Teorema del viriale e applicazioni astrofisiche

Il teorema del viriale consiste in una relazione tra energia cinetica e energia potenziale totali di un sistema all'equilibrio. Il concetto di Viriale (dal latino vires, plurale di vis, 'forza') è stato introdotto dal fisico e matematico tedesco Rudolf Julius Emanuel Clausius (1822-1888) per indicare la quantità N
Fi •xi i=1 che rappresenta la somma, fatta su tutte le N particelle di un sistema, dei prodotti scalari del vettore forza totale agente su ciascuna particella per il vettore posizione della particella stessa, rispetto ad un riferimento inerziale scelto. Tale quantità altro non è che un'energia potenziale. Dire che un sistema di particelle è virializzato equivale a dire che esso è stazionario, cioè all'equilibrio. In questo elaborato sono di nostro interesse sistemi astrofisici gravitazionali, in cui cioè l'energia potenziale sia dovuta solo a campi gravitazionali. Distingueremo innanzitutto sistemi collisionali e non collisionali, introducendo i tempi scala di attraversamento e di rilassamento. Dopo una trattazione teorica del teorema, nell'approssimazione di continuità - per cui sostuiremo alle sommatorie gli integrali - e di non collisionalità, an- dremo a studiarne l'importanza in alcuni sistemi astrofisici: applicazione agli ammassi stellari, alle galassie e agli ammassi di galassie, stima della quantità di materia oscura nei sistemi, instabilità di Jeans in nubi molecolari, rotazione delle galassie ellittiche. Per ragioni di spazio non saranno affrontati altri casi, di cui ne citiamo alcuni: collasso delle stelle, stima della massa dei buchi neri al centro delle galassie, 'mass-to-light ratio' di sistemi sferici. Parleremo in generale di “particelle” costituenti i sistemi per intendere stelle, galassie, particelle di gas a seconda del sistema in esame. Trascureremo in ogni caso le influenze gravitazionali di distribuzioni di densità esterne al sistema.

Organ transplantation in Switzerland: impact of the new transplant law on cold ischaemia time and organ transports

On 1 July 2007 a new transplant law came into force in Switzerland. The principal item of this new law is the change from centre-oriented allocation to patient-oriented national allocation of organs. The aim of the present study is to assess the impact on cold ischaemia time (CIT) and transport requirements.

Giulio Cesare Aranzio (Arantius) (1530-89) in the pageant of anatomy and surgery

Giulio Cesare Aranzio in Italian (Julius Caesar Arantius in Latin) has not received full acclaim for his achievements in the field of anatomy and surgery that remain unknown to most physicians. His anatomical books Observationes Anatomicas, and De Humano Foetu Opusculum and surgical books De Tumoribus Secundum Locos Affectos and Hippocratis librum de vulneribus capitis commentarius brevis printed in Latin and additional existing literature on Aranzio from medical history books and journals were analysed extensively. Aranzio became Professor of Anatomy and Surgery at the University of Bologna in 1556. He established anatomy as a distinguished branch of medicine for the first time in medical history. Aranzio combined anatomy with a description of pathological processes. He discovered the 'Nodules of Aranzio' in the semilunar valves of the heart. He gave the first description of the superior levator palpebral and the coracobrachialis muscles. Aranzio wrote on surgical techniques for a wide spectrum of conditions that range from hydrocephalus, nasal polyp, goitre and tumours to phimosis, ascites, haemorrhoids, anal abscess and fistulae, and much more. Aranzio had an extensive knowledge in surgery and anatomy based in part on the ancient Greek and his contemporaries in the 16th century but essentially on his personal experience and practice.

Nursing the fatherland? Hohenzollern statebuilding and the hidden transcript of political resistance in Hanoverian female charity during the Second German Empire

In summer 1866 the Austro-Prussian struggle for supremacy in Germany erupted into open conflict. King Georg V of Hanover sided with other governments loyal to the German Confederation against Prussia, but after initially defeating Prussian forces at Langensalza, he was forced to capitulate. Two days after the battle, on June 29, 1866, the widow of the Hanoverian general Sir Georg Julius von Hartmann told her daughter in no uncertain terms how she felt about the Prussian government and its allies. In her opinion they were nothing more than “robber states” that cloaked their disregard for the Ten Commandments in sanctimonious public displays of piety. “These Protestant Jesuits,” she continued, “offend me more than the Catholic ones. You know that I am German with all my heart and love my Germany, but I cannot consider them genuine Germans anymore because they only want to make Germany Prussian.”

Frequency and predictors of hyperkalemia in patients ≥60 years of age with heart failure undergoing intense medical therapy

Hyperkalemia is a concern in heart failure (HF), especially in older patients with co-morbidities. Previous studies addressing this issue have focused mainly on younger patients. This study was aimed at determining the frequency and predictors of hyperkalemia in older patients with HF undergoing intense medical therapy. Frequency and predictors of hyperkalemia were defined in patients (n = 566) participating in the Trial of Intensified versus Standard Medical Therapy in Elderly Patients with Congestive Heart Failure, in which patients ≥60 years of age were randomized to a standard versus an intensified N-terminal brain natriuretic peptide-guided HF therapy. During an 18-month follow-up 76 patients (13.4%) had hyperkalemia (≥5.5 mmol/L) and 28 (4.9%) had severe hyperkalemia (≥6.0 mmol/L). Higher baseline serum potassium (odds ratio [OR] 2.92 per mmol/L), baseline creatinine (OR 1.11 per 10 μmol/L), gout (OR 2.56), New York Heart Association (NYHA) class (compared to NYHA class II, IV OR 3.08), higher dosage of spironolactone at baseline (OR 1.20 per 12.5 mg/day), and higher dose changes of spironolactone (compared to no dose change: 12.5 mg, OR 1.45; 25 mg, OR 2.52; >25 mg, OR 3.24) were independent predictors for development of hyperkalemia (p <0.05 for all comparisons). In conclusion, hyperkalemia is common in patients ≥60 years of age with HF undergoing intense medical therapy. Risk is increased in patients treated with spironolactone, in addition to patient-specific risk factors such as chronic kidney disease, higher serum potassium, advanced NYHA class, and gout. Careful surveillance of serum potassium and cautious use of spironolactone in patients at risk may help to decrease the incidence of potentially hazardous complications caused by hyperkalemia.

Uninephrectomy reduces 11β-hydroxysteroid dehydrogenase type 1 and type 2 concomitantly with an increase in blood pressure in rats

Renal allograft donors are at risk of developing hypertension. Here, we hypothesized that this risk is at least in part explained by an enhanced intracellular availability of 11β-hydroxyglucocorticoids due to an increased 11β-hydroxysteroid dehydrogenase type 1 enzyme (11β-HSD1), an intracellular prereceptor activator of biologically inactive 11-ketocorticosteroids in the liver, and/or a diminished 11β-hydroxysteroid dehydrogenase type 2 (11β-HSD2), an inactivator of 11β-hydroxyglucocorticoids in the kidney. To test this hypothesis, uninephrectomized (UNX) (n=9) and sham-operated (n=10) adult Sprague-Dawley rats were investigated. Mean arterial blood pressure and heart rate were measured continuously by telemetry for 6 days in week 5 after UNX. The mRNA of 11β-Hsd1 and 11β-Hsd2 in liver and kidney tissues were assessed by RT-PCR and the 11β-HSD activities were directly quantified in their corresponding tissues by determining the ratios of (tetrahydrocorticosterone+5α-tetrahydrocorticosterone)/tetrahydrodehydrocorticosterone ((THB+5α-THB)/THA) and of corticosterone/dehydrocorticosterone (B/A) by gas chromatography-mass spectrometry. The apparent total body activities of 11β-HSD1 and 11β-HSD2 were estimated using the urinary and plasma ratios of (THB+5α-THB)/THA and B/A. Mean arterial blood pressure was increased after UNX when compared with sham operation. Hepatic mRNA content of 11β-Hsd1 and hepatic, plasma, and urinary ratios of (THB+5α-THB)/THA were decreased after UNX, indicating diminished access of glucocorticoids to its receptors. In renal tissue, 11β-Hsd2 mRNA was reduced and B/A ratios measured in kidney, plasma, and urine were increased, indicating reduced 11β-HSD2 activity and enhanced access of glucocorticoids to mineralocorticoid receptors. Both 11β-HSD1 and 11β-HSD2 are downregulated after UNX in rats, a constellation considered to induce hypertension.