On the friable mean-value of the Erd\H{o}s-Hooley Delta function

For integer $n$ and real $u$, define $\Delta(n,u):= |\{d : d \mid n,\,{\rm e}^u <d\leqslant {\rm e}^{u+1} \}|$. Then, put $\Delta(n):=\max_{u\in{\mathbb R}} \Delta(n,u).$ We provide uniform upper and lower bounds for the mean-value of $\Delta(n)$ over friable integers, i.e. integers free of large prime factors

The ANTENATAL multicentre study to predict postnatal renal outcome in fetuses with posterior urethral valves: objectives and design

Abstract Background Posterior urethral valves (PUV) account for 17% of paediatric end-stage renal disease. A major issue in the management of PUV is prenatal prediction of postnatal renal function. Fetal ultrasound and fetal urine biochemistry are currently employed for this prediction, but clearly lack precision. We previously developed a fetal urine peptide signature that predicted in utero with high precision postnatal renal function in fetuses with PUV. We describe here the objectives and design of the prospective international multicentre ANTENATAL (multicentre validation of a fetal urine peptidome-based classifier to predict postnatal renal function in posterior urethral valves) study, set up to validate this fetal urine peptide signature. Methods Participants will be PUV pregnancies enrolled from 2017 to 2021 and followed up until 2023 in >30 European centres endorsed and supported by European reference networks for rare urological disorders (ERN eUROGEN) and rare kidney diseases (ERN ERKNet). The endpoint will be renal/patient survival at 2 years postnatally. Assuming α = 0.05, 1–β = 0.8 and a mean prevalence of severe renal outcome in PUV individuals of 0.35, 400 patients need to be enrolled to validate the previously reported sensitivity and specificity of the peptide signature. Results In this largest multicentre study of antenatally detected PUV, we anticipate bringing a novel tool to the clinic. Based on urinary peptides and potentially amended in the future with additional omics traits, this tool will be able to precisely quantify postnatal renal survival in PUV pregnancies. The main limitation of the employed approach is the need for specialized equipment. Conclusions Accurate risk assessment in the prenatal period should strongly improve the management of fetuses with PUV

Le syndrome d'antidiurèse inappropriée néphrogénique (NSIAD) (aspects cliniques et physiopathologiques)

MONTPELLIER-BU Médecine UPM (341722108) / SudocMONTPELLIER-BU Médecine (341722104) / SudocSudocFranceF

Development of a successful antitumor therapeutic model combining in vivo dendritic cell vaccination with tumor irradiation and intratumoral GM-CSF delivery

Vaccination of dendritic cells (DC) combined with GM-CSF secreting tumor cells has shown good therapeutic efficacy in several tumor models. Nevertheless, the engineering of GM-CSF secreting tumor cell line could represent a tedious step limiting its application for treatment in patients. We therefore developed in rats, an "all in vivo" strategy of combined vaccination using an in vivo local irradiation of the tumor as a source of tumor antigens for DC vaccines and an exogenous source of GM-CSF. We report here that supplying recombinant mGM-CSF by local injections or surgical implantation of osmotic pumps did not allow reproducing the therapeutic efficacy observed with in vitro prepared combined vaccines. To bypass this limitation possibly due to the short half-life of recombinant GM-CSF, we have generated adeno-associated virus coding for mGM-CSF and tested their efficacy to transduce tumor cells in vitro and in vivo. The in vivo vaccines combining local irradiation and AAV2/1-mGM-CSF vectors showed high therapeutic efficacy allowing to cure 60% of the rats with pre-implanted tumors, as previously observed with in vitro prepared vaccines. Same efficacy has been observed with a second generation of vaccines combining DC, local tumor irradiation, and the controlled supply of recombinant mGM-CSF in poloxamer 407, a biocompatible thermoreversible hydrogel. By generating a successful "all in vivo" vaccination protocol combining tumor radiotherapy with DC vaccines and a straightforward supply of GM-CSF, we have developed a therapeutic strategy easily translatable to clinic that could become accessible to a much bigger number of cancer patients

Identification, production and bioactivity of casein phosphopeptides – A review

International audienc