The fourth transmembrane segment of the Na,K-ATPase alpha subunit: a systematic mutagenesis study.

The Na,K-ATPase is a major ion-motive ATPase of the P-type family responsible for many aspects of cellular homeostasis. To determine the structure of the pathway for cations across the transmembrane portion of the Na,K-ATPase, we mutated 24 residues of the fourth transmembrane segment into cysteine and studied their function and accessibility by exposure to the sulfhydryl reagent 2-aminoethyl-methanethiosulfonate. Accessibility was also examined after treatment with palytoxin, which transforms the Na,K-pump into a cation channel. Of the 24 tested cysteine mutants, seven had no or a much reduced transport function. In particular cysteine mutants of the highly conserved "PEG" motif had a strongly reduced activity. However, most of the non-functional mutants could still be transformed by palytoxin as well as all of the functional mutants. Accessibility, determined as a 2-aminoethyl-methanethiosulfonate-induced reduction of the transport activity or as inhibition of the membrane conductance after palytoxin treatment, was observed for the following positions: Phe(323), Ile(322), Gly(326), Ala(330), Pro(333), Glu(334), and Gly(335). In accordance with a structural model of the Na,K-ATPase obtained by homology modeling with the two published structures of sarcoplasmic and endoplasmic reticulum calcium ATPase (Protein Data Bank codes 1EUL and 1IWO), the results suggest the presence of a cation pathway along the side of the fourth transmembrane segment that faces the space between transmembrane segments 5 and 6. The phenylalanine residue in position 323 has a critical position at the outer mouth of the cation pathway. The residues thought to form the cation binding site II ((333)PEGL) are also part of the accessible wall of the cation pathway opened by palytoxin through the Na,K-pump.

Etiology of ethnic differences in childhood spirometry.

OBJECTIVES: Age- and height-adjusted spirometric lung function of South Asian children is lower than those of white children. It is unclear whether this is purely genetic, or partly explained by the environment. In this study, we assessed whether cultural factors, socioeconomic status, intrauterine growth, environmental exposures, or a family and personal history of wheeze contribute to explaining the ethnic differences in spirometric lung function. METHODS: We studied children aged 9 to 14 years from a population-based cohort, including 1088 white children and 275 UK-born South Asians. Log-transformed spirometric data were analyzed using multiple linear regressions, adjusting for anthropometric factors. Five different additional models adjusted for (1) cultural factors, (2) indicators of socioeconomic status, (3) perinatal data reflecting intrauterine growth, (4) environmental exposures, and (5) personal and family history of wheeze. RESULTS: Height- and gender-adjusted forced vital capacity (FVC) and forced expired volume in 1 second (FEV1) were lower in South Asian than white children (relative difference -11% and -9% respectively, P < .001), but PEF and FEF50 were similar (P ≥ .5). FEV1/FVC was higher in South Asians (1.8%, P < .001). These differences remained largely unchanged in all 5 alternative models. CONCLUSIONS: Our study confirmed important differences in lung volumes between South Asian and white children. These were not attenuated after adjustment for cultural and socioeconomic factors and intrauterine growth, neither were they explained by differences in environmental exposures nor a personal or family history of wheeze. This suggests that differences in lung function may be mainly genetic in origin. The implication is that ethnicity-specific predicted values remain important specifically for South Asian children.

TWEAK-FN14 signaling induces lysosomal degradation of a cIAP1-TRAF2 complex to sensitize tumor cells to TNFalpha.

Synthetic inhibitor of apoptosis (IAP) antagonists induce degradation of IAP proteins such as cellular IAP1 (cIAP1), activate nuclear factor kappaB (NF-kappaB) signaling, and sensitize cells to tumor necrosis factor alpha (TNFalpha). The physiological relevance of these discoveries to cIAP1 function remains undetermined. We show that upon ligand binding, the TNF superfamily receptor FN14 recruits a cIAP1-Tnf receptor-associated factor 2 (TRAF2) complex. Unlike IAP antagonists that cause rapid proteasomal degradation of cIAP1, signaling by FN14 promotes the lysosomal degradation of cIAP1-TRAF2 in a cIAP1-dependent manner. TNF-like weak inducer of apoptosis (TWEAK)/FN14 signaling nevertheless promotes the same noncanonical NF-kappaB signaling elicited by IAP antagonists and, in sensitive cells, the same autocrine TNFalpha-induced death occurs. TWEAK-induced loss of the cIAP1-TRAF2 complex sensitizes immortalized and minimally passaged tumor cells to TNFalpha-induced death, whereas primary cells remain resistant. Conversely, cIAP1-TRAF2 complex overexpression limits FN14 signaling and protects tumor cells from TWEAK-induced TNFalpha sensitization. Lysosomal degradation of cIAP1-TRAF2 by TWEAK/FN14 therefore critically alters the balance of life/death signals emanating from TNF-R1 in immortalized cells.

Multimodel inference and multimodel averaging in empirical modeling of occupational exposure levels.

Empirical modeling of exposure levels has been popular for identifying exposure determinants in occupational hygiene. Traditional data-driven methods used to choose a model on which to base inferences have typically not accounted for the uncertainty linked to the process of selecting the final model. Several new approaches propose making statistical inferences from a set of plausible models rather than from a single model regarded as 'best'. This paper introduces the multimodel averaging approach described in the monograph by Burnham and Anderson. In their approach, a set of plausible models are defined a priori by taking into account the sample size and previous knowledge of variables influent on exposure levels. The Akaike information criterion is then calculated to evaluate the relative support of the data for each model, expressed as Akaike weight, to be interpreted as the probability of the model being the best approximating model given the model set. The model weights can then be used to rank models, quantify the evidence favoring one over another, perform multimodel prediction, estimate the relative influence of the potential predictors and estimate multimodel-averaged effects of determinants. The whole approach is illustrated with the analysis of a data set of 1500 volatile organic compound exposure levels collected by the Institute for work and health (Lausanne, Switzerland) over 20 years, each concentration having been divided by the relevant Swiss occupational exposure limit and log-transformed before analysis. Multimodel inference represents a promising procedure for modeling exposure levels that incorporates the notion that several models can be supported by the data and permits to evaluate to a certain extent model selection uncertainty, which is seldom mentioned in current practice.

IDH1/IDH2 mutations predict survival in glioma and AML

Mutations in the isocitrate dehydrogenase family genes 1 or 2 (IDH1/2) have been discovered by high through put sequencing approaches inglioma and acute myeloid leukemia (AML) and related myeloproliferativeneoplasms. In both diseases, the discovery of IDH mutations has identifieda prognostically new subtype with distinct pathogenetic evolution. Ingliomas mutations are mostly found in IDH1 (>90%). They are infrequent inprimary glioblastoma (GBM) (<10%), but common in secondary GBM thatevolve from lower grade glioma (60−90%). Mutations in IDH1 precede p53mutations or 1p/19q co-deletions in sporadic low grade glioma, hence arean early evant. Co-deletions of 1p/19q, characteristic for oligodenroglioma,are highly associated with IDH1/2 mutations, while they are mutuallyexclusive with EGFR amplifications, a hall mark of primary GBM. IDH1 or 2mutations are associated with younger patient age, but absent in childhoodgliomas, and have a better prognosis that seems to be consistent in gradeII through IV gliomas. In myeloid malignancies mutations are more likelyin IDH2 and are found in de novo and secondary AML (12−18%) andpre-leukemic clonal malignancies (5% chronic; 20% transformed). IDH1/2mutations are strongly associated with NPM1 mutations that are found in30% of novo cytogenetically normal AML. In CN-AML with mutated NPM1,without FLT3 internal tandem duplication (ITD) IDH mutations constitutean adverse prognostic factor. Mutations in the metabolic enzymes IDH1 or2 result in a neomorphic reaction, generating high levels of the metabolite2-hydroxyglutarate (2-HG). IDH mutations are mutually exclusive with TET2mutations in myeloid malignancies that led to the discovery that high levelsof 2-HG inhibit the a-KG dependent dioxygenase TET2. TET2 is involved inepigenetic regulation and mediates demethylation of DNA. This mechanismis in accordance with the association of a methylator phenotype with loss offunction of TET2 by mutation or indirectly by mutation of IDH1/2 in myeloidmalignancies and gliomas, respectively.Metabolism meets Epigenetics. These discoveries will have importantclinical implications: IDH1/2 mutants may serve as unique targets fortherapy. Further, the high concentrations of the onco-metabolite 2-HGgenerated by IDH1/2 mutants, may serve as biomarker in the serum ofpatients with myeloid malignancies and may be amenable by magneticresonance spectroscopy in glioma patients.

Rapid, combinatorial analysis of membrane compartments in intact plants with a multicolor marker set.

Plant membrane compartments and trafficking pathways are highly complex, and are often distinct from those of animals and fungi. Progress has been made in defining trafficking in plants using transient expression systems. However, many processes require a precise understanding of plant membrane trafficking in a developmental context, and in diverse, specialized cell types. These include defense responses to pathogens, regulation of transporter accumulation in plant nutrition or polar auxin transport in development. In all of these cases a central role is played by the endosomal membrane system, which, however, is the most divergent and ill-defined aspect of plant cell compartmentation. We have designed a new vector series, and have generated a large number of stably transformed plants expressing membrane protein fusions to spectrally distinct, fluorescent tags. We selected lines with distinct subcellular localization patterns, and stable, non-toxic expression. We demonstrate the power of this multicolor 'Wave' marker set for rapid, combinatorial analysis of plant cell membrane compartments, both in live-imaging and immunoelectron microscopy. Among other findings, our systematic co-localization analysis revealed that a class of plant Rab1-homologs has a much more extended localization than was previously assumed, and also localizes to trans-Golgi/endosomal compartments. Constructs that can be transformed into any genetic background or species, as well as seeds from transgenic Arabidopsis plants, will be freely available, and will promote rapid progress in diverse areas of plant cell biology.

Value of allogeneic versus autologous stem cell transplantation and chemotherapy in patients with myelodysplastic syndromes and secondary acute myeloid leukemia. Final results of a prospective randomized European Intergroup Trial.

BACKGROUND: Allogeneic stem cell transplantation is usually considered the only curative treatment option for patients with advanced or transformed myelodysplastic syndromes in complete remission, but post-remission chemotherapy and autologous stem cell transplantation are potential alternatives, especially in patients over 45 years old. DESIGN AND METHODS: We evaluated, after intensive anti-leukemic remission-induction chemotherapy, the impact of the availability of an HLA-identical sibling donor on an intention-to treat basis. Additionally, all patients without a sibling donor in complete remission after the first consolidation course were randomized to either autologous peripheral blood stem cell transplantation or a second consolidation course consisting of high-dose cytarabine. RESULTS: The 4-year survival of the 341 evaluable patients was 28%. After achieving complete remission, the 4-year survival rates of patients under 55 years old with or without a donor were 54% and 41%, respectively, with an adjusted hazard ratio of 0.81 (95% confidence interval [95% CI], 0.49-1.35) for survival and of 0.67 (95% CI, 0.42-1.06) for disease-free survival. In patients with intermediate/high risk cytogenetic abnormalities the hazard ratio in multivariate analysis was 0.58 (99% CI, 0.22-1.50) (P=0.14) for survival and 0.46 (99% CI, 0.22-1.50) for disease-free survival (P=0.03). In contrast, in patients with low risk cytogenetic characteristics the hazard ratio for survival was 1.17 (99% CI, 0.40-3.42) and that for disease-free survival was 1.02 (99% CI, 0.40-2.56). The 4-year survival of the 65 patients randomized to autologous peripheral blood stem cell transplantation or a second consolidation course of high-dose cytarabine was 37% and 27%, respectively. The hazard ratio in multivariate analysis was 1.22 (95% CI, 0.65-2.27) for survival and 1.02 (95% CI, 0.56-1.85) for disease-free survival. CONCLUSIONS: Patients with a donor and candidates for allogeneic stem cell transplantation in first complete remission may have a better disease-free survival than those without a donor in case of myelodysplastic syndromes with intermediate/high-risk cytogenetics. Autologous peripheral blood stem cell transplantation does not provide longer survival than intensive chemotherapy.

Development and Consequences of Referendum Campaigns in Switzerland, 1981-1999

Since the early 1990s, new forms of referendum campaigns have emerged in the Swiss political arena. In this paper, we examine how referendum campaigns have transformed in Switzerland, focusing on a number of features: their intensity, duration and inclusiveness (i.e., the variety of actors involved). These features are assumed to change in the long run in response to societal changes and in the short run as a function of variations in elite support. We further argue that public knowledge of ballot issues depends on the characteristics of campaigns. To formally test our hypotheses, we draw on advertisement campaigns in six major Swiss newspapers in the four weeks preceding each ballot from 1981 to 1999 and develop a structural equation model. We indeed find that the duration of referendum campaigns has increased over time, while their inclusiveness has decreased. Most importantly, we find that pub­lic knowledge is strongly related to the characteristics of campaigns

Phase I and phase II xenobiotic reactions and metabolism of the food-borne carcinogen 2-amino-3,8-dimethylimidazo[4,5-f]quinoxaline in aggregating liver cell cultures.

Aggregating fetal liver cell cultures were tested for their ability to metabolize xenobiotics using ethoxycoumarin-O-deethylase (ECOD), as marker of phase I metabolism, and glutathione S-transferase (GST), as marker for phase II reactions. Significant basal activities, stable over 14 days in culture were measured for both ECOD and GST activities. The prototype cytochrome P450 inducers, 3-methylcholanthrene (3-MC) and phenobarbital (PB), increased ECOD and GST activities reaching an optimum 7 days after culturing, followed by a decline in activity. This decline was partially prevented by 1% dimethyl sulfoxide (DMSO) added chronically to the culture medium. DMSO was also found to induce ECOD activity and to a lesser extent GST activity. Furthermore, it potentiated in a dose-dependent manner the induction of ECOD by PB. The food-borne carcinogen 2-amino-3,8-dimethylimidazo[4,5-f]quinoxaline (MeIQx) is metabolically transformed through a number of pathways in vivo. It was therefore used to examine the metabolic capacity in fetal and adult liver cell aggregates. Metabolism of MeIQx was mainly through N2-conjugation, resulting in formation of the N2-glucuronide and sulfamate conjugates for non-induced fetal liver cells. These metabolites were also found in large amounts in non-induced adult liver cells. Low levels of cytochrome P450-mediated ring-hydroxylated metabolites were detected in both non-induced fetal and adult liver cells. After induction with arochlor (PCB) or 3-MC, the major pathway was ring-hydroxylation (cytochrome P450 dependent), followed by conjugation to beta-glucuronic or sulfuric acid. The presence of the glucuronide conjugate of N-hydroxy-MeIQx, a mutagenic metabolite, suggested an induction of P450 CYP1A2. The metabolism of MeIQx by liver cell aggregates is very similar to that observed in vivo and suggests that aggregating liver cell cultures are a useful model for in vitro metabolic studies in toxicology.

Oncogenic Ras inhibits Fas ligand-mediated apoptosis by downregulating the expression of Fas.

Tumor growth is the result of deregulated tissue homeostasis which is maintained through the delicate balance of cell growth and apoptosis. One of the most efficient inducers of apoptosis is the death receptor Fas. We report here that oncogenic Ras (H-Ras) downregulates Fas expression and renders cells of fibroblastic and epitheloid origin resistant to Fas ligand-induced apoptosis. In Ras-transformed cells, Fas mRNA is absent. Inhibition of DNA methylation restores Fas expression. H-Ras signals via the PI 3-kinase pathway to downregulate Fas, suggesting that the known anti-apoptotic effect of the downstream PKB/Akt kinase may be mediated, at least in part, by the repression of Fas expression. Thus, the oncogenic potential of H-ras may reside on its capacity not only to promote cellular proliferation, but also to simultaneously inhibit Fas-triggered apoptosis.

Deregulation of the arginine deiminase (arc) operon in penicillin-tolerant mutants of Streptococcus gordonii.

Penicillin tolerance is an incompletely understood phenomenon that allows bacteria to resist drug-induced killing. Tolerance was studied with independent Streptococcus gordonii mutants generated by cyclic exposure to 500 times the MIC of penicillin. Parent cultures lost 4 to 5 log(10) CFU/ml of viable counts/24 h. In contrast, each of four independent mutant cultures lost &lt; or =2 log(10) CFU/ml/24 h. The mutants had unchanged penicillin-binding proteins but contained increased amounts of two proteins with respective masses of ca. 50 and 45 kDa. One mutant (Tol1) was further characterized. The two proteins showing increased levels were homologous to the arginine deiminase and ornithine carbamoyl transferase of other gram-positive bacteria and were encoded by an operon that was &gt;80% similar to the arginine-deiminase (arc) operon of these organisms. Partial nucleotide sequencing and insertion inactivation of the S. gordonii arc locus indicated that tolerance was not a direct consequence of arc alteration. On the other hand, genetic transformation of tolerance by Tol1 DNA always conferred arc deregulation. In nontolerant recipients, arc was repressed during exponential growth and up-regulated during postexponential growth. In tolerant transformants, arc was constitutively expressed. Tol1 DNA transformed tolerance at the same rate as transformation of a point mutation (10(-2) to 10(-3)). The tolerance mutation mapped on a specific chromosomal fragment but was physically distant from arc. Importantly, arc deregulation was observed in most (6 of 10) of additional independent penicillin-tolerant mutants. Thus, although not exclusive, the association between arc deregulation and tolerance was not fortuitous. Since penicillin selection mimicked the antibiotic pressure operating in the clinical environment, arc deregulation might be an important correlate of naturally occurring tolerance and help in understanding the mechanism(s) underlying this clinically problematic phenotype.

Migraineurs without aura show microstructural abnormalities in the cerebellum and frontal lobe.

The involvement of the cerebellum in migraine pathophysiology is not well understood. We used a biparametric approach at high-field MRI (3 T) to assess the structural integrity of the cerebellum in 15 migraineurs with aura (MWA), 23 migraineurs without aura (MWoA), and 20 healthy controls (HC). High-resolution T1 relaxation maps were acquired together with magnetization transfer images in order to probe microstructural and myelin integrity. Clusterwise analysis was performed on T1 and magnetization transfer ratio (MTR) maps of the cerebellum of MWA, MWoA, and HC using an ANOVA and a non-parametric clusterwise permutation F test, with age and gender as covariates and correction for familywise error rate. In addition, mean MTR and T1 in frontal regions known to be highly connected to the cerebellum were computed. Clusterwise comparison among groups showed a cluster of lower MTR in the right Crus I of MWoA patients vs. HC and MWA subjects (p = 0.04). Univariate and bivariate analysis on T1 and MTR contrasts showed that MWoA patients had longer T1 and lower MTR in the right and left pars orbitalis compared to MWA (p < 0.01 and 0.05, respectively), but no differences were found with HC. Lower MTR and longer T1 point at a loss of macromolecules and/or micro-edema in Crus I and pars orbitalis in MWoA patients vs. HC and vs. MWA. The pathophysiological implications of these findings are discussed in light of recent literature.

Production of low phytic acid rice by hairpin RNA- and artificial microRNA-mediated silencing of OsMIK in seeds

To produce agronomically competitive rice with nutritionally superior, environmentally safe phytic acid (PA) levels, hairpin RNA (hpRNA)- and artificial microRNA (amiRNA)-mediated gene silencing approaches were explored to reduce both myo-inositol kinase gene (OsMIK) expression and PA accumulation in rice seeds. hpRNA and amiRNA sequences targeted to OsMIK (hpMIK and amiMIK), under the control of a rice Ole18 promoter, were transformed into the rice cultivar Nippon-bare. Fourteen and 21 independent transgenic events were identified containing the hpMIK and amiMIK constructs, respectively, from which five stable homozygous transgenic lines of each were developed together with their null siblings. Southern blotting demonstrated transgene integration into the genome and quantitative real-time PCR showed that gene silencing was restricted to seeds. OsMIK transcripts were significantly reduced in both transgenic amiMIK and hpMIK seeds, which had PA levels reduced by 14.9-50.2 and 38.1-50.7 %, respectively, compared with their respective null siblings. There were no systematic significant differences in agronomic traits between the transgenic lines and their non-transgenic siblings, and no correlation between seed PA contents and decreased rates of seed germination and seedling emergence. The results of the present study suggest that Ole 18-driven OsMIK silencing via hpRNA and amiRNA could be an effective way to develop agronomically competitive low phytic acid rice.

Maturation protéolytique et sécrétion de la rénine: importance fonctionnelle de la pro-région

RÉSUMÉ Le système rénine-angiotensine joue un rôle prépondérant dans la régulation de la pression sanguine et de la balance des sels ainsi que dans d'autres processus physiologiques et pathologiques. Lorsque la pression sanguine est trop basse, les cellules juxtaglomérulaires sécrètent la rénine, qui clivera l'angiotensinogène circulant (sécrété majoritairement par le foie) pour libérer l'angiotensine I, qui sera alors transformée en angiotensine II par l'enzyme de conversion de l'angiotensine. Ce système est régulé au niveau de la sécrétion de la rénine par le rein. La rénine est une enzyme de type protéase aspartique. Elle est produite sous la forme d'un précurseur inactif de haut poids moléculaire appelé prorénine, qui peut être transformé en rénine active. Si le rôle de la prorégion de la rénine n'est pas encore connu, plusieurs études ont montré qu'elle pourrait être un auto-inhibiteur. Des travaux menés sur d'autres enzymes protéolytique ont mis en évidence un rôle de chaperon de leurs prorégions. Dans la circulation, la prorénine est majoritaire (90%) et la rénine active ne représente que 10% de la rénine circulante. L'enzyme qui transforme, in vivo, la prorénine en rénine active n'est pas connue. De même, l'endroit précis du clivage n'est pas élucidé. Dans ce travail, nous avons généré plusieurs mutants de la prorénine et les avons exprimés dans deux types cellulaires : les CV1 (modèle constitutif) et AtT-20 (modèle régulé). Nous avons montré que la prorégion joue un rôle important aussi bien dans l'acquisition de l'activité enzymatique que dans la sécrétion de la rénine, mais fonctionne différemment d'un type cellulaire à l'autre. Nous avons montré pour la première fois que la prorégion interagit de façon intermoléculaire à l'intérieur de la cellule. Les expériences de complémentation montre que l'interaction favorable de la rénine avec la prorégion dépend de la taille de cette dernière : prorénine (383 acides aminés) > pro62 (62 acides aminés) > pro43 (43 acides aminés). Par ailleurs nos résultats montrent qu'une faible partie de la rénine est dirigée vers la voie de sécrétion régulée classique tandis que la majorité est dirigée vers les lysosomes. Ceci suggère qu'une internalisation de la rénine circulante via le récepteur mannose-6-phosphate est possible. Cette dernière concernerait essentiellement la prorénine (dont les taux circulants sont 10 fois plus élevés que la rénine active). La suite de ce travail porterait sur la confirmation de cette hypothèse et l'identification de son possible rôle physiologique. SUMMARY The renin-angiotensin system is critical for the control of blood pressure and salt balance and other physiological and pathological processes. When blood pressure is too low, renin is secreted by the juxtaglomerular cells. It will cleave the N-terminus of circulating angiotensinogen (mostly secreted by the liver) to angiotensin-1, which is then transformed in angiotensin-II by the angiotensin-converting-enzyme (ACE). This system is regulated at the level of renin release. Renin, an aspartyl protease, is produced from a larger precursor (called prorenin) which is matured into active renin. Although the role of the renin proregion remains unknown, it has been reported that it could act as an autoinhibitor. Works on other proteolytic enzymes showed that their prorégion can act as chaperones. prorenin is the major circulating form of renin, while active renin represents only 10%. The enzyme which transforms, in vivo, the prorenin into active renin is unknown and the exact cleavage site remains to be elucidated. In this study, we generated some prorenin mutants, which were expressed in CV1 cells (constitutive pathway model) or AtT-20 cells (regulated pathway model). We showed that the proregion plays a pivotal role in the enzymatic activity and secretion of renin in a different manner in the two cell types. For the first time, it has been demonstrated that the proregion acts in an intermolecular way into the cell. Complementation assays showed that interaction between renin and proregion depends on the size of the proregion: prorenin (383 amino acids) > pro62 (62 amino acids) > pro43 (43 amino acids). Furthermore, our results showed that only a small amount of the cellular renin pool is targeted to the "canonical" regulated pathway and that the remaining is targeted to the lysosomes. Those results suggest a possible internalizátion of the circulating renin through the mannose-6-phosphate receptor pathway. This would mostly concern the prorenin (whose levels are ten times higher than active renin). Further studies would confirm or infirm this hypothesis and elucidate a potential physiological role.

An algebraic operator approach to the analysis of Gerber-Shiu functions

We introduce an algebraic operator framework to study discounted penalty functions in renewal risk models. For inter-arrival and claim size distributions with rational Laplace transform, the usual integral equation is transformed into a boundary value problem, which is solved by symbolic techniques. The factorization of the differential operator can be lifted to the level of boundary value problems, amounting to iteratively solving first-order problems. This leads to an explicit expression for the Gerber-Shiu function in terms of the penalty function.