Riddling and invariance for discontinuous maps preserving Lebesgue measure

In this paper we use the mixture of topological and measure-theoretic dynamical approaches to consider riddling of invariant sets for some discontinuous maps of compact regions of the plane that preserve two-dimensional Lebesgue measure. We consider maps that are piecewise continuous and with invertible except on a closed zero measure set. We show that riddling is an invariant property that can be used to characterize invariant sets, and prove results that give a non-trivial decomposion of what we call partially riddled invariant sets into smaller invariant sets. For a particular example, a piecewise isometry that arises in signal processing (the overflow oscillation map), we present evidence that the closure of the set of trajectories that accumulate on the discontinuity is fully riddled. This supports a conjecture that there are typically an infinite number of periodic orbits for this system.

Comparison of measured sleeping metabolic rate and predicted basal metabolic rate during the first year of life: evidence of a bias changing with increasing metabolic rate

Objective: To compare measurements of sleeping metabolic rate (SMR) in infancy with predicted basal metabolic rate (BMR) estimated by the equations of Schofield. Methods: Some 104 serial measurements of SMR by indirect calorimetry were performed in 43 healthy infants at 1.5, 3, 6, 9 and 12 months of age. Predicted BMR was calculated using the weight only (BMR-wo) and weight and height (BMR-wh) equations of Schofield for 0-3-y-olds. Measured SMR values were compared with both predictive values by means of the Bland-Altman statistical test. Results: The mean measured SMR was 1.48 MJ/day. The mean predicted BMR values were 1.66 and 1.47 MJ/day for the weight only and weight and height equations, respectively. The Bland-Altman analysis showed that BMR-wo equation on average overestimated SMR by 0.18 MJ/day (11%) and the BMR-wh equation underestimated SMR by 0.01 MJ/day (1%). However the 95% limits of agreement were wide: - 0.64 to - 0.28MJ/day (28%) for the former equation and - 0.39 to +0.41 MJ/day (27%) for the latter equation. Moreover there was a significant correlation between the mean of the measured and predicted metabolic rate and the difference between them. Conclusions: The wide variation seen in the difference between measured and predicted metabolic rate and the bias probably with age indicates there is a need to measure actual metabolic rate for individual clinical care in this age group.

Predicting discharge outcomes for stroke patients in Australia

Objective: This study aimed to describe discharge outcomes and explore their correlates for patients rehabilitated after stroke at an Australian hospital from 1993 to 1998. Design: Data on length of stay, discharge functional status, and discharge destination were retrospectively obtained from medical records. Patients' actual rehabilitation length of stay was compared with the Australian National Sub-Acute and Non-Acute Patient predicted length of stay. The change in length of stay over the 5-yr period from 1993 to 1998 was documented. Results: Patients' mean converted motor FIMTM scores improved from 53.1 at admission to 74.1 at discharge. Lower admission-converted motor FIM scores were related to longer length of stay, lower discharge-converted motor FIM scores, and the need for a change in living situation on discharge. Conclusion: The results of this study provide Australian data on discharge outcomes after stroke to assist in the planning and delivery of appropriate interventions to individual patients during rehabilitation.

Functional assessment tools for paediatric clients with Juvenile Chronic Arthritis: An update and review for occupational therapists

Juvenile chronic arthritis (JCA) is one cause of chronic illness and disability in childhood. Traditional clinical assessment of clients with JCA include objective measures of joint deformity, joint swelling, range of motion, duration of morning stiffness, pain, walking speed, running speed and muscle strength. In many instances, these traditional measures have little or no significance or relevance to paediatric clients and their parents whereas functional skills used in everyday living are more likely to be meaningful. Measures of physical, social, and psychological functioning ensure a comprehensive health assessment. Responsible occupational therapy assessment and management of paediatric clients diagnosed with JCA requires the use of reliable, valid and sensitive measures of function. Several instruments are now available which measure a child's or adolescent's functional abilities. In this paper, JCA and the impact of JCA on functional development are reviewed. As well, seven functional assessment tools designed for use with paediatric clients with JCA which occupational therapists can use in their clinical practice will be appraised. The various characteristics of these tools are discussed in order to assist practitioners and researchers in selecting the functional instrument which best meets their needs.

Acute characteristics of pediatric dysphagia subsequent to traumatic brain injury: Videofluoroscopic assessment

Objective: To document the acute characteristics of swallowing impairment in a group of children post moderate/severe traumatic brain injury (TBI) by means of videofluoroscopy. Participants: Eighteen children with moderate/severe TBI. Main Outcome Measure: Videofluoroscopy at an average of 27.7 days post-injury. Results: Subjects demonstrated a range of dysphagia severity levels: mild-moderate (n = 8), moderate (n = 6), moderate-severe (n = 3), and severe (n = 1) and had a combination of oral and pharyngeal phase characteristics. More specifically; observable features or physiological impairments that were identified included reduced lingual control, hesitancy of tongue movement, repetitive tongue pumping, the presence of aspiration (including silent aspiration), delayed swallow reflex trigger, reduced laryngeal elevation and closure, and reduced peristalsis. Conclusions: These data highlight the diversity of swallowing deficits and dysphagia severity levels in children following TBI and suggest that the former are consistent with a pattern of oropharyngeal impairments.

Dimensionality and clinical importance of pain and disability in hand osteoarthritis: Development of the Australian/Canadian (AUSCAN) Osteoarthritis Hand Index

Objective: To develop a reliable, valid, and responsive self-administered questionnaire to probe pain, stiffness and physical disability in patients with osteoarthritis (OA) of the hand. Design: In order to assess the dimensionality of the symptomatology of hand OA, a self-administered questionnaire was developed to probe various aspects of pain (10 items), stiffness (two items), and physical function (83 items). The question inventory was generated from eight existing health status measures and an interactive process involving four rheumatologists, two physiotherapists, and an orthopaedic surgeon. Results: Face-to-face interviews were conducted with 50 OA hand patients; 39 females and 11 males with mean age 62.8 years and mean disease duration 9.4 years. Items retained were those which fulfilled specified selection criteria: prevalence greater than or equal to60% and mean importance score approximating or exceeding 2.0 Item exclusion criteria included low prevalence, gender-based, ambiguous, duplicates or similarities, alternatives, composite items, and items that were too restrictive. This process resulted in five pain, one stiffness and nine function items which have been proposed for incorporation in the AUSCAN Index. Conclusions: Using a traditional development strategy, we have constructed a self-administered multi-dimensional outcome measure for assessing hand OA. The next stage includes reliability, validity and responsiveness testing of the 15-item questionnaire. (C) 2002 OsteoArthritis Research Society Intenational. Published by Elsevier Science Ltd. All rights reserved.

Development of a measure of coping with multiple sclerosis caregiving

Development of a self-report measure of coping specific to multiple sclerosis (MS) caregiving is needed to advance our understanding of the role of coping in adaptation to caring for a person with MS and to contribute to a lack of empirical data on MS caregiving. A total of 213 MS caregivers and their care recipients completed a Coping with MS Caregiving Inventory (CMSCI) and measures of adjustment (psychological distress), appraisal and illness. A subsample (n = 64) also completed the Ways of Coping Checklist (WCC) and additional adjustment measures (depression, caregiving impact. dyadic adjustment, and relationship conflict and reciprocity). Factor analyses revealed 5 factors: Supportive Engagement, Criticism and Coercion, Practical Assistance, Avoidance, and Positive Reframing. Subscales had internal reliabilities comparable to similar scales and were empirically distinct. Preliminary construct validation data are consistent with recent MS caregiving research that links passive avoidant emotion-focused coping with poorer adjustment, and relationship-focused coping caregiving research that links greater reliance on positive relationship-focused coping and less reliance on criticism with better adjustment. Results extend this research by revealing new relations between coping and adaptation to MS caregiving. Convergent validation data suggest that although the inventory differs from the WCC, it does share certain conceptual similarities with this scale.

The development and psychometric properties of a measure of social and adaptive functioning for children and adolescents

Developed, piloted, and examined the psychometric properties of the Child and Adolescent Social and Adaptive Functioning Scale (CASAFS), a self-report measure designed to examine the social functioning of young people in the areas of school performance, peer relationships, family relationships, and home duties/self-care. The findings of confirmatory and exploratory factor analysis support a 4-factor solution consistent with the hypothesized domains. Fit indexes suggested that the 4-correlated factor model represented a satisfactory solution for the data, with the covariation between factors being satisfactorily explained by a single, higher order factor reflecting social and adaptive functioning in general. The internal consistency and 12-month test-retest reliability of the total scale was acceptable. A significant, negative correlation was found between the CASAFS and a measure of depressive symptoms, showing that high levels of social functioning are associated with low levels of depression. Significant differences in CASAFS total and subscale scores were found between clinically depressed adolescents and a matched sample of nonclinical controls. Adolescents who reported elevated but subclinical levels of depression also reported lower levels of social functioning in comparison to nonclinical controls.

Impact numbers in health policy decisions

Objective: To outline the major methodological issues appropriate to the use of the population impact number (PIN) and the disease impact number (DIN) in health policy decision making. Design: Review of literature and calculation of PIN and DIN statistics in different settings. Setting: Previously proposed extensions to the number needed to treat (NNT): the DIN and the PIN, which give a population perspective to this measure. Main results: The PIN and DIN allow us to compare the population impact of different interventions either within the same disease or in different diseases or conditions. The primary studies used for relative risk estimates should have outcomes, time periods and comparison groups that are congruent and relevant to the local setting. These need to be combined with local data on disease rates and population size. Depending on the particular problem, the target may be disease incidence or prevalence and the effects of interest may be either the incremental impact or the total impact of each intervention. For practical application, it will be important to use sensitivity analyses to determine plausible intervals for the impact numbers. Conclusions: Attention to various methodological issues will permit the DIN and PIN to be used to assist health policy makers assign a population perspective to measures of risk.

Cholesterol-lowering therapy with pravastatin in patients with average cholesterol levels and established ischaemic heart disease: is it cost-effective?

Objective: To measure the cost-effectiveness of cholesterol-lowering therapy with pravastatin in patients with established ischaemic heart disease and average baseline cholesterol levels. Design: Prospective economic evaluation within a double-blind randomised trial (Long-Term Intervention with Pravastatin in Ischaemic Disease [LIPID]), in which patients with a history of unstable angina or previous myocardial infarction were randomised to receive 40 mg of pravastatin daily or matching placebo. Patients and setting: 9014 patients aged 35-75 years from 85 centres in Australia and New Zealand, recruited from June 1990 to December 1992. Main outcome measures: Cost per death averted, cost per life-year gained, and cost per quality-adjusted life-year gained, calculated from measures of hospitalisations, medication use, outpatient visits, and quality of life. Results: The LIPID trial showed a 22% relative reduction in all-cause mortality (P < 0.001). Over a mean follow-up of 6 years, hospital admissions for coronary heart disease and coronary revascularisation were reduced by about 20%. Over this period, pravastatin cost $A4913 per patient, but reduced total hospitalisation costs by $A1385 per patient and other long-term medication costs by $A360 per patient. In a subsample of patients, average quality of life was 0.98 (where 0 = dead and 1 = normal good health); the treatment groups were not significantly different. The absolute reduction in all-cause mortality was 3.0% (95% CI, 1.6%-4.4%), and the incremental cost was $3246 per patient, resulting in a cost per life saved of $107730 (95% Cl, $68626-$209881) within the study period. Extrapolating long-term survival from the placebo group, the undiscounted cost per life-year saved was $7695 (and $10 938 with costs and life-years discounted at an annual rate of 5%). Conclusions: Pravastatin therapy for patients with a history of myocardial infarction or unstable angina and average cholesterol levels reduces all-cause mortality and appears cost effective compared with accepted treatments in high-income countries.

A novel bioassay for human somatogenic activity in serum samples supports the clinical reliability of immunoassays

OBJECTIVE Because there is discordance between different immunoassay values for serum hGH, and because clinical state may not correlate with immunoreactive hGH, we have developed an assay to accurately measure serum hGH somatogenic bioactivity. The results of this assay were compared with the Elegance two-site ELISA assay across 135 patient samples in a variety of clinical states. DESIGN The somatogenic assay was based on stable expression of hGH receptor in the murine BaF line, allowing these cells to proliferate in response to hGH. To eliminate interference by other growth factors in serum, we created a specific antagonist of the hGH receptor (similar to Trovert or Pegvisomant) which allowed us to obtain a true measure of hGH somatogenic activity by subtraction of the activity in the presence of the antagonist. The assay was carried out in microtiter plates over 24 h, with oxidation of a chromogenic tetrazolium salt (MTT) as the endpoint. PATIENTS These encompassed a number of different clinical conditions related to short stature, including idiopathic short stature, neurosecretory dysfunction and renal failure, as well as obese patients on dietary restriction and normal volunteers. MEASUREMENTS In addition to the colourimetric (MTT) response to hGH, we measured free hGH by stripping out GHBP-bound hGH using beads coupled to a monoclonal antibody to the GHBP (GH binding protein). All samples were measured in both bioassay and ELISA assay. RESULTS This bioassay was sensitive (5 mU/l or 2 mug/l) and precise, and not subject to interference by the GHBP. There was a good correlation (r = 0.95) between bioactivity and immunoactivity across clinical states. There was, however, an increased bioactivity during secretory peaks (over 25 mU/l), which has been reported previously for the Nb2 bioassay. Free hGH did not correlate with clinical state. CONCLUSIONS Because the results of the Elegance ELISA and the bioassay correlate well, even though there is greater bioactivity at higher hormone concentrations, it is evident that an appropriate immunoassay is able to act as a reliable indicator for clinical assessment. In those rare cases where bio-inactive GH exists, our bioassay should provide an appropriate means to demonstrate this.