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CATALAN TRANSFORM OF THE κ-FIBONACCI SEQUENCE
Falcon, Sergio Korean Mathematical Society 2013 대한수학회논문집 Vol.28 No.4
In this paper we apply the Catalan transform to the ${\kappa}$-Fibonacci sequence finding different integer sequences, some of which are indexed in OEIS and others not. After we apply the Hankel transform to the Catalan transform of the ${\kappa}$-Fibonacci sequence and obtain an unusual property.
Francesca Falcone,Umberto Leone Roberti Maggiore,Violante Di Donato,Anna Myriam Perrone,Luigi Frigerio,Giuseppe Bifulco,Stephan Polterauer,Paolo Casadio,Gennaro Cormio,Valeria Masciullo,Mario Malzoni 대한부인종양학회 2020 Journal of Gynecologic Oncology Vol.31 No.5
Objective: ‘The Endometrial Cancer Conservative Treatment (E.C.Co.). A multicentre archive’is a worldwide project endorsed by the Gynecologic Cancer Inter-Group, aimed at registeringconservatively treated endometrial cancer (EC) patients. This paper reports the oncologicaland reproductive outcomes of intramucous, G2, endometrioid EC patients from this archive. Methods: Twenty-three patients (Stage IA, G2, endometrioid EC) were enrolled betweenJanuary 2004 and March 2019. Primary and secondary endpoints were, respectively, completeregression (CR) and recurrence rates, and pregnancy and live birth rates. Results: A median follow-up of 35 months (9–148) was achieved. Hysteroscopic resection(HR) plus progestin was adopted in 74% (17/23) of cases. Seventeen patients showed CR(median time to CR, 6 months; 3-13). Among the 6 non-responders, one showed persistenceand 5 progressed, all submitted to definitive surgery, with an unfavorauble outcome in one. The recurrence rate was 41.1%. Ten (58.8%) complete responders attempted to conceive, ofwhom 3 achieved at least one pregnancy with a live-birth. Two out of the 11 candidate patientsunderwent definitive surgery, while the remaining 9 have so far refused. To date, 22 patientsshow no evidence of disease, and one is still alive with disease. Conclusions: Fertility-sparing treatment seems to be feasible even in G2 EC, although cautionshould be kept considering the potential pathological undergrading or non-endometrioid histology misdiagnosis. The low rate of attempt to conceive and of compliance to definitivesurgery underline the need for a ‘global’ counselling extended to the follow-up period.
Veronica Falcone,Grammata Kotzaeridi,Melanie Hanne Breil,Ingo Rosicky,Tina Stopp,Gülen Yerlikaya-Schatten,Michael Feichtinger,Wolfgang Eppel,Peter Husslein,Andrea Tura,Christian S. Göbl 대한당뇨병학회 2019 Diabetes and Metabolism Journal Vol.43 No.6
Background: An early identification of the risk groups might be beneficial in reducing morbidities in patients with gestational diabetes mellitus (GDM). Therefore, this study aimed to assess the biochemical predictors of glycemic conditions, in addition to fasting indices of glucose disposal, to predict the development of GDM in later stage and the need of glucose-lowering medication. Methods: A total of 574 pregnant females (103 with GDM and 471 with normal glucose tolerance [NGT]) were included. A metabolic characterization was performed before 15+6 weeks of gestation by assessing fasting plasma glucose (FPG), fasting insulin (FI), fasting C-peptide (FCP), and glycosylated hemoglobin (HbA1c). Thereafter, the patients were followed-up until the delivery. Results: Females with NGT had lower levels of FPG, FI, FCP, or HbA1c at the early stage of pregnancy, and therefore, showed an improved insulin action as compared to that in females who developed GDM. Higher fasting levels of FPG and FCP were associated with a higher risk of developing GDM. Moreover, the predictive accuracy of this metabolic profiling was also good to distinguish the patients who required glucose-lowering medications. Indices of glucose disposal based on C-peptide improved the predictive accuracy compared to that based on insulin. A modified quantitative insulin sensitivity check index (QUICKIc) showed the best differentiation in terms of predicting GDM (area under the receiver operating characteristics curve [ROC-AUC], 72.1%) or need for pharmacotherapy (ROC-AUC, 83.7%). Conclusion: Fasting measurements of glucose and C-peptide as well as the surrogate indices of glycemic condition could be used for stratifying pregnant females with higher risk of GDM at the beginning of pregnancy.
Francesca Falcone,Giuseppe Laurelli,Simona Losito,Marilena Di Napoli,Vincenza Granata,Stefano Greggi 대한부인종양학회 2017 Journal of Gynecologic Oncology Vol.28 No.1
Objective: To report our 15-year institutional experience of fertility-sparing treatment in young patients with early endometrial cancer (EC) treated by combined hysteroscopic resection and progestin therapy. Methods: Twenty-eight patients (stage IA, G1 and 2 endometrioid EC) wishing to preserve their fertility were enrolled into this prospective study. Hysteroscopic resection was used to resect the tumor, endometrium adjacent to the tumor and myometrium underlying the tumor. Adjuvant hormonal therapy consisted of oral megestrol acetate or levonorgestrel intrauterine device for 6 months or more. Results: After 3 months from the progestin start date, 25 patients (89.3%) showed a complete regression (median time to complete regression, 3 months [range, 3-9 months]), two (7.1%) showed persistent disease, while one patient (3.6%) presented with progressive disease and underwent definitive surgery (stage IA, G3 endometrioid). At 6 months, one of the two patients with persistent disease underwent definitive surgery (stage IA, G1 endometrioid), while the other one was successfully re-treated. Two recurrences were observed (7.7%) both involving the endometrium and synchronous ovarian cancer. The median duration of complete response was 94.5 months (range, 8-175 months). More than half of the responders (57.7%) attempted to conceive with 93.3% and 86.6% pregnancy and live birth rates, respectively. Conclusion: The addition of a standardized three-step resectoscopy to progestin would seem to improve the efficacy of progestin alone. High pregnancy and live birth rates were observed in women attempting to conceive.
최정호,이민지,FALCON SEN SVEN,박성진,추연욱,김일곤,김병규 한국지반공학회 2022 한국지반공학회논문집 Vol.38 No.7
In this paper, a small-scale model testing system was developed using a series of small-scale model tests to analyze the mechanism of compaction pile formation and evaluate the quality of controlled grading aggregates proposed as an alternative material to the sand compaction pile (SCP) method and granular compaction pile (GCP). These are the most typical ground improvement methods in field practice, particularly for soft grounds. However, the SCP has faced difficulties due to the supply shortage of natural sand and the corresponding price surge of sand. The GCP is limited in marine soft grounds because of the failure occurring at the pile tip caused by excessive expansion of the deeper bulbs, leading to uneven bulb formation. The uniformity of compacted pile bulbs is critical to ensuring the bearing capacity and quality of the compaction pile. This study aims to evaluate the performance of the new material and controlled grading aggregates using small-scale model tests simulating field compaction process to investigate its potential application in comparison with SCP. The compaction piles are examined in four cases according to different materials used for compaction pile and clay strength. The compaction pile materials, which are made of sand and controlled grading aggregates, used in this study were compared to reveal the mechanism of the bulb creation. The experimental data confirm that the bulb formation quality of the traditional sand and the new material, controlled grading aggregates are comparable. The compaction pile made of controlled grading aggregates presents higher bearing capacity than that of marine sand.
Stefano Uccella,Francesca Falcone,Stefano Greggi,Francesco Fanfani,Pierandrea De Iaco,Giacomo Corrado,Marcello Ceccaroni,Vincenzo Dario Mandato,Stefano Bogliolo,Jvan Casarin,Giorgia Monterossi,Ciro Pi 대한부인종양학회 2018 Journal of Gynecologic Oncology Vol.29 No.6
Objective: To investigate survival outcomes in endometrioid endometrial cancer (EEC) patients with single vs. multiple positive pelvic lymph nodes. Methods: We performed a retrospective evaluation of all consecutive patients with histologically proven International Federation of Gynecology and Obstetrics (FIGO) stage IIIC1 EEC who underwent primary surgical treatment between 2004 and 2014 at seven Italian gynecologic oncology referral centers. Patients with pre- or intra-operative evidence of extra-uterine disease (including the presence of bulky nodes) and patients with stage IIIC2 disease were excluded, in order to obtain a homogeneous population. Results: Overall 140 patients met the inclusion criteria. The presence of >1 metastatic pelvic node was significantly associated with an increased risk of recurrence and mortality, compared to only 1 metastatic node, at both univariate (recurrence: hazard ratio [HR]=2.19; 95% confidence interval [CI]=1.2–3.99; p=0.01; mortality: HR=2.8; 95% CI=1.24–6.29; p=0.01) and multivariable analysis (recurrence: HR=1.91; 95% CI=1.02–3.56; p=0.04; mortality: HR=2.62; 95% CI=1.13–6.05; p=0.02) and it was the only independent predictor of prognosis in this subset of patients. Disease-free survival (DFS) and disease-specific survival (DSS) were significantly longer in patients with only 1 metastatic node compared to those with more than 1 metastatic node (p=0.008 and 0.009, respectively). Conclusion: The presence of multiple metastatic nodes in stage IIIC1 EEC represents an independent predictor of worse survival, compared to only one positive node. Our data suggest that EEC patients may be categorized according to the number of positive nodes.