Catalan's intervals and realizers of triangulations

The Stanley lattice, Tamari lattice and Kreweras lattice are three remarkable orders defined on the set of Catalan objects of a given size. These lattices are ordered by inclusion: the Stanley lattice is an extension of the Tamari lattice which is an extension of the Kreweras lattice. The Stanley order can be defined on the set of Dyck paths of size n as the relation of being above. Hence, intervals in the Stanley lattice are pairs of non-crossing Dyck paths. In a former article, the second author defined a bijection Φ between pairs of non-crossing Dyck paths and the realizers of triangulations (or Schnyder woods). We give a simpler description of the bijection Φ. Then, we study the restriction of Φ to Tamari’s and Kreweras’ intervals. We prove that Φ induces a bijection between Tamari intervals and minimal realizers. This gives a bijection between Tamari intervals and triangulations. We also prove that Φ induces a bijection between Kreweras intervals and the (unique) realizers of stack triangulations. Thus, Φ induces a bijection between Kreweras intervals and stacktriangulations which are known to be in bijection with ternary trees.

Confidence and Competence in Communication

This paper studies information transmission between an uninformed decision maker (receiver) and an informed player (sender) who have asymmetric beliefs ("con fidence") on the sender s ability ("competence") to observe the state of nature. We fi nd that even when the material payoffs of are perfectly aligned, the sender s over- and underconfi dence on his information give rise to information loss in communication, although they do not by themselves completely eliminate information transmission in equilibrium. However, an underconfi dent sender may prefer no communication to informative communication. We also show that when the sender is biased, overconfi dence can lead to more information transmission and welfare improvement.

Self-Confidence, Overconfidence and Prenatal Testosterone Exposure: Evidence from the Lab

This paper examines whether the degree of confidence and overconfidence in one's ability is determined biologically. In articular, we study whether foetal testosterone exposure correlates with an incentive-compatible measure of confidence within an experimental setting. We find that men (rather than women) who were exposed to high testosterone levels in their mother's womb are less likely to overestimate their actual performance, which in turn helps them to gain higher monetary rewards. Men exposed to low prenatal testosterone levels, instead, set unrealistically high expectations which results in self-defeating behaviour. These results from the lab are able to reconcile hitherto disconnected evidence from the field, by providing a link between traders'overconfidence bias, long-term financial returns and prenatal testosterone exposure.

Zeitpunkt der Medikamenten-einnahme bei Hypertonie und Angina pectoris. Eine kontrollierte Uberwachungsstudie. [Time of drug intake in hypertension and angina pectoris. A controlled monitoring study]

A prospective cross-over study was performed in a general practice environment to assess and compare compliance data obtained by electronic monitoring on a BID or QD regimen in 113 patients with hypertension or angina pectoris. All patients were on a BID regimen (nifedipine SR) during the first month and switched to QD regimen (amlodipine) for another month. Taking compliance (i.e. the proportion of days with correct dosing) improved in 30% of patients (95% confidence interval 19 to 41%, p < 0.001), when switching from a BID to a QD regimen, but at the same time there was a 15% increase (95% confidence interval 5 to 25%, p < 0.02) in the number of patients with one or more no-dosing days. About 8% of patients had a low compliance rate, irrespective of the dosage regimen. Actual dosage intervals were used to estimate extent and timing of periods with unsatisfactory drug activity for various hypothetical drug durations of action, and it appears that the apparent advantage of QD regimen in terms of compliance is clinically meaningful only, when the duration of activity extents beyond the dosage interval in all patients.

Improving Patient Safety - Building Public Confidence (PDF 440 KB)

A response by the Department of Health, Social Services & Public Safety to the recommendations contained in the Shipman Inquiry Reports 3, 4 & 5.

Cope with Confidence - survey of heart failure patient experience

Your views matter - if you have heart failure, or are close to someone who does, please complete our survey by 31st�March 2012 (link below).Heart failure is a common condition affecting at least 20,000 people in Northern Ireland. The aim of this survey is to find out how to increase the confidence of people living with heart failure so they have a better quality of life, and can work in partnership with health care professionals and support services in managing their condition. The findings of this survey will be used to help improve services.Your views are important and we would encourage you to complete the survey. It should only take around 20 minutes. Participation is confidential which means that your identity will not be revealed. You are asked for your age, the first part of you post code and which GP practice you are registered with. This is so the results for different age groups and for different large geographical areas (i.e. Health & Social Care Trust areas) can be compared.� Results will not be examined by individual GP practice.Participation is voluntary i.e. taking part in the study is your decision. Whether you participate or not will have no effect on the medical care you receive from your GP practice or elsewhere. None of the health care professionals involved in your care will know if you participate or not: neither will they see your individual response.Whether you are an adult or a young person living with heart failure, or a partner, care giver, son, daughter, relative or friend, we would like you to share your experiences. This will help us to develop existing services in Northern Ireland to better meet your needs.You can share your experience by completing the survey online, clicking this�link:�http://sg.sensemaker-suite.com/CopewithconfidenceThe survey should be completed by 31st�March 2012.�If you have any queries about the survey, or you would like to request a paper copy to complete, please contact the Public Health Agency (028) 9032 1313 and ask for extension 2487 or email us at copewithconfidence@hscni.netPlease note that the survey team can only assist in survey related questions and will not able to answer questions about heart failure, its treatment or services provided.The Northern Ireland Chest Heart & Stroke Association and The British Heart Foundation can provide information about support available to people with heart failure. Their contact details are:.�Northern Ireland Chest Heart and Stroke Association:� www.nichsa.com, telephone (028) 9032 0184.�British Heart Foundation:� www.bhf.org.uk, telephone 0300 330 3311

Necessary and sufficient conditions for robust stability using modal intervals

In this paper, robustness of parametric systems is analyzed using a new approach to interval mathematics called Modal Interval Analysis. Modal Intervals are an interval extension that, instead of classic intervals, recovers some of the properties required by a numerical system. Modal Interval Analysis not only simplifies the computation of interval functions but allows semantic interpretation of their results. Necessary, sufficient and, in some cases, necessary and sufficient conditions for robust performance are presented

Immune response to the mumps component of the MMR vaccine in the routine of immunisation services in the Brazilian National Immunisation Program

A non-controlled longitudinal study was conducted to evaluate the combined vaccine against measles, mumps and rubella (MMR) immunogenicity in 150 children vaccinated in the routine of three health units in the city of Rio de Janeiro, Brazil, 2008-2009, without other vaccines administered during the period from 30 days before to 30 days after vaccination. A previous study conducted in Brazil in 2007, in 1,769 children ranging from 12-15 months of age vaccinated against yellow fever and MMR simultaneously or at intervals of 30 days or more between doses, had shown low seroconversion for mumps regardless of the interval between administration of the two vaccines. The current study showed 89.5% (95% confidence interval: 83.3; 94.0) seroconversion rate for mumps. All children seroconverted for measles and rubella. After revaccination, high antibody titres and seroconversion rates were achieved against mumps. The results of this study and others suggest that two MMR doses confer optimal immunoresponses for all three antigens and the possible need for additional doses should be studied taking into account not only serological, but also epidemiological data, as there is no serological correlate of protection for mumps.

Clinical intervals and diagnostic characteristics in a cohort of prostate cancer patients in Spain: a multicentre observational study.

BACKGROUND Little is known about the healthcare process for patients with prostate cancer, mainly because hospital-based data are not routinely published. The main objective of this study was to determine the clinical characteristics of prostate cancer patients, the, diagnostic process and the factors that might influence intervals from consultation to diagnosis and from diagnosis to treatment. METHODS We conducted a multicentre, cohort study in seven hospitals in Spain. Patients' characteristics and diagnostic and therapeutic variables were obtained from hospital records and patients' structured interviews from October 2010 to September 2011. We used a multilevel logistic regression model to examine the association between patient care intervals and various variables influencing these intervals (age, BMI, educational level, ECOG, first specialist consultation, tumour stage, PSA, Gleason score, and presence of symptoms) and calculated the odds ratio (OR) and the interquartile range (IQR). To estimate the random inter-hospital variability, we used the median odds ratio (MOR). RESULTS 470 patients with prostate cancer were included. Mean age was 67.8 (SD: 7.6) years and 75.4 % were physically active. Tumour size was classified as T1 in 41.0 % and as T2 in 40 % of patients, their median Gleason score was 6.0 (IQR:1.0), and 36.1 % had low risk cancer according to the D'Amico classification. The median interval between first consultation and diagnosis was 89 days (IQR:123.5) with no statistically significant variability between centres. Presence of symptoms was associated with a significantly longer interval between first consultation and diagnosis than no symptoms (OR:1.93, 95%CI 1.29-2.89). The median time between diagnosis and first treatment (therapeutic interval) was 75.0 days (IQR:78.0) and significant variability between centres was found (MOR:2.16, 95%CI 1.45-4.87). This interval was shorter in patients with a high PSA value (p = 0.012) and a high Gleason score (p = 0.026). CONCLUSIONS Most incident prostate cancer patients in Spain are diagnosed at an early stage of an adenocarcinoma. The period to complete the diagnostic process is approximately three months whereas the therapeutic intervals vary among centres and are shorter for patients with a worse prognosis. The presence of prostatic symptoms, PSA level, and Gleason score influence all the clinical intervals differently.

Use of drugs with more than a twenty-four-hour duration of action

AIM: To assess compliance with a drug regimen of two doses a day compared with one a day. PATIENTS AND METHODS: A prospective crossover study was set up in a general practice environment to compare compliance on a drug regimen of once a day versus twice a day. Data were collected by electronic monitoring in 113 patients with hypertension or angina pectoris. All patients were prescribed slow-release nifedipine twice a day during the first month and then crossed to a single daily dose of amlodipine for another month. RESULTS: Compliance, defined as the proportion of days on which the correct dose was taken, improved in 30% of patients (95% confidence interval 19-41%; P < 0.001) when the patients were switched from twice a day to once a day, but at the same time there was a 15% increase (95% confidence interval 5-25%; P < 0.02) in the number of patients with one or more no-dose days. Approximately 8% of patients displayed low compliance, irrespective of the dose regimen. Actual dose intervals were used to estimate the extent and timing of periods with unsatisfactory drug activity for various hypothetical drug durations of action. CONCLUSIONS: The apparent advantage of a single daily dose in terms of compliance appears to be clinically meaningful only when the duration of activity extends beyond the dose interval in all patients.

Reference intervals for common carotid intima-media thickness measured with echotracking: relation with risk factors.

AIMS: Common carotid artery intima-media thickness (CCIMT) is widely used as a surrogate marker of atherosclerosis, given its predictive association with cardiovascular disease (CVD). The interpretation of CCIMT values has been hampered by the absence of reference values, however. We therefore aimed to establish reference intervals of CCIMT, obtained using the probably most accurate method at present (i.e. echotracking), to help interpretation of these measures. METHODS AND RESULTS: We combined CCIMT data obtained by echotracking on 24 871 individuals (53% men; age range 15-101 years) from 24 research centres worldwide. Individuals without CVD, cardiovascular risk factors (CV-RFs), and BP-, lipid-, and/or glucose-lowering medication constituted a healthy sub-population (n = 4234) used to establish sex-specific equations for percentiles of CCIMT across age. With these equations, we generated CCIMT Z-scores in different reference sub-populations, thereby allowing for a standardized comparison between observed and predicted ('normal') values from individuals of the same age and sex. In the sub-population without CVD and treatment (n = 14 609), and in men and women, respectively, CCIMT Z-scores were independently associated with systolic blood pressure [standardized βs 0.19 (95% CI: 0.16-0.22) and 0.18 (0.15-0.21)], smoking [0.25 (0.19-0.31) and 0.11 (0.04-0.18)], diabetes [0.19 (0.05-0.33) and 0.19 (0.02-0.36)], total-to-HDL cholesterol ratio [0.07 (0.04-0.10) and 0.05 (0.02-0.09)], and body mass index [0.14 (0.12-0.17) and 0.07 (0.04-0.10)]. CONCLUSION: We estimated age- and sex-specific percentiles of CCIMT in a healthy population and assessed the association of CV-RFs with CCIMT Z-scores, which enables comparison of IMT values for (patient) groups with different cardiovascular risk profiles, helping interpretation of such measures obtained both in research and clinical settings.