be successful, if (i) the federal authorities issue an official recommendation and (ii) costs are covered by basic health care insurance.

Propagation in a thermal graviton background

It is well known that radiative corrections evaluated in nontrivial backgrounds lead to effective dispersion relations which are not Lorentz invariant. Since gravitational interactions increase with energy, gravity-induced radiative corrections could be relevant for the trans-Planckian problem. As a first step to explore this possibility, we compute the one-loop radiative corrections to the self-energy of a scalar particle propagating in a thermal bath of gravitons in Minkowski spacetime. We obtain terms which originate from the thermal bath and which indeed break the Lorentz invariance that possessed the propagator in the vacuum. Rather unexpectedly, however, the terms which break Lorentz invariance vanish in the high three-momentum limit. We also found that the imaginary part, which gives the rate of approach to thermal equilibrium, vanishes at one loop.

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.

Myocardite : l'attitude reste pragmatique! [Myocarditis: practical approach]

Le terme de « myocardite » est utilisé pour décrire une inflammation non spécifique du muscle cardiaque. Cette inflammation, qui est le plus souvent d'origine infectieuse, peut également être d'origine toxique ou immunologique. Elle peut être associée ou non à une péricardite. Le tableau clinique est habituellement bénin, mais la myocardite peut se compliquer d'une mort subite ou d'un choc cardiogénique rapidement progressif nécessitant une assistance circulatoire ou une transplantation. Dans près de 25% des cas, l'inflammation peut devenir chronique et le cours clinique peut alors évoluer vers celui d'une insuffisance cardiaque globale sur cardiomyopathie dilatée. Après avoir présenté un cas, nous passons en revue les aspects épidémiologiques, diagnostiques et thérapeutiques de cette entité pour laquelle les données fondées sur les preuves sont étonnamment peu nombreuses. Ces éléments justifient le bien-fondé de l'attitude pragmatique qui est généralement adoptée.

Parental attitude towards alternative medicine in the paediatric intensive care unit.

The interest in alternative medicine (AM) is growing. In the USA and Canada, studies showed that 34% of adults and 11% of children use AM. In a prospective cohort study, we investigated the interest in AM among parents of critically ill children in the paediatric Intensive Care Unit (ICU) of a university hospital. From January 1996 to April 1997, we distributed questionnaires to the parents of critically ill children. These strictly anonymous questionnaires were completed at home and returned by mail. Exclusion criteria were short ( < 1 day) or repeated hospitalizations, and insufficient proficiency of the German language. The inclusion criteria were fulfilled by 591 patients; 561 received the questionnaire (95%) and 289 (52%) were returned. Of the respondents, 70% would appreciate AM as a complementary therapy on the ICU, 23% found AM equally or more important than conventional medicine whereas only 7% regarded AM as unimportant. On the ICU, 18% used AM; surprisingly 41% of them did not discuss it with physicians or nurses. An additional 21% would have liked to use AM, but did not do so. Typically, AM-users administered AM also at home to their children and themselves. Their children were however, older.CONCLUSIONS: A substantial proportion of parents used measures of alternative medicine in the intensive care unit, or would have like to do so. However, few had the confidence to discuss this wish with the medical personal. This suggests that alternative medicine is of great interest, even on an intensive care unit. Nevertheless, discussion about alternative medicine seems to be taboo in doctor-patient relations.

Front propagation in spatially modulated media

A two-dimensional reaction-diffusion front which propagates in a modulated medium is studied. The modulation consists of a spatial variation of the local front velocity in the transverse direction to that of the front propagation. We study analytically and numerically the final steady-state velocity and shape of the front, resulting from a nontrivial interplay between the local curvature effects and the global competition process between different maxima of the control parameter. The transient dynamics of the process is also studied numerically and analytically by means of singular perturbation techniques.

Self-organizing propagation patterns from dynamic self-assembly in monolayers

Propagation of localized orientational waves, as imaged by Brewster angle microscopy, is induced by low intensity linearly polarized light inside axisymmetric smectic-C confined domains in a photosensitive molecular thin film at the air/water interface (Langmuir monolayer). Results from numerical simulations of a model that couples photoreorientational effects and long-range elastic forces are presented. Differences are stressed between our scenario and the paradigmatic wave phenomena in excitable chemical media.

Metastability and front propagation in the first-order optical Fréedericksz transition

A general dynamical model for the first-order optical Fréedericksz transition incorporating spatial transverse inhomogeneities and hydrodynamic effects is discussed in the framework of a time-dependent Ginzburg-Landau model. The motion of an interface between two coexisting states with different director orientations is considered. A uniformly translating front solution of the dynamical equations for the motion of that interface is described.

Front propagation in the A+B->2A reaction under subdiffusion

We consider an irreversible autocatalytic conversion reaction A+B->2A under subdiffusion described by continuous-time random walks. The reactants transformations take place independently of their motion and are described by constant rates. The analog of this reaction in the case of normal diffusion is described by the Fisher-Kolmogorov-Petrovskii-Piskunov equation leading to the existence of a nonzero minimal front propagation velocity, which is really attained by the front in its stable motion. We show that for subdiffusion, this minimal propagation velocity is zero, which suggests propagation failure.