Metodi euristici per il problema dei trasporti con costi fissi

In questa tesi viene considerato il problema dei trasporti con costi fissi (FCTP) che, assieme al Traveling Salesman Problem (TSP), è uno dei problemi nobili dell’ottimizzazione combinatoria. Esso generalizza il ben noto problema dei trasporti (TP) imponendo che il costo per spedire prodotti da un’origine ad una destinazione sia composto da un costo fisso ed un costo proporzionale alla quantità spedita. Il FCTP è stato formulato per la prima volta in un articolo di Hirsch e Dantzig (1968) ed è stato da allora oggetto di studio per la ricerca di nuovi e sempre migliori algoritmi di risoluzione. Nessuno dei metodi esatti fin ora pubblicati è in grado di risolvere istanze con più di 15 origini e 15 destinazioni. Solo recentemente, Roberti et al. (2013), in un paper in corso di pubblicazione, hanno presentato un metodo esatto basato su una nuova formulazione matematica del problema, il quale è in grado di risolvere istanze di FCTP con 70 origini e 70 destinazioni. La crescita esponenziale dello sforzo computazionale richiesto dai metodi esatti ne ha confinato l’applicazione a problemi di dimensioni ridotte. Tali limitazioni hanno portato allo studio e alla ricerca di approcci approssimativi, euristici e metaeuristici i quali sfruttano varie strategie di local search. Fra i molteplici metodi euristici presentati in letteratura, meritano particolare attenzione quelli di Sun et al. (1998) e Glover et al. (2005). Recentemente, Buson et al. (2013) hanno presentato un nuovo euristico che domina tutti i precedenti sui problemi test proposti in letteratura. In questa tesi viene presentato un approccio Tabu Search che migliora il metodo originalmente proposto da Sun et al. (1998). I risultati computazionali ottenuti con un codice prototipale indicano che l’algoritmo sviluppato è migliore del metodo originario di Sun et al. (1998) e competitivo con il più recente metodo proposto da Buson et al. (2013).

Heusler compounds as thermoelectric materials

Heusler compounds as thermoelectric materialsrnrnThis work reports on Heusler and Half Heusler compounds and their thermoelectric properties. Several compounds were synthesized and their resistivity, Seebeck coefficient, thermal conductivity, and the figure of merit were determined. The results are presented in the following chapters.rnrnIn chapter 3 Co was substituted with Ni and Fe in the series TiCo1-x(Fe0.5Ni0.5)xSb. The substitution lead to a reduced loss of Sb during the synthesis. Further the Seebeck coefficient was increased and the thermal conductivity was reduced. These observations can be used to significantly improve the quality of TiCoSb based compounds in thermoelectric applications. rnrnIn chapter 4 the series TiCo1-xNixSnxSb1-x was investigated. Ni was substituted with Co and Sn with Sb. Especially for high Ni concentrations the figure of merit was enhanced compared to unsubstituted TiCoSb. This enhancement is based on the strong reduction of the thermal conductivity. The found values are among the lowest that have been determined up to date for Heusler compounds. rnrnIn chapter 5 Li containing Heusler compounds were theoretically and experimentally investigated. Li containing Heusler compounds are of special interest because the Li atoms scatter phonons efficiently. Therefore the thermal conductivity is decreased. The thermoelectric properties and especially the thermal conductivity are investigated in this chapter.rnrnIn chapter 6 several substitutions of TiCoSb were investigated. In the series TiCo1+xSb additional Co was introduced into the vacancies of the compound and the effect on the thermoelectric properties was measured. In the series TiCo1-xCuxSb Co was substituted with Cu. No significant enhancement of the ZT value were observed. In the series TiCoSb1-xBix Sb was substituted by Bi. The thermoelectric properties were significantly enhanced for small Bi concentrations. The Seebeck coefficient was increased and the resistivity was reduced at the same time. This unusual phenomenon is explained by band structure calculations.rnrnIn chapter 7 the material class of half metallic ferromagnets was investigated as a new materialclass for thermoelectric applications. The 26 valence electron compounds Co2TiSi, Co2TiGe, and Co2TiSn were used as model systems. The transport properties were determined theoretically. Then the properties were measured and compared to the calculated ones. The calculated values are in good agreement with the experimentally determined ones. The observed Seebeck coefficient has a big value and is nearly constant above the Curie temperature. This makes the materials appealing for the use as materials in thermocouples.rn

Campi finiti e segnale GPS

Lo scopo della tesi è quello di studiare una delle applicazioni della teoria dei campi finiti: il segnale GPS. A questo scopo si descrivono i registri a scorrimento a retroazione lineare (linear feedback shift register, LFSR), dispositivi utili in applicazioni che richiedono la generazione molto rapida di numeri pseudo-casuali. I ricevitori GPS sfruttano il determinismo di questi dispositivi per identificare il satellite da cui proviene il segnale e per sincronizzarsi con esso. Si inizia con una breve introduzione al funzionamento del GPS, poi si studiano i campi finiti: sottocampi, estensioni di campo, gruppo moltiplicativo e costruzione attraverso la riduzione modulo un polinomio irriducibile, fattorizzazione di polinomi, formula per il numero e metodi per la determinazione di polinomi irriducibili, radici di polinomi irriducibili, coniugati, teoria di Galois (automorfismo ed orbite di Frobenius, gruppo e corrispondenza di Galois), traccia, polinomio caratteristico, formula per il numero e metodi per la determinazione di polinomi primitivi. Successivamente si introducono e si esaminano sequenze ricorrenti lineari, loro periodicità, la sequenza risposta impulsiva, il polinomio caratteristico associato ad una sequenza e la sequenza di periodo massimo. Infine, si studiano i registri a scorrimento che generano uno dei segnali GPS. In particolare si esamina la correlazione tra due sequenze. Si mostra che ogni polinomio di grado n-1 a coefficienti nel campo di Galois di ordine 2 può essere rappresentato univocamente in n bit; la somma tra polinomi può essere eseguita come XOR bit-a-bit; la moltiplicazione per piccoli coefficienti richiede al massimo uno shift ed uno XOR. Si conclude con la dimostrazione di un importante risultato: è possibile inizializzare un registro in modo tale da fargli generare una sequenza di periodo massimo poco correlata con ogni traslazione di se stessa.

Dynamics of small interfering RNA - FRET based integrity measurements of siRNA in the cuvette & inside cells

RNAi ist ein bedeutendes Werkzeug zur Funktionsanalyse von Genen und hat großes Potential für den Einsatz in der Therapie. Obwohl effiziente Knockdowns in der Zellkultur erzielt werden, erweist sich eine in vivo Anwendung als schwierig. Die großen Hürden sind dabei der Transport der siRNA ins Zielgewebe und deren voranschreitende Degradierung.rnMarkierte siRNA kann sowohl zur eigenen Integritätsmessung als auch zur Lokalisierung verwendet werden. Zwei Farbstoffe an den jeweiligen 3’- bzw. -5’-Enden des Sense- bzw. Antisense-Stranges erzeugen ein robustes FRET-System (Hirsch et al. 2012). Das Verhältnis von FRET- zu Donor-Signal, das R/G-Ratio, dient zur sensitiven Klassifizierung des Integritätslevels einer siRNA Probe (Järve et al. 2007; Hirsch et al. 2011; Kim et al. 2010). Mit diesem System kann eine Degradierung von weniger als 5 % in der Küvette und in Zellen nachgewiesen werden.rnDie vorliegende Arbeit beschäftigt sich mit der Evaluierung von potentiellen FRET Farbstoffpaaren hinsichtlich deren Eignung für in vitro und in vivo Anwendung. Verschiedenste FRET-Paare, die das gesamte sichtbare Spektrum abdecken, wurden evaluiert und ermöglichen nun die Auswahl eines geeigneten Paares für die jeweilige Anwendung oder Kombination mit anderen Farbstoffen.rnMit Hilfe von Alexa555/Atto647N siRNA wurde ein erfolgreicher Einschluss von siRNA in Liposomen beobachtet. Eine anschließende Evaluierung der RNase-Protektion ergab für Liposomen, Nanohydrogele und kationische Peptide hervorragende protektive Eigenschaften. Basierend auf den Ergebnisse können diese und andere Transportsysteme nun für eine zelluläre Aufnahme optimiert werden.rnAtto488/Atto590 zeigte die besten Eigenschaften für Echtzeit-Integritätsmessungen in der Lebendzellmikroskopie. Verringerte Bleicheigenschaften und minimaler spektraler “Cross-Talk” ermöglichten es, transfizierte Zellen über einen Zeitraum von bis zu 8 Stunden zu beobachten. Mittels Atto488/Atto590 siRNA wurde die Einschleusung und Freisetzung in Zellen in Echtzeit untersucht. Dabei konnten Freisetzung und Verteilung in einzelnen Zellen beobachtet und analysiert werden. rnAuf eine anfängliche Phase mit hoher Freisetzungsrate folgte eine Phase mit geringerer Rate für den restlichen Beobachtungszeitraum. Die durchschnittliche Verweildauer im Zytosol betrug 24 und 58 Minuten, wobei zwischen lang- und kurzanhaltenden Ereignissen unterschieden werden konnte. Obwohl ein Import von siRNA in den Zellkern beobachtet wurde, konnte kein Schema bzw. genauer Zeitpunkt, in Bezug auf den Transfektionszeitraum für diese Ereignisse bestimmt werden. Die beobachteten Freisetzungsprozesse fanden sporadisch statt und Änderungen in der zellulären Verteilung geschahen innerhalb von wenigen Minuten. Einmal freigesetzte siRNA verschwand mit der Zeit wieder aus dem Zytosol und es blieben nur kleine Aggregate von siRNA mit immer noch geringer Integrität zurück.rn

Der antijüdische Dialog Kata Iudaion des Nikolaos-Nektarios von Otranto : Editio princeps, Einführung und Kommentar

Im Zentrum der Arbeit steht die Edition einer griechischen, antijüdischen Disputation, die nach dem hier dargelegten Ansatz um das Jahr 1230 entstanden ist. Der Text wurde bislang immer dem by¬zan¬tinischen Kulturkreis zugeordnet, obwohl sein Entstehungsgebiet, d.h. das süditalienische Salento, zu diesem Zeitpunkt bereits seit etwa 170 Jahren nicht mehr zu Byzanz gehörte, sondern Teil des normannischen bzw. normannisch-staufischen Herrschaftsgebietes war. Allerdings war damals das Griechische, insbesondere im südlichen Teil des Salento, noch die Sprache der Bevölkerungsmehrheit, aus der bis zur ersten Hälfte des 13. Jahrhunderts ein blühendes, griechischsprachiges Mönchtum hervorgegangen war. Diesem gehörte der Autor des hier vorgelegten Textes an, der von 1219 und womöglich bis zu seinem Tod im Jahr 1235 Abt des Nikolaos-Klosters von Casole (bei Otranto) war. In diesem Kloster »arbeiteten« zwar Mönche sowohl aus dem lateinischen, als auch dem griechischen Hintergrund, doch wurde dort seit Gründung immer ein »Grieche« (der selbstverständlich auch die lateinische Sprache beherrschte!) zum Abt gewählt. Aufgrund der damals hervorragenden finanziellen Ausstattung des Klosters besaß man dort eine sehr große Bibliothek, auf deren Grundlage Nikolaos-Nektarios seinen Text sehr wohl erstellen konnte. Der eigentlichen kritischen Edition mit Text- und Quellenapparat geht (1) eine Einleitung voran, die u.a. den Stand der Forschung wiedergibt und in einem aus sachlichen Gründen erforderlich gewordenen Nachtrag auf einige lit. Neuerscheinungen hinweist. In Teil (2) folgen eingehende Hinweise zum Leben unseres Autors sowie zu seinem umfangreichen literarischen Werk. Beides steht auf der Grundlage der noch immer maßgeblichen Abhandlung von J. Hoeck/R. Loenertz, Nikolaos-Nektarios von Otranto, Abt von Casole. Ettal 1965. Gegenüber Hoeck und Loenertz werden einige Aspekte zu Leben und Werk des Autors nachgearbeitet bzw. genauer dargelegt, die neuere wiss. Literatur wurde dazu entsprechend ausgewertet. Teil (3) befasst sich mit dem Text als solchem und handelt von der handschriftlichen Überlieferung, dem Aufbau der gesamten Disputation (sieben einzelne Dialexeis an vier Verhandlungstagen) sowie von ihrer Datierung. Dabei wird davon ausgegangen, dass Kata Iu¬daion a priori als ein literarischer Text konzipiert wurde, auch wenn es sehr wohl einzelne theologische Kontroversen zwischen unserem Autor und jüdischen Rabbinern in Otranto (oder anderswo) gegeben haben könnte. In Teil (4) soll die Schrift daher in den Kontext des jüdischen Lebens im Salento des 13. Jahrhunderts eingeordnet werden, während in Teil (5) mögliche Bezüge zu vergleichbaren Texten aus dem Bereich der byzantinischen Literatur untersucht werden. Auf dieser Grundlage befasst sich Teil (6) mit Quellenzitaten, auf die Nikolaos-Nektarios zurückgriff, und sucht mögliche Textvorlagen, die er für Kata Iudaion benutzt haben könnte. Teil (7) mit Bemerkungen zur Textkonstitution schließt diese einführenden Hinweise ab. In sachlicher Hinsicht ergibt sich aus dem Gesagten, dass der gesamte Text einen eindeutig apokalyptischen Hintergrund besitzt. Dies ist auch aus zeithistorischer Perspektive plausibel, denn sehr große Teile des süditalienischen Mönchtums standen damals unter dem Eindruck des Joachim von Fiore, nach dessen Weltsicht im Jahr 1260 das sog. »Zeitalter Christi« ein Ende finden sollte, bevor danach das alle Menschen (und Christen!) vereinende, sog. »Zeitalter des [Heiligen] Geistes« einsetzen würde. Eine der Prämissen dafür, dass letzteres überhaupt eintreten könne, sei eine erfolgreiche Judenmission. Von daher verfassten Joachim von Fiore und seine Anhänger seit der Wende vom 12. zum 13. Jahrhundert verstärkt Schriften zum Zweck der Bekehrung von Juden. Einer dieser Texte des Joachim wurde nun von Nikolaos-Nektarios ausgewertet und auszugsweise auch aus dem lateinischen übersetzt, um als Grundgerüst für den ersten Verhandlungstag zu dienen, der etwa zwei Drittel des gesamten Textbestands von Kata Iudaion ausmacht. Selbstverständlich finden sich auch Bezüge zur byzantinischen antijüdischen Literatur. Doch handelt es sich dabei zumeist nicht um Zitate, sondern um motivische Anklänge, wie sie auch im Bereich der lateinischen Literatur des Mittelalters begegnen (Gerhoch v. Reichersberg, Pedro Alphonsi u.a.m.) können. Neu gegenüber dem bisherigen Stand der Forschung ist jedoch für unseren Text der Hinweis auf seinen eindeutig apokalyptischen Bezug. Dabei ist Kata Iudaion wohl weniger dem übergeordneten Kontext der byzantinischen Literatur zuzuordnen, sondern darf als einer der wenigen erhalten, griechischen Texte des lateinischen Mittelalters angesehen werden.

White matter integrity associated with volitional motor activity

Variations of white matter integrity have been associated with interindividual differences in brain function. Still, little is known about the impact of white matter integrity on quantitative motor behaviour. Diffusion tensor imaging and continuous wrist actigraphy were measured on the same day in 12 individuals. Fractional anisotropy as measure of white matter integrity was correlated with the motor activity level. Positive correlations of fractional anisotropy and activity level were detected in the cingulum and the right superior longitudinal fasciculus underneath the precentral gyrus. Negative correlations were found in the left corticobulbar tract, in the right posterior corpus callosum and in the left superior longitudinal fasciculus. Volitional motor activity was associated with white matter integrity in motor relevant fiber tracts.

Hepatic gene expression profile in mice perorally infected with Echinococcus multilocularis eggs

Alveolar echinococcosis (AE) is a severe chronic hepatic parasitic disease currently emerging in central and eastern Europe. Untreated AE presents a high mortality (>90%) due to a severe hepatic destruction as a result of parasitic metacestode proliferation which behaves like a malignant tumor. Despite this severe course and outcome of disease, the genetic program that regulates the host response leading to organ damage as a consequence of hepatic alveolar echinococcosis is largely unknown.

The Next 10 years in the Management of Peripheral Artery Disease: Perspectives from The 'PAD 2009' Conference

OBJECTIVES: To briefly inform on the conclusions from a conference on the next 10 years in the management of peripheral artery disease (PAD). DESIGN OF THE CONFERENCE: International participation, invited presentations and open discussion were based on the following issues: Why is PAD under-recognised? Health economic impact of PAD; funding of PAD research; changes of treatment options? Aspects on clinical trials and regulatory views; and the role of guidelines. RESULTS AND CONCLUSIONS: A relative lack of knowledge about cardiovascular risk and optimal management of PAD patients exists not only among the public, but also in parts of the health-care system. Specialists are required to act for improved information. More specific PAD research is needed for risk management and to apply the best possible evaluation of evidence for treatment strategies. Better strategies for funding are required based on, for example, public/private initiatives. The proportion of endovascular treatments is steadily increasing, more frequently based on observational studies than on randomised controlled trials. The role of guidelines is therefore important to guide the profession in the assessment of most relevant treatment.

Differences in management and outcomes between male and female patients with atherothrombotic disease: results from the REACH Registry in Europe

Although guidelines recommend similar evaluation and treatment for both sexes, differences in approach and outcomes have been reported.

Use of a latest-generation vascular plug for peripheral vascular embolization with use of a diagnostic catheter: preliminary clinical experience

The latest-generation Amplatzer vascular plug (AVP), the AVP 4, is designed for embolization of smaller vessels without a sheath or guiding catheter. This study evaluated the AVP 4 in peripheral vascular embolization.

Mechanism of action of tin-containing fluoride solutions as anti-erosive agents in dentine - an in vitro tin-uptake, tissue loss, and scanning electron microscopy study

Solutions containing tin and fluoride exhibit remarkable anti-erosive properties with tin ions as a major agent. To elucidate its mechanism of action in dentine, the tin uptake on and in the tissue was investigated and related to histological findings and substance loss. Samples were treated twice daily, each treatment lasting for 2 min, with fluoride solutions [pH 4.5; 1,500 parts per million (p.p.m.) F] containing 2,100, 1,400, or 400 p.p.m. Sn as SnCl(2). In experiments 1 and 2, samples were eroded with citric acid (pH 2.3) six times each day, each treatment lasting for 5 min; in experiment 2, the demineralized organic matrix was continuously digested by collagenase; in experiment 3, no erosive challenges were performed. Sample surfaces and cross-sections were investigated using energy dispersive X-ray spectroscopy, scanning electron microscopy, and profilometry. Surface retention of tin was found in almost all treatment groups and was highest in experiment 2. On cross-sections, tin was retained within the organic matrix; in mineralized areas, tin was found mainly within a depth of 10 mum. Test solutions inhibited substance loss significantly; in experiment 2, the effect was dose-dependent. Erosion inhibition seemed to depend mainly on the incorporation of tin in the mineralized dentine when the organic portion was preserved, but on surface precipitation when the organic portion was continuously digested.

Influence of polyvascular disease on cardiovascular event rates. Insights from the REACH Registry

Cardiovascular event rates have been shown to increase substantially with the number of symptomatic disease locations. We sought to assess the risk profile, management and subsequent event rates of polyvascular disease patients. Consecutive outpatients were assessed for atherosclerotic risk factors and medications in the REACH Registry. A total of 19,117 symptomatic patients in Europe completed a 2-year follow-up: 77.2% with single arterial bed disease (coronary artery or cerebrovascular or peripheral arterial disease) and 22.8% with polyvascular disease (>/= 1 disease location). Polyvascular disease patients were older (68.5 +/- 9.4 vs 66.3 +/- 9.9 years, p < 0.0001), more often current or former smokers (64.9% vs 58.7%, p < 0.0001), and more often suffered from hypertension (59.5% vs 46.6%, p < 0.0001) and diabetes (34.5% vs 25.9%, p < 0.0001) than single arterial bed disease patients. Despite more intense medical therapy, risk factors (smoking, hypertension, low fasting glucose, and low fasting total cholesterol) were less often controlled in polyvascular disease patients. This was associated with substantially more events over 2 years compared with single arterial bed disease patients (cMACCE [cardiovascular death/non-fatal stroke/non-fatal MI] odds ratio, 1.63 [95% CI, 1.45-1.83], p < 0.0001). In conclusion, polyvascular disease patients have more cardiovascular risk factors, and the prognosis for these patients is significantly worse than for patients with single arterial bed disease. This suggests a need to improve detection and consequent medical treatment of polyvascular disease.

Vascular hospitalization rates and costs in patients with peripheral artery disease in the United States

BACKGROUND: Peripheral artery disease (PAD) is common and imposes a high risk of major systemic and limb ischemic events. The REduction of Atherothrombosis for Continued Health (REACH) Registry is an international prospective registry of patients at risk of atherothrombosis caused by established arterial disease or the presence of 3 atherothrombotic risk factors. METHODS AND RESULTS: We compared the 2-year rates of vascular-related hospitalizations and associated costs in US patients with established PAD across patient subgroups. Symptomatic PAD at enrollment was identified on the basis of current intermittent claudication with an ankle-brachial index (ABI) <0.90 or a history of lower-limb revascularization or amputation. Asymptomatic PAD was diagnosed on the basis of an enrollment ABI <0.90 in the absence of symptoms. Overall, 25 763 of the total 68 236-patient REACH cohort were enrolled from US sites; 2396 (9.3%) had symptomatic and 213 (0.8%) had asymptomatic PAD at baseline. One- and cumulative 2-year follow-up data were available for 2137 (82%) and 1677 (64%) of US REACH patients with either symptomatic or asymptomatic PAD, respectively. At 2 years, mean cumulative hospitalization costs, per patient, were $7445, $7000, $10 430, and $11 693 for patients with asymptomatic PAD, a history of claudication, lower-limb amputation, and revascularization, respectively (P=0.007). A history of peripheral intervention (lower-limb revascularization or amputation) was associated with higher rates of subsequent procedures at both 1 and 2 years. CONCLUSIONS: The economic burden of PAD is high. Recurring hospitalizations and repeat revascularization procedures suggest that neither patients, physicians, nor healthcare systems should assume that a first admission for a lower-extremity PAD procedure serves as a permanent resolution of this costly and debilitating condition.

Lethal toxin of Clostridium sordellii is associated with fatal equine atypical myopathy

The lethal toxin of Clostridium sordellii (TcsL) evokes severe, mostly fatal disease patterns like toxic shock syndrome in humans and animals. Since this large clostridial toxin-induced severe muscle damaging when injected intramuscularly into mice, we hypothesized that TcsL is also associated with equine atypical myopathy (EAM), a fatal myodystrophy of hitherto unknown etiology. Transmission electron microscopy revealed skeletal and heart muscles of EAM-affected horses to undergo degeneration ultrastructurally similar to the damage found in TcsL-treated mice. Performing immunohistochemistry, myofibers of EAM-affected horses specifically reacted with sera derived from horses with EAM as well as an antibody specific for the N-terminal part of TcsL, while both antibodies failed to bind to the myofibers of either healthy horses or those with other myopathies. The presence of TcsL in myofibers of horses with EAM suggests that it plays a role as trigger or even as lethal factor in this disease.

Gemtuzumab ozogamicin as postremission treatment in AML at 60 years of age or more: results of a multicenter phase 3 study

In older patients with acute myeloid leukemia (AML), the prevention of relapse has remained one of the major therapeutic challenges, with more than 75% relapses after complete remission. The anti-CD33 immunotoxin conjugate gemtuzumab ozogamicin (GO) has shown antileukemic remission induction activity in patients with relapsed AML. Patients with AML or refractory anemia with excess blasts in first complete remission attained after intensive induction chemotherapy were randomized between 3 cycles of GO (6 mg/m(2) every 4 weeks) or no postremission therapy (control) to assess whether GO would improve outcome. The 2 treatment groups (113 patients receiving GO vs 119 control patients) were comparable with regard to age (60-78 years, median 67 years), performance status, and cytogenetics. A total of 110 of 113 received at least 1 cycle of GO, and 65 of 113 patients completed the 3 cycles. Premature discontinuation was mainly attributable to incomplete hematologic recovery or intercurrent relapse. Median time to recovery of platelets 50 x 10(9)/L and neutrophils 0.5 x 10(9)/L after GO was 14 days and 20 days. Nonhematologic toxicities were mild overall, but there was 1 toxic death caused by liver failure. There were no significant differences between both treatment groups with regard to relapse probabilities, nonrelapse mortality, overall survival, or disease-free survival (17% vs 16% at 5 years). Postremission treatment with GO in older AML patients does not provide benefits regarding any clinical end points. The HOVON-43 study is registered at The Netherlands Trial Registry (number NTR212) and at http://www.controlled-trials.com as ISRCTN77039377.