Search Results (3)

This paper presents a generalized fractional Stockwell transform (GFST), extending the classical Stockwell transform and fractional Stockwell transform, which are widely used tools in time–frequency analysis. The GFST on $L^2(\mathbb{R},\mathbb{C})$ is defined as a convolution consistent with the classical Stockwell transform, and the fundamental properties of GFST such as linearity, translation, scaling, etc., are discussed. We focus on establishing an orthogonality relation and derive an inversion formula as a direct application of this relation. Additionally, we characterize the range of the GFST on $L^2(\mathbb{R},\mathbb{C})$. Finally, we prove an uncertainty principle of the Heisenberg type for the proposed GFST. Full article

Introduction: Frailty scales are used very rarely by general practitioners as they are time consuming and are not well-adapted to current needs. Thus, we have designed with general practitioners a new scale for the early and rapid detection of frailty syndrome, called the simplified Zulfiqar Frailty Scale (sZFS). Patients and methods: This scale was tested in two general medicine practices in Normandy (France) for a total of six months and compared to the GFST tool “The Gerontopole Frailty Screening Tool”. Only patients who were over 65 years old with an ADL ≥ 4/6 were included. Results: 107 were patients included in the general medicine practice, with an average age of 74 years. The sZFS questionnaire has a shorter administration time than the GFST questionnaire (p < 0.001). Its sensitivity is of 93%, and its specificity is 58%. Its positive predictive value is 57%, and its negative predictive value is 93%. The area under the curve of the sZFS scale is 0.83 [0.76; 0.91] (IC95%). Conclusion: Our frailty screening scale is simple, relevant, and quick. Full article

Introduction: Very few frailty scales are used by general practitioners as they are time consuming and cumbersome. We designed a new scale for the rapid detection of frailty. Methods: We developed a frailty screening tool for use in primary care, referred to as the Zulfiqar Frailty Scale (ZFS). This scale was tested in a general practitioner’s office for six months in Plancoët, France. Only patients over 75 years of age with Activities of Daily Living (ADL) ≥4 were included. The objective of this research was to validate the scale, evaluate its performance, and compare this screening tool with other scales such as the Fried Scale, the Gerontopole Frailty Screening Tool (GFST), the modified Short Emergency Geriatric Assessment (mSEGA) Grid A, and the Comprehensive Geriatric Assessment (CGA). Results: A total of 102 patients were included, with a mean age of 82.65 ± 4.79; 55 were women and 47 were men. The percentage of frail subjects was 63.7% in our scale, 67.7% in the mSEGA grid A, 75.5% in the GFST, and 60.8% for the Fried criteria. After a comprehensive geriatric assessment, frailty syndrome was found in 57 patients (55.9%). In general, both scales showed solid performance, and differences between them in the sample were minimal. As the CGA showed a prevalence of frailty of 55.9%, a similar prevalence threshold for the ZFS (i.e., 64% at the threshold ≥3 could be assessed). The completion time for our scale was less than two minutes, and staff required no training beforehand. Its sensitivity was 83.9%, and its specificity was 67.5%. Its positive predictive value was 80%, and its negative predictive value was 73%. The Pearson correlations between the geriatric scores were all strong and roughly equivalent to each other. Conclusions: Our frailty screening scale is simple, relevant, and rapid (taking less than two minutes). Full article