We address discrete nonlinear inverse problems with weighted least squares and Tikhonov regularization. Regularization is a way to add more information to the problem when it is ill-posed or ill-conditioned. However, it is still an open question as to how to weight this information. The discrepancy principle considers the residual norm to determine the regularization weight or parameter, while ...

Arsenic exposure from burning high arsenic-containing coal has been associated with human skin lesion and cancer. However, the mechanisms of arsenic-related carcinogenesis are not fully understood. Inactivation of critical tumor suppression genes by epigenetic regulation or genetic modification might contribute to arsenic-induced carcinogenicity. This study aims to clarify the correlation betwe...

We study the image of a generalized Dedekind sum relating to weight zero Eisenstein series Eχ1,χ2. show that is lattice full rank inside number field determined by characters χ1 and χ2. also give generalization Knopp's identity for classical sum.

We present the CTEQ6HQ parton distribution set which is determined in the general variable flavor number scheme which incorporates heavy flavor mass effects; hence, this set provides advantages for precision observables which are sensitive to charm and bottom quark masses. We describe the analysis procedure, examine the predominant features of the new distributions, and compare with previous di...

BACKGROUND Active tuberculosis (TB) with negative results of sputum smear is difficult to be identified. Till now, there is no effective and noninvasive diagnostic method. This study evaluated the diagnostic power of Mycobacterium tuberculosis T-cell (T.SPOT®.TB) assays for active TB. METHODS We retrospectively screened 450 suspected TB patients that were hospitalized in the Respiratory Depar...

Objective: to evaluate the effectiveness of stereotactic radiosurgery as a therapy method taking into account overall survival in patients with recurrent glioblastoma at all stages treatment. Materials and methods. A sample (66 ailments) who were treated 2016-2021 molecularly confirmed diagnosis wild-type was analyzed. Only patients, who, several rule, underwent stereotaxic (SRS), or SRS alone ...

BACKGROUND Current understanding of tumor biology suggests that breast cancer is a group of diseases with different intrinsic molecular subtypes. Anatomic staging system alone is insufficient to provide future outcome information. The American Joint Committee on Cancer (AJCC) expert panel updated the 8th edition of the staging manual with prognostic stage groups by incorporating biomarkers into...

Results The prevalence of CT and TT genotype was 37 and 13%, distribution of AC and CC alleles 43 and 9%, respectively. MTX toxicity was noticed in 41% of children (GI complaints, raised transaminases, alopecia). 66% of patients were classified as MTX responders. Folate concentration was below 800 nmol/l in 28%. Presence of neither of MTHFR polymorphisms correlated with side effects (p = 0, 71,...