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Journal articles on the topic 'Curve extrapolation'

Author: Grafiati

Published: 28 June 2021

Last updated: 29 July 2025

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1

Gallacher, Daniel, Peter Auguste, and Martin Connock. "How Do Pharmaceutical Companies Model Survival of Cancer Patients? A Review of NICE Single Technology Appraisals in 2017." International Journal of Technology Assessment in Health Care 35, no. 2 (2019): 160–67. http://dx.doi.org/10.1017/s0266462319000175.

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AbstractObjectivesBefore an intervention is publicly funded within the United Kingdom, the cost-effectiveness is assessed by the National Institute of Health and Care Excellence (NICE). The efficacy of an intervention across the patients’ lifetime is often influential of the cost-effectiveness analyses, but is associated with large uncertainties. We reviewed committee documents containing company submissions and evidence review group (ERG) reports to establish the methods used when extrapolating survival data, whether these adhered to NICE Technical Support Document (TSD) 14, and how uncertain

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2

Dias, Luanna Costa, Lindemberg Lima Fernandes, and David Franco Lopes. "Elaboração e Extrapolação de Curvas-chave na Região Amazônica." Revista Brasileira de Geografia Física 12, no. 6 (2020): 2285. http://dx.doi.org/10.26848/rbgf.v12.6.p2285-2301.

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O estudo consiste na elaboração e extrapolação de curvas-chave localizadas na Região Amazônica. A elevada disponibilidade hídrica da Região requer hidrogramas precisos para gestão dos Recursos Hídricos. Foram escolhidas cinco estações, com período de dados de 1971 a 2015 e o uso de 463 medições de descarga, para elaboração de curvas-chave do tipo potência e relacionando “cota x vazão” empregando duas formas de calibração: utilização do programa GrafChav e da ferramenta Solver do Excel, tendo o coeficiente de Nash-Sutcliffe (NS) como validação. A extrapolação foi realizada pelos métodos: Logarí

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Liu, You Yu, Jiang Han, and Gou Zheng Zhang. "Research on Intelligent Extension Technology for Curves Based on Trend Extrapolation." Advanced Materials Research 482-484 (February 2012): 2596–99. http://dx.doi.org/10.4028/www.scientific.net/amr.482-484.2596.

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To solve the defect of being not extended for curves in some CAD software, the trend extrapolation principle was imported and the intelligent extension technology for curves was discussed in this paper. The methods of identifying and choosing the trend extrapolation model are provided. Three mathematical models including polynomial curve extension, Gompertz curve extension and exponential curve extension were built, which can be adopted according to the feature points in curves reasonably. This paper has solved the common and core problems, which can be applied to CAD software upgrade or re-de

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4

Cui, Yibo, Tianhong Zhang, Zhaohui Cen, Younes Al-Younes, and Elias Tsoutsanis. "A Novel Curve-and-Surface Fitting-Based Extrapolation Method for Sub-Idle Component Characteristics of Aeroengines." Aerospace 12, no. 6 (2025): 538. https://doi.org/10.3390/aerospace12060538.

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The component characteristics of an aeroengine below idle speed are fundamental for start-up process simulations. However, due to experimental limitations, these characteristics must be extrapolated from data above idle speed. Existing extrapolation methods often suffer from insufficient utilization of available data, reliance on specific prior conditions, and an inability to capture unique operating modes (e.g., the stirring mode and turbine mode of compressor). To address these limitations, this study proposes a novel curve-and-surface fitting-based extrapolation method. The key innovations

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Sato, Hiroyuki, Kosuke Omote, Akira Sato, and Kouki Ueno. "Extrapolation of Sigmoidal Creep Curve by Strain Acceleration Parameter." Key Engineering Materials 592-593 (November 2013): 606–9. http://dx.doi.org/10.4028/www.scientific.net/kem.592-593.606.

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It has been widely accepted that the creep characteristics at high temperatures are mainly evaluated by a minimum creep rate and a time to fracture. Although, a shape of creep curve may vary depending on deformation conditions, the apparent minimum creep rates may become the same value. Thus, for detailed analysis and prediction of creep behavior, other values should be considered which reflects the shape of each creep curve. For the purpose, authors have proposed Satos Strain-Acceleration-Parameter (SAP) which reflects strain rate change during creep. Based on the concept of SAP, the whole cr

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Hegazy, Riham, Gouda Mohammad, and Magdy Ibrahim Mohamed. "Extrapolation errors of force transducer curve fitting equations." Universitas Scientiarum 27, no. 3 (2022): 315–31. http://dx.doi.org/10.11144/javeriana.sc273.eeof.

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Calibration laboratories often face the challenge of the impossibility to perform full capacity range calibration of their force transducers, particularly below 10 % of the force transducer’s capacity. Sometimes these laboratories use curve fitting extrapolation to estimate and predict force transducer behavior within uncalibrated capacity ranges. This work deals with the study of extrapolation errors in force transducers to know and estimate prediction accuracies when using extrapolation for force transducer calibration in ranges below 10 % and between 50 % and 100 % of the transducer’s capac

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McConnell, David, Arthur White, Felicity Lamrock, et al. "OP20 Incorporating External Information In Survival Extrapolation Using A Simplified Bayesian Approach." International Journal of Technology Assessment in Health Care 40, S1 (2024): S10. https://doi.org/10.1017/s0266462324000837.

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IntroductionCost-effectiveness modeling often requires extrapolation of survival data from clinical trials over a long-term horizon. The choice of extrapolation method is often uncertain and can have a profound impact on the results. We propose a novel Bayesian approach towards incorporating external information (e.g., registry data or clinical opinion) into the extrapolation process as a means of reducing this uncertainty.Methods Standard parametric survival curves are fitted to immature time-to-event data using maximum likelihood estimation (MLE). Separately, external information on expected

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Ding, Yanna, Zijie Huang, Xiao Shou, Yihang Guo, Yizhou Sun, and Jianxi Gao. "Architecture-Aware Learning Curve Extrapolation via Graph Ordinary Differential Equation." Proceedings of the AAAI Conference on Artificial Intelligence 39, no. 15 (2025): 16289–97. https://doi.org/10.1609/aaai.v39i15.33789.

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Learning curve extrapolation predicts neural network performance from early training epochs and has been applied to accelerate AutoML, facilitating hyperparameter tuning and neural architecture search. However, existing methods typically model the evolution of learning curves in isolation, neglecting the impact of neural network (NN) architectures, which influence the loss landscape and learning trajectories. In this work, we explore whether incorporating neural network architecture improves learning curve modeling and how to effectively integrate this architectural information. Motivated by t

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9

Jansen, J. R., J. M. Bogaard, and A. Versprille. "Extrapolation of thermodilution curves obtained during a pause in artificial ventilation." Journal of Applied Physiology 63, no. 4 (1987): 1551–57. http://dx.doi.org/10.1152/jappl.1987.63.4.1551.

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The feasibility of three mathematical models to extrapolate the tail of thermodilution curves, when flectures are present in the descending limb, was tested in anesthetized pigs. The models were a local random walk model (LDRW), a log-normal distribution, and a two-compartment model. First, the accuracy of the extrapolation of the tail by each model was tested on two undisturbed curves by taking the truncation at five different points on the descending limb. The extrapolated curve area obtained from each model was compared with total area of the undisturbed curve. Next, dilution curves obtaine

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Martínez Plata, Juan Felipe, Efraín Antonio Domínguez Calle, and Hebert Gonzalo Rivera. "Uncertainty regarding instantaneous discharge obtained from stage-discharge rating curves built with low density discharge measurements." Ingeniería e Investigación 32, no. 1 (2012): 30–35. http://dx.doi.org/10.15446/ing.investig.v32n1.28517.

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This work concerned uncertainty analysis for constructing stage-discharge rating curves to estimate error or uncertainty regarding calculated discharges, considering different discharge measurement availability scenarios. A methodology was used for creating artificial samples of discharge measurements from real data observed in the field and the effect of variation on measurement quantity and distribution concerning instantaneous discharge uncertainty was then studied. The results indicated that discharge uncertainty mostly depends on the number of river discharge measurements used for rating

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11

Bruni, Carlo. "Modelling of Flow Behaviour of Magnesium Alloys." Key Engineering Materials 716 (October 2016): 360–67. http://dx.doi.org/10.4028/www.scientific.net/kem.716.360.

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The present investigation aims at studying the flow behaviour of magnesium alloys under different conditions in terms of temperature, deformation velocities and deformation. The modelling approach was based on a proposed equation to model the shape of each flow curve through different variables. The modelled flow curves were subsequently compared with those obtained with experiments. The models were validated on flow curves not used in the building stage. It was observed that, for low temperature values, high deformation velocities and deformations the final part of the flow curve has to be ad

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12

Quetting, Florian, Pavel Hora, and Karl Roll. "Modelling of Strain Hardening Behaviour of Sheet Metals for Stochastic Simulations." Key Engineering Materials 504-506 (February 2012): 41–46. http://dx.doi.org/10.4028/www.scientific.net/kem.504-506.41.

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In current forming simulations, Ghosh or Hockett-Sherby extrapolation functions are used to model strain hardening effects of sheet metals. When it comes to stochastic simulations, the respective parameters have to be recalculated according to the scattering of the mechanical material properties like yield or tensile strength. As present stochastic samplings for deep drawing simulations only consider yield strength and tensile strength, it is non-trivial securing the extrapolated area of strain hardening curves due to lack of data beyond uniform strain. It is current practice to improve the de

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13

Sato, Hiroyuki. "Extrapolation of Imaginal Minimum Creep Rate in Compression by a Concept of SATO-Index." Key Engineering Materials 741 (June 2017): 99–104. http://dx.doi.org/10.4028/www.scientific.net/kem.741.99.

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Creep characteristics of alloys and compounds have been evaluated mainly by the minimum creep rate or the steady-state creep rate, and by its stress and temperature dependences. In some cases, however, direct comparison of the minimum creep rate or the steady-state creep rate are not practically easy due to difficulties of experiment, i.e., a long duration of primary stage of creep deformation. The minimum creep rates are not always precise representative value, which is directly evaluated from experiments. It should be valuable, if one could estimate the minimum creep rate from creep curve in

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14

Constantino, Reginaldo. "Estimating Global Termite Species Richness Using Extrapolation." Sociobiology 65, no. 1 (2018): 10. http://dx.doi.org/10.13102/sociobiology.v65i1.1845.

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Cumulative species description curves since 1758 are given for all termites of the world and for each biogeographical region (Australian, Ethiopian, Nearctic, Neotropical, Oriental, Palearctic, and Papuan). A cumulative description curve is also given for world genera. Estimation by maximum likelihood using the Michaelis-Menten model suggests a maximum of 5366 ± 175 species (p < 2.2E-16) and 704 ± 77 genera (p < 4.387E-13). Model fitting was poor for most individual biogeographical regions, with the exception of the Ethiopian region (estimate = 1295 ± 57 species, p < 2.2E-16). World W

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15

Maruyama, K., and H. Oikawa. "An Extrapolation Procedure of Creep Data for St Determination: With Special Reference to Cr-Mo-V Steel." Journal of Pressure Vessel Technology 109, no. 1 (1987): 142–46. http://dx.doi.org/10.1115/1.3264846.

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A predictive rule for long-term creep data, necessary to determine St of the ASME Code, was proposed with special reference to a Cr-Mo-V steel. This rule can predict long-term creep curves as well as rupture lives. A creep curve three hundred times longer than the longest test was estimated without unreasonable extrapolation.

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Aerts, JG, JM Bogaard, SE Overbeek, AF Verbraak, and P. Thio. "Extrapolation of methacholine log-dose response curves with a Cumulative Gaussian Distribution function." European Respiratory Journal 7, no. 5 (1994): 895–900. http://dx.doi.org/10.1183/09031936.94.07050895.

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Methacholine provocation tests are aimed at determining bronchial responsiveness. Recent investigations stress the importance of considering the entire log-dose response curve, yielding not only the provocative dose producing a 20% change in forced expiratory volume in one second (FEV1) (PC20), but also the plateau value and the steepest slope of the curve (reactivity). In three control subjects and seven patients with mild to moderate asthma, we have obtained methacholine log-dose response curves in which a plateau was reached. A new model, the Cumulative Gaussian Distribution (CGD) function

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17

Chen, Junfu, Zhiping Guan, Pinkui Ma, Zhigang Li, and Dan Gao. "Experimental extrapolation of hardening curve for cylindrical specimens via pre-torsion tension tests." Journal of Strain Analysis for Engineering Design 55, no. 1-2 (2019): 20–30. http://dx.doi.org/10.1177/0309324719887863.

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The hardening curve for cylindrical specimens determined by conventional uniaxial tension tests generally corresponds to a relatively narrow strain range due to the occurrence of necking. To achieve the hardening curve within a large strain range, in this study, the multi-specimen tension tests with pre-torsion are developed through extrapolating the hardening curve from the stress–strain data of cylindrical specimens with various magnitudes of pre-torsion strains. The calculation of pre-strain of twisted specimen needs to be addressed for the multi-specimen tension tests. The three calculatio

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18

Sunanda, Das, and C. Chattopadhyaya M. "Effect of buffers and ionic strength on the stability constant of complexes of iron(III) with salicylic acid and its derivatives." Journal of Indian Chemical Society Vol. 83, Sep 2006 (2006): 922–24. https://doi.org/10.5281/zenodo.5830139.

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Department of Chemistry, C. M. P. Degree College, Allahabad-211 002, Uttar Pradesh, India Electrochemical Sensor Laboratory, Department of Chemistry, University of Allahabad, Allahabad-211 002, Uttar Pradesh, India <em>E-mail </em>: sunanda.das@gmail.com, mcc46@rediffmail.com <em>Manuscript received 21 January 2002, revised 13 June 2006, accepted 13 June 2006</em> The 1 : 1 complex formed by lron(III) with salicylic acid and Its seven derivatives were studied by spectrophotometry and the effect of ph thalate-HCl and KCI-HCI buffers on the value of stability constants of 1 : 1 complex determine

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19

Sato, Hiroyuki, Kosuke Omote, and Akira Sato. "Extrapolation of Creep Curve and Creep Rate by Strain Acceleration Parameter in Al-Mg Solid Solution Alloys." Materials Science Forum 794-796 (June 2014): 307–12. http://dx.doi.org/10.4028/www.scientific.net/msf.794-796.307.

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It has been widely accepted that the creep characteristics at high temperatures are mainly evaluated by a minimum creep rate. Although, a shape of creep curve may vary depending on deformation conditions, the apparent steady state or minimum creep rates be the same. Thus,for detailed analysis and prediction of creep behavior, other values which reflect the shape of each creep curve should be considered. For the purpose, authors have proposed Sato’s strain- acceleration-parameter (Strain Acceleration and Transition Objective index, SATO-index) which reflects strain rate change during creep defo

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20

Farouki, Rida T. "Accurate Real-time CNC Curve Interpolators Based Upon Richardson Extrapolation." Computer-Aided Design 135 (June 2021): 103005. http://dx.doi.org/10.1016/j.cad.2021.103005.

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21

Wang, Zhi Tao, Bing Bai, Shu Ying Li, Qing Cai Yang, and Meng Qi Wang. "Compressor Performance Curve Extrapolation Method Based on the Similarity Theory." Applied Mechanics and Materials 672-674 (October 2014): 1545–49. http://dx.doi.org/10.4028/www.scientific.net/amm.672-674.1545.

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Due to the fact that the low speed pump similarity theory is only applicable to incompressible fluid, this theory cannot be used for extrapolation of compressor performance curve. Considering the compressibility of working medium; therefore, this paper has modified the similarity theory and put forward a new index relationship equation. The two low speed performance lines which are already known were used to get the similar working points and extrapolate the performance lines through the optimization method. Compared with the existing performance lines, the results show that the method is simp

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22

Lu, Li Bin, Ding Xin Chen, Guo Dong Jin, Rong Ming Li, and Ying Jie Gao. "Ultrasonic Positioning Using Curve-Fitting Extrapolation and Redundant Information Fusion." Applied Mechanics and Materials 105-107 (September 2011): 1851–55. http://dx.doi.org/10.4028/www.scientific.net/amm.105-107.1851.

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To study the problem of high precision, the reason why error appears in the ultrasonic positioning process is analyzed. To decrease the effect of error, this paper raises the algorithm of curve-fitting extrapolation and redundant information fusion. The experiment and contrast on precision between this algorithm and other classical ones demonstrate that, the new algorithm could effectively control measurement errors and raise the precision of ultrasonic positioning.

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23

Kim, Choongrak, Changkon Hong, and Meeseon Jeong. "Simulation-Extrapolation via the Bezier Curve in Measurement Error Models." Communications in Statistics - Simulation and Computation 29, no. 4 (2000): 1135–47. http://dx.doi.org/10.1080/03610910008813657.

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Kim, J., J. Suh, Hartmut Hoffmann, and Roland Golle. "Determination of Uniaxial Flow Stress Curve Using Aero-Bulge Test for Very Thin Copper Sheet." Advanced Materials Research 264-265 (June 2011): 608–13. http://dx.doi.org/10.4028/www.scientific.net/amr.264-265.608.

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Determination of the flow stress curve is an important step for precisely describing material behavior in Finite Element simulations. The flow stress curve is generally determined by taking a uniaxial tensile test as a standard. In the case of very thin sheet, since the fracture is generated at a low strain, there is not enough uniaxial data obtained to be applied in the FE simulation. The reason for this is that charactering plastic deformation at a large strain values by extrapolating a flow stress curve which is based on insufficient measurement data is highly susceptible to error. Bulge te

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Alves, E. C., M. M. Sales, and P. M. F. Viana. "Data Extrapolation Method for The Dynamic Increasing Energy Test: SEM-CASE." Soils and Rocks 39, no. 2 (2016): 177–87. http://dx.doi.org/10.28927/sr.392177.

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The dynamic increasing energy test has been widely used in pile load tests in Brazil in recent years. However, the ultimate strength of the single-foundation system is not mobilized in most of the tests because of various factors. In some cases, the equipment available cannot attain the necessary kinetic energy, or the structural element presents initial imperfections/ruptures. In this study, the authors present a method for extrapolating the mobilized static resistance vs. maximum displacement curve, which is obtained using the dynamic increasing energy test (DIET). Using the force and veloci

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Sutyrina, E. N., and T. I. Antonova. "SRTM Data Application for Extrapolation of Rating Curves (On the Example of the Iya River at the Tulun Gauge)." Bulletin of Irkutsk State University. Series Earth Sciences 41 (2022): 140–50. http://dx.doi.org/10.26516/2073-3402.2022.41.140.

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The manuscript discusses the method developed by the authors for restoring the cross-sectional area curve and extrapolate rating curves for the Iya River at the Tulun gauge, using the Shuttle Radar Topography Mission (SRTM) data. As part of the work, the systematic correction for the study area was determined to recalculate altitudes from a digital terranean model according to SRTM topographic data to the Baltic Height System. The river width data from SRTM-based information after systematic correction are in good agreement with the width from large-scale satellite images as well as with the f

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27

Prentice, Justin Steven Calder. "Evaluating a double integral using Euler's method and Richardson extrapolation." Lietuvos matematikos rinkinys 65 (December 10, 2024): 39–52. https://doi.org/10.15388/lmd.2024.38091.

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We transform a double integral into a second-order initial value problem, which we solve using Euler's method and Richardson extrapolation. For an example we consider, we achieve accuracy close to machine precision (~10-13). We find that the algorithm is capable of determining the error curve for an arbitrary cubature formula, and we use this feature to determine the error curve for a Simpson cubature rule. We also provide a generalization of the method to the case of nonlinear limits in the outer integral.

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WHITE, P. A., and D. M. SCOTT. "EXAMINATION OF SOUNDING CURVE EXTRAPOLATION USED BY THE OFFSET WENNER SYSTEM1." Geophysical Prospecting 36, no. 2 (1988): 194–200. http://dx.doi.org/10.1111/j.1365-2478.1988.tb02159.x.

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29

Kordonskii, Kh B., and M. M. Larin. "Substantiation of extrapolation of the fatigue curve to longer test bases." Strength of Materials 18, no. 11 (1986): 1458–61. http://dx.doi.org/10.1007/bf01524251.

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Diekmann, Uwe, Alex Miron, and Andreea Trasca. "Hybrid Modeling of Materials Properties for Improved CAE-Simulations." Materials Science Forum 854 (May 2016): 163–66. http://dx.doi.org/10.4028/www.scientific.net/msf.854.163.

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The new MatPlus software supports the multi-dimensional modelling of materials properties using different data sources. Extensive mathematical functions allow curve fitting of data from different sources to any constitutive models and selectively combining models and datapoints along different dimensions. Physically consistent extrapolation of measured data within the complete multi-dimensional parametric space can be achieved. An integrated library of models can be extended by the user and already contains many popular equations like Hensel-Spittel and Zerilli-Armstrong for flow curves.

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Burrow, Anthony, E. Baron, Christopher R. Burns, et al. "Extrapolation of Type Ia Supernova Spectra into the Near-infrared Using Principal Component Analysis." Astrophysical Journal 967, no. 1 (2024): 55. http://dx.doi.org/10.3847/1538-4357/ad3c45.

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Abstract We present a method of extrapolating the spectroscopic behavior of Type Ia supernovae (SNe Ia) in the near-infrared (NIR) wavelength regime up to 2.30 μm using optical spectroscopy. Such a process is useful for accurately estimating K-corrections and other photometric quantities of SNe Ia in the NIR. A principal component analysis is performed on data consisting of Carnegie Supernova Project I & II optical and NIR FIRE spectra to produce models capable of making these extrapolations. This method differs from previous spectral template methods by not parameterizing models strictly

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Di Baldassarre, Giuliano, and Pierluigi Claps. "A hydraulic study on the applicability of flood rating curves." Hydrology Research 42, no. 1 (2011): 10–19. http://dx.doi.org/10.2166/nh.2010.098.

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Several hydrological studies have shown that river discharge records are affected by significant uncertainty. This uncertainty is expected to be very high for river flow data referred to flood events, when the stage–discharge rating curve is extrapolated far beyond the measurement range. This study examines the standard methodologies for the construction and extrapolation of rating curves to extreme flow depths and shows the need of proper approaches to reduce the uncertainty of flood discharge data. To this end, a comprehensive analysis is performed on a 16km reach of the River Po (Italy) whe

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Sedira, Lakhdar, Mohsein Tedjini, Belhi Guerira, and Kamel Meftah. "On the use of the stepped isostress method in the prediction of creep behavior of polyamide 6." Frattura ed Integrità Strutturale 16, no. 62 (2022): 336–48. http://dx.doi.org/10.3221/igf-esis.62.24.

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The stepped isostress method (SSM) is an advanced technique which allows the prediction of the long-term behavior and enables the construction of creep master curves of materials with short-term experimental tests. However, the performance of this method is highly dependent on the numerical model and the time spent in data processing. In this paper, the effect of the extrapolation techniques on the creep curves trend is investigated using the SSM data of Polyamide test. Three extrapolation functions are used to offset the delay of the stress history: polynomial, power and exponential functions

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Zohdy, A. A. R. "A new method for the automatic interpretation of Schlumberger and Wenner sounding curves." GEOPHYSICS 54, no. 2 (1989): 245–53. http://dx.doi.org/10.1190/1.1442648.

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A fast iterative method for the automatic interpretation of Schlumberger and Wenner sounding curves is based on obtaining interpreted depths and resistivities from shifted electrode spacings and adjusted apparent resistivities, respectively. The method is fully automatic. It does not require an initial guess of the number of layers, their thicknesses, or their resistivities; and it does not require extrapolation of incomplete sounding curves. The number of layers in the interpreted model equals the number of digitized points on the sounding curve. The resulting multilayer model is always well‐

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LEONARD, J., M. MIETTON, H. NAJIB, and P. GOURBESVILLE. "Rating curve modelling with Manning's equation to manage instability and improve extrapolation." Hydrological Sciences Journal 45, no. 5 (2000): 739–50. http://dx.doi.org/10.1080/02626660009492374.

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Vickers, A., and X. Leng. "MSR72 The Impact of Life Expectancy Exclusion Criteria on Survival Curve Extrapolation." Value in Health 26, no. 12 (2023): S406. http://dx.doi.org/10.1016/j.jval.2023.09.2131.

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Gupta, Manish Kumar, and Nilamber Kumar Singh. "Post Necking Behaviour and Hardening Characterization of Mild Steel." Solid State Phenomena 319 (June 14, 2021): 7–12. http://dx.doi.org/10.4028/www.scientific.net/ssp.319.7.

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This paper investigates the post necking phenomenon in mild steel using six different hardening laws (Hollomon, Swift, Ludwik, Ghosh, Voce and Hockett-Sherby) by extrapolation method. This is carried out through the finite element simulation on tensile deformation of a mild steel specimen under quasi-static condition. Reference flow curves are obtained analytically and found helpful for the numerical simulation. The material parameters of the above hardening laws are evaluated by curve fitting method based on the pre necking experimental data and their suitability is examined before and after

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38

Warley, Russ. "Modeling the Pressure Decay Curve of a Capillary Rheometer." Applied Rheology 13, no. 1 (2003): 8–13. http://dx.doi.org/10.1515/arh-2003-0001.

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Abstract A mathematical model for the transient pressure response in a capillary rheometer is implemented and validated with experimental data for both a natural rubber compound and a silicone rubber compound. The pressure decay curve after the cessation of motion of the instrument piston is shown to be consistent with the extrapolation of the power law model to shear rates two decades lower than experimentally attainable in the instrument employed. The model is useful for extending the range of the instrument in question by approximating material properties at shear rates lower than attainabl

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Ayeni, B. J. "Parameter Estimation for Hyperbolic Decline Curve." Journal of Energy Resources Technology 111, no. 4 (1989): 279–83. http://dx.doi.org/10.1115/1.3231437.

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The problem of estimating the nonlinear parameters associated with the hyperbolic decline curve equation is considered in this paper. Estimation equations are developed to estimate these nonlinear parameters. The condition under which the results can be used to predict future oil productions is examined using actual field data. An approximate linear term is obtained from the nonlinear hyperbolic equation through Taylor’s series expansion, and the optimum parameter values are determined by employing the method of least squares through an iterative process. The estimated parameters are incorpora

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Millard, R. K. "Indicator-dilution dispersion models and cardiac output computing methods." American Journal of Physiology-Heart and Circulatory Physiology 272, no. 4 (1997): H2004—H2012. http://dx.doi.org/10.1152/ajpheart.1997.272.4.h2004.

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The general theory of indicator-dilution methods provides a basis for computing improved cardiac output estimates. Interpretation is via indicator-dispersion modeling with Brownian motion of drifting particles. Detected curves indicate the distribution of passage times from the injection site: the local density random walk (LDRW) function of a Wiener process. Fitting the LDRW to 70 dye curves by nonlinear regression for examples, I show how all possible undistorted curves can, in principle, be simulated. I show via semilogarithmic plots that conventional exponential decay constructs systematic

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Wu, Siqi, and Paul Resnick. "Calibrate-Extrapolate: Rethinking Prevalence Estimation with Black Box Classifiers." Proceedings of the International AAAI Conference on Web and Social Media 18 (May 28, 2024): 1634–47. http://dx.doi.org/10.1609/icwsm.v18i1.31414.

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In computational social science, researchers often use a pre-trained, black box classifier to estimate the frequency of each class in unlabeled datasets. A variety of prevalence estimation techniques have been developed in the literature, each yielding an unbiased estimate if certain stability assumption holds. This work introduces a framework to rethink the prevalence estimation process as calibrating the classifier outputs against ground truth labels to obtain the joint distribution of a base dataset and then extrapolating to the joint distribution of a target dataset. We call this framework

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Phagoo, SB, RA Watson, NB Pride, and M. Silverman. "Accuracy and sensitivity of the interrupter technique for measuring the response to bronchial challenge in normal subjects." European Respiratory Journal 6, no. 7 (1993): 996–1003. http://dx.doi.org/10.1183/09031936.93.06070996.

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The interrupter technique is a non-invasive method for measuring airway calibre. Since the calculation of interrupter resistance (Rint) is critically dependent upon the analysis of the mouth pressure/time (Pmo(t)) curve obtained after flow interruption, we wanted to assess the relative merits of four different analyses of Pmo(t) curves, obtained under basal conditions and following methacholine-induced airway narrowing, in 10 healthy adults. Four methods of analysing the Pmo(t) curves were used to calculate Rint values: RintC-a smooth curve fit with back-extrapolation; RintL-two-point linear f

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Zimmermann, Ivan Ricardo, and Solange Borges. "PP78 Data Extrapolation With Survival Curves: An Alternative Approach With Aggregated Data." International Journal of Technology Assessment in Health Care 40, S1 (2024): S87. https://doi.org/10.1017/s0266462324002472.

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IntroductionRecently, there has been considerable emphasis on survival curves for data extrapolation, especially in the field of economic evaluation in oncology. Common methods for adjusting survival curves are complex and heavily reliant on individual patient data (IPD), which may not be feasible for health technology assessment (HTA). We propose an alternative method for survival curve extrapolation with direct adjustment to aggregated data.MethodsCommon parametric survival analysis models were tested: exponential, Weibull, log-normal, log-logistic, generalized gamma, and Gompertz. We had ac

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Liu, Ying, Ming Yue Zhai, Li Peng Lu, and Yong Xiao Liu. "An Improved Method for Short-Term Power Load Forecasting Based on Fractal Extrapolation." Applied Mechanics and Materials 229-231 (November 2012): 1077–80. http://dx.doi.org/10.4028/www.scientific.net/amm.229-231.1077.

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Load forecasting based on fractal extrapolation is a very important method. However, traditional methods exists several disadvantages such as vertical scale factor difficult to calculate, low-precision, difficult to use. Therefore, a method is proposed combined with self-similarity theory and fractal extrapolation theory to solve the above problems. In this paper, the self-similarity of electrical load historical data is analyzed using multi-resolution wavelet firstly. Then use the Hurst parameter values to calculate vertical scaling factors based on the values of Hurst parameter and the other

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Patel, Anik R., Mark Ray, Yael A. Rodriguez-Guadarrama, et al. "Statistical Challenges from Trials of Potentially Curative Treatments: Validation of Cure Assumptions When Analyzing Zuma-7 Follow-up Data of Axi-Cel and Standard of Care Therapy." Blood 142, Supplement 1 (2023): 6899. http://dx.doi.org/10.1182/blood-2023-181255.

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Introduction: ZUMA-7 is the largest randomized controlled trial (RCT) for chimeric antigen receptor (CAR) T-cell therapy which compared axicabtagene ciloleucel (Axi-cel) to standard of care (SoC) including autologous stem cell transplant (ASCT) for the treatment of relapsed or refractory DLBCL. Both arms of ZUMA-7 contained potentially curative treatments; however, differences in the treatment completion rate (94% received axi-cel and 36% received ASCT) and timing to receive definitive treatment led to differences in the extent and timing of cure. Furthermore, 57% of the SoC arm received poten

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Yang, Jie, Yachun Tang, and Huabin Duan. "Application of Fuzzy Support Vector Machine in Short-Term Power Load Forecasting." Journal of Cases on Information Technology 24, no. 5 (2022): 1–10. http://dx.doi.org/10.4018/jcit.295248.

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The realization of short-term load forecasting is the basis of system planning and decision-making, and it is an important index to evaluate the safety and economy of power grid.In order to accurately predict the power load under the influence of many factors, a new short-term power load prediction method based on fuzzy support vector machine and similar daily linear extrapolation is proposed, which combinesthe method of fuzzy support vector machine and linear extrapolation of similar days. The method first selects similar days according to the effect of integrated weather and time on load. Th

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Gilad, Erez, Yael Neumeier, and Chen Dubi. "Dead time corrections on the Feynman-Y curve using the backward extrapolation method." Journal of Nuclear Science and Technology 55, no. 2 (2017): 229–37. http://dx.doi.org/10.1080/00223131.2017.1394231.

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Vickers, Adrian. "An Evaluation of Survival Curve Extrapolation Techniques Using Long-Term Observational Cancer Data." Medical Decision Making 39, no. 8 (2019): 926–38. http://dx.doi.org/10.1177/0272989x19875950.

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Objectives. Uncertainty in survival prediction beyond trial follow-up is highly influential in cost-effectiveness analyses of oncology products. This research provides an empirical evaluation of the accuracy of alternative methods and recommendations for their implementation. Methods. Mature (15-year) survival data were reconstructed from a published database study for “no treatment,” radiotherapy, surgery plus radiotherapy, and surgery in early stage non–small cell lung cancer in an elderly patient population. Censored data sets were created from these data to simulate immature trial data (fo

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Alfassi, Z. B., F. Groppi, M. L. Bonardi, O. Presler, and U. German. "Interpolation and extrapolation of gamma detection efficiency curve as a function of distance." Journal of Radioanalytical and Nuclear Chemistry 268, no. 3 (2006): 639–40. http://dx.doi.org/10.1007/s10967-006-0219-1.

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Xu, Yan, Baojian Wu, Xinrui Jiang, Haomiao Guo, and Feng Wen. "Experimental Measurement of Absorption Coefficients for Effective Erbium-Doping Concentration to Optimize Few-Mode Erbium-Doped Fiber Amplifiers with Low Differential Mode Gain." Photonics 8, no. 6 (2021): 185. http://dx.doi.org/10.3390/photonics8060185.

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According to the analytical expression for modal gain of few-mode erbium-doped fiber amplifiers (FM-EDFAs), we propose a method of measuring the absorption loss coefficients of few-mode signals in few-mode erbium-doped fibers (FM-EDFs) by extrapolating the mode–gain curve dependent on the average population inversion. The absorption loss coefficient of an FM-EDF was measured in our experimental platform and used to estimate the effective erbium-ion doping concentration. The feasibility of the extrapolation method was verified by simulation and comparison with the transmission method. Furthermo

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