Conservation Laws and Travelling Wave Solutions for Double Dispersion Equations in (1+1) and (2+1) Dimensions

In this article, we investigate two types of double dispersion equations in two different dimensions, which arise in several physical applications. Double dispersion equations are derived to describe long nonlinear wave evolution in a thin hyperelastic rod. Firstly, we obtain conservation laws for both these equations. To do this, we employ the multiplier method, which is an efficient method to derive conservation laws as it does not require the PDEs to admit a variational principle. Secondly, we obtain travelling waves and line travelling waves for these two equations. In this process, the conservation laws are used to obtain a triple reduction. Finally, a line soliton solution is found for the double dispersion equation in two dimensions

Lie point symmetries for generalised Fisher's equations describing tumour dynamics

A huge variety of phenomena are governed by ordinary differential equations (ODEs) and partial differential equations (PDEs). However, there is no general method to solve them. Obtaining solutions for differential equations is one of the greatest problem for both applied mathematics and physics. Multiple integration methods have been developed to the day to solve particular types of differential equations, specially those focused on physical or biological phenomena. In this work, we review several applications of the Lie method to obtain solutions of reaction-diffusion equations describing cell dynamics and tumour invasion.We would like to acknowledge group FQM-201 from Junta de Andalucia. We also would like to acknowledge Profs. Rita Tracina and Mariano Torrisi from the University of Catania (Italy) and Victor M. Perez Garcia from the University of Castilla-La Mancha (Spain) for discussions. This work was partially supported by the Fundacion Espanola para la Ciencia y la Tecnologia [UCA PR214], the Asociacion Pablo Ugarte (APU, Spain) and Inversion Territorial Integrada de la Provincia de Cadiz [ITI-0038-2019]

Component-Resolved in Vitro Diagnosis in Peach-Allergic Patients

BACKGROUND: The in vitro diagnosis of pollen-related food allergy presents low specifi city and reproducibility with many conventional extracts. This can be improved using natural purifi ed allergens, recombinant purifi ed allergens, or both. OBJECTIVE: We compared specifi c immunoglobulin (Ig) E determination (sIgE), the basophil activation test (BAT), the histamine release test (HRT), and the cellular allergen stimulation test (CAST) using natural and recombinant allergens in the diagnosis of peach allergy. METHODS: Thirty-two peach allergic patients were studied. Skin prick tests were performed with commercial peach and extract with Mal d 1, nPru p 3, and profi lin (nPho d 2). sIgE, BAT, CAST, and HRT were determined using rPru p 3, rMal d 3, rBet v 1, rMal d 1, and rMal d 4. RESULTS: Agreement between the techniques was good with all the allergens, except HRT with rMal d 1 and rMal d 4. With rPru p 3, sIgE, CAST, BAT, and HRT showed sensitivity values of 88%, 81%, 72%, and 69% and specifi city values of 100%, 93%, 97%, and 83%, respectively. In patients with systemic symptoms or contact urticaria, the values were 100%, 85%, 81%, and 81%. In patients with oral allergy syndrome, sensitivity to profi lins or homologues of Bet v 1 was detected in 100% of the cases by all the techniques, except by HRT with rMal d 1, which detected 66% of the cases. CONCLUSIONS: The use of single allergens in the in vitro diagnosis of peach allergy by specifi c IgE determination, BAT, and CAST offers high specifi city and sensitivity, with better results than the HRT

Leaders-cheaters in male group cooperation: differences in nonverbal communication and genetic factors

Here we report on the results of an experimental study investigating "who?" emerges as a leader in the context of male group cooperation and "how?" they do that. The study was designed based on the iterated Public Goods Game, played face-to-face in groups composed of four male strangers. The game involved interactions both with and without communication to allow the assessment of individual cooperative strategies, leadership potential, and individual features of positive nonverbal expressiveness during interactions. Along with the individual behavioural characteristics we have addressed personality traits (the Big Five) and an oxytocin receptor gene polymorphism (OXTR: SNP rs53576; A/G) as putative markers of individual sociability. Our results revealed that emergent leaders most often employed the strategy of unconditional cooperation ("altruism") and were characterized by enhanced positive facial expressiveness and extraversion compared to non-leaders. However, a fraction of emergent leaders (25%) turned out to be occasional free-riders ("cheaters"). Their distinctive features were the highest scores on extraversion, exaggerated activity in negotiations, and over-expression of positive nonverbal elements. Given the high efficiency of leaders-cheaters' behaviour, we consider this result as the evidence for supernormal stimuli functioning in humans. Moreover, leaders-cheaters were characterized by a specific allelic frequency of OXTR rs53576 (heterozygosity: AG). The homozygous GG variant of this SNP is argued to be associated with prosociality, and the AA, on the contrary, with poor sociability. The heterozygous variant (AG) probably is a compromise that enables its carriers to successfully combine high social skills with anti-social behavior (free-riding). This finding supports existing evidence on the role of OXTR rs53576 in human social behaviour

Characterization of oil shale residue and rejects from irati formation by electron paramagnetic resonance

In this study, sedimentary organic matter of oil shale rejects, calschist, shale fine and the so called retorted shale from Irati formation was characterized. EPR was used to analyse the samples regarding loss of signal in g = 2.003 associated to the organic free radical with the calcined samples and washing with hydrogen peroxide. The radical signal was detected in all samples, however, for the calschist and shale fine samples another signal was identified at g = 2.000 which disappeared when the sample was heated at 400 ºC. Hydrogen peroxide washing was also performed and it was noted that after washing the signal appeared around g = 2.000 for all samples, including retorted shale, which might be due to the quartz E1 defect

Refactoring Process Models in Large Process Repositories.

With the increasing adoption of process-aware information systems (PAIS), large process model repositories have emerged. Over time respective models have to be re-aligned to the real-world business processes through customization or adaptation. This bears the risk that model redundancies are introduced and complexity is increased. If no continuous investment is made in keeping models simple, changes are becoming increasingly costly and error-prone. Though refactoring techniques are widely used in software engineering to address related problems, this does not yet constitute state-of-the art in business process management. Process designers either have to refactor process models by hand or cannot apply respective techniques at all. This paper proposes a set of behaviour-preserving techniques for refactoring large process repositories. This enables process designers to eectively deal with model complexity by making process models better understandable and easier to maintain

Influência da pré-refrigeração na germinação de sementes de Leersia oryzoides (L.) Sw

Observações efectuadas sobre as condições de germinação de sementes da infestante dos arrozais Leersia oryzoides permitiram prever a necessidade de um tratamento pelo frio para a quebra de dormência das sementes. Apresentam-se resultados de ensaios efectuados com sementes colhidas em arrozais dos vales do Tejo e Sado, amadurecidas em panículas completamente livres ou encerradas na bainha das folhas. As sementes ensaiadas foram armazenadas em laboratório durante períodos de 2 a 16 meses e pré-refrigeradas em câmara frigorífica a 5°C±1°C, na ausência de luz, durante períodos variáveis de 1 semana a 5 meses, em cóndições de embebição. Ensaiaram-se sementes intactas (cariopses cobertas pelas glumelas) e cariopses sem glumelas, tendo o processo de germinação decorrido em estufa regulada, na maioria dos ensaios, para 25°C, às escuras. Estudou-se, ainda, a influência das condições de humidade durante o período de refrigeração, sobre a germinação posterior das sementes. A separação ou destruição parcial das glumelas envolventes das cariopses revelou-se importante para permitir a germinação das sementes. Os resultados obtidos apontam ainda para a necessidade de um período de refrigeração das sementes, tendo sido obtidas percentagens elevadas de germinação com sementes refrigeradas em condições de enterramento em solo encharcado. As condições óptimas de germinação ensaiadas ajustam-se às observações nos arrozaisinfo:eu-repo/semantics/publishedVersio

Influência de temperaturas elevadas no abrolhamento de gemas de rizomas de infestantes

Neste trabalho estudou-se a influência, no abrolhamento de gemas de rizomas de Cynodon dactylon, Panicum repens e Paspalum paspalodes, de diferentes temperaturas. Fragmentos de rizoma com um nó, contidos em recipientes com areia húmida, foram sujeitos às temperaturas de 45°, 47,5° 50°, 52,5° 55° 60°C, durante 1, 3 e 9 dias, após o que foram transferidos para uma estufa a 30°C, para observação do abrolhamento e medição dos rebentos, em comparação com fragmentos que se mantiveram, durante aqueles períodos, sempre a 30°C. As gemas sujeitas 1 dia a 45° e 47,5° abrolharam em percentagem relativamente elevada; o comportamento das gemas submetidas a 50° foi irregular. Nove dias de sujeição a qualquer das temperaturas elevadas provocou a morte dos fragmentos, o mesmo acontecendo com as temperaturas de 50° e superiores, ao fim do terceiro dia; os fragmentos de P. repens não sobreviveram, sequer, a 3 dias a 47,5°C. As temperaturas de 52,5°, 55° e 60°C foram letais, mesmo actuando só um diainfo:eu-repo/semantics/publishedVersio

Avaliação do curso de Engenharia de Ordenamento dos Recursos Naturais

O relatório resulta do trabalho de avaliação ao curso de Engenharia de Ordenamento dos Recursos Naturais levado a cabo pela equipa de Auto-Avaliação da Escola Superior Agrária. Esta equipa, designada pelo Conselho Científico com a finalidade de proceder a todas as solicitações de avaliação tanto dos cursos como da instituição, é basicamente composta por um coordenador e um elemento de cada unidade departamental. Decorrente do tipo de curso que se está a avaliar juntam-se à equipa os respectivos coordenadores do curso e um relator. Além deste elementos participaram também neste trabalho um representante dos alunos (designado pela associação de estudantes) e dois funcionários representantes do pessoal administrativo e do pessoal não docente. Em termos metodológicos optou-se pelo seguimento do guião proposto pelo CNAVES, tendo-se recolhido informação de diversos modos: pesquisa documental e bases de dados nos serviços administrativos, inquéritos auto administrados a alunos, docentes e funcionários, inquérito postal aos diplomados e entrevistas directas às entidades empregadoras. Uma vez recolhida e tratada a informação procedeu-se à sua análise crítica tendo como referência os trabalhos de avaliação que até então decorreram relativamente à Escola e ao curso de Ordenamento dos Recursos Naturais

Prioritized crop wild relatives in Spain: status on the National Inventory of Plant Genetic Resources for Agriculture and Food

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