An analytical method to solve a general class of nonlinear reactive transport models

Three recent papers published in Chemical Engineering Journal studied the solution of a model of diffusion and nonlinear reaction using three different methods. Two of these studies obtained series solutions using specialized mathematical methods, known as the Adomian decomposition method and the homotopy analysis method. Subsequently it was shown that the solution of the same particular model could be written in terms of a transcendental function called Gauss’ hypergeometric function. These three previous approaches focused on one particular reactive transport model. This particular model ignored advective transport and considered one specific reaction term only. Here we generalize these previous approaches and develop an exact analytical solution for a general class of steady state reactive transport models that incorporate (i) combined advective and diffusive transport, and (ii) any sufficiently differentiable reaction term R(C). The new solution is a convergent Maclaurin series. The Maclaurin series solution can be derived without any specialized mathematical methods nor does it necessarily involve the computation of any transcendental function. Applying the Maclaurin series solution to certain case studies shows that the previously published solutions are particular cases of the more general solution outlined here. We also demonstrate the accuracy of the Maclaurin series solution by comparing with numerical solutions for particular cases.

Corporate governance in China

So far as Asia is concerned, corporate governance is an import. The concept itself was virtually unknown in China ¬a decade ago. Yet corporate governance has now been enthusiastically embraced in China, to the point that the year 2005 was declared the Year of Corporate Governance and extensive amendments have been made to several laws and regulations with an emphasis on corporate governance. This essay will consider the effectiveness of China’s corporate governance law on paper and in practice with the OECD’s Principles of Corporate Governance acting as a general guide.

Why teaching about Asia matters in higher education

I commence this opinion piece with specific reference to the Gillard Government's decision to cut funding for the Australian Learning and Teaching Council (ALTC)in 2011. I then consider impact of this decision on quality teaching in higher education with specific reference to Studies of Asia. In particular, I reflect on the teaching of Asian languages and cultures in Australia since the 1970 Auchmuty report, and conclude that despite the efforts of policy makers, not much has really changed. In doing so, I emphasise the importance of quality teaching in higher education for inspiring students to challenge their cultural assumptions and to prompt them to develop new views of the world.

Body-site distribution of skin cancer, pre-malignant and common benign pigmented lesions excised in general practice

Background Concern about skin cancer is a common reason for people from predominantly fair-skinned populations to present to primary care doctors. Objectives To examine the frequency and body-site distribution of malignant, pre-malignant and benign pigmented skin lesions excised in primary care. Methods This prospective study conducted in Queensland, Australia, included 154 primary care doctors. For all excised or biopsied lesions, doctors recorded the patient's age and sex, body site, level of patient pressure to excise, and the clinical diagnosis. Histological confirmation was obtained through pathology laboratories. Results Of 9650 skin lesions, 57·7% were excised in males and 75·0% excised in patients ≥50years. The most common diagnoses were basal cell carcinoma (BCC) (35·1%) and squamous cell carcinoma (SCC) (19·7%). Compared with the whole body, the highest densities for SCC, BCC and actinic keratoses were observed on chronically sun-exposed areas of the body including the face in males and females, the scalp and ears in males, and the hands in females. The density of BCC was also high on intermittently or rarely exposed body sites. Females, younger patients and patients with melanocytic naevi were significantly more likely to exert moderate/high levels of pressure on the doctor to excise. Conclusions More than half the excised lesions were skin cancer, which mostly occurred on the more chronically sun-exposed areas of the body. Information on the type and body-site distribution of skin lesions can aid in the diagnosis and planned management of skin cancer and other skin lesions commonly presented in primary care.

The Chronic Heart-Failure Assistance by Telephone (CHAT) Study: Assessment of Telephone Support for Vulnerable Patients with Chronic Disease

Aim: To determine whether telephone support using an evidence-based protocol for chronic heart failure (CHF) management will improve patient outcomes and will reduce hospital readmission rates in patients without access to hospital-based management programs. Methods: The rationale and protocol for a cluster-design randomised controlled trial (RCT) of a semi-automated telephone intervention for the management of CHF, the Chronic Heart-failure Assistance by Telephone (CHAT) Study is described. Care is coordinated by trained cardiac nurses located in Heartline, the national call center of the National Heart Foundation of Australia in partnership with patients’ general practitioners (GPs). Conclusions: The CHAT Study model represents a potentially cost-effective and accessible model for the Australian health system in caring for CHF patients in rural and remote areas. The system of care could also be readily adapted for a range of chronic diseases and health systems. Key words: chronic disease management; chronic heart failure; integrated health care systems; nursing care, rural health services; telemedicine; telenursing

What We Have Here is a Failure to Communicate! Improving Communication between Tertiary to Primary Care for Chronic Heart Failure Patients

Background:  The aims of this study were to determine the documentation of pharmacotherapy optimization goals in the discharge letters of patients with the principal diagnosis of chronic heart failure. Methods:  A retrospective practice audit of 212 patients discharged to the care of their local general practitioner from general medical units of a large tertiary hospital. Details of recommendations regarding ongoing pharmacological and non-pharmacological management were reviewed. The doses of medications on discharge were noted and whether they met current guidelines recommending titration of angiotensin-converting enzyme inhibitors and beta-blockers. Ongoing arrangements for specialist follow up were also reviewed. Results:  The mean age of patients whose letters were reviewed was 78.4 years (standard deviation ± 8.6); 50% were men. Patients had an overall median of six comorbidities and eight regular medications on discharge. Mean length of stay for each admission was 6 days. Discharge letters were posted a median of 4 days after discharge, with 25% not posted at 10 days. No discharge letter was sent in 9.4% (20) of the cases. Only six (2.8%) letters had any recommendations regarding future titration of angiotensin-converting enzyme inhibitors and 6.6% (14) for beta-blockers. Recommendations for future non-pharmacological management, for example, diuretic action plans, regular weight monitoring and exercise plans were not found in the letters in this audit. Conclusion:  Hospital discharge is an opportunity to communicate management plans for treatment optimization effectively, and while this opportunity is spurned, implementation gaps in the management of cardiac failure will probably remain.

Health professionals' recognition of co-occurring alcohol and depressive disorders in youth: a survey of Australian general practitioners, psychiatrists, psychologists and mental health nurses using case vignettes

Objective: To examine whether health professionals who commonly deal with mental disorder are able to identify co occurring alcohol misuse in young people presenting with depression. Method: Between September 2006 and January 2007, a survey examining beliefs regarding appropriate interventions for mental disorder in youth was sent to 1710 psychiatrists, 2000 general practitioners (GPs), 1628 mental health nurses, and 2000 psychologists in Australia. Participants within each professional group were randomly given one of four vignettes describing a young person with a DSM-IV mental disorder. Herein is reported data from the depression and depression with alcohol misuse vignettes. Results: A total of 305 psychiatrists, 258 GPs, 292 mental health nurses and 375 psychologists completed one of the depression vignettes. A diagnosis of mood disorder was identified by at least 83.8% of professionals, with no significant differences noted between professional groups. Rates of reported co-occurring substance use disorders were substantially lower, particularly among older professionals and psychologists. Conclusions: GPs, psychologists and mental health professionals do not readily identify co-occurring alcohol misuse in young people with depression. Given the substantially negative impact of co-occurring disorders, it is imperative that health-care professionals are appropriately trained to detect such disorders promptly, to ensure young people have access to effective, early intervention.

A general procedure for the derivation of principal domains of higher-order spectra

A general procedure to determine the principal domain (i.e., nonredundant region of computation) of any higher-order spectrum is presented, using the bispectrum as an example. The procedure is then applied to derive the principal domain of the trispectrum of a real-valued, stationary time series. These results are easily extended to compute the principal domains of other higher-order spectra