Let be the sequence of Padovan numbers defined by , , and for all . In this paper, we find all positive square-free integers such that the Pell equations with , have at least two positive integer solutions (, ) and such that both and are sums of two Padovan numbers.
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http://dx.doi.org/10.1007/s40590-021-00312-8 | DOI Listing |
Nutrients
August 2024
The George Institute for Global Health, University of New South Wales, Level 18, International Towers 3300 Barangaroo Ave, Barangaroo, Sydney, NSW 2000, Australia.
Despite growing concerns over the increasing popularity and health impact of commercial foods for infants and toddlers, no nutrition or promotional guidelines currently exist for the United States. In 2022, the WHO Regional Office for Europe published a nutrient and promotion profile model (NPPM) to provide guidance and regulation for commercially produced infant and toddler foods. This study assessed the nutritional and promotional profile of infant and toddler foods (6-36 months of age) collected from the top 10 grocery chains in 2023.
View Article and Find Full Text PDFPLoS One
July 2024
Department of Gynecology and Obstetrics of Ribeirao Preto Medical School, University of São Paulo, Ribeirão Preto, São Paulo, Brazil.
Choosing appropriate reference genes or internal controls to normalize RT-qPCR data is mandatory for the interexperimental reproducibility of gene expression data obtained by RT-qPCR in most studies, including those on endometriosis. Particularly for miRNAs, the choice for reference genes is challenging because of their physicochemical and biological characteristics. Moreover, the retrograde menstruation theory, mesenchymal stem cells in menstrual blood (MenSCs), and changes in post-transcriptional regulatory processes through miRNAs have gained prominence in the scientific community as important players in endometriosis.
View Article and Find Full Text PDFActa Clin Croat
July 2023
Department of Urology, Zagreb University Hospital Center, Zagreb, Croatia.
Kidney transplantation is the treatment of choice in eligible patients with end-stage kidney disease. Prostate cancer (PC) is the second most common cancer in men worldwide. The prevalence of chronic kidney disease worldwide is 13.
View Article and Find Full Text PDFESMO Open
April 2024
Department of Oncology, Oncology 1, Veneto Institute of Oncology IOV-IRCCS, Padua.
Background: In the randomized phase II REGOMA trial, regorafenib showed promising activity in patients with recurrent glioblastoma. We conducted a large, multicenter, prospective, observational study to confirm the REGOMA data in a real-world setting.
Patients And Methods: The major inclusion criteria were histologically confirmed diagnosis of glioblastoma according to the World Health Organization (WHO) 2016 classification and relapse after radiotherapy with concurrent/adjuvant temozolomide treatment, good performance status [Eastern Cooperative Oncology Group performance status (ECOG PS 0-1)] and good liver function.
Eur J Cancer
September 2023
Department of Oncology, Oncology 1, Veneto Institute of Oncology IOV-IRCCS, Padua, Italy.
Background: Next-generation sequencing (NGS) panels enable the identification of alterations in cancer-related genes. This may guide a molecularly targeted strategy for the treatment of glioblastoma (GBM).
Material And Methods: We retrospectively analysed data obtained using FoundationOne®CDx in a large cohort of IDH1/2 wild-type GBM.
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