Ternary q-Virasoro-Witt Hom-Nambu-Lie algebras

In this paper we construct ternary $q$-Virasoro-Witt algebras which $q$-deform the ternary Virasoro-Witt algebras constructed by Curtright, Fairlie and Zachos using $su(1,1)$ enveloping algebra techniques. The ternary Virasoro-Witt algebras constructed by Curtright, Fairlie and Zachos depend on a parameter and are not Nambu-Lie algebras for all but finitely many values of this parameter. For the parameter values for which the ternary Virasoro-Witt algebras are Nambu-Lie, the corresponding ternary $q$-Virasoro-Witt algebras constructed in this article are also Hom-Nambu-Lie because they are obtained from the ternary Nambu-Lie algebras using the composition method. For other parameter values this composition method does not yield Hom-Nambu Lie algebra structure for $q$-Virasoro-Witt algebras. We show however, using a different construction, that the ternary Virasoro-Witt algebras of Curtright, Fairlie and Zachos, as well as the general ternary $q$-Virasoro-Witt algebras we construct, carry a structure of ternary Hom-Nambu-Lie algebra for all values of the involved parameters

Parsimonious Higher-Order Hidden Markov Models for Improved Array-CGH Analysis with Applications to Arabidopsis thaliana

Array-based comparative genomic hybridization (Array-CGH) is an important technology in molecular biology for the detection of DNA copy number polymorphisms between closely related genomes. Hidden Markov Models (HMMs) are popular tools for the analysis of Array-CGH data, but current methods are only based on first-order HMMs having constrained abilities to model spatial dependencies between measurements of closely adjacent chromosomal regions. Here, we develop parsimonious higher-order HMMs enabling the interpolation between a mixture model ignoring spatial dependencies and a higher-order HMM exhaustively modeling spatial dependencies. We apply parsimonious higher-order HMMs to the analysis of Array-CGH data of the accessions C24 and Col-0 of the model plant Arabidopsis thaliana. We compare these models against first-order HMMs and other existing methods using a reference of known deletions and sequence deviations. We find that parsimonious higher-order HMMs clearly improve the identification of these polymorphisms. Moreover, we perform a functional analysis of identified polymorphisms revealing novel details of genomic differences between C24 and Col-0. Additional model evaluations are done on widely considered Array-CGH data of human cell lines indicating that parsimonious HMMs are also well-suited for the analysis of non-plant specific data. All these results indicate that parsimonious higher-order HMMs are useful for Array-CGH analyses. An implementation of parsimonious higher-order HMMs is available as part of the open source Java library Jstacs (www.jstacs.de/index.php/PHHMM)

Long-term effects of splint therapy in patients with posttraumatic stress disease (PTSD)

Objectives!#!The aim of a pilot study was to clarify the question of whether mouth opening restrictions in patients with PTSD by means of splint therapy (st) show long-term therapeutic effects in the case of functional disorders.!##!Material and methods!#!In 31 of 36 inpatients (soldiers, average age 37.1 ± 7.3 years, 26.7 ± 2.1 teeth) with confirmed posttraumatic stress disorder, chronic pain intensity > 6 (visual analogue scale 0 to 10), the mouth opening was determined, and the functional status (RDC-TMD) was recorded. All participants received a splint that was worn at night. A control of the therapeutic effect of the splint occurred after 6 weeks, 3, 6, and 12 months.!##!Results!#!The mouth opening initially had an average of 30.9 ± 6.5 mm (median 31 mm). The pain intensity (PI) was reported to be on average VAS 8.3 ± 0.9, the chronic degree of pain according to von Korff was 3.9 ± 03. Six weeks after the st (n = 31), the average mouth opening was 49.5 ± 6.3 mm (median 51.5). PI was given as VAS 2.3 ± 1.1 on average. After 3, 6, and 12 months, 24, 15, and 14 subjects could be interviewed regarding PI. Based on the last examination date of all subjects, the average PI was given as 1.1 ± 0.9 (median 1).!##!Conclusion!#!The presented data show that the therapeutic short-term results achieved by means of a splint remain valid on the long term despite continued PTSD.!##!Clinical relevance!#!The presented study shows that patients will benefit in the long term from a splint and remain symptom-free, even if this mental illness persists

A temporal context-aware model for user behavior modeling in social media systems

Social media provides valuable resources to analyze user behaviors and capture user preferences. This paper focuses on analyzing user behaviors in social media systems and designing a latent class statistical mixture model, named temporal context-aware mixture model (TCAM), to account for the intentions and preferences behind user behaviors. Based on the observation that the behaviors of a user in social media systems are generally influenced by intrinsic interest as well as the temporal context (e.g., the public's attention at that time), TCAM simultaneously models the topics related to users' intrinsic interests and the topics related to temporal context and then combines the influences from the two factors to model user behaviors in a unified way. To further improve the performance of TCAM, an item-weighting scheme is proposed to enable TCAM to favor items that better represent topics related to user interests and topics related to temporal context, respectively. Based on TCAM, we design an efficient query processing technique to support fast online recommendation for large social media data. Extensive experiments have been conducted to evaluate the performance of TCAM on four real-world datasets crawled from different social media sites. The experimental results demonstrate the superiority of the TCAM models, compared with the state-of-the-art competitor methods, by modeling user behaviors more precisely and making more effective and efficient recommendations. © 2014 ACM