The global results show that several parameters have non-trivial interaction effects i. With this screening, we determined a subset of 25 parameters out of 96 to include in our global SA. They recognized the sclera and transparent cornea running flushly as the outer coating of the eye, with an inner layer with pupil, and a fluid at the centre. Franois Pourfour du Petit. The full list of reactions, rate constants, and model equations can be found in S1 Appendix. A mathematical model for in vitro coagulation of blood: role of platelet count and inhibition. Medical Council of Mauritius. Polish ophthalmology dates to the 1.
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Local sensitivity analysis. Gabriel Lieu.
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S1 Appendix. He introduced a flap operation for treatment of cataracts Beers operation, as well as popularizing the instrument used to perform the surgery Beers knife. While computationally taxing, Monte Carlo sampling is easily implemented and applicable to all models, including those that contain non-linear interactions among model parameters [ 33 ].
For example, suppose that in the k th trajectory a step in the j th model parameter occurs between sample points and. Arterioscler Thromb Vasc Biol.
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In addition, we found that there are strong negative correlations among certain thrombin metrics.
Elizondo P, Fogelson AL. This site, funded by an educational grant from Atrium Medical Corporation, provides professional continuing education for credit in. Sobol I. Because of this surprising behavior of system outputs, we quantified parameters by the absolute difference they produced in each metric when considering their extremal values i.
Biography of Dr. Uncertainty and sensitivity analyses Sensitivity analysis SA refers to a broad set of mathematical approaches designed to quantify how variation in model outputs may be attributed to model inputs e.
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Extensions to this model include detailed fluid dynamics together with a continuum model of platelet aggregation [ 1718 ].
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With this screening, we determined a subset of 25 parameters out of 96 to include in our global SA. They recognized the sclera and transparent cornea running flushly as the outer coating of the eye, with an inner layer with pupil, and a fluid at the centre.
Comparative interactions of factor IX and factor IXa with human platelets. A methodology for performing global uncertainty and sensitivity analysis in systems biology.
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The sensitivity of mathematical models to biophysical attributes, i.
This is consistent with static experiments which show significant removal of thrombin by AT inhibition [ 5556 ]. In the previous sections, we examined both the local and global sensitivity resulting from variations in three classes of parameters: initial plasma levels, kinetic rate constants, and platelet characteristics.
How to avoid a perfunctory sensitivity analysis. For each metric, we ranked the parameters by considering their relative absolute difference.
S1 Fig. What does it take to make a perfect clot?
The aim of this paper is twofold: (1) to conceptually understand membership dynamics in the open source software (OSS) community, and (2) to explore how.
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When we condition on fast thrombin production, Fig 12B and 12Dwe observe very low values for,and N 5with higher values for,and Z As one of eight emigrant directors in the Faculty of Medicine at the University of Istanbul, he built a modern clinic and trained students.
Local versus global analysis: What have we learned?
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The only exception was non-monotonic variation in the lag time with the platelet count PL UP and adhesion rate k adh. Such methods typically assign importance to inputs by their impact on the approximate derivatives of outputs with respect to a change in the input [ 33 — 35 ].
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Author Contribution. We report only these three cases due to the monotonicity in the model responses to changes in plasma levels see Methods section.
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Importance of VIIIa inactivation in a mathematical model for the formation, growth, and lysis of clots. In the previous sections, we examined both the local and global sensitivity resulting from variations in three classes of parameters: initial plasma levels, kinetic rate constants, and platelet characteristics. This analysis identifies parameters that are potential candidates for the global SA, but selection of this subset is not informed by interaction effects. In Fig 13we show these projections, with the result for each parameter class overlaid on top of one another, where plasma levels are in black, platelet characteristics are in blue, kinetic rate constants are in green, and the subset of all classes is red.