Hierarchical Models in the Brain

This paper describes a general model that subsumes many parametric models for continuous data. The model comprises hidden layers of state-space or dynamic causal models, arranged so that the output of one provides input to another. The ensuing hierarchy furnishes a model for many types of data, of arbitrary complexity. Special cases range from the general linear model for static data to generalised convolution models, with system noise, for nonlinear time-series analysis. Crucially, all of these models can be inverted using exactly the same scheme, namely, dynamic expectation maximization. This means that a single model and optimisation scheme can be used to invert a wide range of models. We present the model and a brief review of its inversion to disclose the relationships among, apparently, diverse generative models of empirical data. We then show that this inversion can be formulated as a simple neural network and may provide a useful metaphor for inference and learning in the brain

Relative effectiveness and adverse effects of cervical manipulation, mobilisation and the activator instrument in patients with sub-acute non-specific neck pain: results from a stopped randomised trial

<p>Abstract</p> <p>Background</p> <p>Neck pain of a mechanical nature is a common complaint seen by practitioners of manual medicine, who use a multitude of methods to treat the condition. It is not known, however, if any of these methods are superior in treatment effectiveness. This trial was stopped due to poor recruitment. The purposes of this report are (1) to describe the trial protocol, (2) to report on the data obtained from subjects who completed the study, (3) to discuss the problems we encountered in conducting this study.</p> <p>Methods</p> <p>A pragmatic randomised clinical trial was undertaken. Patients who met eligibility criteria were randomised into three groups. One group was treated using specific segmental high velocity low amplitude manipulation (diversified), another by specific segmental mobilisation, and a third group by the Activator instrument. All three groups were also treated for any myofascial distortions and given appropriate exercises and advice. Participants were treated six times over a three-week period or until they reported being pain free. The primary outcome measure for the study was Patient Global Impression of Change (PGIC); secondary outcome measures included the Short-Form Health Survey (SF-36v₂), the neck Bournemouth Questionnaire, and the numerical rating scale for pain intensity. Participants also kept a diary of any pain medication taken and noted any perceived adverse effects of treatment. Outcomes were measured at four points: end of treatment, and 3, 6, and 12 months thereafter.</p> <p>Results</p> <p>Between January 2007 and March 2008, 123 patients were assessed for eligibility, of these 47 were considered eligible, of which 16 were allocated to manipulation, 16 to the Activator instrument and 15 to the mobilisation group. Comparison between the groups on the PGIC adjusted for baseline covariants did not show a significant difference for any of the endpoints. Within group analyses for change from baseline to the 12-month follow up for secondary outcomes were significant for all groups on the Bournemouth Questionnaire and for pain, while the mobilisation group had a significant improvement on the PCS and MCS subscales of the SF-36_v2. Finally, there were no moderate, severe, or long-lasting adverse effects reported by any participant in any group.</p> <p>Conclusions</p> <p>Although the small sample size must be taken into consideration, it appears that all three methods of treating mechanical neck pain had a long-term benefit for subacute neck pain, without moderate or serious adverse events associated with any of the treatment methods. There were difficulties in recruiting subjects to this trial. This pragmatic trial should be repeated with a larger sample size.</p

Analysis of self-overlap reveals trade-offs in plankton swimming trajectories

Movement is a fundamental behaviour of organisms that brings about beneficial encounters with resources and mates, but at the same time exposes the organism to dangerous encounters with predators. The movement patterns adopted by organisms should reflect a balance between these contrasting processes. This trade-off can be hypothesized as being evident in the behaviour of plankton, which inhabit a dilute 3D environment with few refuges or orienting landmarks. We present an analysis of the swimming path geometries based on a volumetric Monte Carlo sampling approach, which is particularly adept at revealing such trade-offs by measuring the self-overlap of the trajectories. Application of this method to experimentally measured trajectories reveals that swimming patterns in copepods are shaped to efficiently explore volumes at small scales, while achieving a large overlap at larger scales. Regularities in the observed trajectories make the transition between these two regimes always sharper than in randomized trajectories or as predicted by random walk theory. Thus real trajectories present a stronger separation between exploration for food and exposure to predators. The specific scale and features of this transition depend on species, gender, and local environmental conditions, pointing at adaptation to state and stage dependent evolutionary trade-offs.Comment: 9 pages, 5 figures, submitte

Liposomal budesonide for dry powder inhaler: Preparation and stabilization

The purpose of the study was to prepare stable liposomally entrapped budesonide (BUD) for a dry powder inhaler (DPI) formulation. BUD liposomes composed of egg phosphatidyl choline and cholesterol were prepared by lipid film hydration technique and sonicated to have the desired size (<5 μm). A rapid method was used for separation of free drug by centrifugation at a lower centrifugal force (G value). Liposomal dispersion was subjected to lyophilization after blending BUD with cryoprotectant in varying bulk and mass ratios, and percent drug remaining entrapped after lyophilization was optimized. Comparative drug retention studies on storage of DPI formulations were carried out in accordance with International Conference on Harmonization guidelines. Critical relative humidity of the formulations was determined and reported as one of the manufacturing controls. Sucrose was found to be the most effective cryoprotectant when present on both sides of the lamellae of liposomes in a bulk strength of 500 mM and mass ratio of lipid:sugar; 1∶10. Blending of sorbolac before lyophilization showed better retention of encapsulated drug (95.59%). The respirable fraction of the product (20.69±1.50%) was comparable with that of the control (26.49±1.52%), suggesting that the liposomal BUD can be successfully delivered throughout the broncho-pulmonary tree. The findings demonstrate that liposome of BUD can be prepared with a high entrapment value, stabilized by lyophilization, and delivered as an aerosolized DPI. The stability studies of lyophilized product suggests a shelf-life of one year when stored under refrigeration (2°C–8°C)