Stability and cycles in a cobweb model with heterogeneous expectations

We investigate the dynamics of a cobweb model with heterogeneous beliefs, generalizing the example of Brock and Hommes (1997). We examine situations where the agents form expectations by using either rational expectations, or a type of adaptive expectations with limited memory defined from the last two prices. We specify conditions that generate cycles. These conditions depend on a set of factors that includes the intensity of switching between beliefs and the adaption parameter. We show that both Flip bifurcation and Neimark-Sacker bifurcation can occur as primary bifurcation when the steady state is unstable.

Developmental stability and leadership effectiveness

Developmental stability is the degree to which we can withstand environmental or genetic stressors during development. Fluctuating asymmetry (FA), concerns the extent to which the right and left side of the body is asymmetrical and is one way to measure developmental stability. Two studies were carried out that examined both the predictive value of leader FA with leadership behaviors and its role in facilitating group performance. The first study examined the hypothesis that a leader's FA is correlated with scores on the Multifactor Leadership Questionnaire (MLQ). The results revealed individuals with a more asymmetrical morphology scored higher on the transformational, but not transactional, dimensions of leadership behavior. A second study examined the hypothesis that asymmetrical morphology and leadership effectiveness would share a positive relationship. In this study participants who led a business game exercise, revealed a positive relationship between FA and self-reported well-being and task satisfaction. Importantly, there was also a positive correlation between the leader's FA score and group performance. The role that developmental stability may play in leadership effectiveness is discussed in the wider context of evolutionary psychology.

Increased potential of a cationic liposome-based delivery system:enhancing stability and sustained immunological activity in pre-clinical development

The combination of dimethyl dioctadecyl ammonium bromide (DDA) and the synthetic cord factor trehalose dibehenate (TDB) with Ag85B-ESAT-6 (H1 fusion protein) has been found to promote strong protective immune responses against Mycobacterium tuberculosis. The development of a vaccine formulation that is able to facilitate the requirements of sterility, stability and generation of a vaccine product with acceptable composition, shelf-life and safety profile may necessitate selected alterations in vaccine formulation. This study describes the implementation of a sterilisation protocol and the use of selected lyoprotective agents in order to fulfil these requirements. Concomitantly, close analysis of any alteration in physico-chemical characteristics and parameters of immunogenicity have been examined for this promising DDA liposome-based tuberculosis vaccine. The study addresses the extensive guidelines on parameters for non-clinical assessment, suitable for liposomal vaccines and other vaccine delivery systems issued by the World Health Organisation (WHO) and the European Medicines Agency (EMEA). Physical and chemical stability was observed following alteration in formulations to include novel cryoprotectants and radiation sterilisation. Immunogenicity was maintained following these alterations and even improved by modification with lysine as the cryoprotective agent for sterilised formulations. Taken together, these results outline the successful alteration to a liposomal vaccine, representing improved formulations by rational modification, whilst maintaining biological activity.

The stability and formulation of topical analgesics

High-performance liquid chromatographic methods are developed for the simultaneous determination of various salicylates, their p-hydroxy isomers and nicotinic acid esters. The method is sensitive enough to detect trace amounts (~µM/L)of the product generated from cross reactivity between the drugs and the vehicle. The developed method also allows analysis of various topical products containing salicylate and nicotinate esters in their formulations. Applying this method, the degradation profiles of salicylates, nicotinates, p-hydroxy benzoate, o-methoxy benzoate and aspirin prodrugs in alkaline media are determined. The profile for alkyl salicylate degradation is found to be first order (A---? B) When the alcoholic radical is similar to that of the ester. In alcohol having a radical different from that of the ester function, the degradation is found to proceed through competitive transesterification and hydrolysis. The intermediates are identified following synthesis and isolation. The rate and extent of transesterification depends on the proportion of alcohol present in the system. Equations are presented to model the time profiles of reactant and product concentration. The reactions are base catalysed and the predominant pathway involves a concerted solvent attack upon the salicylate anion. Competitive hydrolysis of both ester components also follows this mechanism at moderate pH values but rates increase under strongly alkaline conditions as direct hydroxide attack becomes significant. In contrast, transesterification is independent of base concentration once full ionization is accomplished. The competitive hydrolysis is modelled using equations involving the dielectric constant of the medium. A range of other esters are also shown to undergo base-catalysed transesterification. In non-alcoholic solution phenyl salicylate undergoes a concentration-dependent oligomerisation which yields salsalate among the products. Competitive transesterification and hydrolysis also occur in products for topical use which have vehicles based upon alcohol, glycol or glycol polymers. Such reactions may compromise stability assessments, pharmaceutical integrity and delivery profiles.

Studies of the stability and metabolism of tumour inhibitory tetrazinones

Temozolomide is an imidazotetrazinone with antineoplastic properties. It is structurally related to dacarbazine. Temozolomide was not metabolized in vitro by liver fractions. Chemical decomposition appears to play an important r^ole in its in vitro and in vivo disposition. In contrast, 3-methylbenzotriazinone, a structural analogue, was metabolized by hepatic microsomes to afford benzotriazinone and a hydrophilic metabolite. The cytotoxicity of temozolomide, dacarbazine, 5-[3-(hydroxy-methyl-3-methyl-triazen-1-yl]imidazole-5-carboxamide (HMMTIC) and 3-monomethyl-(triazen-1-yl)imidazole-4-carboxamide (MTIC) were investigated in TLX5 murine lymphoma cells. Unlike dacarbazine, which was not toxic, MTIC, HMMTIC and temozolomide were cytotoxic in the absence of microsomes. Decarbazine was only cytotoxic in the presence of microsomes. The formation of MTIC from dacarbazine, HMMTIC and temozolomide was determined by reversed phase high performance liquid chromatography in mixtures incubated under conditions identical to those described before. MTIC was generated chemically from temozolomide and HMMTIC metabolically from dacarbazine. Using [14C]temozolomide, it was found that, in mice, the major route of excretion of the drug is via the kidneys. An acidic metabolite (metabolite I) was found in the urine of mice which had received temozolomide but its identity has not been established. 1H NMR, UV and chemical analyses revealed that Metabolite I possesses an intact NNN linkage and the site of metabolism is at the N3 methyl group. A further acidic metabolite (metabolite II) was found in the urine of patients. Metabolite II was unambiguously identified as the 8-carboxylic acid derivative of temozolomide. In vitro cytotoxicity assay showed that ony metabolite II is cytotoxic but not metabolite I. Pharmacokinetic studies of temozolomide and MTIC in vivo were performed on mice bearing TLX5 tumour. Temozolomide was eliminated from the plasma monophasically with a t1/2 of 0.7hr. MTIC was identified as a product of decomposition. MTIC was eliminated rapidly with a t1/2 of 2min. Though temozolomide shares many biochemical and biological similarities with clinically used dacarbazine, the results obtained in this study show that it differs markedly in its pharmacokinetic properties from dacarbazine, as temozolomide produced relatively sustained plasma levels which were reflected by drug concentrations in the tumour.

Stability and in vivo activity of topical corticosteroid dilutions

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Stability and continuity of parentally reported child eating behaviours and feeding practices from 2 to 5 years of age

Previous research suggests that many eating behaviours are stable in children but that obesigenic eating behaviours tend to increase with age. This research explores the stability (consistency in individual levels over time) and continuity (consistency in group levels over time) of child eating behaviours and parental feeding practices in children between 2 and 5 years of age. Thirty one participants completed measures of child eating behaviours, parental feeding practices and child weight at 2 and 5 years of age. Child eating behaviours and parental feeding practices remained stable between 2 and 5 years of age. There was also good continuity in measures of parental restriction and monitoring of food intake, as well as in mean levels of children's eating behaviours and BMI over time. Mean levels of maternal pressure to eat significantly increased, whilst mean levels of desire to drink significantly decreased, between 2 and 5 years of age. These findings suggest that children's eating behaviours are stable and continuous in the period prior to 5 years of age. Further research is necessary to replicate these findings and to explore why later developmental increases are seen in children's obesigenic eating behaviours. © 2011 Elsevier Ltd.

Stability and continuity of women's core beliefs and psychopathological symptoms from pregnancy to one year postpartum

Unhealthy core beliefs are theorized to be stable constructs throughout the life-span, but no research to date, outside of the context of clinical intervention, has addressed this claim over a period of greater than 6 weeks. This study explores the stability and continuity of core beliefs and psychopathological symptoms in a group of women over a major life event and for 1 year subsequently. Eighty-seven women completed measures assessing their core beliefs and psychopathological symptoms during pregnancy and at 6 and 12 months after giving birth. General maternal psychopathological symptoms significantly decreased across the group between pregnancy and 6 months postpartum, and between pregnancy and 1 year, but showed evidence of stability in the ranks of individuals across time. The majority of core beliefs remained both stable and continuous throughout this period of major transition. These findings generally support the theoretical contention that core beliefs are relatively stable and continuous self-constructs. Science+Business Media, LLC.

Power-controlled phase-matching and instability of CW propagation in multicore optical fibers with a central core

We present modulation instability analysis including azimuthal perturbations of steady-state continuous wave (CW) propagation in multicore-fiber configurations with a central core. In systems with a central core, a steady CW evolution regime requires power-controlled phase matching, which offers interesting spatial-division applications. Our results have general applicability and are relevant to a range of physical and engineering systems, including high-power fiber lasers, optical transmission in multicore fiber, and systems of coupled nonlinear waveguides. © 2013 Optical Society of America.

The role of pinning and instability in a class of non-equilibrium growth models

We study the dynamics of a growing crystalline facet where the growth mechanism is controlled by the geometry of the local curvature. A continuum model, in (2+1) dimensions, is developed in analogy with the Kardar-Parisi-Zhang (KPZ) model is considered for the purpose. Following standard coarse graining procedures, it is shown that in the large time, long distance limit, the continuum model predicts a curvature independent KPZ phase, thereby suppressing all explicit effects of curvature and local pinning in the system, in the "perturbative" limit. A direct numerical integration of this growth equation, in 1+1 dimensions, supports this observation below a critical parametric range, above which generic instabilities, in the form of isolated pillared structures lead to deviations from standard scaling behaviour. Possibilities of controlling this instability by introducing statistically "irrelevant" (in the sense of renormalisation groups) higher ordered nonlinearities have also been discussed.