Green-Ampt approximations

The solution to the Green and Ampt infiltration equation is expressible in terms of the Lambert W-1 function. Approximations for Green and Ampt infiltration are thus derivable from approximations for the W-1 function and vice versa. An infinite family of asymptotic expansions to W-1 is presented. Although these expansions do not converge near the branch point of the W function (corresponds to Green-Ampt infiltration with immediate ponding), a method is presented for approximating W-1 that is exact at the branch point and asymptotically, with interpolation between these limits. Some existing and several new simple and compact yet robust approximations applicable to Green-Ampt infiltration and flux are presented, the most accurate of which has a maximum relative error of 5 x 10(-5)%. This error is orders of magnitude lower than any existing analytical approximations. (c) 2005 Elsevier Ltd. All rights reserved.

Explicit Expressions for Solar Panel Equivalent Circuit Parameters Based on Analytical Formulation and the Lambert W-Function

Due to the high dependence of photovoltaic energy efficiency on environmental conditions (temperature, irradiation...), it is quite important to perform some analysis focusing on the characteristics of photovoltaic devices in order to optimize energy production, even for small-scale users. The use of equivalent circuits is the preferred option to analyze solar cells/panels performance. However, the aforementioned small-scale users rarely have the equipment or expertise to perform large testing/calculation campaigns, the only information available for them being the manufacturer datasheet. The solution to this problem is the development of new and simple methods to define equivalent circuits able to reproduce the behavior of the panel for any working condition, from a very small amount of information. In the present work a direct and completely explicit method to extract solar cell parameters from the manufacturer datasheet is presented and tested. This method is based on analytical formulation which includes the use of the Lambert W-function to turn the series resistor equation explicit. The presented method is used to analyze commercial solar panel performance (i.e., the current-voltage–I-V–curve) at different levels of irradiation and temperature. The analysis performed is based only on the information included in the manufacturer’s datasheet.

Explicit expressions for solar panel equivalent circuit parameters based on analytical formulation and the Lambert W - Function

Due to the high dependence of photovoltaic energy efficiency on environmental conditions (temperature, irradiation...), it is quite important to perform some analysis focusing on the characteristics of photovoltaic devices in order to optimize energy production, even for small-scale users. The use of equivalent circuits is the preferred option to analyze solar cells/panels performance. However, the aforementioned small-scale users rarely have the equipment or expertise to perform large testing/calculation campaigns, the only information available for them being the manufacturer datasheet. The solution to this problem is the development of new and simple methods to define equivalent circuits able to reproduce the behavior of the panel for any working condition, from a very small amount of information. In the present work a direct and completely explicit method to extract solar cell parameters from the manufacturer datasheet is presented and tested. This method is based on analytical formulation which includes the use of the Lambert W-function to turn the series resistor equation explicit. The presented method is used to analyze the performance (i.e., the I - V curve) of a commercial solar panel at different levels of irradiation and temperature. The analysis performed is based only on the information included in the manufacturer's datasheet.

Regulation of HCF-1 function via proteolytic maturation and HCF-1 subunit interaction

Abstract : Host-Cell Factor 1 (HCF-1) was first discovered in the study of the herpes simplex virus (HSV) infection. HCF-1 is one of the two cellular proteins that compose the VP16-induced complex, a key activator of HSV lytic infection. lncleed, when HSV infects human cells, it is able to enter two modes of infection: lytic or latent. The V`P16-induced complex promotes the lytic mode and in so doing the virus targets important cellular regulatory proteins, such as HCF-1, to manipulate the status of the infected cell. Indeed, HCF-1 regulates human cell proliferation and the cell cycle at different steps. In human, HCF-1 is unusual in that it undergoes a process of proteolytic maturation that results from cleavages at six centrally located 26 amino acid repeats called HCF-1pro repeats. This generates a heterodimeric complex of stably associated amino- (HCF-1n) and carboxy- (HCF-1c) terminal subunits. The absence of the HCF-1 N or HCF-1; subunit leads predominantly to either G1 or M phase defects, respectively. We have hypothesized that HCF-1 forms a heterodimeric complex to permit communication between the two subunits of HCF-1 involved in regulating different phases of the cell cycle. Indeed, there is evidence for such inter-subunit communication because a point mutation called P134S in the HCF-1N subunit in the temperature-sensitive hamster cell line tsBN67 causes, addition to G1- phase defects associated with the HCF-1n subunit, M-phase defects similar to the defects seen upon loss of HCF-1 function. Furthermore, inhibition of the proteolytic maturation of HCF-1 by deletion of the six HCF-1pro repeats (HCF-1Aimo) also leads to M-phase defects, specifically cytokinesis defects leading to binucleation, indicating that there is loss of HCF-15 function in the absence of HCF-1 maturation. I demonstrate that individual point mutations in each of the six HCF-1pro repeats that prevent HCF-1 proteolytic maturation also lead to binucleation; however, this defect can be latgely rescued by the presence of just one HCF-1pRO sequence in I-ICF»1. These results argue that processing itself is important for the HCF-1g function. In fact, until now, the hypothesis was that the proteolytic processing per se is more important for HCF-1C function than the proteolytic processing region. But I show that processing per se is not sufticient to rescue multinucleation, but that the HCF-lpm sequence itself is crucial. This discovery leads to the conclusion that the I-ICF-1pRO repeats have an additional function important for HCF-le function. From the studies of others, one potential function of the HCF-lrxo tepeats is as a binding site for O-link NAcetyl glycosamine tansferase (OGT) to glycosylate an HCF-1n-sunbunit region called the Basic region. This new function suggests the Basic region of HCF-1n is also implicated in the communication between the two subunits. This inter-subunit communication was analyzed in more detail with the studies of the Pl34S mutation and the residues 382-450 region of HCF-l that when removed prevents HCF-l subunit association. I demonstrate that the point mutation also leads to a binucleation defect in Hela cells as well as in the tsBN67 cells. In addition, the effect of this mutation on the regulation of HCF-1c activity seems to interfere with that of the HCF-lpgg repeats because the sum of the deletion of the proteolytic processing region and the point mutation surprisingly leads to re-establishment of correct cytokinesis. The study of the 382-450 HCF-lN region also yielded surprising results. This region important for the association of the two subunits is also important for both HCF-1c function in M phase and G1 phase progression. Thus, I have discovered two main functions of this region: its role in the regulation of HCF-lc function in M phase and its involvement in the regulation of G1/S phase ?- an HCF-1n function. These results support the importance of inter-subunit communication in HCF-1 functions. My research illuminates the understanding of the interaction of the two subunits by showing that the whole HCF-1n subunit is involved in the inter-subunit communication in order to regulate HCF-1c function. For this work, I was concentrated on the study of cytokinesis; the first phenotype showing the role of HCF-1c in the M phase. Then, I extended the study of the M phase with analysis of steps earlier to cytokinesis. Because some defects in the chromosome segregation was already described in the absence of HCF-1, I decided to continue the study of M phase by checking effects on the chromosome segregation. I showed that the HCF-1n subunit and HCF-1pro repeats are both important for this key step of M phase. I show that the binucleation phenotype resulting from deletion or mutation in HCF-1pro repeats, Pl34S point mutation or the lack of the region 382-450 are correlated with micronuclei, and chromosome segregation and alignment defects. This suggests that HCF«lç already regulates M phase during an early step and could be involved in the complex regulation of chromosome segregation. Because one of the major roles of HCF-1 is to be a transcription regulator, I also checked the capacity of HCF-1 to bind to the chromatin in my different cell lines. All my recombinant proteins can bind the chromatin, except for, as previously described, the HCF-1 with the P134S point mutation, This suggests that the binding of HCF-1 to the chromatin is not dependant to the Basic and proteolytic regions but more to the Kelch domain. Thus, if the function of HCF-ig in M phase is dependant to its chromatin association, the intercommunication and the proteolytic region are not involved in the ability to bind to the chromatin but more to bind to the right place of the chromatin or to be associated with the co-factors. Résumé : L'étude de l'infection par le virus Herpes Simplex (HSV) a permis la découverte de la protéine HCF-1 (Host-Cell Factor). HCF-1 est une des protéines cellulaires qui font partie du complexe induit par VP16 ; ce complexe est la clef pour l'activation de la phase lytique de HSV. Afin de manipuler les cellules infectées, le complexe induit pas le VPIG devrait donc cibler les protéines importantes pour la régulation cellulaire, telles que la protéine HCF-1. Cette dernière s'avère donc être un senseur pour la cellule et devrait également jouer un rôle de régulation lors des différentes phases du cycle cellulaire. Chez l'humain, HCF-1 a la particularité de devoir passer par une phase de maturation pour devenir active. Lors de cette maturation, la protéine subit une coupure protéolytique au niveau de six répétitions composées de 26 acides aminés, appelé HCF-1pro repeats. Cette coupure engendre la formation d'un complexe formé de deux sous-unités, HCF-1n et HCF-1c, associées l'une à l'autre de façon stable. Enlever la sous-unité HCF-IN ou C entraîne respectivement des défauts dans la phase G1 et M. Nous pensons donc que HCF-1 forme un complexe hétérodimérique afin de permettre la communication entre les molécules impliquées dans la régulation des différentes phases du cycle cellulaire. Cette hypothèse est déduite suite à deux études: l'une réalisée sur la lignée cellulaire tsBN67 et l'autre portant sur l'inhibition de la maturation protéolytique. La lignée cellulaire tsBN67, sensible à la température, porte la mutation Pl 345 dans la sous-unité HCF-1n. Cette mutation, en plus d'occasionner des défauts dans la phase G1 (défauts liés à la sous-unité HCF-1N), a aussi pour conséquence d'entrainer des défauts dans la phase M, défauts similaires à ceux dus a la perte de la sous-unité HCF-1c. Quant à la maturation protéolytique, l'absence de la région de la protéolyse provoque la binucléation, défaut lié à la cytokinèse, indiquant la perte de la fonction de la sous-unité HCF-1c. Au cours de ma thèse, j'ai démontré que des mutations dans les HCF-1=no repeats, qui bloquent la protéolyse, engendrent la binucléation ; cependant ce défaut peut être corrigé pas l'ajout d'un HCF-1pro repeat dans un HCF-1 ne contenant pas la région protéolytique. Ces résultats soutiennent l'idée que la région protéolytique est importante pour le bon fonctionnement de HCF-1c. En réalité jusqu'a maintenant on supposait que le mécanisme de coupure était plus important que la région impliquée pour la régulation de la fonction de HCF-1;. Mais mon étude montre que la protéolyse n'est pas suffisante pour éviter la binucléation ; en effet, les HCF-1pro repeats semblent jouer le rôle essentiel dans le cycle cellulaire. Cette découverte conduit à la conclusion que les HCF-1pro repeats ont sûrement une fonction autre qui serait cruciale pour la foncton de HCF-1c. Une des fonctions possibles est d'être le site de liaison de l'O-linked N-acetylglucosamine transférase (OGT) qui glycosylerait la région Basique de HCF-1n. Cette nouvelle fonction suggère que la région Basique est aussi impliquée dans la communication entre les deux sous- unités. L'intercommunication entre les deux sous-unités ai été d'ailleurs analysée plus en détail dans mon travail à travers l'étude de la mutation Pl34S et de la région 382-450, essentielle pour l'association des deux sous»unités. J'ai ainsi démontré que la mutation P134S entraînait aussi des défauts dans la cytokinése dans la lignée cellulaire Hela, de plus, son influence sur HCF-1c semble interférer avec celle de la région protéolytique. En effet, la superposition de ces deux modifications dans HCF-1 conduit au rétablissement d'une cytokinése correcte. Concernant la région 382 à 450, les résultats ont été assez surprenants, la perte de cette région provoque l'arrêt du cycle en G1 et la binucléation, ce qui tend à prouver son importance pour le bon fonctionnement de HCF-1n et de HCF-1c. Cette découverte appuie par conséquent l'hypotl1èse d'une intercommunicatzion entre les deux sous-unités mettant en jeu les différentes régions de HCF-1n. Grâce à mes recherches, j'ai pu améliorer la compréhension de l'interaction des deux sous-unités de HCF-1 en montrant que toutes les régions de HCF-1n sont engagées dans un processus d'intercommunication, dont le but est de réguler l'action de HCF-1c. J'ai également mis en évidence une nouvelle étape de la maturation de HCF-1 qui représente une phase importante pour l'activation de la fonction de HCF-1c. Afin de mettre à jour cette découverte, je me suis concentrée sur l'étude de l'impact de ces régions au niveau de la cytokinése qui fut le premier phénotype démontrant le rôle de HCF-1c dans la phase M. A ce jour, nous savons que HCF-1c joue un rôle dans la cytokinèse, nous ne connaissons pas encore sa fonction précise. Dans le but de cerner plus précisément cette fonction, j'ai investigué des étapes ultérieures ai la cytokinèse. Des défauts dans la ségrégation des chromosomes avaient déjà été observés, ai donc continué l'étude en prouvant que HCF-1n et les HCF-1pro repeats sont aussi importants pour le bon fonctionnement de cette étape clef également régulée par HCF-1c. J' ai aussi montré que la région 382-450 et la mutation P134S sont associées à un taux élevé de micronoyaux, de défauts dans la ségrégation des chromosomes. L'une des fonctions principales de HCF-1 étant la régulation de la transcription, j'ai aussi contrôlé la capacité de HCF-1 à se lier à la chromatine après insertion de mutations ou délétions dans HCF-1n et dans la région protéolytique. Or, à l'exception des HCF-1 contenant la mutation P134S, la sous-unité HCF-1c des HCF-1 tronquées se lie correctement à la chromatine. Cette constatation suggère que la liaison entre HCF-1c et chromatine n'est pas dépendante de la région Basique ou Protéolytique mais peut-être vraisemblablement de la région Kelch. Donc si le rôle de HCF-1c est dépendant de sa capacité â activer la transcription, l'intercommunication entre les deux sous-unités et la région protéolytique joueraient un rôle important non pas dans son habileté à se lier à la chromatine, mais dans la capacité de HCF-1 à s'associer aux co-facteurs ou à se placer sur les bonnes régions du génome.

Direct evidence for endothelial vascular endothelial growth factor receptor-1 function in nitric oxide-mediated angiogenesis

Vascular endothelial growth factor-A (VEGF) is critical for angiogenesis but fails to induce neovascularization in ischemic tissue lesions in mice lacking endothelial nitric oxide synthase (eNOS). VEGF receptor-2 (VEGFR-2) is critical for angiogenesis, although little is known about the precise role of endothelial VEGFR-1 and its downstream effectors in this process. Here we have used a chimeric receptor approach in which the extracellular domain of the epidermal growth factor receptor was substituted for that of VEGFR-1 (EGLT) or VEGFR-2 (EGDR) and transduced into primary cultures of human umbilical vein endothelial cells (HUVECs) using a retroviral system. Activation of HUVECs expressing EGLT or EGDR induced rapid phosphorylation of eNOS at Ser1177, release of NO, and formation of capillary networks, similar to VEGF. Activation of eNOS by VEGFR-1 was dependent on Tyr794 and was mediated via phosphatidylinositol 3-kinase, whereas VEGFR-2 Tyr951 was involved in eNOS activation via phospholipase Cgamma1. Consistent with these findings, the VEGFR-1-specific ligand placenta growth factor-1 activated phosphatidylinositol 3-kinase and VEGF-E, which is selective for VEGFR-2-activated phospholipase Cgamma1. Both VEGFR-1 and VEGFR-2 signal pathways converged on Akt, as dominant-negative Akt inhibited the NO release and in vitro tube formation induced following activation of EGLT and EGDR. The identification Tyr794 of VEGFR-1 as a key residue in this process provides direct evidence of endothelial VEGFR-1 in NO-driven in vitro angiogenesis. These studies provide new sites of modulation in VEGF-mediated vascular morphogenesis and highlight new therapeutic targets for management of vascular diseases.

Cell autonomous lipin 1 function is essential for development and maintenance of white and brown adipose tissue.

Through analysis of mice with spatially and temporally restricted inactivation of Lpin1, we characterized its cell autonomous function in both white (WAT) and brown (BAT) adipocyte development and maintenance. We observed that the lipin 1 inactivation in adipocytes of aP2(Cre/+)/Lp(fEx2)(-)(3/fEx2)(-)(3) mice resulted in lipodystrophy and the presence of adipocytes with multilocular lipid droplets. We further showed that time-specific loss of lipin 1 in mature adipocytes in aP2(Cre-ERT2/+)/Lp(fEx2)(-)(3/fEx2)(-)(3) mice led to their replacement by newly formed Lpin1-positive adipocytes, thus establishing a role for lipin 1 in mature adipocyte maintenance. Importantly, we observed that the presence of newly formed Lpin1-positive adipocytes in aP2(Cre-ERT2/+)/Lp(fEx2)(-)(3/fEx2)(-)(3) mice protected these animals against WAT inflammation and hepatic steatosis induced by a high-fat diet. Loss of lipin 1 also affected BAT development and function, as revealed by histological changes, defects in the expression of peroxisome proliferator-activated receptor alpha (PPARα), PGC-1α, and UCP1, and functionally by altered cold sensitivity. Finally, our data indicate that phosphatidic acid, which accumulates in WAT of animals lacking lipin 1 function, specifically inhibits differentiation of preadipocytes. Together, these observations firmly demonstrate a cell autonomous role of lipin 1 in WAT and BAT biology and indicate its potential as a therapeutical target for the treatment of obesity.

Introduction à l'étude du droit comparé : recueil d'études en l'honneur d'Edouard Lambert. Vol. 1 / [préface de Pierre Garraud]

[Mélanges. Lambert, Edouard]

The development of a computerized version of a revised W-1 word list for obtaining speech reception thresholds

This paper discusses the creation of a condensed list SRT application of the W-1 for the Macintosh computer.

Error function approximations of interest in electrochemistry.

The error function is present in several equations describing eletrode processes. But, only approximations of this function are used. In this work, these and other approximations are studied and evaluated according to precision.

Singularities around w=-1

Astronomical observations of luminosity distances derived from Type Ia supernovae, CMB spectrum and global matter distribution provide evidence of cosmic speed up of the Universe. Alternatively, cosmic acceleration might be due to an exotic fluid filling the Universe, known as dark energy. These have given rise to a collection of new cosmological evolutions, future singularites being the most perplexing ones (“big rip”, “sudden singularities”. . .).

Singularities around w=-1

In this talk we would like to analyse the appearance of singularities in FLRW cosmological models which evolve close to w = -1, where w is the barotropic index of the universe. We relate small terms in cosmological time around w = -1 with the correspondent scale factor of the universe and check for the formation of singularities.