Beyond fractional derivatives: local approximation of other convolution integrals

Dynamic systems involving convolution integrals with decaying kernels, of which fractionally damped systems form a special case, are non-local in time and hence infinite dimensional. Straightforward numerical solution of such systems up to time t needs O(t(2)) computations owing to the repeated evaluation of integrals over intervals that grow like t. Finite-dimensional and local approximations are thus desirable. We present here an approximation method which first rewrites the evolution equation as a coupled in finite-dimensional system with no convolution, and then uses Galerkin approximation with finite elements to obtain linear, finite-dimensional, constant coefficient approximations for the convolution. This paper is a broad generalization, based on a new insight, of our prior work with fractional order derivatives (Singh & Chatterjee 2006 Nonlinear Dyn. 45, 183-206). In particular, the decaying kernels we can address are now generalized to the Laplace transforms of known functions; of these, the power law kernel of fractional order differentiation is a special case. The approximation can be refined easily. The local nature of the approximation allows numerical solution up to time t with O(t) computations. Examples with several different kernels show excellent performance. A key feature of our approach is that the dynamic system in which the convolution integral appears is itself approximated using another system, as distinct from numerically approximating just the solution for the given initial values; this allows non-standard uses of the approximation, e. g. in stability analyses.

Looking at the other side: Families, public health and anti-vaccination

The choice to vaccinate or not to vaccinate a child is usually an ‘informed decision’, however, it is how this decision is informed which is of most importance. More frequently, families are turning to the Internet, in particular social media, as a data source to support their decisions. However, much of the online information may be unscientific or biased. While issues such as vaccination will always see dissenting voices, engaging with that ‘other side’ is difficult in the public policy debate which is informed by evidence based science. This chapter investigates the other side in light of the growing adoption and reliance on social media as a source of anti-vaccine information. The study adopts a qualitative approach to data collection and is based on a critical discourse analysis of online social media discourse. The findings demonstrate the valuable contribution this approach can make to public policy work in vaccination.

Interdependence between Greece and other European stock markets: A comparison of wavelet and VMD copula, and the portfolio implications

The interdependence of Greece and other European stock markets and the subsequent portfolio implications are examined in wavelet and variational mode decomposition domain. In applying the decomposition techniques, we analyze the structural properties of data and distinguish between short and long term dynamics of stock market returns. First, the GARCH-type models are fitted to obtain the standardized residuals. Next, different copula functions are evaluated, and based on the conventional information criteria and time varying parameter, Joe-Clayton copula is chosen to model the tail dependence between the stock markets. The short-run lower tail dependence time paths show a sudden increase in comovement during the global financial crises. The results of the long-run dependence suggest that European stock markets have higher interdependence with Greece stock market. Individual country’s Value at Risk (VaR) separates the countries into two distinct groups. Finally, the two-asset portfolio VaR measures provide potential markets for Greece stock market investment diversification.

Sitagliptin and other ‘gliptins’ - why prescribe them?

Introduction In 2008, the Federal Drug Administration (FDA) required all new glucose-lowering therapies to show cardiovascular safety, and this applies to the dipeptidyl peptidase (DPP)-4 inhibitors (‘gliptins’). At present, there is contradictory evidence on whether the gliptins increase hospitalizations for heart failure. Areas covered This is an evaluation of the Trial Evaluating Cardiovascular Outcomes with Sitagliptin (TECOS) in high risk cardiovascular subjects with type 2 diabetes [1]. TECOS demonstrated non-inferiority for sitagliptin over placebo for the primary outcome, which was cardiovascular death, nonfatal myocardial infarction, nonfatal stroke, or hospitalization for unstable angina. There was no difference in the rate of hospitalization for heart failure between sitagliptin and placebo. Expert Opinion Despite the results of TECOS, debate over the effects of sitagliptin on the rates of hospitalizations for heart failure continues with some recent studies suggesting increased rates. Recently, empagliflozin (an inhibitor of sodium-glucose cotransporter 2) has been shown to reduce cardiovascular outcomes in subjects with type 2 diabetes, including the rates of hospitalization for heart failure. In our opinion, these positive findings with empagliflozin suggest that it should be prescribed in preference to the gliptins, including sitagliptin, unless any positive cardiovascular outcomes are reported for the gliptins.

Inhibition of CYP1A2-mediated drug metabolism in vitro and in humans : With special emphasis on rofecoxib and other NSAIDs

The cytochrome P450 1A2 (CYP1A2) is one of the major metabolizing enzymes. The muscle relaxant tizanidine is a selective substrate of CYP1A2, and the non-steroidal anti-inflammatory drug (NSAID) rofecoxib was thought to modestly in-hibit it. Cases suggesting an interaction between tizanidine and rofecoxib had been reported, but the mechanism was unknown. Also other NSAIDs are often used in combination with muscle relaxants. The aims of this study were to investigate the effect of rofecoxib, several other NSAIDs and female sex steroids on CYP1A2 ac-tivity in vitro and in vivo, and to evaluate the predictability of in vivo inhibition based on in vitro data. In vitro, the effect of several NSAIDs, female sex steroids and model inhibitors on CYP1A2 activity was studied in human liver microsomes, without and with preincubation. In placebo controlled, cross-over studies healthy volunteers ingested a single dose of tizanidine after a pretreament with the inhibitor (rofecoxib, tolfenamic acid or celecoxib) or placebo. Plasma (and urine) concentrations of tizanidine and its metabolites were measured, and the pharmacodynamic effects were recorded. A caffeine test was also performed. In vitro, fluvoxamine, tolfenamic acid, mefenamic acid and rofecoxib potently in-hibited CYP1A2. Ethinylestradiol, celecoxib, desogestrel and zolmitriptan were moderate, and etodolac, ciprofloxacin, etoricoxib and gestodene were weak inhibi-tors of CYP1A2. At 100 µM, other tested NSAIDs and steroids inhibited CYP1A2 less than 35%. Rofecoxib was found to be a mechanism-based inhibitor of CYP1A2. In vivo, rofecoxib greatly increased the plasma concentrations (over ten-fold) and the pharmacodynamic effects of tizanidine. Also the metabolism of caf-feine was impaired by rofecoxib. Despite the relatively strong in vitro CYP1A2 inhibitory effects, tolfenamic acid and celecoxib did not have a significant effect on tizanidine and caffeine concentrations in humans. Competitive inhibition model and the free plasma concentration of the inhibitor predicted well the effect of fluvoxam-ine and the lack of effect of tolfenamic acid and celecoxib on tizanidine concentra-tions in humans, and mechanism-based inhibition model explained the effects of rofecoxib. However, the effects of ciprofloxacin and oral contraceptives were un-derestimated from the in vitro data. Rofecoxib is a potent mechanism-based inhibitor of CYP1A2 in vitro and in vivo. This mechanism may be involved in the adverse cardiovascular effects of rofecoxib. Tolfenamic acid and celecoxib seem to be safe in combination with tizanidine, but mefenamic acid might have some effect on tizanidine concentrations in vivo. Con-sidering the mechanism of inhibition, and using the free plasma concentration of the inhibitor, many but not all CYP1A2 interactions can be predicted from in vitro data.

Characterization of the carbonic anhydrase gene family and other key osmoregulatory genes in Australian freshwater crayfish (genus Cherax)

Cherax quadricarinatus (Redclaw), C. destructor (Yabby) and C. cainii (Marron) are a group of economically important freshwater crayfish and have been developed for aquaculture production in many countries. As crayfish are farmed in a wide range of culture conditions, optimisation of water quality parameters, are crucial for their maximum growth performance. Previous reports have shown that fluctuations in water quality can negatively impact on growth of crayfish. Therefore, this project aims to identify and characterize the major genes that enable freshwater crayfish to persist in different water chemistries and evaluate their patterns of expression under different water parameters. Overall, this project found a number of candidate genes in all three species and determined that water chemistry had a strong influence on the expression of candidate genes. This information is important in the optimization of water quality parameters in freshwater crayfish aquaculture production.

Dimethyl sulfide and other biogenic volatile organic compound emissions from branching coral and reef seawater: Potential sources of secondary aerosol over the Great Barrier Reef

Volatile organic compounds (VOCs) in the headspace of bubble chambers containing branches of live coral in filtered reef seawater were analysed using gas chromatography with mass spectrometry (GC-MS). When the coral released mucus it was a source of dimethyl sulfide (DMS) and isoprene; however, these VOCs were not emitted to the chamber headspace from mucus-free coral. This finding, which suggests that coral is an intermittent source of DMS and isoprene, was supported by the observation of occasional large pulses of atmospheric DMS (DMSa) over Heron Island reef on the southern Great Barrier Reef (GBR), Australia, in the austral winter. The highest DMSa pulse (320 ppt) was three orders of magnitude less than the DMS mixing ratio (460 ppb) measured in the headspace of a dynamically purged bubble chamber containing a mucus-coated branch of Acropora aspera indicating that coral reefs can be strong point sources of DMSa. Static headspace GC-MS analysis of coral fragments identified mainly DMS and seven other minor reduced sulfur compounds including dimethyl disulfide, methyl mercaptan, and carbon disulfide, while coral reef seawater was an indicated source of methylene chloride, acetone, and methyl ethyl ketone. The VOCs emitted by coral and reef seawater are capable of producing new atmospheric particles < 15 nm diameter as observed at Heron Island reef. DMS and isoprene are known to play a role in low-level cloud formation, so aerosol precursors such as these could influence regional climate through a sea surface temperature regulation mechanism hypothesized to operate over the GBR.

Older male and female drivers in car-dependent settings: How much do they use other modes, and do they compensate for reduced driving to maintain mobility?

Among the societal and health challenges of population ageing is the continued transport mobility of older people who retain their driving licence, especially in highly car-dependent societies. While issues surrounding loss of a driving licence have been researched, less attention has been paid to variations in physical travel by mode among the growing proportion of older people who retain their driving licence. It is unclear how much they reduce their driving with age, the degree to which they replace driving with other modes of transport, and how this varies by age and gender. This paper reports research conducted in the state of Queensland, Australia, with a sample of 295 older drivers (>60 years). Time spent driving is considerably greater than time spent as a passenger or walking across age groups and genders. A decline in travel time as a driver with increasing age is not redressed by increases in travel as a passenger or pedestrian. The patterns differ by gender, most likely reflecting demographic and social factors. Given the expected considerable increase in the number of older women in particular, and their reported preference not to drive alone, there are implications for policies and programmes that are relevant to other car-dependent settings. There are also implications for the health of older drivers, since levels of walking are comparatively low.

Review of Diagnostic Screening Instruments for Alcohol and Other Drug Use and Other Psychiatric Disorders

In recent years there has been a growing recognition that many people with drug or alcohol problems are also experiencing a range of other psychiatric and psychological problems. The presence of concurrent psychiatric or psychological problems is likely to impact on the success of treatment services. These problems vary greatly, from undetected major psychiatric illnesses that meet internationally accepted diagnostic criteria such as those outlined in the Diagnostic and Statistical Manual (DSM-IV) of the American Psychiatric Association (1994), to less defined feelings of low mood and anxiety that do not meet diagnostic criteria but nevertheless impact on an individual’s sense of wellbeing and affect their quality of life. Similarly, the presence of a substance misuse problem among those suffering from a major psychiatric illness, often goes undetected. For example, the use of illicit drugs such as cannabis and amphetamine is higher among those individuals suffering from schizophrenia (Hall, 1992) and the misuse of alcohol in people suffering from schizophrenia is well documented (e.g., Gorelick et al., 1990; Searles et al., 1990; Soyka et al., 1993). High rates of alcohol misuse have also been reported in a number of groups including women presenting for treatment with a primary eating disorder (Holderness, Brooks Gunn, & Warren, 1994), individuals suffering from post-traumatic stress disorder (Seidel, Gusman and Aubueg, 1994), and those suffering from anxiety and depression. Despite considerable evidence of high levels of co-morbidity, drug and alcohol treatment agencies and mainstream psychiatric services often fail to identify and respond to concurrent psychiatric or drug and alcohol problems, respectively. The original review was conducted as a first step in providing clinicians with information on screening and diagnostic instruments that may be used to assess previously unidentified co-morbidity. The current revision was conducted to extend the original review by updating psychometric findings on measures in the original review, and incorporating other frequently used measures that were not previously included. The current revision has included information regarding special populations, specifically Indigenous Australians, older persons and adolescents. The objectives were to: ● update the original review of AOD and psychiatric screening/diagnostic instruments, ● recommend when these instruments should be used, by whom and how they should be interpreted, ● identify limitations and provide recommendations for further research, ● refer the reader to pertinent Internet sites for further information and/or purchasing of assessment instruments.

Transcriptome analysis and characterisation of gill-expressed carbonic anhydrase and other key osmoregulatory genes in freshwater crayfish Cherax quadricarinatus

The pH and salinity balance mechanisms of crayfish are controlled by a set of transport-related genes. We identified a set of the genes from the gill transcriptome from a freshwater crayfish Cherax quadricarinatus using the Illumina NGS-sequencing technology. We identified and characterized carbonic anhydrase (CA) genes and some other key genes involved in systematic acid-base balance and osmotic/ionic regulation. We also examined expression patterns of some of these genes across different sublethal pH levels [1]. A total of 72,382,710 paired-end Illumina reads were assembled into 36,128 contigs with an average length of 800 bp. About 37% of the contigs received significant BLAST hits and 22% were assigned gene ontology terms. These data will assist in further physiological-genomic studies in crayfish.