Mean first-passage time of continuous non-Markovian processes driven by colored noise

An equation for mean first-passage times of non-Markovian processes driven by colored noise is derived through an appropriate backward integro-differential equation. The equation is solved in a Bourret-like approximation. In a weak-noise bistable situation, non-Markovian effects are taken into account by an effective diffusion coefficient. In this situation, our results compare satisfactorily with other approaches and experimental data.

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.

Influence of age on retinochoroidal healing processes after argon photocoagulation in C57bl/6j mice.

PURPOSE: To analyze the influence of age on retinochoroidal wound healing processes and on glial growth factor and cytokine mRNA expression profiles observed after argon laser photocoagulation. METHODS: A cellular and morphometric study was performed that used 44 C57Bl/6J mice: 4-week-old mice (group I, n=8), 6-week-old mice (group II, n=8), 10-12-week-old mice (group III, n=14), and 1-year-old mice (group IV, n=14). All mice in these groups underwent a standard argon laser photocoagulation (50 microm, 400 mW, 0.05 s). Two separated lesions were created in each retina using a slit lamp delivery system. At 1, 3, 7, 14, 60 days, and 4 months after photocoagulation, mice from each of the four groups were sacrificed by carbon dioxide inhalation. Groups III and IV were also studied at 6, 7, and 8 months after photocoagulation. At each time point the enucleated eyes were either mounted in Tissue Tek (OCT), snap frozen and processed for immunohistochemistry or either flat mounted (left eyes of groups III and IV). To determine, by RT-PCR, the time course of glial fibrillary acidic protein (GFAP), vascular endothelial growth factor (VEGF), and monocyte chemotactic protein-1 (MCP-1) gene expression, we delivered ten laser burns (50 microm, 400 mW, 0.05 s) to each retina in 10-12-week-old mice (group III', n=10) and 1-year-old mice (group IV', n=10). Animals from Groups III' and IV' had the same age than those from Groups III and IV, but they received ten laser impacts in each eye and served for the molecular analysis. Mice from Groups III and IV received only two laser impacts per eye and served for the cellular and morphologic study. Retinal and choroidal tissues from these treated mice were collected at 16 h, and 1, 2, 3, and 7 days after photocoagulation. Two mice of each group did not receive photocoagulation and were used as controls. RESULTS: In the cellular and morphologic study, the resultant retinal pigment epithelium interruption expanse was significantly different between the four groups. It was more concise and smaller in the oldest group IV (112.1 microm+/-11.4 versus 219.1 microm+/-12.2 in group III) p<0.0001 between groups III and IV. By contrast, while choroidal neovascularization (CNV) was mild and not readily identifiable in group I, at all time points studied, CNV was more prominent in the (1-year-old mice) Group IV than in the other groups. For instance, up to 14 days after photocoagulation, CNV reaction was statistically larger in group IV than in group III ((p=0.0049 between groups III and IV on slide sections and p<0.0001 between the same groups on flat mounts). Moreover, four months after photocoagulation, the CNV area (on slide sections) was 1,282 microm(2)+/-90 for group III and 2,999 microm(2)+/-115 for group IV (p<0.0001 between groups III and IV). Accordingly, GFAP, VEGF, and MCP-1 mRNA expression profiles, determined by RT-PCR at 16 h, 1, 2, 3, and 7 days postphotocoagulation, were modified with aging. In 1-year-old mice (group IV), GFAP mRNA expression was already significantly higher than in the younger (10-12 week) group III before photocoagulation. After laser burns, GFAP mRNA expression peaked at 16-24 h and on day 7, decreasing thereafter. VEGF mRNA expression was markedly increased after photocoagulation in old mice eyes, reaching 2.7 times its basal level at day 3, while it was only slightly increased in young mice (1.3 times its level in untreated young mice 3 days postphotocoagulation). At all time points after photocoagulation, MCP-1 mRNA expression was elevated in old mice, reaching high levels of expression at 16 h and day 3 respectively. CONCLUSIONS: Our results were based on the study of four different age groups and included not only data from morphological observations but also from a molecular analysis of the various alterations of cytokine signaling and expression. One-year-old mice demonstrated more extensive CNV formation and a slower pace of regression after laser photocoagulation than younger mice. These were accompanied by differences in growth factors and cytokine expression profiles indicate that aging is a factor that aggravates CNV. The above results may provide some insight into possible therapeutic strategies in the future.

Theory for correlation functions of processes driven by external colored noise

We study steady-state correlation functions of nonlinear stochastic processes driven by external colored noise. We present a methodology that provides explicit expressions of correlation functions approximating simultaneously short- and long-time regimes. The non-Markov nature is reduced to an effective Markovian formulation, and the nonlinearities are treated systematically by means of double expansions in high and low frequencies. We also derive some exact expressions for the coefficients of these expansions for arbitrary noise by means of a generalization of projection-operator techniques.

Processes models, environmental analyses, and cognitive architectures: Quo vadis quantum probability theory? (Commentary on Pothos and Busemeyer)

A lot of research in cognition and decision making suffers from a lack of formalism. The quantum probability program could help to improve this situation, but we wonder whether it would provide even more added value if its presumed focus on outcome models were complemented by process models that are, ideally, informed by ecological analyses and integrated into cognitive architectures.

Diabetic patients who report receiving processes of diabetic care do not express a better quality of life

Background: Chronic disease management initiatives emphasize patient-centered care, and quality of life (QoL) is increasingly considered a representative outcome in that context. In this study we evaluated the association between receipt of processes of diabetic care and QoL. Methods: This cross-sectional population-based study (2011) used self-reported data from non-institutionalized, adult diabetics, recruited from randomly selected community pharmacies in Vaud. Outcomes included the physical and mental composites of the SF-36 (PCS, MCS) and the disease-specific Audit of Diabetes-Dependent QoL (ADDQoL). Main exposure variables were receipt of six diabetes processes-of care in the past 12 months. We also evaluated whether the association between care received and QoL was congruent with the chronic care model, when assessed by the Patient Assessment of Chronic Illness Care (PACIC). We used linear regressions to examine the association between process measures and the three composites of health-related QoL. Analyses were adjusted for age, gender, socioeconomic status, living companion, BMI, alcohol, smoking, physical activity, co-morbidities and diabetes mellitus (DM) characteristics (type, insulin use, complications, duration). Results: Mean age of the 519 diabetic patients was 64.4 years (SD 11.3), 60% were male and 73% had a living companion; 87% reported type 2 DM, half of respondents required insulin treatment, 48% had at least one DM complication, and 48% had DM over 10 years. Crude overall mean QoL scores were PCS: 43.4 (SD 10.5), MCS: 47.0 (SD 11.2) and ADDQoL: -1.56 (SD 1.6). In bivariate analyses, patients who received the influenza vaccine versus those who did not, had lower ADDQoL and PCS scores; there were no other indicator differences. In adjusted models including all processes, receipt of influenza vaccine was associated with lower ADDQoL (β= - 0.41, p=.01); there were no other associations between process indicators and QoL composites. There was no process association even when these were reported as combined measures of processes of care. PACIC score was associated only with the MCS (β= 1.57, p=.004). Conclusions: Process indicators for diabetes care did not show an association with QoL. This may represent an effect lag time between time of process received and quality of life; or that treatment may be related with inconvenience and patient worry. Further research is needed to explore these unexpected findings.

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.

Hydrological processes obtained on the plot scale under four simulated rainfall tests during the cycle of different crop systems

The cropping system influences the interception of water by plants, water storage in depressions on the soil surface, water infiltration into the soil and runoff. The aim of this study was to quantify some hydrological processes under no tillage cropping systems at the edge of a slope, in 2009 and 2010, in a Humic Dystrudept soil, with the following treatments: corn, soybeans, and common beans alone; and intercropped corn and common bean. Treatments consisted of four simulated rainfall tests at different times, with a planned intensity of 64 mm h-1 and 90 min duration. The first test was applied 18 days after sowing, and the others at 39, 75 and 120 days after the first test. Different times of the simulated rainfall and stages of the crop cycle affected soil water content prior to the rain, and the time runoff began and its peak flow and, thus, the surface hydrological processes. The depth of the runoff and the depth of the water intercepted by the crop + soil infiltration + soil surface storage were affected by the crop systems and the rainfall applied at different times. The corn crop was the most effective treatment for controlling runoff, with a water loss ratio of 0.38, equivalent to 75 % of the water loss ratio exhibited by common bean (0.51), the least effective treatment in relation to the others. Total water loss by runoff decreased linearly with an increase in the time that runoff began, regardless of the treatment; however, soil water content on the gravimetric basis increased linearly from the beginning to the end of the rainfall.

First-passage times for non-Markovian processes

First-passage time statistics for non-Markovian processes have heretofore only been developed for processes driven by dichotomous fluctuations that are themselves Markov. Herein we develop a new method applicable to Markov and non-Markovian dichotomous fluctuations and calculate analytic mean first-passage times for particular examples.

First-passage times for non-Markovian processes: Correlated impacts on a free process

We develop a method to obtain first-passage-time statistics for non-Markovian processes driven by dichotomous fluctuations. The fluctuations themselves need not be Markovian. We calculate analytic first-passage-time distributions and mean first-passage times for exponential, rectangular, and long-tail temporal distributions of the fluctuations.

First-passage times for non-Markovian processes: Correlated impacts on bound processes

Our previously developed stochastic trajectory analysis technique has been applied to the calculation of first-passage time statistics of bound processes. Explicit results are obtained for linearly bound processes driven by dichotomous fluctuations having exponential and rectangular temporal distributions.

First-passage times for non-Markovian processes: Shot noise

The stochastic-trajectory-analysis technique is applied to the calculation of the mean¿first-passage-time statistics for processes driven by external shot noise. Explicit analytical expressions are obtained for free and bound processes.

First-passage times for non-Markovian processes: Multivalued noise

A new method for the calculation of first-passage times for non-Markovian processes is presented. In addition to the general formalism, some familiar examples are worked out in detail.