On the periodic structure of C1C^1 self-maps on the product of spheres of different dimensions

In the present article we study the periodic structure of some well-known classes of $C^1$ self-maps on the product of spheres of different dimensions: transversal maps, Morse-Smale diffeomorphisms and maps with all its periodic points hyperbolic. Our approach is via the Lefschetz fixed point theory. We give a complete characterization of the minimal set of Lefschetz periods for Morse-Smale diffeomorphisms on these spaces. We also consider $C^1$ maps with all its periodic points hyperbolic and we give conditions for these maps to have infinitely many periodic points. We describe the period set of the transversal maps on these spaces. Finally we applied these results to describe the periodic structure of similar classes of maps on compact, connected, simple connected and simple Lie groups

Selfdual Substitutions in Dimension One

There are several notions of the 'dual' of a word/tile substitution. We show that the most common ones are equivalent for substitutions in dimension one, where we restrict ourselves to the case of two letters/tiles. Furthermore, we obtain necessary and sufficient arithmetic conditions for substitutions being selfdual in this case. Since many connections between the different notions of word/tile substitution are discussed, this paper may also serve as a survey paper on this topic.Comment: 28 pages, 5 figures. Several typos removed, some proofs shortened, thanks to the referees. The accepted version of this paper is shorter (22 pages, 4 figures), this arxiv version includes more examples, two appendices, plus a self-contained proof of Theorem 2.

A note on the k-Narayana sequence

In the present article, we define the k-Narayana sequence of integer num- bers. We study recurrence relations and some combinatorial properties of these numbers, and of the sum of their first n terms. These properties are derived from matrix methods. We also study some relations between the k-Narayana sequence and convolved k-Narayana sequence, and permanents and determinants of one type of Hessenberg matrix. Finally, we show how these sequences arise from a family of substitutions

Transcriptomic analysis of a near-isogenic line of melon with high fruit flesh firmness during ripening

This is the peer reviewed version of the following article: Zarid, M., García-Carpintero, V., Esteras, C., Esteva, J., Bueso, M.C., Cañizares, J., Picó, M.B., Monforte, A.J. and Fernández-Trujillo, J.P. (2021), Transcriptomic analysis of a near-isogenic line of melon with high fruit flesh firmness during ripening. J Sci Food Agric, 101: 754-777, which has been published in final form at https://doi.org/10.1002/jsfa.10688. This article may be used for non-commercial purposes in accordance with Wiley Terms and Conditions for Self-Archiving.[EN] BACKGROUND A near-isogenic line (NIL) of melon (SC10-2) with introgression in linkage group X was studied from harvest (at firm-ripe stage of maturity) until day 18 of postharvest storage at 20.5 degrees C together with its parental control ('Piel de Sapo', PS). RESULTS SC10-2 showed higher flesh firmness and whole fruit hardness but lower juiciness than its parental. SC10-2 showed a decrease in respiration rate accompanied by a decrease in ethylene production during ripening, both of which fell to a greater extent than in PS. The introgression affected 11 volatile organic compounds (VOCs), the levels of which during ripening were generally higher in SC10-2 than in PS. Transcriptomic analysis from RNA-Seq revealed differentially expressed genes (DEGs) associated with the effects studied. For example, 909 DEGs were exclusive to the introgression, and only 23 DEGs were exclusive to postharvest ripening time. Major functions of the DEGs associated with introgression or ripening time were identified by cluster analysis. About 37 genes directly and/or indirectly affected the delay in ripening of SC10-2 compared with PS in general and, more particularly, the physiological and quality traits measured and, probably, the differential non-climacteric response. Of the former genes, we studied in more detail at least five that mapped in the introgression in linkage group (LG) X, and 32 outside it. CONCLUSION There is an apparent control of textural changes, VOCs and fruit ripening by an expression quantitative trait locus located in LG X together with a direct control on them due to genes presented in the introgression (CmTrpD,CmNADH1,CmTCP15,CmGDSL esterase/lipase, andCmHK4-like) and CmNAC18.This work was funded by grants 11784/PI/09 (Seneca Foundation, Region of Murcia) and Ministry of Economy and Innovation (AGL2010-20858). M Zarid acknowledges an UE-Erasmus predoctoral fellowship, a program coordinated by the University of Murcia in the framework of CMN. Thanks are due to Semillas Fitó SA (Barcelona, Spain), for providing seeds of PS melons and IRTACRAG for the seeds of SC10-2. We acknowledge the assistance of P Varó and his team in CIFEA-Torre Pacheco for crop management, to N Dos-Santos, M Medina, M García-Gutiérrez, A Hakmaoui, E Cuadros, I Canales and AA Escudero (UPCT) for sampling and technical assistance, to SAIT-UPCT for GC-MS analysis, to AG Sifres (COMAV) for RNA extraction, and to CNAG (Barcelona) for professional assistance in RNA-Seq. The authors declare that the research was conducted in the absence of any commercial or financial relationships that could be construed as a potential conflict of interest.Zarid, M.; García-Carpintero, V.; Esteras Gómez, C.; Esteva, J.; Bueso, MC.; Cañizares Sales, J.; Picó Sirvent, MB.... (2021). Transcriptomic analysis of a near-isogenic line of melon with high fruit flesh firmness during ripening. Journal of the Science of Food and Agriculture. 101(2):754-777. https://doi.org/10.1002/jsfa.10688S7547771012Ríos, P., Argyris, J., Vegas, J., Leida, C., Kenigswald, M., Tzuri, G., … Garcia-Mas, J. (2017). 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Graph based study of allergen cross-reactivity of plant lipid transfer proteins (LTPs) using microarray in a multicenter study.

The study of cross-reactivity in allergy is key to both understanding. the allergic response of many patients and providing them with a rational treatment In the present study, protein microarrays and a co-sensitization graph approach were used in conjunction with an allergen microarray immunoassay. This enabled us to include a wide number of proteins and a large number of patients, and to study sensitization profiles among members of the LTP family. Fourteen LTPs from the most frequent plant food-induced allergies in the geographical area studied were printed into a microarray specifically designed for this research. 212 patients with fruit allergy and 117 food-tolerant pollen allergic subjects were recruited from seven regions of Spain with different pollen profiles, and their sera were tested with allergen microarray. This approach has proven itself to be a good tool to study cross-reactivity between members of LTP family, and could become a useful strategy to analyze other families of allergens

Graph based study of allergen cross-reactivity of plant lipid transfer proteins (LTPs) using microarray in a multicenter study.

The study of cross-reactivity in allergy is key to both understanding. the allergic response of many patients and providing them with a rational treatment In the present study, protein microarrays and a co-sensitization graph approach were used in conjunction with an allergen microarray immunoassay. This enabled us to include a wide number of proteins and a large number of patients, and to study sensitization profiles among members of the LTP family. Fourteen LTPs from the most frequent plant food-induced allergies in the geographical area studied were printed into a microarray specifically designed for this research. 212 patients with fruit allergy and 117 food-tolerant pollen allergic subjects were recruited from seven regions of Spain with different pollen profiles, and their sera were tested with allergen microarray. This approach has proven itself to be a good tool to study cross-reactivity between members of LTP family, and could become a useful strategy to analyze other families of allergens

Los 7 principios de gestión de la calidad en ISO 9001

After the last revision of the ISO 9000 standards, and more precisely, ISO 9001, version 2015, the principles of quality management suffered some changes. For instance, some of the mentioned principles changed their name and cover a wider field than previous version. In this article, we will make a comparison between the 2 versions, explain some example and include the Lean Manufacturing in quality field.Tras la última revisión de la familia de normas ISO 9000, y más en concreto, la ISO 9001, con versión del 2015, los principios de gestión de la calidad sufrieron algún cambio. Por ejemplo, la desaparición del enfoque de sistema para la gestión o, el cambio de nombre de algunos de los principios los cuales abarcan un campo más amplio que en la versión anterior. En este artículo vamos a tratar de hacer una comparación entre las dos versiones, indicar algún ejemplo e integrar el Lean Manufacturing en el campo de la calidad