scholarly journals Multifractal formalisms for multivariate analysis

Author(s):  
Stéphane Jaffard ◽  
Stéphane Seuret ◽  
Herwig Wendt ◽  
Roberto Leonarduzzi ◽  
Patrice Abry

Multifractal analysis, that quantifies the fluctuations of regularities in time series or textures, has become a standard signal/image processing tool. It has been successfully used in a large variety of applicative contexts. Yet, successes are confined to the analysis of one signal or image at a time (univariate analysis). This is because multivariate (or joint) multifractal analysis remains so far rarely used in practice and has barely been studied theoretically. In view of the myriad of modern real-world applications that rely on the joint (multivariate) analysis of collections of signals or images, univariate analysis constitutes a major limitation. The goal of the present work is to theoretically ground multivariate multifractal analysis by studying the properties and limitations of the most natural extension of the univariate formalism to a multivariate formulation. It is notably shown that while performing well for a class of model processes, this natural extension is not valid in general. Based on the theoretical study of the mechanisms leading to failure, we propose alternative formulations and examine their mathematical properties.

2020 ◽  
Author(s):  
BHAVIN VASAVADA ◽  
Hardik Patel

UNSTRUCTURED All the gastrointestinal surgeries performed between April 2016 to march 2019 in our institution have been analysed for morbidity and mortality after ERAS protocols and data was collected prospectively. We performed 245 gastrointestinal and hepato-biliary surgeries between April 2016 to march 2019. Mean age of patients was 50.96 years. 135 were open surgeries and 110 were laparoscopic surgeries. Mean ASA score was 2.40, mean operative time was 111 minutes, mean CDC grade of surgery was 2.56. 40 were emergency surgeries and 205 were elective surgeries. Overall 90 days mortality rate was 8.5% and over all morbidity rate was around 9.79% . On univariate analysis morbidity was associated significantly with higher CDC grade of surgeries, higher ASA grade, more operative time, more blood products use, more hospitalstay, open surgeries,HPB surgeries and luminal surgeries(non hpb gastrointestinal surgeries) were associated with higher 90 days morbidity. On multivariate analysis no factors independently predicted morbidity. On univariate analysis 90 days mortality was predicted by grade of surgeries, higher ASA grade, more operative time, more blood products use, open surgeries and emergency surgeries. However on multivariate analysis only more blood products used was independently associated with mortality There is no difference between 90 day mortality and moribidity rates between open and laparoscopic surgeries.


Cancers ◽  
2021 ◽  
Vol 13 (4) ◽  
pp. 712
Author(s):  
Joohee Lee ◽  
Young Seok Cho ◽  
Jhingook Kim ◽  
Young Mog Shim ◽  
Kyung-Han Lee ◽  
...  

Background: Imaging tumor FDG avidity could complement prognostic implication in thymic epithelial tumors. We thus investigated the prognostic value of volume-based 18F-fluorodeoxyglucose (18F-FDG) positron emission tomography (PET)/CT parameters in thymic epithelial tumors with other clinical prognostic factors. Methods: This is a retrospective study that included 83 patients who were diagnosed with thymic epithelial tumors and underwent pretreatment 18F-FDG PET/CT. PET parameters, including maximum and average standardized uptake values (SUVmax, SUVavg), metabolic tumor volume (MTV), and total lesion glycolysis (TLG), were measured with a threshold of SUV 2.5. Univariate and multivariate analysis of PET parameters and clinicopathologic variables for time-to-progression was performed by using a Cox proportional hazard regression model. Results: There were 21 low-risk thymomas (25.3%), 27 high-risk thymomas (32.5%), and 35 thymic carcinomas (42.2%). Recurrence or disease progression occurred in 24 patients (28.9%). On univariate analysis, Masaoka stage (p < 0.001); histologic types (p = 0.009); treatment modality (p = 0.001); and SUVmax, SUVavg, MTV, and TLG (all p < 0.001) were significant prognostic factors. SUVavg (p < 0.001) and Masaoka stage (p = 0.001) were independent prognostic factors on multivariate analysis. Conclusion: SUVavg and Masaoka stage are independent prognostic factors in thymic epithelial tumors.


2021 ◽  
Vol 108 (Supplement_3) ◽  
Author(s):  
G Martínez Izquierdo ◽  
A R Arnaiz Pérez ◽  
E Escolano Fernández ◽  
M Merayo Álvarez ◽  
B Carrasco Aguilera ◽  
...  

Abstract INTRODUCTION Renal cell carcinoma (RCC) represents 3% of overall malignant neoplasms in adults. However, its aetiology has not been clearly established. Although surgery represents the cornerstone in treatment, recurrence postoperative rates are around 20-30%, what implies prognostic factors search must be mandatory in order to help to plan de follow-up and the different adjuvant therapy possibilities available in case they were necessary. MATERIAL AND METHODS A retrospective observational study was carried out in 110 patients who underwent radical nephrectomy between 2004 and 2018, with the aim of identifying possible prognostic factors of recurrence of RCC after these surgeries. Preoperative data (epidemiological, comorbidities and laboratory tests), surgical, pathological and variables related to follow-up were taken into account. A univariate and multivariate analysis were performed, using chi-square test and logistic regression, respectively. RESULTS The median follow-up time was 53.5 months (SD = 35.8), time in which 19 patients had a recurrence of RCC after radical nephrectomy (17.2%). Histopathological items such as the surgical piece size, the nodal and microvascular invasion, the renal sinus invasion and the presence of necrosis in the surgical piece were associated with RCC recurrence in the univariate analysis, while only the presence of necrosis in the surgical piece showed a significant result in the multivariate analysis (p = 0.004). CONCLUSIONS Histopathological analysis, highlighting the presence of necrosis in the histological sample, was proved to be the main risk factor of RCC recurrence.


Diagnostics ◽  
2021 ◽  
Vol 11 (2) ◽  
pp. 244
Author(s):  
Kei Yoneda ◽  
Naoto Kamiya ◽  
Takanobu Utsumi ◽  
Ken Wakai ◽  
Ryo Oka ◽  
...  

(1) Background: This study aimed to evaluate the associations of lymphovascular invasion (LVI) at first transurethral resection of bladder (TURBT) and radical cystectomy (RC) with survival outcomes, and to evaluate the concordance between LVI at first TURBT and RC. (2) Methods: We analyzed 216 patients who underwent first TURBT and 64 patients who underwent RC at Toho University Sakura Medical Center. (3) Results: LVI was identified in 22.7% of patients who underwent first TURBT, and in 32.8% of patients who underwent RC. Univariate analysis identified ≥cT3, metastasis and LVI at first TURBT as factors significantly associated with overall survival (OS) and cancer-specific survival (CSS). Multivariate analysis identified metastasis (hazard ratio (HR) 6.560, p = 0.009) and LVI at first TURBT (HR 9.205, p = 0.003) as significant predictors of CSS. On the other hand, in patients who underwent RC, ≥pT3, presence of G3 and LVI was significantly associated with OS and CSS in univariate analysis. Multivariate analysis identified inclusion of G3 as a significant predictor of OS and CSS. The concordance rate between LVI at first TURBT and RC was 48.0%. Patients with positive results for LVI at first TURBT and RC displayed poorer prognosis than other patients (p < 0.05). (4) Conclusions: We found that the combination of LVI at first TURBT and RC was likely to provide a more significant prognostic factor.


Author(s):  
Aleksandra Ledwon ◽  
Ewa Paliczka-Cieślik ◽  
Aleksandra Syguła ◽  
Tomasz Olczyk ◽  
Aleksandra Kropińska ◽  
...  

Abstract Objective In patients with differentiated thyroid carcinoma (DTC), serum thyroglobulin levels measured at the time of remnant ablation after thyroid hormone withdrawal were shown to have prognostic value for disease-free status. We sought to evaluate serial thyroglobulin measurements at the time of recombinant human thyroid-stimulating hormone (rhTSH)-aided iodine 131 (131I) adjuvant treatment as prognostic markers of DTC. Methods Six hundred-fifty patients with DTC given total/near-total thyroidectomy and adjuvant radioiodine post-rhTSH stimulation were evaluated. Thyroglobulin was measured on day 1 (Tg1; at the time of the first rhTSH injection), day 3 (Tg3; 1 day after the second, final rhTSH injection), and day 6 (Tg6; 3 days post-radioiodine administration). Treatment failure was defined as histopathologically confirmed locoregional recurrence, or radiologically-evident distant metastases (signs of disease on computer tomography (CT) or magnetic resonance imaging (MRI), or abnormal foci of radioiodine or [18F] fluorodeoxyglucose ([18F]FDG) uptake. Results In univariate analysis, Tg1 (p < 0.001) and Tg3 (p < 0.001), but not Tg6, were significantly associated with structural recurrence. In multivariate analysis of the overall cohort, only Tg3 was independently associated with structural recurrence. In multivariate analysis of the subgroup (n = 561) with anti-Tg antibodies titers below the institutional cut-off, 115 IU/mL, Tg1 was an independent prognostic marker. Tg1 and Tg3 cutoffs to best predict structural recurrence were established at 0.7 ng/mL and 1.4 ng/mL, respectively. Conclusions Tg1 and Tg3, measurements made after rhTSH stimulation but before radioiodine treatment, independently predict a low risk of treatment failure in patients with DTC. Levels measured post-radioiodine application (e.g., Tg6) are highly variable, lack prognostic value, and hence can be omitted.


2021 ◽  
Vol 16 (1) ◽  
Author(s):  
Jure Murgic ◽  
Blanka Jaksic ◽  
Marin Prpic ◽  
Davor Kust ◽  
Amit Bahl ◽  
...  

Abstract Background Hypofractionated post-prostatectomy radiotherapy is emerging practice, however with no randomized evidence so far to support it’s use. Additionally, patients with persistent PSA after prostatectomy may have aggressive disease and respond less well on standard salvage treatment. Herein we report outcomes for conventionally fractionated (CFR) and hypofractionated radiotherapy (HFR) in patients with persistent postprostatectomy PSA who received salvage radiotherapy to prostate bed. Methods Single institution retrospective chart review was performed after Institutional Review Board approval. Between May 2012 and December 2016, 147 patients received salvage postprostatectomy radiotherapy. PSA failure-free and metastasis-free survival were calculated using Kaplan–Meier method. Cox regression analysis was performed to test association of fractionation regimen and other clinical factors with treatment outcomes. Early and late toxicity was assessed using Common Terminology Criteria for Adverse Events (CTCAE) Version 4.0. Results Sixty-nine patients who had persistent PSA (≥ 0.1 ng/mL) after prostatectomy were identified. Median follow-up was 67 months (95% CI 58–106 months, range, 8–106 months). Thirty-six patients (52.2%) received CFR, 66 Gy in 33 fractions, 2 Gy per fraction, and 33 patients (47.8%) received HFR, 52.5 Gy in 20 fractions, 2.63 Gy per fraction. Forty-seven (68%) patients received androgen deprivation therapy (ADT). 5-year PSA failure- and metastasis-free survival rate was 56.9% and 76.9%, respectively. Thirty patients (43%) experienced biochemical failure after salvage radiotherapy and 16 patients (23%) experienced metastatic relapse. Nine patients (13%) developed metastatic castration-resistant disease and died of advanced prostate cancer. Median PSA failure-free survival was 72 months (95% CI; 41–72 months), while median metastasis-free survival was not reached. Patients in HFR group were more likely to experience shorter PSA failure-free survival when compared to CFR group (HR 2.2; 95% CI 1.0–4.6, p = 0.04). On univariate analysis, factors significantly associated with PSA failure-free survival were radiotherapy schedule (CFR vs HFR, HR 2.2, 95% CI 1.0–4.6, p = 0.04), first postoperative PSA (HR 1.02, 95% CI 1.0–1.04, p = 0.03), and concomitant ADT (HR 3.3, 95% CI 1.2–8.6, p = 0.02). On multivariate analysis, factors significantly associated with PSA failure-free survival were radiotherapy schedule (HR 3.04, 95% CI 1.37–6.74, p = 0.006) and concomitant ADT (HR 4.41, 95% CI 1.6–12.12, p = 0.004). On univariate analysis, factors significantly associated with metastasis-free survival were the first postoperative PSA (HR 1.07, 95% CI 1.03–1.12, p = 0.002), seminal vesicle involvement (HR 3.48, 95% CI 1.26–9.6,p = 0.02), extracapsular extension (HR 7.02, 95% CI 1.96–25.07, p = 0.003), and surgical margin status (HR 2.86, 95% CI 1.03–7.97, p = 0.04). The first postoperative PSA (HR 1.04, 95% CI 1.00–1.08, p = 0.02) and extracapsular extension (HR 4.24, 95% CI 1.08–16.55, p = 0.04) remained significantly associated with metastasis-free survival on multivariate analysis. Three patients in CFR arm (8%) experienced late genitourinary grade 3 toxicity. Conclusions In our experience, commonly used hypofractionated radiotherapy regimen was associated with lower biochemical control compared to standard fractionation in patients with persistent PSA receiving salvage radiotherapy. Reason for this might be lower biological dose in HFR compared to CFR group. However, this observation is limited due to baseline imbalances in ADT use, ADT duration and Grade Group distribution between two radiotherapy cohorts. In patients with persistent PSA post-prostatectomy, the first postoperative PSA is an independent risk factor for treatment failure. Additional studies are needed to corroborate our observations.


Author(s):  
Jennifer L. Talley ◽  
Patti Hammonds-Greene

The purpose of this study was to compare the coping strategies between homeless women with dependent children and homeless women without dependent children. Of the 192 homeless women in this study, 64 were mothers whose dependent children lived with them, and 132 were women who did not have dependent children living with them. The women were recruited from homeless shelters in Georgia, in the Metro Atlanta area and surrounding counties. Multivariate analysis of variance (MANOVA) was used to test the differences between both groups using their scores on the Coping Strategies Inventory scales survey instrument (problem-solving skills, problem reframing, and ability to access social networks). Univariate analysis was used to look at each dependent variable. There was no statistical difference in coping strategies between both groups. The conclusions from this study suggest continued research regarding the benefit of coping strategies among homeless populations.


2021 ◽  
Vol 10 (8) ◽  
pp. 1727
Author(s):  
Ta-Wei Liu ◽  
Chih-Hao Chiu ◽  
Alvin Chao-Yu Chen ◽  
Shih-Sheng Chang ◽  
Yi-Sheng Chan

Background: Medial open wedge high tibial osteotomy (MOWHTO) is a well-established treatment for osteoarthritis of the medial tibiofemoral compartment. Surgical site infection (SSI) after MOWHTO is a devastating complication that may require further surgery. In this study, we aimed to identify the risk factors for infection after MOWHTO over 1 to 4 years of follow-up. Methods: Fifty-nine patients who underwent MOWHTO combined with knee arthroscopic surgery were included in this prospective study. Artificial bone grafts were used in all cases. Possible risk factors, including sex, age, body mass index (BMI), underlying disease, hospitalization length, correction angle, and surgery time, were recorded. Both univariate and multivariate analysis were used. Results: A total of 59 patients who underwent 61 operations were included. Eleven patients (18.0%) were reported to have SSI. Univariate analysis showed that smoking and diabetes mellitus were positively associated with SSI. Multivariate analysis showed that smoking and age were positively associated with SSI. Three patients (4.9%) were reported to suffer from deep SSI, requiring surgical debridement, all of whom were male smokers. Conclusion: Smoking, diabetes mellitus, and old age were identified to be possible risk factors of SSI after MOWHTO. These findings are common risk factors of SSI after orthopedic surgery according to the literature. Patient selection should be performed cautiously, and postoperative prognosis for MOWHTO should be carefully explained to patients who smoke.


Author(s):  
M. F. R. Powell-Bowns ◽  
E. Oag ◽  
D. Martin ◽  
N. D. Clement ◽  
C. E. H. Scott

Abstract Introduction The aim of this study was to identify factors associated with the level of periprosthetic fracture involving a cemented polished tapered stem: Vancouver B or Vancouver C. Methods A retrospective cohort study of 181 unilateral periprosthetic fractures involving Exeter stems was assessed by three observers (mean age 78.5, range 39–103; mean BMI 27.1, 17–39; 97 (54%) male). Patient demographics, deprivation scores, BMI and time since primary prosthesis were recorded. Femoral diameter, femoral cortical thickness, Dorr classification and distal cement mantle length were measured from calibrated radiographs. Interobserver reliability was calculated using intraclass correlation coefficients (ICCs). Univariate and multivariate analysis was performed to identify associations with Vancouver B or C fractures. Results 160/181 (88%) Vancouver B and 21/181 (12%) Vancouver C-level fractures occurred at a mean of 5.9 ± 5.4 years (0.2–26.5) following primary surgery. Radiographic measurements demonstrated excellent agreement (ICC > 0.8, p < 0.001). Mortality was significantly higher following Vancouver C compared to B fractures: 90 day 14/160 Vs 5/21 (p = 0.05); 1 year 29/160 Vs 8/21 (p = 0.03). Univariate analysis demonstrated that Vancouver C fractures were associated with female sex, bisphosphonate use, cortical bone thickness, and distal cement mantle length (p < 0.05). On multivariate analysis, only female sex was an independent predictor of Vancouver C-level fractures (R2 =0.354, p = 0.005). Conclusion Most PFFs involving the Exeter stem design are Vancouver B-type fractures and appear to be independent of osteoporosis. In contrast, Vancouver C periprosthetic fractures display typical fragility fracture characteristics and are associated with female sex, thinner femoral cortices, longer distal cement mantles and high mortality.


Cancers ◽  
2021 ◽  
Vol 13 (3) ◽  
pp. 453
Author(s):  
Vincenza Granata ◽  
Roberta Fusco ◽  
Antonio Avallone ◽  
Alfonso De Stefano ◽  
Alessandro Ottaiano ◽  
...  

Purpose: To assess the association of RAS mutation status and radiomics-derived data by Contrast Enhanced-Magnetic Resonance Imaging (CE-MRI) in liver metastases. Materials and Methods: 76 patients (36 women and 40 men; 59 years of mean age and 36–80 years as range) were included in this retrospective study. Texture metrics and parameters based on lesion morphology were calculated. Per-patient univariate and multivariate analysis were made. Wilcoxon-Mann-Whitney U test, receiver operating characteristic (ROC) analysis, pattern recognition approaches with features selection approaches were considered. Results: Significant results were obtained for texture features while morphological parameters had not significant results to classify RAS mutation. The results showed that using a univariate analysis was not possible to discriminate accurately the RAS mutation status. Instead, considering a multivariate analysis and classification approaches, a KNN exclusively with texture parameters as predictors reached the best results (AUC of 0.84 and an accuracy of 76.9% with 90.0% of sensitivity and 67.8% of specificity on training set and an accuracy of 87.5% with 91.7% of sensitivity and 83.3% of specificity on external validation cohort). Conclusions: Texture parameters derived by CE-MRI and combined using multivariate analysis and patter recognition approaches could allow stratifying the patients according to RAS mutation status.


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