Existence of asymptotically almost automorphic solutions to some abstract partial neutral integro-differential equations

The paper establishes the existence and uniqueness of asymptotically almost automorphic mild solution to an abstract partial neutral integro-differential equation with unbounded delay. An example is given to illustrate our results. (C) 2008 Elsevier Ltd. All rights reserved.

Almost automorphic mild solutions to some partial neutral functional-differential equations and applications

The paper considers the existence and uniqueness of almost automorphic mild solutions to some classes of first-order partial neutral functional-differential equations. Sufficient conditions for the existence and uniqueness of almost automorphic mild solutions to the above-mentioned equations are obtained. As an application, a first-order boundary value problem arising in control systems is considered. (C) 2007 Elsevier Ltd. All fights reserved.

Asymptotically almost periodic solutions for abstract neutral integro-differential equations

We study the existence of asymptotically almost periodic classical solutions for a class of abstract neutral integro-differential equation with unbounded delay. A concrete application to partial neutral integro-differential equations which arise in the study of heat conduction in fading memory material is considered. (C) 2011 Elsevier Inc. All rights reserved.

Pseudo-almost periodic solutions for abstract partial functional differential equations

In this work we study the existence and uniqueness of pseudo-almost periodic solutions for a first-order abstract functional differential equation with a linear part dominated by a Hille-Yosida type operator with a non-dense domain. (C) 2009 Published by Elsevier Ltd

Dynamics of a class of ODEs more general than almost periodic

A temporally global solution, if it exists, of a nonautonomous ordinary differential equation need not be periodic, almost periodic or almost automorphic when the forcing term is periodic, almost periodic or almost automorphic, respectively. An alternative class of functions extending periodic and almost periodic functions which has the property that a bounded temporally global solution solution of a nonautonomous ordinary differential equation belongs to this class when the forcing term does is introduced here. Specifically, the class of functions consists of uniformly continuous functions, defined on the real line and taking values in a Banach space, which have pre-compact ranges. Besides periodic and almost periodic functions, this class also includes many nonrecurrent functions. Assuming a hyperbolic structure for the unperturbed linear equation and certain properties for the linear and nonlinear parts, the existence of a special bounded entire solution, as well the existence of stable and unstable manifolds of this solution are established. Moreover, it is shown that this solution and these manifolds inherit the temporal behaviour of the vector field equation. In the stable case it is shown that this special solution is the pullback attractor of the system. A class of infinite dimensional examples involving a linear operator consisting of a time independent part which generates a C(0)-semigroup plus a small time dependent part is presented and applied to systems of coupled heat and beam equations. (C) 2010 Elsevier Ltd. All rights reserved.

Soluções quase automórficas para equações diferenciais abstratas de segunda ordem

Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)

A note on S-asymptotically periodic functions

In [Haiyin Gao, Ke Wang, Fengying Wei, Xiaohua Ding, Massera-type theorem and asymptotically periodic Logistic equations, Nonlinear Analysis: Real World Applications 7 (2006) 1268-1283, Lemma 2.1] it is established that a scalar S-asymptotically to-periodic function (that is, a continuous and bounded function f : [0, infinity) -> R such that lim(t ->infinity)(f (t + omega) - f (t)) = 0) is asymptotically omega-periodic. In this note we give two examples to show that this assertion is false. (C) 2008 Elsevier Ltd. Ail rights reserved.

Liiketoimintaprosessien uudelleenrakentaminen PK-yrityksessä

Tutkimuksen päätavoite on kehittää pintakäsittelylaitteita valmistavan PK-yrityksen liiketoimintaedellytyksiä suunnittelemalla sille uusi toimintamalli. Sysäyksen kehitysprojektille antoi liiketoiminnan kasvusta johtunut kontrollin pettäminen, mikä aiheutti kannattavuuden kääntymisen negatiiviseksi. Työn keskeisen viitekehyksen muodostavat kolme tekijää; kehitysmenetelmänä liiketoimintaprosessien uudelleenrakentaminen, yritysmuotona projektiliiketoiminta sekä uuden toimintamallin painopisteenä tuotannon ja asennuksen ulkoistaminen. Käytössä olevia liiketoimintaprosesseja analysoitaessa pystyttiin tunnistamaan useita ongelmakohtia yrityksen toiminnassa, joiden pohjalta määriteltiin parannustarpeet ja vaatimukset uusille prosesseille. Yrityksessä oli selkeänä ongelmana yleinen järjestelmällisyyden puute, mikä näkyi määrittelemättöminä liiketoimintaprosesseina ja tästä johtuvina ongelmina yrityksen lähes kaikissa toiminnoissa. Tekninen osaaminen on yrityksessä hyvää, mutta liikkeenjohdollinen puoli kaipaisi kehittämistä. Tyypillisiä ongelmia olivat vaikeasti ennustettavat tuotantoajat ja niistä johtuneet myöhästymiset toimituksissa, valmistusvirheet sekä tuotannon ja asennuksen tehottomuus. Omat vaatimuksensa uusille prosesseille asetti myös siirtyminen ulkoistettuun valmistukseen ja asennukseen. Uusien prosessien myötä keskeisimmät muutokset olivat panostaminen pitkän tähtäimen suunnitteluun, asiakastiedon hallinnan parantaminen, panostaminen alihankkijaverkoston johtamiseen, organisaation sisäisen viestinnän parantaminen ja siirtyminen etätyön mahdollistavaan ”virtuaalitoimistoon”.

Existência de soluções quase automórficas para equações diferenciais abstratas

Coordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES)

Kidney and cloaca function in the estuarine crocodile (Crocodylus porosus) at different salinities: Evidence for solute-linked water uptake

Kidney function and the role of the cloacal complex in osmoregulation was investigated in estuarine crocodile (Crocodylus porosus) exposed to three environmental salinities: hypo-, iso- and hyperosmotic to the plasma. Plasma homeostasis was maintained over the range of salinities. Antidiuresis occurred with increased salinity. Although urine from the kidneys retained an osmotic pressure between 77% and 82% of the plasma, over 93% and 98% of plasma chloride filtered at the glomeruli was reabsorbed during passage through the kidneys under hypo and hyperosmotic conditions, respectively, and only 64% in iso-osmotic water. The kidneys were the primary site of sodium reabsorption under hypo-and hyperosmotic conditions. Secondary processing of urine during storage in the cloaca varied with salinity. During post renal storage of urine, the difference in urine osmotic pressure increased from -26.1 +/- 15.5 to 35.66 +/- 9.29 mOsM with increased salinity, and potassium concentration of urine increased over 3-fold in C. porosus from freshwater. The almost complete reabsorption of both sodium and chloride under hyperosmotic conditions indicates the necessity for secretory activity by the lingual salt glands. The osmoregulatory response of the kidneys and cloacal complex to environmental salinity is both plastic and complementary. (C) 1998 Elsevier Science Inc.

Degree of conversion and mechanical properties of a BisGMA : TEGDMA composite as a function of the applied radiant exposure

Objective: Verify the influence of radiant exposure (H) on composite degree of conversion (DC) and mechanical properties. Methods: Composite was photoactivated with 3, 6, 12, 24, or 48 J/cm(2). Properties were measured after 48-h dry storage at room temperature. DC was determined on the flat surfaces of 6 mm x 2 mm disk-shaped specimens using FTIR. Flexural strength (FS) and modulus (FM) were accessed by three-point bending. Knoop microhardness number (KHN) was measured on fragments of FS specimens. Data were analyzed by one-way ANOVA/Tukey test, Student`s t-test, and regression analysis. Results: DC/top between 6 and 12 J/cm(2) and between 24 and 48 J/cm(2) were not statistically different. No differences between DC/top and bottom were detected. DC/bottom, FM, and KHN/top showed significant differences among all H levels. FS did not vary between 12 and 24 J/cm(2) and between 24 and 48 J/cm(2). KHN/bottom at 3 and 6 J/cm(2) was similar. KHN between top and bottom was different up to 12 J/cm(2). Regression analyses having H as independent variable showed a plateau region above 24 J/cm(2). KHN increased exponentially (top) or linearly (bottom) with DC. FS and FM increased almost linearly with DC/bottom up to 55% conversion. Conclusions: DC and mechanical properties increased with radiant exposure. Variables leveled off at high H levels. (C) 2007 Wiley Periodicals, Inc.

equivalence of almost bent and almost perfect nonlinear functions and their generalizations

Vectorial Boolean function, almost bent, almost perfect nonlinear, affine equivalence, CCZ-equivalence

Pulmonary artery pressure and cardiac function in children and adolescents after rapid ascent to 3,450 m.

High-altitude destinations are visited by increasing numbers of children and adolescents. High-altitude hypoxia triggers pulmonary hypertension that in turn may have adverse effects on cardiac function and may induce life-threatening high-altitude pulmonary edema (HAPE), but there are limited data in this young population. We, therefore, assessed in 118 nonacclimatized healthy children and adolescents (mean ± SD; age: 11 ± 2 yr) the effects of rapid ascent to high altitude on pulmonary artery pressure and right and left ventricular function by echocardiography. Pulmonary artery pressure was estimated by measuring the systolic right ventricular to right atrial pressure gradient. The echocardiography was performed at low altitude and 40 h after rapid ascent to 3,450 m. Pulmonary artery pressure was more than twofold higher at high than at low altitude (35 ± 11 vs. 16 ± 3 mmHg; P < 0.0001), and there existed a wide variability of pulmonary artery pressure at high altitude with an estimated upper 95% limit of 52 mmHg. Moreover, pulmonary artery pressure and its altitude-induced increase were inversely related to age, resulting in an almost twofold larger increase in the 6- to 9- than in the 14- to 16-yr-old participants (24 ± 12 vs. 13 ± 8 mmHg; P = 0.004). Even in children with the most severe altitude-induced pulmonary hypertension, right ventricular systolic function did not decrease, but increased, and none of the children developed HAPE. HAPE appears to be a rare event in this young population after rapid ascent to this altitude at which major tourist destinations are located.

Genetic dissection of c-Myc function during mouse organogenesis

Résumé Le gène c-myc est un des oncogènes les plus fréquemment mutés dans les tumeurs humaines. Même si plus de 70 % des cancers humains montrent une dérégulation de c-Myc, les connaissances sur son rôle physiologique pendant le développement, et dans la souris adulte restent très peu connus. Récemment, notre laboratoire a pu montrer que c-Myc contrôle l'équilibre entre le renouvellement et la différenciation des cellules souches hématopoïetiques (CSH) dans la souris adulte. Ceci est probablement dû à lacapacité de c-Myc de contrôler l'entrée et la sortie des CSH de leur niche de la moelle osseuse, en régulant plusieurs molécules d'adhésion, parmi lesquelles la cadhérine-N (Wilson et al., 2004; Wilson and Trumpp, 2006). Des études utilisant un mutant d'inactivation ont demontré que la protéine c-Myc est essentielle pour le développement au delà du jour embryonnaire E9.5. Les embryons c-Myc déficients sont plus petits que la normale et possèdent de nombreux défauts; en particulier ils ne peuvent établir un système hématopoietique embryonnaire primitif (Trumpp et al., 2001). Nous avons récemment découvert que le développement du placenta dépend de la présence de cMyc. Ceci permet de proposer que certains, sinon tous, les défauts embryonnaires puorraient dériver indirectement d'un défaut nutritionnel causé par la défaillance du placenta. Afin de répondre à cette question de manière génétique, nous avons utilisé l'allele conditionel c-mycflox (Trumpp et al., 2001) en combinaison avec l'allele Sox2-Cre (Hayashi et al., 2002). Celui-ci détermine l'expression de la récombinase Cre spécifiquement dans les cellules de l'épiblaste à partir de E6.5, tandis qu'il n'y a pas, ou seulement très peu, d'activité de la récombinase Cre dans les tissus extraembryonnaires.Alnsi, cette stratégie nous permet de générer des embryons sans c-Myc qui se développent en présence d'un compartment extraembryonnaire ou c-Myc est exprimé normalement (Sox2Cre;c-mycflox2) Ces embryons, Sox2Cre;c-mycflox2 se développent et grandissent normalement tout en formant un système vasculaire normal, mais meurent à E11.5 à cause d'un sévère manque de cellules hématopoïetiques. De façon très intéressante, la seule population qui semble être présente en nombre à peu près normal dans ces embryons est celle des précurseurs et des cellules souches. Les cellules qui forment cette population prolifèrent normalement mais ne peuvent pas former des colonies in vitro, ce qui montre que ces cellules ont perdu leur activité de cellules souches. Cependant, lorsque nous avons analysé ces cellules plus en détail en éxaminant l'expression des molécules d'intégrine nous avons découvert que l'integrine ß est sur-éxprimée à la surface des cellules c-Myc déficientes. Ceci pourrait indiquer un mécanisme par lequel c-Myc régule des molécules d'adhésion sur les cellules du sang. En conséquence, en absence de c-Myc, l'adhésion et la migration des cellules du sang de l'AGM (Aorte-Gonade-Mésonéphros) vers le foie de l'embryon, à travers le système vasculaire, est compromise. En outre, nous avons pu montrer que les hépatocytes du foie, qui constitue le site principal de formation des cellules hématopoïetiques pendant le développement, est sévèrement atteint dans des Sox2Cre;c-mycflox2 embryons. Ceci n'est pas du à un défaut propre aux cellules hépatiques qui ont perdu c-Myc, mais résulte plutôt de l'absence de cellules hématopoietïques qui normalement colonisent le foie à ce stade du développement. Ces résultats représentent la première preuve directe que le développement des hépatoblastes est dépendant de signaux provenant des cellules du sang. Summary The myc gene is one of the most frequently mutated oncogenes in human tumors. It is found to be mis-regulated in over 70% of all human cancers. However, our knowledge about its physiological role in mammalian development and adulthood remains limited. Recent work in our laboratory showed that c-Myc controls the balance between hematopoietic stem cell (HSC) self-renewal and differentiation in the adult mouse. This is likely due to the capacity of c-Myc to control entry and exit of HSCs from the bone marrow niche by regulating a number of cell adhesion molecules including N-cadherin (Wilson et al., 2004; Wilson and Trumpp 2006). During development knockout studies showed that c-Myc is required for embryonic development beyond embryonic day (E) 9.5. c-Myc deficient embryos are severely reduced in size and show multiple defects including the failure to establish a primitive hematopoietic system (Trumpp et al., 2001). Importantly, we recentry uncovered that placental development also seems to depend on normal c-Myc function, raising the possibility that some if not all of the embryonic defects observed could be mediated indirectly by a nutrition defect caused by placental failure. To address this possibility genetically, we took advantage of the conditional c-mycflox allele (Trumpp et al., 2001) in combination with the Sox2-Cre allele (Hayashi et al., 2002), in which Cre expression is specifically targeted to all epiblast cells by E6.5, while there is little or no Cre activity inextra-embryonic lineages. Thus, this strategy allows the generation of c-Myc deficient embryos, which develop within a normal c-Myc expressing extra-embryonic compartment (Sox2Cre;c-mycflox2) Such Sox2Cre;c-mycflox2 embryos develop and grow appropriately and form a normal vascular system but die at E11.5 due to a severe lack of blood cells. Interestingly, the only hematopoietic population that seems to be present in almost normal numbers in the embryo is the stem/progenitor cell population. Cells within this populatíon proliferate normal but can not give rise to hematopoietic colonies in vitro showing that functional hematopoietic stem cell (HSC) activity is lost. However, when we analyzed these phenotypic HSCs in more detail and examined integrin expression in mutant stem/progenitor cells, we observed that ß1-integrin is upregulated. This may point to a potential mechanism whereby c-Myc regulates adhesíon molecules on hematopoietic cells and thereby disturbs adhesion and migration from the AGM (aorta-gonads-mesonephros) through the vascular system to the liver. Furthermore, we uncovered that the fetal liver, the main site of hematopoietic expansion at that stage, is severely affected in Sox2Cre;c-mycflox2 embryos and that this is not due to a cell intrinsic defect of c-Myc deficient hepatocytes but rather due to the lack of hematopoietic cells that normally colonize the fetal liver at that stage of development. This provides first direct evidence that hepatoblast development depends on signals derived from blood cells.

The function of a new regulator of epidermal differentiation, HOP, and pathomechanisms underlying epidermolytic hyperkeratosis

The process of epidermal differentiation involves proliferation, differentiation, migration and maturation of keratinocytes to form an impermeable barrier against water loss and outside environment. It is controlled by highly balanced regulatory machinery, involving many molecules that are still under investigation.Homeobox proteins are involved in body patterning and morphogenesis of organs and are studied as potentially good candidates to regulate this process. In the first project we investigated the role of a protein named HOP which belongs to a group of homeobox proteins. Even if HOP is a small protein almost completely composed of the homeodomain and without DNA binding capacity, it is considered as transcriptional regulator in different tissues. HOP interacts with serum response factor (SRF) and histone deacetylase type 2 (HDAC2). By microarray analysis we found that HOP expression increases in cultured human primary keratinocytes (NHK) which undergo calcium-induced differentiation. HOP protein was localized in granular layer of the epidermis of healthy individuals. Lack of HOP was demonstrated in psoriatic lesions, whereas a strong expression was demonstrated in the lesional skin of patients affected with lichen planus (LP). Since LP is characterized by hypergranulosis while psoriatic lesions by progressive lack of the granular layer, the obtained data indicated that HOP might have a potential function in granular layer of epidermis. To investigate HOP function, we inhibited its expression by using HOP specific StealthRNAi and we overexpressed HOP using lentiviral vectors in differentiating NHK. The conclusion of both experiments indicated that HOP positively regulates the expression of late differentiation markers, such as profilaggrin, loricrin and transglutaminase 1. The in vitro data were next confirmed in vivo using HOP knockout mouse model.The second part of my study involved analysis of mechanisms underlying the pathogenesis of epidermolytic hyperkeratosis (EHK). EHK is a genetic disorder characterized by erythema, skin blistering, keratinocyte hyperproliferation and hyperkeratosis. EHK is caused by mutations in keratin 1 or 10 (K1, K10) which are major structural proteins of differentiated keratinocytes and participate in the cellular scaffold formation. To investigate how the structural proteins carrying mutations alter cellular signaling, we established an in vitro model for EHK by overexpression of one of the most common K10 mutations reported so far (K10R156H), in primary human keratinocytes. In order to mimic the in vivo situation, mutated keratinocytes growing on silicone membranes were subjected to mechanical stretch. We observed strong collapse of KIF in K10R156H keratinocytes when subjected to stretch for 30 minutes. Our data demonstrated stronger activation of p38, a member of MAPK stress signaling pathways, in K10R156H when compared to control cells. We demonstrated also that K10R156H keratinocytes showed an induction of TNF-α and RANTES release in response to stretch.Taken together these studies characterize a novel regulator of epidermal differentiation - HOP and demonstrate new aspects implicated in the pathogenesis of EHK.