Quantification of immunohistochemically (IHC) labelled tissue sections typically yields semi-quantitative results. Visualising infrared (IR) 'tags', with an appropriate scanner, provides an alternative system where the linear nature of the IR fluorophore emittance enables realistic quantitative fluorescence IHC (QFIHC). Importantly, this new technology enables entire tissue sections to be scann...

Abstract Background Left ventricular (LV) fibrosis has a key role in arrhythmogenesis mitral valve prolapse (MVP) patients. Cardiac magnetic resonance (CMR) demonstrated able to clearly identify LV with the post-contrast late gadolinium enhancement (LGE) images. Despite pivotal of arrhythmogenesis, quantification and identification reproducible method accurately measure LGE arrhythmic MVP patie...

Let X be a nonempty, compact, convex set in R and let f be an upper semicontinuous mapping from X to the collection of nonempty, compact, convex subsets of R. It is well known that such a mapping has a stationary point on X; i.e., there exists a point X such that its image under f has a nonempty intersection with the normal cone of X at the point. In the case where, for every point in X, it hol...

BACKGROUND Left ventricle (LV) 3D structural data can be easily obtained using standard transesophageal echocardiography (TEE) devices but quantitative pre- and intraoperative volumetry and geometry analysis of the LV is presently not feasible in the cardiac operation room (OR). Finite element method (FEM) modelling is necessary to carry out precise and individual volume analysis and in the fut...

In this paper we address the problem of nuclear segmentation in cancer tissue images, that is critical for specific protein activity quantification and for cancer diagnosis and therapy. We present a fully-automated morphology-based technique able to perform accurate nuclear segmentations in images with heterogeneous staining and multiple tissue layers and we compare it with an alternate semi-au...

Tracking entities, so that new or important information about that entities are caught, is a real challenge and has many applications (e.g., information monitoring, marketing,...). We are interesting in how to represent an entity profile to fulfill two purposes: 1. entity detection and disambiguation, 2. novelty and importance quantification. We propose an entity profile, which uses two languag...

The purpose of this paper is to prove a common generalization of a theorem due to T. W. Gamelin [3] and a theorem due to Z. Semadeni [5]. Both these results are generalizations of E. Bishop's abstract version of the well-known RudinCarleson theorem [2]. In the following X denotes a compact Hausdorff space, F a closed subset of X and C(A') and C(F) denote the spaces of all complex-valued functio...

If D is a bounded convex domain in C , then the work of Lempert [L] and Royden-Wong [RW] (see also [A]) show that given any point p ∈ D and any non-zero tangent vector v ∈ C at p, there exists a holomorphic map φ:U → D from the unit disk U ⊂ C into D passing through p and tangent to v in p which is an isometry with respect to the hyperbolic distance of U and the Kobayashi distance of D. Further...

In this paper we investigate the problem of optimal control of a Markov chain with a finite number of states when the control sets are compact in the metric space. The goal of the control is to maximize the average reward per unit step. For the case of finite control and state sets the existence of a stationary optimal policy was proved in [1] and [2]. In [3]-[5] it was proved that for a contro...

I just attended the 9th Structure in Complexity Theory Conference, which was in Amsterdam this year. 100% of the rst three papers in the proceedings ;?) were devoted to the study of semi-membership algorithms! In fact, during the last half-decade, there has been a marked surge of interest in semi-membership algorithms. The article below surveys some of the recent results from this research area...