Background. The instantaneous hyperemic flow-versus-pressure (i-HFVP) slope index is a new method of assessing maximal coronary conductance and canbe used as an alternative to conventional measures of coronary reserve. The i-HFVP slope index is determined by measuring the slope of thelinear diastolic segment of the relation between instantaneous aortic pressure and hyperemic coronary flow. Meth...

Model selection is a general paradigm which includes many statistical problems. One of the most fruitful and popular approaches to carry it out is the minimization of a penalized criterion. Birgé and Massart (2006) have proposed a promising data-driven method to calibrate such criteria whose penalties are known up to a multiplicative factor: the “slope heuristics”. Theoretical works validate th...

The goal of this study was to develop, on a rational basis, an index of the intrinsic diastolic elastic properties of the left ventricle. A relatively simple analytic model employing a thin-walled spherical geometry coupled with an approximate formulation of a two-dimensional constitutive relation, was used to examine the primary determinants of the pressure-volume relationship of the intact he...

We show that with common knowledge and a common rate of time preference, the potential loser can always avoid wasteful conflict through a time-consistent series of small concessions. We examine how the failure of each of these assumptions may explain why conflicts arise. We also debate which actions may be helpful in such unfortunate circumstances. 1 We would like to thank NSF Grants SES-03-147...

The slope filtration theorem gives a partial analogue of the eigenspace decomposition of a linear transformation, for a Frobenius-semilinear endomorphism of a finite free module over the Robba ring (the ring of germs of rigid analytic functions on an unspecified open annulus of outer radius 1) over a discretely valued field. In this paper, we give a third-generation proof of this theorem, which...

This paper addresses the analysis of slope-parametric hybrid automata: nding conditions on the slopes of the automaton variables, for some safety property to be veriied. The problem is shown decidable in some practical situations (e.g. nding the running speeds of tasks in a real time application, for all tasks to respect their deadlines). The resolution technique generalizes polyhedral-based sy...

We consider the method of alternating projections for finding a point in the intersection of two possibly nonconvex closed sets. We present a local linear convergence result that makes no regularity assumptions on either set (unlike previous results), while at the same time weakening standard transversal intersection assumptions. The proof grows out of a study of the slope of a natural nonsmoot...