Reaction-Diffusion Equations with Non-Autonomous Force In H-1 and Delays Under Measurability Conditions on The Driving Delay Term

In this paper we analyze the existence of solutions for a reaction–diffusion problem with hereditary effects and a time-dependent force term with values in H−1. The main novelty is that the delay term may be driven by a function under very minimal assumptions, namely, just measurability. This is due to the fact that we only deal with a phase-space of functions continuous in time, allowing this general setting, which might be more useful when less regularity is known in the hereditary mechanism. After that, we obtain uniform estimates and asymptotic compactness properties (via an energy method) that allow us to ensure the existence of pullback attractors for the associated process to the problem. Actually, we obtain two different families of minimal pullback attractors, namely, those of fixed bounded sets but also for a class of time-dependent families (universe) given by a tempered condition. Finally, from comparison results, we establish relations among them, and under suitable additional assumptions we conclude that these families of attractors are in fact the same object

Attractors for a Double Time-Delayed 2D-Navier-Stokes Model

In this paper, a double time-delayed 2D-Navier-Stokes model is considered. It includes delays in the convective and the forcing terms. Existence and uniqueness results and suitable dynamical systems are established. We also analyze the existence of pullback attractors for the model in several phase-spaces and the relationship among them

Pullback Attractors for Three-Dimensional Non-Autonomous Navier-Stokes-Voigt Equations

In this paper, we consider a non-autonomous Navier–Stokes–Voigt model, with which a continuous process can be associated. We study the existence and relationship between minimal pullback attractors for this process in two different frameworks, namely, for the universe of fixed bounded sets, and also for another universe given by a tempered condition.Since the model does not have a regularizing effect, obtaining asymptotic compactness for the process is a more involved task. We prove this in a relatively simple way just using an energy method. Our results simplify—and in some aspects generalize—some of those obtained previously for the autonomous and non-autonomous cases, since for example in section 4, regularity is not required for the boundary of the domain and the force may take values in V′. Under additional suitable assumptions, regularity results for these families of attractors are also obtained, via bootstrapping arguments. Finally, we also conclude some results concerning the attraction in the D(A) norm

H^2-boundedness of the pullback attractors for non-autonomous 2D Navier-Stokes equations in bounded domains

We prove some regularity results for the pullback attractors of a non-autonomous 2D Navier–Stokes model in a bounded domain Ω of R2. We establish a general result about (H2(Ω))2∩V-boundedness of invariant sets for the associate evolution process. Then, as a consequence, we deduce that, under adequate assumptions, the pullback attractors of the non-autonomous 2D Navier–Stokes equations are bounded not only in V but also in (H2(Ω))2

Regularity of pullback attractors and attraction in H1 in arbitrarily large finite intervals for 2D Navier-Stokes equations with infinite delay

In this paper we strengthen some results on the existence and properties of pullback attractors for a non-autonomous 2D Navier-Stokes model with infinite delay. Actually we prove that under suitable assumptions, and thanks to regularity results, the attraction also happens in the H1 norm for arbitrarily large finite intervals of time. Indeed, from comparison results of attractors we establish that all these families of attractors are in fact the same object. The tempered character of these families in H1 is also analyzed

Pullback attractors in V for non-autonomous 2D-Navier-Stokes equations and their tempered behaviour

In this paper the asymptotic behaviour of the solutions to a non-autonomous 2D-Navier–Stokes model is analyzed when the initial datum belongs to V, for two frameworks: the universe of fixed bounded sets, and also for another universe given by a tempered condition. The existence of pullback attractors in these different universes is established, and thanks to regularity properties, the relation between these several families of attractors and the corresponding in H is successfully studied. Finally, two results about the tempered behaviour in V and (H2(Ω))2 of the pullback attractors, when time goes to −∞, are obtained

Regular insulin added to total parenteral nutrition vs subcutaneous glargine in non-critically ill diabetic inpatients, a multicenter randomized clinical trial: INSUPAR trial

Background: There is no established insulin regimen in T2DM patients receiving parenteral nutrition. Aims: To compare the effectiveness (metabolic control) and safety of two insulin regimens in patients with diabetes receiving TPN. Design: Prospective, open-label, multicenter, clinical trial on adult inpatients with type 2 diabetes on a non-critical setting with indication for TPN. Patients were randomized on one of these two regimens: 100% of RI on TPN or 50% of Regular insulin added to TPN bag and 50% subcutaneous Gl. Data were analyzed according to intention-to-treat principle. Results: 81 patients were on RI and 80 on GI. No differences were observed in neither average total daily dose of insulin, programmed or correction, nor in capillary mean blood glucose during TPN infusion (165.3 +/- 35.4 in RI vs 172.5 +/- 43.6 mg/dL in GI; p = 0.25). Mean capillary glucose was significantly lower in the GI group within two days after TPN interruption (160.3 +/- 45.1 in RI vs 141.7 +/- 43.8 mg/dL in GI; p = 0.024). The percentage of capillary glucose above 180 mg/dL was similar in both groups. The rate of capillary glucose <= 70 mg/dL, the number of hypoglycemic episodes per 100 days of TPN, and the percentage of patients with non-severe hypoglycemia were significantly higher on GI group. No severe hypoglycemia was detected. No differences were observed in length of stay, infectious complications, or hospital mortality. Conclusion: Effectiveness of both regimens was similar. GI group achieved better metabolic control after TPN interruption but non-severe hypoglycemia rate was higher in the GI group. (C) 2019 The Author(s). Published by Elsevier Ltd

Fish Oil Enriched Intravenous Lipid Emulsions Reduce Triglyceride Levels in Non-Critically Ill Patients with TPN and Type 2 Diabetes. A Post-Hoc Analysis of the INSUPAR Study

There are no studies that have specifically assessed the role of intravenous lipid emulsions (ILE) enriched with fish oil in people with diabetes receiving total parenteral nutrition (TPN). The objective of this study was to assess the metabolic control (glycemic and lipid) and in-hospital complications that occurred in non-critically ill inpatients with TPN and type 2 diabetes with regard to the use of fish oil emulsions compared with other ILEs. We performed a post-hoc analysis of the Insulin in Parenteral Nutrition (INSUPAR) trial that included patients who started with TPN for any cause and that would predictably continue with TPN for at least five days. The study included 161 patients who started with TPN for any cause. There were 80 patients (49.7%) on fish oil enriched ILEs and 81 patients (50.3%) on other ILEs. We found significant decreases in triglyceride levels in the fish oil group compared to the other patients. We did not find any differences in glucose metabolic control: mean capillary glucose, glycemic variability, and insulin dose, except in the number of mild hypoglycemic events that was significantly higher in the fish oil group. We did not observe any differences in other metabolic, liver or infectious complications, in-hospital length of stay or mortality

Home parenteral nutrition (HPN) registry in spain for the years 2007, 2008 and 2009 (Nadya-SENPE group)

Objetivo: Comunicar los datos del registro de Nutrición Parenteral Domiciliaria (NPD) del grupo de trabajo NADYA-SENPE de los años 2007, 2008 y 2009. Material y métodos: Recopilación de los datos del registro “on-line” introducidos por las Unidades responsables del seguimiento de la NPD desde el 1 de enero de 2007 al 31 de diciembre de 2009 dividido por años naturales. Resultados: Año 2007: Se registraron 133 pacientes con NPD (61 hombres y 72 mujeres), de 21 hospitales. La edad media de los 119 pacientes mayores de 13 años fue de 53,7 ± 14,9 años, y de 3,6 ± 3,6 años la de los 14 pacientes que no los superaban. La patología más frecuente fue la neoplasia (24%) seguida de las alteraciones de la motilidad intestinal y la enteritis posradiación (ambas 14%). En el 43% de los casos el motivo de indicación fue el síndrome de intestino corto, seguido de malabsorción (27%) y obstrucción intestinal (23%). Los catéteres más utilizados fueron los tunelizados (69%) y los reservorios subcutáneos (27%). Las complicaciones mas frecuentes fueron las sépticas relacionadas con el catéter con una tasa de 0,92 infecciones por cada mil días de NPD. La duración de la NPD fue superior a los dos años en el 50% de los casos. Al acabar el año seguía en activo el 71,4% de los pacientes; la muerte fue la principal causa de la finalización de la NPD (57,5%). El 26% de los pacientes se consideraron candidatos al trasplante intestinal. Año 2008: Se registraron 143 pacientes con NPD (62 hombres y 81mujeres), de 24 hospitales. La edad media de los 133 pacientes mayores de 13 años fue de 54,7 ± 13,9 años, y de 3,7 ± 0,6 años la de los 10 pacientes que no los superaban. La patología más frecuente fue la neoplasia (20%) seguida de la enteritis rádica (14%) y las alteraciones de la motilidad intestinal (13%). En el 44% de los casos el motivo de indicación fue el síndrome de intestino corto, seguido de malabsorción (28%) y obstrucción Nutriintestinal (20%). Los catéteres más utilizados fueron los tunelizados (60%) y los reservorios subcutáneos (29%). Las complicaciones mas frecuentes fueron las sépticas relacionadas con el catéter con una tasa de 0,50 infecciones por cada mil días de NPD. La duración de la NPD fue superior a los dos años en el 67% de los casos. Al acabar el año seguía en activo el 71,6% de los pacientes; la muerte fue la principal causa de la finalización de la NPD (52,4%). El 29% de los pacientes se consideraron candidatos al trasplante intestinal. Año 2009: Se registraron 158 pacientes con NPD (62 hombres y 96 mujeres), de 24 hospitales. La edad media de los 149 pacientes mayores de 13 años fue de 55,2 ± 13,0 años. La patología más frecuente fue la neoplasia (25%) seguida de la enteritis rádica (12%) y las alteraciones de la motilidad intestinal (11%). En el 42% de los casos el motivo de indicación fue el síndrome de intestino corto, seguido de malabsorción y obstrucción intestinal (ambas 23%). Los catéteres más utilizados fueron los tunelizados (60%) y los reservorios subcutáneos (36%). Las complicaciones mas frecuentes fueron las sépticas relacionadas con el catéter con una tasa de 0,67 infecciones por cada mil días de NPD. La duración de la NPD fue superior a los dos años en el 58% de los casos. Al acabar el año seguía en activo el 79,2% de los pacientes; el paso a alimentación oral fue la principal causa de la finalización de la NPD (48%). El 23% de los pacientes se consideraron candidatos a trasplante intestinal. Conclusiones: Se observa un aumento progresivo de los pacientes registrados respecto a años anteriores con una prevalencia muy variable según comunidades autónomas. La principal patología sigue siendo la neoplasia, que ocupa el primer lugar desde 2003. Se aprecia una disminución de las complicaciones sépticas relacionadas con el catéter en los dos últimos años, siendo la tasa de 2008 la más baja desde la creación del registroObjective: To report the data of the Home Parenteral Nutrition (HPN) registry of the NADYA-SENPE working group for the years 2007, 2008 and 2009. Methodology: We compiled the data from the on-line registry introduced by the responsible Units for the monitoring of HPN from January 1st 2007 to December 31st 2009. Included fields were: age, sex, diagnosis and reason for HPN, access path, complications, beginning and end dates, complementary oral or enteral nutrition, activity level, autonomy degree, product and fungible material supply, withdrawal reason and intestinal transplant indication. Results: 2007: 133 patients with HPN were registered (61 males and 72 females), belonging to 21 hospitals. Average age for the 119 patients older than 13 years old was 53.7 ± 14.9 years, and 3.6 ± 3.6 y. for the 14 patients under 14 years old. Most frequent pathology was neoplasm (24%), followed by intestinal motility disorders and actinic enteritis (14% both). The reason for HPN provision was short bowel syndrome (43%), malabsorption (27%), and intestinal obstruction (23%). Tunnelled catheters were mostly used (69%), followed by implanted port-catheters (27%). Catheter related infections were the most frequent complications, with a rate of 0.92 episodes/103 HPN days. HPN was provided for more than two years in 50% of the cases. By the end of 2007, 71.4% of the patients remained active; exitus was the most frequent reason to end HPN (57.5%). 26% of the patients were eligible for intestinal transplant. 2008: 143 patients with HPN were registered (62 males and 81 females), belonging to 24 hospitals. Average age for the 133 patients older than 13 years old was 54.7 ± 13.9 years, and 3.7 ± 0.6 y. for the 10 patients under 14 years old. Most frequent pathology was neoplasm (20%), followed by actinic enteritis (14%) and intestinal motility disorders (13% ). The reason for HPN provision was short bowel syndrome (44%), malabsorption (28%), and intestinal obstruction (20%). Tunnelled catheters were mostly used (60%), followed by implanted port-catheters (29%). Catheter related infections were the most frequent complications, with a rate of 0.50 episodes/103 HPN days. HPN was provided for more than two years in 67% of the cases. By the end of 2008, 71.6% of the patients remained active; exitus was the most frequent reason to end HPN (52.4%). 29% of the patients were eligible for intestinal transplant. 2009: 158 patients with HPN were registered (62 males and 96 females), belonging to 24 hospitals. Average age for the 149 patients older than 13 years old was 55.2 ± 13.0 years. Most frequent pathology was neoplasm (25%), followed by actinic enteritis (12%) and intestinal motility disorders (11%). The reason for HPN provision was short bowel syndrome (42%), malabsorption, and intestinal obstruction (23% both). Tunnelled catheters were mostly used (60%), followed by implanted port-catheters (36%). Catheter related infections were the most frequent complications, with a rate of 0.67 episodes/103 HPN days. HPN was provided for more than two years in 58% of the cases. By the end of 2009, 79.2% of the patients remained active; full oral nutrition was the most frequent reason to end HPN (48%). 23% of the patients were eligible for intestinal transplant. Conclusions: We observe an increase in registered patients with respect to previous years, with a very different prevalence among regions. Neoplasia remains as the main pathology since 2003. We observe a decrease in catheter-related infections in the last two years, being the 2008 rate the smallest since the register’s beginning