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241“…The type of interaction was studied using the area under the survival curve ratios (AUC ratios) obtained by numerical integration. Comparison of the AUC ratio and the surviving fraction (SF) value after taxane alone was made using Student's t-test. …”
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242“…Whole pressure-volume curve was derived from numerical integration of the local slopes. The curve was fitted using an equation and we identified a numerical coefficient of the equation as an index of arterial stiffness (Arterial Pressure-volume Index, API). …”
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243“…The resulting fitting process is simple and about two orders of magnitude faster compared to methods based on numerical integration of the differential equations. We probe this method on different cell types recorded from rodent prefrontal cortex. …”
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244“…Numerical integration of mathematical models of heart cell electrophysiology provides an important computational tool for studying cardiac arrhythmias, but the abundance of available models complicates selecting an appropriate model. …”
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245“…Kinetic analyses were either carried out by direct fitting to simple first order equations or by numerical integration of sequential reactions. CONCLUSIONS: A classical Arrhenius activation energy of 148 kJmol(−1) has been determined for primary solubilisation, which is higher than the activation energy associated with historical measures of reaction severity. …”
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246por Chen, Jin, Gomez, Jose A., Höffner, Kai, Phalak, Poonam, Barton, Paul I., Henson, Michael A.“…Our solution procedure involves spatial discretization of the partial differential equation model followed by numerical integration of the resulting system of ordinary differential equations with embedded linear programs using DFBAlab, a MATLAB code that performs reliable and efficient dynamic FBA simulations. …”
Publicado 2016
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247por Wanasundara, Surajith N., Wesolowski, Michal J., Barnfield, Mark C., Waller, Michael L., Murray, Anthony W., Burniston, Maria T., Babyn, Paul S., Wesolowski, Carl A.“…RESULTS: CL (Tk-GV) from four samples/4 h and from nine samples/8 h, both accurately and precisely agreed with the standard, which was taken to be nine samples/8 h CL from (noncompartmental) numerical integration [CL (NI)]. The E2 method, four samples/4 h, and nine samples/8 h median CL values significantly overestimated the CL (NI) values by 4.9 and 3.8%, respectively. …”
Publicado 2016
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248Approximate parameter inference in systems biology using gradient matching: a comparative evaluation“…Aimed at reducing this cost, new concepts using gradient matching have been proposed, which bypass the need for numerical integration. This paper presents a recently established adaptive gradient matching approach, using Gaussian processes (GPs), combined with a parallel tempering scheme, and conducts a comparative evaluation with current state-of-the-art methods used for parameter inference in ODEs. …”
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249por Crowther, Michael J., Andersson, Therese M.‐L, Lambert, Paul C., Abrams, Keith R., Humphreys, Keith“…The extension to delayed entry requires a second set of numerical integration, beyond that required in a standard joint model. …”
Publicado 2015
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250“…The efficiency of the simulations is related to the collective dynamical properties of the original physical system that persist in the numerical integration to robustly guide the solution search even in the presence of numerical errors. …”
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251“…Alternatively, the model can be constructed using any modeling software that enables the use of numerical integration methods.…”
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252por Gómez, Andrés, Gómez, Pedro, Palacios, Daniel, Rodellar, Victoria, Nieto, Víctor, Álvarez, Agustín, Tsanas, Athanasios“…The dynamic and acoustic absolute kinematic velocities produced during the exercises were estimated by acoustic filter inversion and numerical integration and differentiation of the speech signal. …”
Publicado 2021
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253“…We argue in this paper that it is the use of an inaccurate numerical integration method in combination with the typically small sample sizes which causes such mixed models to fail for a great portion of tested genes. …”
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254por Pavlou, Menelaos, Qu, Chen, Omar, Rumana Z, Seaman, Shaun R, Steyerberg, Ewout W, White, Ian R, Ambler, Gareth“…We also propose estimators which do not require normality assumptions but require specification of the marginal distribution of the linear predictor and require the use of numerical integration. These estimators were also seen to perform very well under marginal normality. …”
Publicado 2021
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255por Addington, W Robert, Stephens, Robert E, Phelipa, Michael M, Widdicombe, John G, Ockey, Robin R“…IAP values were used to calculate the area under the curve (AUC) by the numerical integration of intravesicular pressure over time (cm H(2)O·s). …”
Publicado 2008
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256“…In the SPM the slow release component is attributed to the Ca(2+)-dependent refilling of the RRP from a Non-Releasable upstream Pool (NRP), whereas the PPM attributes slow release to a separate slowly-releasable vesicle pool. Using numerical integration we compared model predictions to data from mouse chromaffin cells. …”
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257“…METHODS: We propose a new approach based on numerical integration as an alternative to MC simulations to estimate the distribution of occasionally-consumed foods in sub-populations. …”
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258por Kovic, Bruno, Guyatt, Gordon, Brundage, Michael, Thabane, Lehana, Bhatnagar, Neera, Xie, Feng“…We will employ numerical integration to calculate mean incremental area under the curve between treatment groups in studies for health-related quality of life, along with total related error estimates, and a 95% CI around incremental area. …”
Publicado 2016
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259“…The term “Euler method” is motivated by the eponymous numerical integration scheme that calculates the value of a function at a future time step based on the current rate of change. …”
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260por Trinkle, Christine A., Broaddus, Richard N., Sturgill, Jamie L., Waters, Christopher M., Morris, Peter E.“…When applied to a sample of 50 patients on PCV with a non-zero rise time, we found that our equation estimated power within an average of 8.4% ± 5.9% (mean ± standard deviation) of the value obtained by numerical integration of the P–V loop. The other three equations estimated power with an error of 19.4% ± 12.9% (simplified Becher equation), 10.0% ± 6.8% (comprehensive Becher equation), and 16.5% ± 14.6% (van der Meijden equation). …”
Publicado 2022
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