Time-Dependent Predictors in Clinical Research, Performance of a Novel Method

2010 ◽  
Vol 17 (6) ◽  
pp. e202-e207 ◽  
Author(s):  
Joan van de Bosch ◽  
Roya Atiqi ◽  
Ton J Cleophas
2020 ◽  
Vol 162 (9) ◽  
pp. 2145-2153
Author(s):  
Nobuhiko Arai ◽  
Katsuhiro Mizutani ◽  
Takashi Horiguchi ◽  
Takenori Akiyama ◽  
Satoshi Takahashi ◽  
...  

2009 ◽  
Vol 91 (6) ◽  
pp. 456-459 ◽  
Author(s):  
T Arulampalam ◽  
S Paterson-Brown ◽  
AJ Morris ◽  
MC Parker

Natural orifice transluminal endoscopic surgery (NOTES) has generated healthy and vigorous debate about the introduction of an entirely novel method of surgical therapy. Although there are many reasons for scepticism, there is undoubted interest in this field from both the medical profession and general public. Those Associations currently involved in laparoscopic and endoscopic surgery wish to safeguard patients and the reputation of the profession by issuing clear guidance and support for those wishing to undertake NOTES. The purpose of this document is to review the current status of both NOTES and hybrid NOTES, while at the same time identifying obstacles in both clinical research and training. Furthermore, it aims to provide a consensus statement on behalf of the main UK specialty associations involved in this field of surgery. The primary aim of this consensus statement is to provide a framework within which to develop, safely and effectively, what must still be considered an experimental technique.


Author(s):  
Joseph J Webber ◽  
Herbert E Huppert

Summary In a recent article, Ball and Huppert (J. Fluid Mech., 874, 2019) introduced a novel method for ascertaining the characteristic timescale over which the similarity solution to a given time-dependent nonlinear differential equation converges to the actual solution, obtained by numerical integration, starting from given initial conditions. In this article, we apply this method to a range of different partial differential equations describing propagating gravity currents of fixed volume as well as modifying the techniques to apply to situations for which convergence to the numerical solution is oscillatory, as appropriate for gravity currents propagating at large Reynolds numbers. We investigate properties of convergence in all of these cases, including how different initial geometries affect the rate at which the two solutions agree. It is noted that geometries where the flow is no longer unidirectional take longer to converge. A method of time-shifting the similarity solution is introduced to improve the accuracy of the approximation given by the similarity solution, and also provide an upper bound on the percentage disagreement over all time.


2006 ◽  
Vol 10 (2) ◽  
pp. 182-185 ◽  
Author(s):  
Jeffrey L. Saver ◽  
Chelsea Kidwell ◽  
Marc Eckstein ◽  
Bruce Ovbiagele ◽  
Sidney Starkman

2017 ◽  
Vol 231 (2) ◽  
Author(s):  
Alexander B. Doktorov

AbstractThe relations have been analytically derived for recombination yields of radical pairs with different precursor states and by different reaction channels (singlet and/or triplet) in arbitrary magnetic and microwave fields. Recombination of two particles from a radical pair mostly with anisotropic reactivity is assumed to take place in a narrow reaction zone, and relative translation motion including rotation of reactants may be an arbitrary stochastic process. In addition, the approach may take into account the time-dependent spin Hamiltonian. The novel method for the calculation of recombination yields is suggested, and general expressions for recombination yields are derived for strong singlet-triplet dephasing. Some of the relations and expressions are the basis of the results given in the literature and their generalization to the case of non-model reacting systems that does not use simplification of reactants structure and reactants motion in solutions.


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