The nonlinear relaxation time and quasideterministic-theory approaches to characterize the decay of unestable states

We present the relationship between nonlinear-relaxation-time (NLRT) and quasideterministic approaches to characterize the decay of an unstable state. The universal character of the NLRT is established. The theoretical results are applied to study the dynamical relaxation of the Landau model in one and n variables and also a laser model.

Stochastic processes induced by dichotomous markov noise: Some exact dynamical results

Stochastic processes defined by a general Langevin equation of motion where the noise is the non-Gaussian dichotomous Markov noise are studied. A non-FokkerPlanck master differential equation is deduced for the probability density of these processes. Two different models are exactly solved. In the second one, a nonequilibrium bimodal distribution induced by the noise is observed for a critical value of its correlation time. Critical slowing down does not appear in this point but in another one.

Exact lower bounds to the ground-state energy of spin systems: The two-dimensional S=1/2 antiferromagnetic Heisenberg model

We present a very simple but fairly unknown method to obtain exact lower bounds to the ground-state energy of any Hamiltonian that can be partitioned into a sum of sub-Hamiltonians. The technique is applied, in particular, to the two-dimensional spin-1/2 antiferromagnetic Heisenberg model. Reasonably good results are easily obtained and the extension of the method to other systems is straightforward.

Ecotoxicological approaches to assess the long-term effects of four anticancer drugs and metabolites on Daphnia pulex

The aquatic environment is exposed continuously and increasingly to chemical substances such as pharmaceuticals. These medical compounds are released into the environment after having being consumed and body-excreted by patients. Pharmaceutical residues are synthetic molecules that are not always removed by traditional sewage treatment processes and thus escape degradation. Among pharmaceuticals that escape sewage treatment plants (STPs), the anticancer drugs were measured in STP effluents and natural waters. In the aquatic environment, their long-term effects at low concentrations are sparsely known on non-target species. Tamoxifen is an anticancer drug that is widely prescribed worldwide for the prevention and treatment of hormone receptor-positive breast cancers. Two of its metabolites, i.e., endoxifen and 4-hydroxy- tamoxifen (4OHTam), have high pharmacological potency in vivo and such as tamoxifen, they are excreted via faeces by patients. Tamoxifen was measured in STP effluents and natural waters but, to the best of our knowledge, its metabolites concentrations in waters have never been reported. Imatinib is another and recent anticancer compound that targets specific tumour cells. This pharmaceutical is also body excreted and because of its increasing use in cancer treatment, imatinib may reach the natural water. The effects of tamoxifen and imatinib are unknown upon more than one generation of aquatic species. And the effects of 4OHTam, endoxifen have never been studied in ecotoxicology so far. The aims of this thesis were threefold. First, the sensitivity of D. pulex exposed to tamoxifen, 4OHTam, endoxifen or imatinib was assessed using ecotoxicological experiments. Ecotoxicology is the science that considers the toxic effects of natural or synthetic substances, such as pharmaceuticals, on organisms, populations, community and ecosystem. Acute and multigenerational (2-4 generations) tests were performed on daphnids considering several studied endpoints, such as immobilisation, size, reproduction, viability and intrinsic rate of natural increase. Additional prospective assays were designed to evaluate whether 1) low concentrations of tamoxifen and 4OHTam were able to induce toxic effects when used in combination, and 2) daphnids were able to recover when offspring were withdrawn from solutions carrying the pharmaceutical. Second, the stability of tamoxifen, 4OHTam and endoxifen in incubation medium was evaluated in solution exempted from daphnids. Because the nominal concentrations of tamoxifen, 4OHTam and endoxifen did not correspond to the measured, we provide a predictive method to estimate the concentrations of these chemicals during long-term ecotoxicological tests. Finally, changes in protein expressions were analysed in D. pulex exposed 2 or 7 seven days to tamoxifen using ecotoxicoproteomic experiments with a shot-gun approach inducing a peptide fractionation step. Our results show that tamoxifen, 4OHTam and endoxifen induced adverse effects in D. pulex at environmentally relevant concentrations. At very low concentrations, these molecules displayed unusual and teratogenic effects because morphological abnormalities were observed in offspring, such as thick and short antennas, curved spines, premature neonates and aborted eggs. Tamoxifen was the most toxic compound among the test chemicals, followed by 4OHTam, endoxifen and imatinib. Tamoxifen no-observed effect concentrations (NOECs) that were calculated for size, reproduction and intrinsic rate were below or in the range of the concentrations measured in natural waters, i.e., between 0.12 µg/L and 0.67 µg/L. For instance, the tamoxifen NOECs that were calculated for reproduction were between 0.67 and 0.72 µg/L, whereas the NOEC was < 0.15 µg/L when based on morphological abnormalities. The NOECs of 4OHTam were higher but still in the same order of magnitude as tamoxifen environmental concentrations, with a value of 1.48 µg/L. Endoxifen NOEC for the intrinsic rate of natural increase (r) and the reproduction were 0.4 and 4.3 µg/L, respectively. Daphnids that were withdrawn from tamoxifen and 4OHTam were not able to recover. Also, the reproduction of D. pulex was reduced when the treated animals were exposed to the combination of tamoxifen and 4OHTam while no effects were observed when these chemicals were tested individually at the same concentration. Among the anticancer drugs that were tested during this thesis, imatinib was the less toxic molecule towards D. pulex. No effects on size and reproduction were observed within two generations, except for the first whose reproduction decreased at the highest test concentration, i.e., 626 µg/L. Our results also underline the need to use measured or predicted concentrations instead of the nominal during aquatic experiments, particularly when lipophilic molecules are tested. Indeed, notable differences between nominal (i.e., theoretical) and measured concentrations were found with tamoxifen, 4OHTam and endoxifen at all test concentrations. A cost and time sustainable method was proposed to predict the test exposure levels of these chemicals during long-term experiments. This predictive method was efficient particularly for low concentrations, which corresponded to the test concentrations in multigenerational tests. In the ecotoxicoproteomic experiments a total of 3940 proteins were identified and quantified in D. pulex exposed to tamoxifen. These results are currently the largest dataset from D. pulex that is published and the results of proteomic analyses are available for the scientific community. Among these 3940 proteins, 189 were significantly different from controls. After protein annotation, we assumed that treated daphnids with tamoxifen had shifted cost-energy functions, such as reproduction, to maintain their basic metabolism necessary to survive. This metabolic cost hypothesis was supported by the presence of proteins involved in oxidative stress. Biomarkers for early detection of tamoxifen harmful effects on D. pulex were not discovered but the proteins of the vitellogenin-2 family (E9H8K5) and the ryanodine receptor (E9FTU9) are promising potential biomarkers because their expression was already modified after 2 days of treatment. In this thesis, the effects of tamoxifen, 4OHTam and endoxifen on daphnids raise questions about the potential impact of tamoxifen and 4OHTam in other aquatic ecosystems, and therefore, about metabolites in ecotoxicology. Because the NOECs were environmentally relevant, these results suggest that tamoxifen and 4OHTam may be interesting pharmaceuticals to consider in risk assessment. Our findings also emphasize the importance of performing long-term experiments and of considering multi-endpoints instead of the standard reproductive endpoint. Finally, we open the discussion about the importance to measure test exposures or not, during ecotoxicological studies. -- Les milieux aquatiques sont exposés continuellement à un nombre croissant de substances chimiques, notamment les médicaments issus de la médecine vétérinaire et humaine. Chez les patients, les substances administrées sont utilisées par le corps avant d'être éliminées par l'intermédiaire des excrétas dans le système d'eaux usées de la ville. Ces eaux rejoignent ensuite une station de traitement afin d'y éliminer les déchets. Dans le cas des molécules chimiques, il arrive que les processus de traitement d'eaux usées ne soient pas suffisamment efficaces et que ces molécules ne soient pas dégradées. Elles sont alors libérées dans le milieu aquatique avec les effluents de la station d'épuration. Une fois dans l'environnement, ces résidus de médicaments sont susceptibles d'induire des effets sur la faune et la flore aquatique, dont les conséquences à long terme et à faibles concentrations sont peu connues. Les anticancéreux sont une famille de médicaments qui peuvent échapper aux traitements des stations d'épuration et qui sont retrouvées dans le milieu aquatique naturel. Parmi ces substances, le tamoxifen est une molécule utilisée dans le monde entier pour prévenir et traiter les cancers hormonaux dépendant du sein, notamment. Une fois ingéré, le tamoxifen est transformé par le foie en métabolites dont deux d'entre eux, le 4-hydroxy-tamoxifen (4OHTam) et l'endoxifen, possèdent un affinité pour les récepteurs aux estrogènes et une efficacité sur les cellules tumorales supérieure au tamoxifen lui- même. Tout comme la molécule mère, ces métabolites sont principalement éliminés par l'intermédiaire des fèces. Le tamoxifen a déjà été mesuré dans les effluents de stations d'épuration et dans les eaux naturelles, mais aucune valeur n'a été reportée pour ses métabolites jusqu'à présent. Un autre anticancéreux, également éliminé par voie biliaire et susceptible d'atteindre l'environnement, est l'imatinib. Cette récente molécule a révolutionné le traitement et la survie des patients souffrant de leucémie myéloïde chronique et de tumeur stromales gastrointestinales. Les effets du tamoxifen et de l'imatinib sur plusieurs générations d'organismes aquatiques, tels que les microcrustacés Daphnia, sont inconnus et le 4OHTam et l'endoxifen n'ont même jamais été testés en écotoxicologie. Cette thèse s'est articulée autour de trois objectifs principaux. Premièrement, la sensibilité des D. pulex exposés au tamoxifen, 4OHTam, endoxifen et imatinib a été évaluée par l'intermédiaire de tests aigus et de tests sur deux à quatre générations. La mobilité, la taille, la reproduction, la viabilité et la croissance potentielle de la population ont été relevées au cours de ces expériences. Des tests supplémentaires, à but prospectifs, ont également été réalisés afin d'évaluer 1) la capacité de récupération des daphnies, lorsque leurs descendants ont été placés dans un milieu exempté de tamoxifen ou de 4OHTam, 2) les effets chez les daphnies exposées à une solution contenant de faibles concentration de tamoxifen et de 4OHTam mélangés. Le deuxième objectif a été d'évaluer la stabilité du tamoxifen, 4OHTam et endoxifen dilué dans le milieu des daphnies. Après analyses, les concentrations mesurées ne correspondaient pas aux concentrations nominales (c.-à-d., théoriques) et il a été nécessaire de développer une méthode efficace de prédiction des niveaux d'exposition lors de tests de longue durée réalisés avec ces trois molécules. Finalement, des changements dans l'expression des protéines chez des daphnies exposées au tamoxifen ont été investigués par l'intermédiaire d'expériences écotoxicoprotéomiques avec une approche dite de shot-gun avec une étape de fractionnement des protéines. Les résultats obtenus dans cette thèse montrent que le tamoxifen, le 4OHTam et l'endoxifen induisent des effets indésirables chez les daphnies à des niveaux d'exposition proches ou identiques aux concentrations du tamoxifen mesurées dans l'environnement, c'est-à-dire 0.12 et 0.67 µg/L de tamoxifen. Ces molécules ont induit des effets inhabituels tels que la production de : nouveau-nés anormaux, avec des antennes et des queues déformées, des prématurés et des oeufs avortés. Le tamoxifen fut la molécule la plus toxique pour les D. pulex suivie du 4OHTam, de l'endoxifen et enfin de l'imatinib. Lors des expériences sur plusieurs générations, les concentrations n'ayant statistiquement pas d'effet (c.à.d. NOEC en anglais) sur la taille, la reproduction et la croissance intrinsèque de la population étaient du même ordre de grandeur que les concentrations environnementales du tamoxifen. Par exemple, les NOECs du tamoxifen calculées pour la reproduction étaient de 0.67 et 0.72 µg/L, tandis que celle calculée sur la base des anomalies chez les nouveau-nés était < 0.15 µg/L. Les NOECs du 4OHTam se situaient entre 0.16 et 1.48 µg/L et celles de l'endoxifen pour la croissance intrinsèque de la population, ainsi que pour la reproduction, étaient de 0.4 et 4.3 µg/L, respectivement. Dans l'expérience basée sur la récupération des daphnies, la taille et la reproduction ont diminué bien que la descendance fût placée dans un milieu sans substances chimiques. Les daphnies exposées au mélange de tamoxifen et de 4OHTam ont produit moins de nouveau-nés que les contrôles, alors que ces concentrations n'ont pas induit d'effets lorsque testées individuellement. Finalement, l'imatinib n'a pas montré d'effets sur les deux générations testées. Seule la première génération exposée à la plus haute concentration (626 µg/L) a montré une diminution de la reproduction. Les résultats obtenus lors de l'évaluation de la stabilité du tamoxifen, 4OHTam et endoxifen dans le milieu des daphnies ont souligné l'importance d'utiliser des concentrations mesurées ou prédites en écotoxicologie. En effet, des différences notables entre concentrations nominales et mesurées ont été observées à toutes les concentrations et l'hypothèse d'un phénomène d'adsorption sur le verre des récipients a été posée. De ce fait, il a été nécessaire d'élaborer une méthode prédictive efficace et acceptable, en terme de temps et de coûts. Une régression polynomiale basée sur des concentrations mesurées et nominales a permis de prédire avec efficacité les faibles niveaux d'exposition utilisés lors d'expériences écotoxicologiques à long terme, sur plusieurs générations. Suite aux expériences d'écotoxicoprotéomiques, un total de 3940 protéines ont été identifiées et quantifiées chez des daphnies exposées au tamoxifen. Ce nombre est actuellement la plus large série de données publiées et mises à disposition pour la communauté scientifique. Parmi ces protéines, 189 sont significatives et possiblement reliées à des processus de reproduction et de stress. Sur cette base, nous avons émis l'hypothèse que les individus subissant un stress, lié à l'exposition au tamoxifen, ont utilisé leur énergie de base pour favoriser leur survie plutôt que la reproduction. Enfin, la détermination de bio-marqueurs exprimant des dommages précoces des daphnies exposées au tamoxifen n'a pas abouti en tant que telle, mais des protéines prometteuses, telle que la famille de viellogenin-2 (E9H8K5) et le récepteur à la ryanodine (E9FTU9), ont été exprimées après deux jours d'exposition déjà. Ces protéines pourraient faire l'objet d'investigations écotoxicoprotéomiques futures. Les résultats de cette thèse posent certaines questions quant au risque du tamoxifen, du 4OHTam et de l'endoxifen sur la faune et la flore aquatique et plus particulièrement sur les anticancéreux présents dans l'environnement. Les effets toxiques de ces molécules ont été observés à des concentrations environnementales et sur plusieurs générations. La question de considérer les métabolites, et ainsi les pro-médicaments, en écotoxicologie est soulevée, notamment parce que ces molécules peuvent être plus actives et efficaces que la molécule mère. Les expériences chroniques, sur plusieurs générations sont également à favoriser car elles offrent un meilleur reflet de la réalité environnementale que des essais aigus ou d'une génération. L'utilisation de la protéomique permet d'agrandir les connaissances sur les effets des médicaments à un niveau inférieur de l'organisation biologique et ainsi, de mieux comprendre de potentiels mécanismes d'action ou de déterminer de potentiels biomarqueurs. Finalement, il semble important de discuter de l'opportunité de mesurer les concentrations qui sont testées en écotoxicologie afin de ne pas sous-estimer le risque pour la faune et la flore aquatique.

Sleep function: current questions and new approaches.

The mammalian brain oscillates through three distinct global activity states: wakefulness, non-rapid eye movement (NREM) sleep and REM sleep. The regulation and function of these 'vigilance' or 'behavioural' states can be investigated over a broad range of temporal and spatial scales and at different levels of functional organization, i.e. from gene expression to memory, in single neurons, cortical columns or the whole brain and organism. We summarize some basic questions that have arisen from recent approaches in the quest for the functions of sleep. Whereas traditionally sleep was viewed to be regulated through top-down control mechanisms, recent approaches have emphasized that sleep is emerging locally and regulated in a use-dependent (homeostatic) manner. Traditional markers of sleep homeostasis, such as the electroencephalogram slow-wave activity, have been linked to changes in connectivity and plasticity in local neuronal networks. Thus waking experience-induced local network changes may be sensed by the sleep homeostatic process and used to mediate sleep-dependent events, benefiting network stabilization and memory consolidation. Although many questions remain unanswered, the available data suggest that sleep function will best be understood by an analysis which integrates sleep's many functional levels with its local homeostatic regulation.

Exact gravitational shockwaves and Planckian scattering on branes

We obtain a solution describing a gravitational shock wave propagating along a Randall-Sundrum brane. The interest of such a solution is twofold: on the one hand, it is the first exact solution for a localized source on a Randall-Sundrum three-brane. On the other hand, one can use it to study forward scattering at Planckian energies, including the effects of the continuum of Kaluza-Klein modes. We map out the different regimes for the scattering obtained by varying the center-of-mass energy and the impact parameter. We also discuss exact shock waves in ADD scenarios with compact extra dimensions.

Exact solution to the mean exit time problem for free inertial processes driven by Gaussian white noise

We obtain the exact analytical expression, up to a quadrature, for the mean exit time, T(x,v), of a free inertial process driven by Gaussian white noise from a region (0,L) in space. We obtain a completely explicit expression for T(x,0) and discuss the dependence of T(x,v) as a function of the size L of the region. We develop a new method that may be used to solve other exit time problems.

Exact solution to the exit-time problem for an undamped free particle driven by Gaussian white noise

In a recent paper [Phys. Rev. Lett. 75, 189 (1995)] we have presented the exact analytical expression for the mean exit time, T(x,v), of a free inertial process driven by Gaussian white noise out of a region (0,L) in space. In this paper we give a detailed account of the method employed and present results on asymptotic properties and averages of T(x,v).

Exact long-time behavior of a network of oscillators under random fields

We present an exact solution for the order parameters that characterize the stationary behavior of a population of Kuramotos phase oscillators under random external fields [Y. Kuramoto, in International Symposium on Mathematical Problems in Theoretical Physics, Lecture Notes in Physics, Vol. 39 (Springer, Berlin, 1975), p. 420]. From these results it is possible to generate the phase diagram of models with an arbitrary distribution of random frequencies and random fields.

On a class of exact solutions to the Fokker-Planck equations

In this paper we study under which circumstances there exists a general change of gross variables that transforms any FokkerPlanck equation into another of the OrnsteinUhlenbeck class that, therefore, has an exact solution. We find that any FokkerPlanck equation will be exactly solvable by means of a change of gross variables if and only if the curvature tensor and the torsion tensor associated with the diffusion is zero and the transformed drift is linear. We apply our criteria to the Kubo and Gompertz models.

Exact temporal evolution for some non-linear diffusion process

Exact solutions to FokkerPlanck equations with nonlinear drift are considered. Applications of these exact solutions for concrete models are studied. We arrive at the conclusion that for certain drifts we obtain divergent moments (and infinite relaxation time) if the diffusion process can be extended without any obstacle to the whole space. But if we introduce a potential barrier that limits the diffusion process, moments converge with a finite relaxation time.

Novel anesthetics and other treatment strategies for refractory status epilepticus

Refractory status epilepticus (RSE)-that is, seizures resistant to at least two antiepileptic drugs (AEDs)-is generally managed with barbiturates, propofol, or midazolam, despite a low level of evidence (Rossetti, 2007). When this approach fails, the need for alternative pharmacologic and nonpharmacologic strategies emerges. These have been investigated even less systematically than the aforementioned compounds, and are often used, sometimes in succession, in cases of extreme refractoriness (Robakis & Hirsch, 2006). Several possibilities are reviewed here. In view of the marked heterogeneity of reported information, etiologies, ages, and comedications, it is extremely difficult to evaluate a given method, not to say to compare different strategies among them. Pharmacologic Approaches Isoflurane and desflurane may complete the armamentarium of anesthetics,' and should be employed in a ''close'' environment, in order to prevent intoxication of treating personnel. c-Aminobutyric acid (GABA)A receptor potentiation represents the putative mechanism of action. In an earlier report, isoflurane was used for up to 55 h in nine patients, controlling seizures in all; mortality was, however, 67% (Kofke et al., 1989). More recently, the use of these inhalational anesthetics was described in seven subjects with RSE, for up to 26 days, with an endtidal concentration of 1.2-5%. All patients required vasopressors, and paralytic ileus occurred in three; outcome was fatal in three patients (43%) (Mirsattari et al., 2004). Ketamine, known as an emergency anesthetic because of its favorable hemodynamic profile, is an N-methyl-daspartate (NMDA) antagonist; the interest for its use in RSE derives from animal works showing loss of GABAA efficacy and maintained NMDA sensitivity in prolonged status epilepticus (Mazarati & Wasterlain, 1999). However, to avoid possible neurotoxicity, it appears safer to combine ketamine with GABAergic compounds (Jevtovic-Todorovic et al., 2001; Ubogu et al., 2003), also because of a likely synergistic effect (Martin & Kapur, 2008). There are few reported cases in humans, describing progressive dosages up to 7.5 mg/kg/h for several days (Sheth & Gidal, 1998; Quigg et al., 2002; Pruss & Holtkamp, 2008), with moderate outcomes. Paraldehyde acts through a yet-unidentified mechanism, and appears to be relatively safe in terms of cardiovascular tolerability (Ramsay, 1989; Thulasimani & Ramaswamy, 2002), but because of the risk of crystal formation and its reactivity with plastic, it should be used only as fresh prepared solution in glass devices (Beyenburg et al., 2000). There are virtually no recent reports regarding its use in adults RSE, whereas rectal paraldehyde in children with status epilepticus resistant to benzodiazepines seems less efficacious than intravenous phenytoin (Chin et al., 2008). Etomidate is another anesthetic agent for which the exact mechanism of action is also unknown, which is also relatively favorable regarding cardiovascular side effects, and may be used for rapid sedation. Its use in RSE was reported in eight subjects (Yeoman et al., 1989). After a bolus of 0.3 mg/kg, a drip of up to 7.2 mg/kg/h for up to 12 days was administered, with hypotension occurring in five patients; two patients died. A reversible inhibition of cortisol synthesis represents an important concern, limiting its widespread use and implying a careful hormonal substitution during treatment (Beyenburg et al., 2000). Several nonsedating approaches have been reported. The use of lidocaine in RSE, a class Ib antiarrhythmic agent modulating sodium channels, was reviewed in 1997 (Walker & Slovis, 1997). Initial boluses up to 5 mg/kg and perfusions of up to 6 mg/kg/h have been mentioned; somewhat surprisingly, at times lidocaine seemed to be successful in controlling seizures in patients who were refractory to phenytoin. The aforementioned dosages should not be overshot, in order to keep lidocaine levels under 5 mg/L and avoid seizure induction (Hamano et al., 2006). A recent pediatric retrospective survey on 57 RSE episodes (37 patients) described a response in 36%, and no major adverse events; mortality was not given (Hamano et al., 2006 Verapamil, a calcium-channel blocker, also inhibits P-glycoprotein, a multidrug transporter that may diminish AED availability in the brain (Potschka et al., 2002). Few case reports on its use in humans are available; this medication nevertheless appears relatively safe (under cardiac monitoring) up to dosages of 360 mg/day (Iannetti et al., 2005). Magnesium, a widely used agent for seizures elicited by eclampsia, has also been anecdotally reported in RSE (Fisher et al., 1988; Robakis & Hirsch, 2006), but with scarce results even at serum levels of 14 mm. The rationale may be found in the physiologic blockage of NMDA channels by magnesium ions (Hope & Blumenfeld, 2005). Ketogenic diet has been prescribed for decades, mostly in children, to control refractory seizures. Its use in RSE as ''ultima ratio'' has been occasionally described: three of six children (Francois et al., 2003) and one adult (Bodenant et al., 2008) were responders. This approach displays its effect subacutely over several days to a few weeks. Because ''malignant RSE'' seems at times to be the consequence of immunologic processes (Holtkamp et al., 2005), a course of immunomodulatory treatment is often advocated in this setting, even in the absence of definite autoimmune etiologies (Robakis & Hirsch, 2006); steroids, adrenocorticotropic hormone (ACTH), plasma exchanges, or intravenous immunoglobulins may be used alone or in sequential combination. Nonpharmacologic Approaches These strategies are described somewhat less frequently than pharmacologic approaches. Acute implantation of vagus nerve stimulation (VNS) has been reported in RSE (Winston et al., 2001; Patwardhan et al., 2005; De Herdt et al., 2009). Stimulation was usually initiated in the operation room, and intensity progressively adapted over a few days up to 1.25 mA (with various regimens regarding the other parameters), allowing a subacute seizure control; one transitory episode of bradycardia/asystole has been described (De Herdt et al., 2009). Of course, pending identification of a definite seizure focus, resective surgery may also be considered in selected cases (Lhatoo & Alexopoulos, 2007). Low-frequency (0.5 Hz) transcranial magnetic stimulation (TMS) at 90% of the resting motor threshold has been reported to be successful for about 2 months in a patient with epilepsia partialis continua, but with a weaning effect afterward, implying the need for a repetitive use (Misawa et al., 2005). More recently, TMS was applied in a combination of a short ''priming'' high frequency (up to 100 Hz) and longer runs of low-frequency stimulations (1 Hz) at 90-100% of the motor threshold in seven other patients with simple-partial status, with mixed results (Rotenberg et al., 2009). Paradoxically at first glance, electroconvulsive treatment may be found in cases of extremely resistant RSE. A recent case report illustrates its use in an adult patient with convulsive status, with three sessions (three convulsions each) carried out over 3 days, resulting in a moderate recovery; the mechanism is believed to be related to modification of the synaptic release of neurotransmitters (Cline & Roos, 2007). Therapeutic hypothermia, which is increasingly used in postanoxic patients (Oddo et al., 2008), has been the object of a recent case series in RSE (Corry et al., 2008). Reduction of energy demand, excitatory neurotransmission, and neuroprotective effects may account for the putative mechanism of action. Four adult patients in RSE were cooled to 31_-34_C with an endovascular system for up to 90 h, and then passively rewarmed over 2-50 h. Seizures were controlled in two patients, one of whom died; also one of the other two patients in whom seizures continued subsequently deceased. Possible side effects are related to acid-base and electrolyte disturbances, and coagulation dysfunction including thrombosis, infectious risks, cardiac arrhythmia, and paralytic ileus (Corry et al., 2008; Cereda et al., 2009). Finally, anecdotic evidence suggests that cerebrospinal fluid (CSF)-air exchange may induce some transitory benefit in RSE (Kohrmann et al., 2006); although this approach was already in use in the middle of the twentieth century, the mechanism is unknown. Acknowledgment A wide spectrum of pharmacologic (sedating and nonsedating) and nonpharmacologic (surgical, or involving electrical stimulation) regimens might be applied to attempt RSE control. Their use should be considered only after refractoriness to AED or anesthetics displaying a higher level of evidence. Although it seems unlikely that these uncommon and scarcely studied strategies will influence the RSE outcome in a decisive way, some may be interesting in particular settings. However, because the main prognostic determinant in status epilepticus appears to be related to the underlying etiology rather than to the treatment approach (Rossetti et al., 2005, 2008), the safety issue should always represent a paramount concern for the prescribing physician. Conclusion The author confirms that he has read the Journal's position on issues involved in ethical publication and affirms that this paper is consistent with those guidelines.