Hilbert functions, Hilbert-Samuel quasi-polynomials with respect to ƒ-good filtrations, multiplicities

AbstractIn this paper we prove a generalization of the Hilbert Theorem in terms of quasi-polynomial functions. As an application we give an extension of the Hilbert-Samuel Theorem to finitely generated A-modules filtered by ƒ-good filtrations, where ƒ is a noetherian filtration on a noetherian ring A. We deduce a multiplicity function on the category of finitely generated A-modules with values in the set Qf of rational numbers and we show that this multiplicity behaves like that of ideals

Protein-energy status and 15N-glycine kinetic study of child a cirrhotic patients fed low- to high-protein energy diets

In five male cirrhotic patients (Child A) and in four age- and sex-matched healthy control subjects, whole-body protein turnover was measured using a single oral dose of N-15-glycine as a tracer and urinary ammonia as end product. Subjects were studied in the fasting and feeding state, with different levels of protein and energy intake. The patients were underweight and presented lower plasma transthyretin and retinol-binding protein levels. When compared with controls, the kinetic studies showed patients to be hypometabolic in the fasting (Do) state and with the control diet [D-1 = (0.85 g of protein/154 kJ). kg(-1). day(-1)]. However, when corrected by body weight, the kinetic differences between groups disappeared, whereas the N-retention in the feeding state showed better results for the patients due mainly to their efficient breakdown decrease. When fed high-level protein or energy diets [D-2 = (0.9 g protein/195 kJ) and D-3 = (1.56 g protein/158 kJ). kg(-1). day(-1)], the patients showed D-0 = D-1 = D-2 < D-3 for N-flux and (D-0 = D-1) < D-3 (D-2 is intermediary) for protein synthesis. Thus, the present data suggest that the remaining mass of the undernourished mild cirrhotic patients has fairly good protein synthesis activity and also that protein, rather than energy intake, would be the limiting factor for increasing their whole-body protein synthesis

Resposta metabólica de pacientes cirróticos (Child A) ao aumento da ingestão protéica e/ou calórica. Estudo do balanço nitrogenado.

The dietary protein assimilation by cirrhotic undernourished patients (lower lean body mass and plasma TBPA and RBP levels) was investigated in five-adult male subjects suffering from histologically diagnosed liver cirrhosis, in its clinically mild stage (Child-Turcotte-Pugh grade A). During the 9 day-dietary study the patients received orally a sequence of complete-regional diets containing different protein-energy compositions identified as (g prot/Cal/kg/day): D0 = 0.42/20.9; D1 = 0.91/37.5; D2 = 0.99/47.9 and D3 = 1.60/40.5. The respective N-balance values (g/day) found were (mean +/- SD): low protein calorie (D0) = -4.24 +/- 2.46; normal protein calorie (D1) = 0.66 +/- 1.99; normal protein-high calorie (D2) = 1.14 +/- 2.54; high protein normal calorie (D3) = 5.12 +/- 2.48. The correspondent urea-N output (g/kg/day) were D0 = 0.22 +/- 0.100; D1 = 0.238 +/- 0.099; D = 0.20 +/- 0.063 and D3 = 0.310 +/- 0.121. The present data thus suggest that protein rather than energy intake would be the limited factor for increasing the N-retention in (mild) cirrhotic patients whom tolerate well dietary protein at either normal or elevated levels

Comparison of omega-3 fatty acids and sulfasalazine in ulcerative colitis

Fish oil omega-3 fatty acids exert antiinflammatory effects on patients with ulcerative colitis. However, a comparative study in patients with mild to moderate ulcerative colitis receiving only sulfasalazine or omega-3 fatty acids has not been performed. We sought to detect changes in the inflammatory disease activity with the use of either fish oil omega-3 fatty acids or sulfasalazine in patients with ulcerative colitis. Ten patients (five male, five female; mean age = 48 +/- 12 y) with mild to moderate active ulcerative colitis were investigated in a randomized cross-over design. They received either sulfasalazine (2 g/d) or omega-3 fatty acids (5.4 g/d) for 2 mo. Disease activity was assessed by clinical and laboratory indicators, sigmoidoscopy, histology, and whole-body protein turnover (with N-15-glycine). Treatment with w-3 fatty acids resulted in greater disease activity as detected by a significant increase in platelet count, erythrocyte sedimentation rate, C-reactive protein, and total fecal nitrogen excretion. No major changes in protein synthesis and breakdown were observed during either treatment. In conclusion, treatment with sulfasalazine is superior to treatment with omega-3 fatty acids in patients with mild to moderate active ulcerative colitis. Nutrition 2000;16:87-901 (C) Elsevier B.V. 2000