The problem of estimating parameters in the drift coefficient when a diffusion process is observed continuously requires some specific assumptions. In this paper, we consider a stochastic version of the Gompertzian model that describes in vivo tumor growth and its sensitivity to treatment with antiangiogenic drugs. An explicit likelihood function is obtained, and we discuss some properties of the maximum likelihood estimator for the intrinsic growth rate of the stochastic Gompertzian model. Furthermore, we show some simulation results on the behavior of the corresponding discrete estimator. Finally, an application is given to illustrate the estimate of the model parameters using real data.

In order to evaluate the actual antioxidant features of foods, beverages and also plasma from patients, a number of assays have been developed in the last few years to determine the so called total antioxidant activity (TAA), intended as the cumulative capacity of a biological sample to scavenge free radicals. Most of the assays partially failed in obtaining a good reproducibility when using plasma because it is composed of a large number of substances, some of which are present at very high concentrations and possess masking features. For these reasons we have improved the widely known ABTS method by means of a FIA system where both temperature and dispersion of sample and reagent were strictly controlled. We found that temperature may be a critical aspect in the measurement of plasma TAA whilst its influence may be less important in the assay of non-complex biological samples. We demonstrated that also the reaction time may be critical, depending on the nature of the substance employed. Data confirmed the high TAA of a methylsalicylate-containing mouthrinse as well as the negligible TAA offered by the chlorhexidine containing one. White wines (Verdicchio) also displayed interesting TAA values. The improved method was useful to screen rapidly, without dilution, with very limited handling of the sample and with high repeatability the TAA of plasma in addition to chemical products, beverages and non-complex biological mixtures.

Since the subjects with the lowest hydroperoxide contents are phenotypically healthy, whereas the affected individuals presented lower antioxidant levels and very high hydroperoxide concentrations, it has been suggested that a specific antioxidant therapy could be a promising approach in treating some PLS subjects. Moreover, unexpected manifestations of heterozygosity in the child of the third generation were also detected.

The pharmacokinetics of norfloxacin were studied in six healthy volunteers, and three patients each with moderate renal and hepatic damage. A new specific and sensitive high performance liquid chromatography method was set up to measure plasma and urine concentrations of norfloxacin. The mean urinary concentrations after a single oral dose of 400 mg norfloxacin exceeded many times the MIC and MBC values of most of the bacterial strains responsible for urinary tract infections. Results in the patients with hepatic and renal damage indicated slight and not statistically significant differences in comparison with healthy volunteers.

Papillon-Lefèvre syndrome (PLS) is an uncommon disease. Less than 300 cases have been described. PLS is characterized by the association between palmar plantar hyperkeratosis (PPK) and severe precocious periodontitis that results in the premature loss of both the primary and secondary dentitions. It is known that periodontitis (PE), the destructive phase of periodontal disease, is a multifactor phenomenon involving a variety of molecular species, among them free radicals and reactive oxygen species (ROS). Antioxidants have been shown to play a critical role in modulating ROS-induced damages during PE. We wondered if patients belonging to a family group with different grades of PLS severity may present altered plasma concentrations of oxidation products as well as of lipophilic antioxidants, like Coenzyme Q or vitamin E, which are molecules that possess well-known antioxidant properties and could play a role in PE processes. We also wondered about the actual plasma total antioxidant capacity of these subjects as well as a complete identification of their plasma fatty acids features, which have been never investigated before. The results we obtained indicate an impairment in the antioxidant capacity of the subjects characterized by abnormally high hydroperoxide levels and, in some cases, by altered CoQ and vitamin E contents. Moreover, an essential fatty acid deficiency (EFAD) was registered on the basis of the peculiar plasma fatty acid patterns found (i.e. low PUFA, high MUFA and high delta-9 desaturase activity). This finding would support the hypothesisby Gutteridge and co-workers (Free Radic. Res. 1998, 28: 109-114) that conditions exist in which some forms of oxidative stress can lead to changes characteristic of EFAD.