Enhanced error estimator based on a nearly equilibrated moving least squares recovery technique for FEM and XFEM

In this paper a new technique aimed to obtain accurate estimates of the error in energy norm using a moving least squares (MLS) recovery-based procedure is presented. We explore the capabilities of a recovery technique based on an enhanced MLS fitting, which directly provides continuous interpolated fields, to obtain estimates of the error in energy norm as an alternative to the superconvergent patch recovery (SPR). Boundary equilibrium is enforced using a nearest point approach that modifies the MLS functional. Lagrange multipliers are used to impose a nearly exact satisfaction of the internal equilibrium equation. The numerical results show the high accuracy of the proposed error estimator

Effects of ketosis on cocaine-induced reinstatement in male mice;

In recent years, the benefits of the ketogenic diet (KD) on different psychiatric disorders have been gaining attention, but the substance abuse field is still unexplored. Some studies have reported that palatable food can modulate the rewarding effects of cocaine, but the negative metabolic consequences rule out the recommendation of using it as a complementary treatment. Thus, the main aim of this study was to evaluate the effects of the KD on cocaine conditioned place preference (CPP) during acquisition, extinction, and reinstatement. 41 OF1 male mice were employed to assess the effects of the KD on a 10 mg/kg cocaine-induced CPP. Animals were divided into three groups: SD, KD, and KD after the Post-Conditioning test. The results revealed that, while access to the KD did not block CPP acquisition, it did significantly reduce the number of sessions required to extinguish the drug-associated memories and it blocked the priming-induced reinstatement. © 2022 The Author(s

Set-Valued Chaos in Linear Dynamics

[EN] We study several notions of chaos for hyperspace dynamics associated to continuous linear operators. More precisely, we consider a continuous linear operator on a topological vector space X, and the natural hyperspace extensions and of T to the spaces of compact subsets of X and of convex compact subsets of X, respectively, endowed with the Vietoris topology. We show that, when X is a complete locally convex space (respectively, a locally convex space), then Devaney chaos (respectively, topological ergodicity) is equivalent for the maps T, and . Also, under very general conditions, we obtain analogous equivalences for Li-Yorke chaos. Finally, some remarks concerning the topological transitivity and weak mixing properties are included, extending results in Banks (Chaos Solitons Fractals 25(3):681-685, 2005) and Peris (Chaos Solitons Fractals 26(1):19-23, 2005).The first author was partially supported by CNPq (Brazil) and by the EBW+ Project (Erasmus Mundus Programme). The second and third authors were supported by MINECO, Projects MTM2013-47093-P and MTM2016-75963-P. The second author was partially supported by GVA, Project PROMETEOII/2013/013.Bernardes, NCJ.; Peris Manguillot, A.; Ródenas Escribá, FDA. (2017). Set-Valued Chaos in Linear Dynamics. Integral Equations and Operator Theory. 88(4):451-463. https://doi.org/10.1007/s00020-017-2394-6S451463884Banks, J.: Chaos for induced hyperspace maps. Chaos Solitons Fractals 25(3), 681–685 (2005)Bauer, W., Sigmund, K.: Topological dynamics of transformations induced on the space of probability measures. Monatsh. Math. 79, 81–92 (1975)Bayart, F., Matheron, É.: Hypercyclic operators failing the hypercyclicity criterion on classical Banach spaces. J. Funct. Anal. 250(2), 426–441 (2007)Bayart, F., Matheron, É.: Dynamics of Linear Operators. Cambridge University Press, Cambridge (2009)Bermúdez, T., Bonilla, A., Martínez-Giménez, F., Peris, A.: Li-Yorke and distributionally chaotic operators. J. Math. Anal. Appl. 373(1), 83–93 (2011)Bernardes Jr., N.C., Bonilla, A., Müller, V., Peris, A.: Li-Yorke chaos in linear dynamics. Ergod. Theory Dyn. Syst. 35(6), 1723–1745 (2015)Bernardes Jr., N.C., Vermersch, R.M.: Hyperspace dynamics of generic maps of the Cantor space. Can. J. Math. 67(2), 330–349 (2015)Bès, J., Menet, Q., Peris, A., Puig, Y.: Strong transitivity properties for operators. Preprint ( arXiv:1703.03724 )Bès, J., Peris, A.: Hereditarily hypercyclic operators. J. Funct. Anal. 167(1), 94–112 (1999)Bonet, J., Frerick, L., Peris, A., Wengenroth, J.: Transitive and hypercyclic operators on locally convex spaces. Bull. Lond. Math. Soc. 37, 254–264 (2005)de la Rosa, M., Read, C.: A hypercyclic operator whose direct sum $$T \oplus T$$ T ⊕ T is not hypercyclic. J. Oper. Theory 61(2), 369–380 (2009)Fedeli, A.: On chaotic set-valued discrete dynamical systems. Chaos Solitons Fractals 23(4), 1381–1384 (2005)Fu, H., Xing, Z.: Mixing properties of set-valued maps on hyperspaces via Furstenberg families. Chaos Solitons Fractals 45(4), 439–443 (2012)Furstenberg, H.: Disjointness in ergodic theory, minimal sets, and a problem in Diophantine approximation. Math. Syst. Theory 1, 1–49 (1967)Grivaux, S.: Hypercyclic operators, mixing operators, and the bounded steps problem. J. Oper. Theory 54, 147–168 (2005)Grosse-Erdmann, K.-G., Peris, A.: Weakly mixing operators on topological vector spaces. Rev. Real Acad. Cienc. Exactas Fís. Nat. Ser. A Math. RACSAM 104(2), 413–426 (2010)Grosse-Erdmann, K.-G., Peris, A.: Linear Chaos. Universitext, Springer-Verlag, Berlin (2011)Guirao, J.L.G., Kwietniak, D., Lampart, M., Oprocha, P., Peris, A.: Chaos on hyperspaces. Nonlinear Anal. 71(1–2), 1–8 (2009)Hernández, P., King, J., Méndez, H.: Compact sets with dense orbit in $$2^X$$ 2 X . Topol. Proc. 40, 319–330 (2012)Herzog, G., Lemmert, R.: On universal subsets of Banach spaces. Math. Z. 229(4), 615–619 (1998)Hou, B., Tian, G., Shi, L.: Some dynamical properties for linear operators. Ill. J. Math. 53(3), 857–864 (2009)Hou, B., Tian, G., Zhu, S.: Approximation of chaotic operators. J. Oper. Theory 67(2), 469–493 (2012)Illanes, A., Nadler Jr., S.B.: Hyperspaces: Fundamentals and Recent Advances. Marcel Dekker Inc, New York (1999)Kupka, J.: On Devaney chaotic induced fuzzy and set-valued dynamical systems. Fuzzy Sets Syst. 177(1), 34–44 (2011)Kwietniak, D., Oprocha, P.: Topological entropy and chaos for maps induced on hyperspaces. Chaos Solitons Fractals 33(1), 76–86 (2007)Li, J., Yan, K., Ye, X.: Recurrence properties and disjointness on the induced spaces. Discrete Contin. Dyn. Syst. 35(3), 1059–1073 (2015)Liao, G., Wang, L., Zhang, Y.: Transitivity, mixing and chaos for a class of set-valued mappings. Sci. China Ser. A Math. 49(1), 1–8 (2006)Liu, H., Shi, E., Liao, G.: Sensitivity of set-valued discrete systems. Nonlinear Anal. 71(12), 6122–6125 (2009)Liu, H., Lei, F., Wang, L.: Li-Yorke sensitivity of set-valued discrete systems, J. Appl. Math. (2013). Article number: 260856Peris, A.: Set-valued discrete chaos. Chaos Solitons Fractals 26(1), 19–23 (2005)Peris, A., Saldivia, L.: Syndetically hypercyclic operators. Integral Equ. Oper. Theory 51, 275–281 (2005)Román-Flores, H.: A note on transitivity in set-valued discrete systems. Chaos Solitons Fractals 17(1), 99–104 (2003)Rudin, W.: Functional Analysis. International Series in Pure and Applied Mathematics, 2nd edn. McGraw-Hill Inc, New York (1991)Salas, H.: A hypercyclic operator whose adjoint is also hypercyclic. Proc. Am. Math. Soc. 112(3), 765–770 (1991)Shkarin, S.: Hypercyclic operators on topological vector spaces. J. Lond. Math. Soc. 86, 195–213 (2012)Wang, Y., Wei, G.: Characterizing mixing, weak mixing and transitivity of induced hyperspace dynamical systems. Topol. Appl. 155(1), 56–68 (2007)Wang, Y., Wei, G., Campbell, W.H.: Sensitive dependence on initial conditions between dynamical systems and their induced hyperspace dynamical systems. Topol. Appl. 156(4), 803–811 (2009)Wu, Y., Xue, X., Ji, D.: Linear transitivity on compact connected hyperspace dynamics. Dyn. Syst. Appl. 21(4), 523–534 (2012)Wu, X., Wang, J., Chen, G.: F-sensitivity and multi-sensitivity of hyperspatial dynamical systems. J. Math. Anal. Appl. 429(1), 16–26 (2015

Genetic selection of maternal lines and digestive efficiency in rabbits: long term selection for litter size at weaning versus hyper selection for reproductive longevity

The objective of the present paper is to evaluate how long-term selection for litter size at weaning or short-term hyper selection for reproductive longevity, affect the digestive utilisation of growing and lactating rabbits. A digestibility trial was carried out during the 3rd week of lactation with a total of 27 multiparous does: 14 females came from a line selected for litter size at weaning over 32 generations (V), and 13 from a recently constituted, long lived-productive line (LP). Another digestibility trial was performed during the growing period with a total of 48 growing rabbits (24 from each line). After a 7 d adaptation period, faeces were collected individually for 4 d (from 13 to 16 d of lactation or from 49 to 53 d of age, respectively). Daily feed intake and weight gain recorded during the experimental growing period were similar for both lines (137 g of dry matter (DM)/d and 48 g/d, respectively). Growing rabbits from the V-line showed greater values for the digestibility of the DM and OM (+1 percentage point; P<0.10) and signifi cantly higher values for the acid detergent fi bre (+3 percentage points; P=0.03) than animals from the LP line. No signifi cant differences for the apparent digestibility coeffi cients of crude protein, neutral detergent fi bre, crude fi bre and gross energy were observed between lines, these being on average 65.7, 23.0, 10.7 and 52.6%, respectively. Females from the LP line were initially heavier (+258 g of live weight; P=0.06), and presented a signifi cantly greater daily feed intake (+22 g DM/d; P=0.04) and milk yield (+37 g/d; P=0.01) during the pre-experimental and faeces collection phases (from 6 to 16 d of lactation). V-line lactating does displayed greater values for digestibility for all those nutrients evaluated (from +0.9 and +3.7 percentage points for the crude protein and acid detergent fi bre) compared to the LP line females, although these were only signifi cant for the DM, organic matter and gross energy (+2.3, +2.5, +2.1 percentage points; P<0.05). In conclusion, rabbits selected for litter size at weaning seem to have greater effi ciency for digestive utilisation than those hyper selected for reproductive longevity.This study has been supported by the Spanish CICYT project AGL 2004-02710/GAN.Pascual Amorós, JJ.; Ródenas, L.; Martínez, E.; Cervera, C.; Blas, E.; Baselga, M. (2008). Genetic selection of maternal lines and digestive efficiency in rabbits: long term selection for litter size at weaning versus hyper selection for reproductive longevity. World Rabbit Science. 16(3). doi:10.4995/wrs.2008.62516

Effect of increasing lignin in isoenergetic diets at two soluble fibre levels on digestion, performance and carcass quality of growing rabbits

To assess the effect of increasing dietary lignin in isoenergetic diets at two soluble fibre (SF) levels on digestion, performance and carcass quality of growing rabbits, four diets were formulated according a 2 × 2 factorial design: low SF-low lignin (LSF/LL), low SF-high lignin (LSF/HL), high SF-low lignin (HSF/LL) and high SF-high lignin (HSF/HL). On average, in HSF diets SF was increased by 49 g/kg DM, mainly replacing starch (−53 g/kg DM), and in HL diets lignin was increased by 40 g/kg, mainly reducing starch (-78 g/kg DM), with increasing EE (+31 g/kg DM). Two hundred and sixty crossbred weaned rabbits (35 days old) were assigned to the experimental diets, individually housed and fed ad libitum until 63 days of age. Digestibility (from 49 to 53 days old), growth performance (from 35 to 63 days old), carcass quality (at 63 days old) and caecal environment (at 63 days old) were studied in 12, 65, 45 and 16 rabbits per diet, respectively. High SF diets showed higher CTTAD of fibrous fractions (+0.206±0.011, +0.207±0.015, +0.214±0.011 and +0.167±0.015 for aNDFom, ADFom, hemicelluloses and cellulose, respectively, P < 0.001), OM (+0.042±0.004, P < 0.001) and GE (+0.055±0.005, P < 0.001), resulting in high DE content (10.6 vs. 9.30 MJ/kg DM). In contrast, CTTAD of CP was lower (−0.023±0.009, P = 0.013), as well as the DP content (96.9 vs. 103 g/kg DM). This dietary variation reduced the DM content of caecal digesta (−28±3 g/kg, P < 0.001), besides increasing its VFA concentration (+18.0±4.0 mmol/L, P < 0.001) and reducing its pH (−0.28±0.05, P < 0.001). Feed intake and LW gain decreased, with an improvement of feed to gain ratio (−13.8 %, −4.7 %, −9.4 %, respectively; P < 0.001). The proportion of gastrointestinal tract was increased, with a subsequent reduction in dressing out (+19±2 g/kg LW and −15±2 g chilled carcass weight/kg LW, respectively, P < 0.001). High lignin diets showed lower CTTAD of OM (-0.055±0.004, P < 0.001) and GE (−0.034±0.005, P < 0.001) without affecting DE and DP contents. This dietary variation increased DM content of caecal digesta (+21±3 g/kg, P < 0.001), but did not affect the other caecal digesta traits. Feed intake was higher (+4.9 %, P < 0.001), although differences were dependent on the growth phase and the SF level (maximum difference at 35–49 days with low SF diets, +11.0 %, P < 0.001; minimum difference at 49–63 days with high SF diets, +1.0 %, P = 0.689), but did not affect LW gain and consequently impaired the feed to gain ratio (+5.1 %, P < 0.001). No effect was observed on dressing out, but the dissectible fat proportion increased (+6.7±1.1 g/kg reference carcass weight, P < 0.001).info:eu-repo/semantics/acceptedVersio

Caso clínico de Reproducción

Se presentó en el Hospital Clínico Veterinario de la Universidad de Murcia un perro West Highland Terrier, 9 kg de peso y 7 años de edad, con un historial previo de dermatitis alérgica a pulgas, otitis y cistitis recurrentes. El propietario informa que dos meses antes el animal fue empleado para realizar varias inseminaciones artificiales sin éxito, pese a haber tenido descendencia hace unos años. El dueño nos insiste en que desearía obtener una camada de él cuando la perra vuelva a entrar en celo. En el examen físico no se observó ninguna alteración evidente. La exploración rectal de la próstata no demostró dolor, asimetría ni incremento del tamaño de la glándula. Los resultados de las analíticas sanguíneas y bioquímica séricas estaban dentro de los rangos normales. En el examen ecográfico abdominal se observó una próstata de bordes irregulares y ligeramente disminuida de tamaño (Fig. 1). La ecotextura era heterogénea (Fig. 2). A nivel de la vejiga se observaba ecográficamente que las paredes estaban engrosadas y la presencia de sedimento ecogénico en suspensión, realizándose una cistocentesis ecoguiada. El análisis de orina no reveló proteinuria ni alteraciones de la gravedad específica ni del pH. En el sedimento se observó una ligera hematuria y presencia de neutrófilos degenerados. En base a todo lo descrito previamente se diagnostica un cuadro de prostatitis crónica, siendo instaurado un tratamiento médico que permite la obtención de una camada de 3 cachorros 4 meses más tarde

Fabrication of optical waveguides in RbTiOPO4 single crystals by using different techniques

M.A. Butt, M.C. Pujol, R. Solé, A. Ródenas, G. Lifante, M. Aguiló, F. Díaz, S. N. Khonina, R. V. Skidanov and Payal Verma, "Fabrication of optical waveguides in RbTiOPO4 single crystals by using different techniques", XIII International Scientific and Technical Conference on Optical Technologies in Telecommunications,SPIE 9807 (26 March, 2016): doi: 10.1117/12.2231368. One print or electronic copy may be made for personal use only. Systematic reproduction and distribution, duplication of any material in this paper for a fee or for commercial purposes, or modification of the content of the paper are prohibitedProceedings of XIII International Scientific and Technical Conference on Optical Technologies in Telecommunications Conference (Ufa, Russian Federation)In this work, we have demonstrated the use of different technologies to fabricate straight channel waveguides, S-bend waveguides, Y-splitter and Mach -Zehnder (MZ) structures on RbTiOPO 4 crystals and its isomorphs. We used reactive ion etching (RIE), inductively coupled plasma-RIE (ICP-RIE), femtosecond pulse laser micro-fabrication and ion diffusion techniques to structure these crystals. Computer simulations have been carried out and compared with the optical characterization of the waveguides which are in agreement with each other.This work is supported by the Ministry of Education and Science of the Russian Federation, Russian Science Foundation (grant No. 14-19-00114), Spanish Government under Projects MAT2011-29255-C02-02, TEC2014-55948-R, MAT2013-47395, C4-4-R/1-R and by the Catalan Authority under Project 2014SGR135