Proximal methods for nonlinear programming: double regularization and inexact subproblems

This paper describes the first phase of a project attempting to construct an efficient general-purpose nonlinear optimizer using an augmented Lagrangian outer loop with a relative error criterion, and an inner loop employing a state-of-the art conjugate gradient solver. The outer loop can also employ double regularized proximal kernels, a fairly recent theoretical development that leads to fully smooth subproblems. We first enhance the existing theory to show that our approach is globally convergent in both the primal and dual spaces when applied to convex problems. We then present an extensive computational evaluation using the CUTE test set, showing that some aspects of our approach are promising, but some are not. These conclusions in turn lead to additional computational experiments suggesting where to next focus our theoretical and computational efforts.

Mother and toddler activity in the zone of proximal development for pretend play as a predictor of higher child IQ

This study investigated the pretend play of mother—toddler dyads in relation to later child IQ. Twenty-one toddlers were videotaped in monthly play sessions with their mothers, from age 8 to 17 months, and later assessed at 5 years of age on the Stanford-Binet IV. Children's and mothers' pretend play levels and frequencies were measured using Brown's (1997) Pretend Play Observation Scale. Dyadic play activity was analyzed using the conceptual frameworks of scaffolding and Vygotsky's Zone of Proximal Development (ZPD). Toddlers later assessed as having higher IQ demonstrated more rapid learning in the ZPD for pretend play and experienced earlier maternal transfer of responsibility for play. These findings support other evidence on the differential early development of high ability or gifted children and the role of caregiver interactions in that development.

Putting the Research to Use: This study provides evidence that gifted children show differential development, in this case more rapid learning, from the first year of life. It also demonstrates how responsive parental interactions can support this advanced development. For family and professional caregivers, the findings imply that optimum caregiving for the young gifted child involves interactions that are both responsive to individual potential and appropriately challenging. In regard to the methodological challenges of researching early giftedness, the study demonstrated that the constructs of the ZPD and scaffolding were useful frameworks for investigating early gifted development and caregiver influences on that development. Pretend play activity was also shown to be an effective measure and a useful context for the study of gifted development in infants and toddlers. It would be valuable for future researchers in this area to utilize similar approaches that are grounded in the unique developmental characteristics of young children, and that aim to account for the interactive contexts that are so important in children's lives. The field of gifted education, in general, would also benefit from an increased awareness and exploration of the role of play in the development of intellect, imagination and creativity.

Attributes for Australian mechanical engineers through proximal and distance education

The 1996 Johnson stakeholder review of Australian engineering education recommended the development of a number of broadly defined attributes in all engineering graduates. The Institution of Engineers, Australia (now Engineers Australia) responded swiftly by switching the focus of its engineering course accreditation requirements from course content to graduate attribute outcomes. To maximise the effectiveness of this approach to the mechanical engineering discipline a clear understanding of the relative significance of a more detailed range of attributes to Australian industry is essential, yet the scope of the mechanical engineering profession is broad and views of individual practitioners contributing to debate on attribute requirements are largely influenced by their own often unique professional formation. The research presented in this thesis is unique in using a role based analysis of the relative significance of an extensive range of attributes considered relevant to Australian mechanical engineers. The study covers the six industries found to employ the greatest number of Australian mechanical engineers. The significance of these attributes in the core mechanical engineering roles of each industry are weighted according to the numbers of mechanical engineers employed in those roles. These attribute significance profiles are considered in the context of a study of the formative development of the profession under the extensive influence of 19th and 20th century UK and US practices and recent momentous changes in engineering employment and formation. A wide range of appropriate teaching strategies to develop the most significant attributes through proximal and distance learning are explored and a brief account of the candidate’s work in developing and assessing the use of technology to enhance flexible learning in the field of engineering education is also included in this thesis. Whilst major areas of the mechanical engineers knowledge base are considered as part of the main study, further case study based research is presented to assess in more detail the knowledge base requirements for Australia’s best performing manufacturing industry by ‘industry value added’ - Food, Beverage and Pharmaceuticals and as such provides an indication of the relevance of the content base of Australian mechanical (as well as chemical and electrical) engineering degree programs to an Australian industry sector.

Fruit and vegetable consumption and the risk of proximal colon, distal colon and rectal cancers in a case-control study in Western Australia

Background Fruits and vegetables (F/V) have been examined extensively in nutrition research in relation to colorectal cancer (CRC). However, their protective effect is subject to debate, possibly because of different effects on different subsites of the large bowel.

Objective To determine whether any association between F/V consumption and risk of CRC differed by subsite of the bowel (proximal colon, distal colon, and rectum).

Design The Western Australian Bowel Health Study is a population-based, case-control study conducted between June 2005 and August 2007. Complete food frequency questionnaire data were analysed from 834 CRC cases and 939 controls. Logistic regression analysis was used to estimate the effects of quartiles of F/V intake on risk of CRC at different subsites. Odds ratios (OR) and 95% confidence intervals (CI) were calculated for CRC overall and for the three separate subsites.

Results Risk of proximal colon cancer and rectal cancer was not associated with intakes of total F/V, total vegetable, or total fruit. Brassica vegetable intake was inversely related with proximal colon cancer (Q4 vs Q1 OR 0.62; 95% CI 0.41 to 0.93). For distal colon cancer, significant negative trends were seen for total F/V, and total vegetable intake. Distal colon cancer risk was significantly decreased for intake of dark yellow vegetables (Q4 vs Q1 OR 0.61; 95% CI 0.41 to 0.92) and apples (Q4 vs Q1 OR 0.51; 95% CI 0.34 to 0.77). An increased risk for CRC was found to be associated with intake of fruit juice (Q4 vs Q1 OR 1.74; 95% CI 1.24 to 2.45).

Conclusions Our results suggest that different F/V may confer different risks for cancer of the proximal colon, distal colon, or rectum. Future studies might consider taking into account the location of the tumor when examining the relation between F/V consumption and risk of CRC.

Primary hemiarthroplasty for treatment of proximal humeral fractures

Background: Primary hemiarthroplasty of the shoulder is used to treat complex proximal humeral fractures, although the reported functional results following this method of treatment have varied widely. The aim of this study was to prospectively assess the prosthetic survival and functional outcomes in a large series of patients treated with shoulder hemiarthroplasty for a proximal humeral fracture. By determining the factors that affected the outcome, we also aimed to produce models that could be used clinically to estimate the functional outcome at one year following surgery.

Methods: A thirteen-year observational cohort study of 163 consecutive patients treated with hemiarthroplasty for a proximal humeral fracture was performed. Twenty-five patients died or were lost to follow-up in the first year after treatment, leaving 138 patients who had assessment of shoulder function with use of the modified Constant score at one year postinjury.

Results: The overall rate of prosthetic survival was 96.9% at one year, 95.3% at five years, and 93.9% at ten years. The overall median modified Constant score was 64 points at one year, with a typically good score for pain relief (median, 15 points) and poorer scores, with a greater scatter of values, for function (median, 12 points), range of motion (median, 24 points), and muscle power (median, 14 points). Of the factors that were assessed immediately after the injury, only patient age, the presence of a neurological deficit, tobacco usage, and alcohol consumption were significantly predictive of the one-year Constant score (p < 0.05). Of the factors that were assessed at six weeks postinjury, those that predicted the one-year Constant score included the age of the patient, the presence of a persistent neurological deficit, the need for an early reoperation, the degree of displacement of the prosthetic head from the central axis of the glenoid seen radiographically, and the degree of displacement of the tuberosities seen radiographically.

Conclusions: Primary shoulder hemiarthroplasty performed for the treatment of a proximal humeral fracture in medically fit and cooperative adults is associated with satisfactory prosthetic survival at an average of 6.3 years. Although the shoulder is usually free of pain following this procedure, the overall functional result, in terms of range of motion, function, and power, at one year varies. A good functional outcome can be anticipated for a younger individual who has no preoperative neurological deficit, no postoperative complications, and a satisfactory radiographic appearance of the shoulder at six weeks. The results are poorer in the larger group of elderly patients who undergo this procedure, especially if they have a neurological deficit, a postoperative complication requiring a reoperation, or an eccentrically located prosthesis with retracted tuberosities.

Severe impacted valgus proximal humerus fractures : results of operative treatment

Background: The functional results associated with nonoperative treatment of severely impacted valgus fractures of the proximal part of the humerus are poor, and these injuries are difficult to treat with minimally invasive percutaneous fixation techniques. The aim of this study was to review the functional and radiographic results and complications of a new operative technique in a series of twenty-five patients.

Methods: Over a two-year period, we treated twenty-nine patients with a severely impacted valgus fracture of the proximal part of the humerus. Three patients were lost to follow-up and one died, leaving twenty-five patients who were available for the study. In all of the fractures, the head-shaft angle had been tilted into =160° of valgus and the greater tuberosity was displaced by >1 cm. All patients were treated with open reduction of the fracture, and the space created behind the humeral head was filled with Norian Skeletal Repair System (SRS) bone substitute. The fractures were stabilized with either screws or buttress plate fixation. Associated rotator cuff tears were repaired. All patients underwent functional outcome assessment with use of the Constant, DASH (Disabilities of the Arm, Shoulder and Hand), and SF-36 (Short Form-36) scores at one year, and twelve patients were followed for two years.

Results: All fractures united within the first year, all reductions were maintained, and no patient had signs of osteonecrosis of the humeral head on the latest follow-up radiographs. At one year, the median Constant score was 80 points and the median DASH score was 22 points. The functional results continued to be satisfactory in the twelve patients who were followed for two years. The results in our series were better than those achieved in studies of nonoperative treatment of similar fracture configurations. There were six clinically relevant complications, although none required a reoperation and all six patients had a satisfactory short-term functional outcome.

Conclusions: Internal fixation of severely impacted valgus fractures of the proximal part of the humerus, supplemented by Norian SRS bone substitute to fill the proximal humeral metaphyseal defect, produces good early functional and radiographic outcomes. Additional follow-up will be required to assess whether these initially satisfactory outcomes are maintained over the longer term.

Level of Evidence: Therapeutic study, Level IV (case series [no, or historical, control group]). See Instructions to Authors for a complete description of levels of evidence.

Severely impacted valgus proximal humeral fractures : surgical technique

Background: The functional results associated with nonoperative treatment of severely impacted valgus fractures of the proximal part of the humerus are poor, and these injuries are difficult to treat with minimally invasive percutaneous fixation techniques. The aim of this study was to review the functional and radiographic results and complications of a new operative technique in a series of twenty-five patients.

Methods: Over a two-year period, we treated twenty-nine patients with a severely impacted valgus fracture of the proximal part of the humerus. Three patients were lost to follow-up and one died, leaving twenty-five patients who were available for the study. In all of the fractures, the head-shaft angle had been tilted into > or = 160 degrees of valgus and the greater tuberosity was displaced by >1 cm. All patients were treated with open reduction of the fracture, and the space created behind the humeral head was filled with Norian Skeletal Repair System (SRS) bone substitute. The fractures were stabilized with either screws or buttress plate fixation. Associated rotator cuff tears were repaired. All patients underwent functional outcome assessment with use of the Constant, DASH (Disabilities of the Arm, Shoulder and Hand), and SF-36 (Short Form-36) scores at one year, and twelve patients were followed for two years.

Results: All fractures united within the first year, all reductions were maintained, and no patient had signs of osteonecrosis of the humeral head on the latest follow-up radiographs. At one year, the median Constant score was 80 points and the median DASH score was 22 points. The functional results continued to be satisfactory in the twelve patients who were followed for two years. The results in our series were better than those achieved in studies of nonoperative treatment of similar fracture configurations. There were six clinically relevant complications, although none required a reoperation and all six patients had a satisfactory short-term functional outcome.

Conclusions: Internal fixation of severely impacted valgus fractures of the proximal part of the humerus, supplemented by Norian SRS bone substitute to fill the proximal humeral metaphyseal defect, produces good early functional and radiographic outcomes. Additional follow-up will be required to assess whether these initially satisfactory outcomes are maintained over the longer term.

Assessment of proximal outcomes of self-management programs : translation and psychometric evaluation of a German version of the Health Education Impact Questionnaire (heiQtm)

Purpose This paper describes the translation, cultural adaption, and psychometric evaluation of a German version of the Health Education Impact Questionnaire (heiQ™), a widely used generic instrument assessing a wide range of proximal outcomes of self-management programs.

Methods The translation was carried out according to international standards and included forward and backward translations. Comprehensibility and content validity were tested using cognitive interviews with 10 rehabilitation inpatients. Psychometric properties were examined in rehabilitation inpatients (n = 1,202) with a range of chronic conditions. Factorial validity was assessed using confirmatory factor analysis; concurrent validity was explored by correlations with comparator scales.

Results The items of the German heiQ™ were well understood by rehabilitation inpatients. The structure of the eight heiQ™ scales was replicated after minor adjustment. heiQ™ scales had higher correlations with comparator scales with similar constructs, particularly mental health concepts than with physical health. Moreover, all heiQ™ scales differentiated between individuals across different levels of depression.

Conclusion The German heiQ™ is comprehensible for German-speaking patients suffering from different types of chronic conditions; it assesses relevant outcomes of self-management programs in a reliable and valid manner. Further studies involving its practical application are warranted.

Towards a cultural historical theory of knowledge mapping: collaboration and activity in the zone of proximal development

This chapter locates knowledge mapping within the theoretical framework of cultural historical activity theory. Cultural historical activity theory provides an analytic tool for understanding how knowledge maps can act as “stimuli-means”: a cultural artefact that can mediate the performance of subjects (Vygotsky, 1978 ). Knowledge maps possess Vygotsky’s double nature: they not only enable students to enact academic practice but also allow refl ection on that practice. They enable students to build an “internal cognitive schematisation of that practice” (Guile, 2005 , p.127). Further, cultural historical activity theory gives the tools to analyse the social context of our use of knowledge maps and thus consider the mediating rules (tacit and explicit) and division of labour that mediate our use of knowledge maps. Knowledge maps can be viewed as acting within Brandom’s ( 2000 ) space of reasons , which allows learners to use reasons to develop and exchange judgements based on shareable, theoretically articulated concepts and collectively develop the ability to restructure their knowledge and enact these judgements (Guile, 2011 ). In particular multimodal collaborative knowledge maps can act as Vygotsky’s (Vygotsky, 1978 ) zone of proximal development , where teacher and peer-to-peer interaction allow students to solve problems and learn concepts and skills that they would be otherwise unable to tackle.

Fixed-angle locking proximal humerus plate: an evaluation of functional results and implant-related outcomes

Background
Displaced and unstable proximal humeral fractures are challenging injuries to treat. Proximal humeral locking plates are a recent development for the treatment of these complex fractures.

Methods
Retrospective analysis of 23 patients with 23 proximal humeral fractures treated with the Synthes locking proximal humerus plate. These were Neer two-, three- and four-part fractures. Follow-up was at a mean of 22 months and included clinical assessment using the Constant score (CS) and the Short Form-12 health questionnaire. Radiographic assessment was performed to assess implant-related complication in relation to the initial fracture pattern and the presence of adequate medial support.

Results
The mean CS for all patients was 60.4 (range, 29–85). The mean adjusted CS was 82% (range, 30–117), active forward flexion 127 degrees and the active abduction 115 degrees. Initial fracture pattern, the presence or absence of adequate medial support and age did not significantly influence the clinical scores. Complications included one infection, two cases of avascular necrosis, two cases of varus collapse with screw penetration and one non-union. The overall reoperation rate was 26%. There was an increased rate of complications in those with inadequate medial support (P = 0.0183) and a trend to higher complication rates in four-part fractures.

Conclusion
Using the locking proximal humerus plate for the treatment of proximal humeral fractures is an acceptable procedure with comparable outcomes with historical controls, but with a complication rate of 30%. More important than implant selection, however, is the ability to achieve a stable reduction with calcar support.

Interobserver reliability of classification and characterization of proximal humeral fractures: a comparison of two and three-dimensional CT

Interobserver reliability for the classification of proximal humeral fractures is limited. The aim of this study was to test the null hypothesis that interobserver reliability of the AO classification of proximal humeral fractures, the preferred treatment, and fracture characteristics is the same for two-dimensional (2-D) and three-dimensional (3-D) computed tomography (CT). Members of the Science of Variation Group--fully trained practicing orthopaedic and trauma surgeons from around the world--were randomized to evaluate radiographs and either 2-D CT or 3-D CT images of fifteen proximal humeral fractures via a web-based survey and respond to the following four questions: (1) Is the greater tuberosity displaced? (2) Is the humeral head split? (3) Is the arterial supply compromised? (4) Is the glenohumeral joint dislocated? They also classified the fracture according to the AO system and indicated their preferred treatment of the fracture (operative or nonoperative). Agreement among observers was assessed with use of the multirater kappa (κ) measure. Interobserver reliability of the AO classification, fracture characteristics, and preferred treatment generally ranged from "slight" to "fair." A few small but statistically significant differences were found. Observers randomized to the 2-D CT group had slightly but significantly better agreement on displacement of the greater tuberosity (κ = 0.35 compared with 0.30, p < 0.001) and on the AO classification (κ = 0.18 compared with 0.17, p = 0.018). A subgroup analysis of the AO classification results revealed that shoulder and elbow surgeons, orthopaedic trauma surgeons, and surgeons in the United States had slightly greater reliability on 2-D CT, whereas surgeons in practice for ten years or less and surgeons from other subspecialties had slightly greater reliability on 3-D CT. Proximal humeral fracture classifications may be helpful conceptually, but they have poor interobserver reliability even when 3-D rather than 2-D CT is utilized. This may contribute to the similarly poor interobserver reliability that was observed for selection of the treatment for proximal humeral fractures. The lack of a reliable classification confounds efforts to compare the outcomes of treatment methods among different clinical trials and reports.