A lower bound for the dimension of the base locus of the generalized theta divisor

We produce a lower bound for the dimension of the base locus of the generalized theta divisor on the moduli space SU_C(r) of semistable vector bundles of rank r and trivial determinant on a smooth curve C of genus g > 1.Comment: 4 page

MMP-2, MMP-9 and activin A blood levels in patients with breast cancer or prostate cancer metastatic to the bone.

Background: The clinical significance of the circulating levels of activin A and matrix metalloproteinase-2 (MMP-2) and -9 (MMP-9) was investigated in patients with breast cancer (BC) or prostate cancer (PC) with (M1) or without (M0) bone metastasis. Patients and Methods: MMP-2, MMP-9 and activin A blood concentrations were measured by enzyme immunoassays in 79 cancer patients and in 57 healthy blood donors (HS) who served as a control group. The diagnostic accuracy of these molecules to discriminate between M0 and M1 patients was evaluated by the receiver operating characteristic curve (ROC) and compared to that of tumor markers CA15.3 or prostate-specific antigen (PSA). Results: Activin A and MMP-2 were significantly increased in BC and PC patients as compared to sex-matched HS while MMP-9 levels were more elevated only in the PC patients. Interestingly, in the PC patients, activin A levels were significantly higher than those measured in the BC patients. In this latter group, activin A and CA15.3 but not MMP-2 or MMP-9 were increased in the M1 patients as compared to M0 patients. Furthermore, a significant relationship was also highlighted between activin A concentration and the number of bone metastases and tumor grade, between MMP-9 and tumor grade, and between MMP-2 and CA15.3. ROC curve analysis showed a good diagnostic accuracy for activin A and CA15.3 but a poor accuracy for MMP-2 and MMP-9 in discriminating between M0 and M1 patients. However, CA15.3 retained the best diagnostic accuracy in this respect. In the PC group, only activin A and PSA levels were significantly increased in the M1 patients as compared to the M0 patients. A similar although not statistically significant trend was noted for MMP-9. Interestingly, a significant correlation was observed between PSA and activin A and MMP-9, and between Activin A and Gleason score and the number of skeletal metastases. ROC curve analysis showed a good diagnostic accuracy for activin A, MMP-9 and PSA and a poor diagnostic accuracy for MMP-2 in detecting M1 patients. However, PSA showed the highest diagnostic accuracy. Conclusion: Activin A, MMP-2 and MMP-9 may be regarded as possible therapeutic targets in the treatment of metastatic bone disease. However, their usefulness as additional markers of bone metastasis remains to be better define

Prediction of rehabilitation induced motor recovery after stroke using a multi-dimensional and multi-modal approach

Background: Stroke is a debilitating disease affecting millions of people worldwide. Despite the survival rate has significantly increased over the years, many stroke survivors are left with severe impairments impacting their quality of life. Rehabilitation programs have proved to be successful in improving the recovery process. However, a reliable model of sensorimotor recovery and a clear identification of predictive markers of rehabilitation-induced recovery are still needed. This article introduces the cross-modality protocols designed to investigate the rehabilitation treatment’s effect in a group of stroke survivors. Methods/design: A total of 75 stroke patients, admitted at the IRCCS San Camillo rehabilitation Hospital in Venice (Italy), will be included in this study. Here, we describe the rehabilitation programs, clinical, neuropsychological, and physiological/imaging [including electroencephalography (EEG), transcranial magnetic stimulation (TMS), and magnetic resonance imaging (MRI) techniques] protocols set up for this study. Blood collection for the characterization of predictive biological biomarkers will also be taken. Measures derived from data acquired will be used as candidate predictors of motor recovery. Discussion/summary: The integration of cutting-edge physiological and imaging techniques, with clinical and cognitive assessment, dose of rehabilitation and biological variables will provide a unique opportunity to define a predictive model of recovery in stroke patients. Taken together, the data acquired in this project will help to define a model of rehabilitation induced sensorimotor recovery, with the final aim of developing personalized treatments promoting the greatest chance of recovery of the compromised functions

Nef divisors for moduli spaces of complexes with compact support

In [BM14b], the first author and Macr\`i constructed a family of nef divisors on any moduli space of Bridgeland-stable objects on a smooth projective variety X. In this article, we extend this construction to the setting of any separated scheme Y of finite type over a field, where we consider moduli spaces of Bridgeland-stable objects on Y with compact support. We also show that the nef divisor is compatible with the polarising ample line bundle coming from the GIT construction of the moduli space in the special case when Y admits a tilting bundle and the stability condition arises from a \theta-stability condition for the endomorphism algebra. Our main tool generalises the work of Abramovich--Polishchuk [AP06] and Polishchuk [Pol07]: given a t-structure on the derived category D_c(Y) on Y of objects with compact support and a base scheme S, we construct a constant family of t-structures on a category of objects on YxS with compact support relative to S.Comment: 36 pages. In memory of Johan Louis Dupont. V2: updated following comments from the referee and from Joe Karmazyn who gave a counterexample to a false claim in version 1. To appear in Selecta Mat