Pulsatile lavage irrigator tip, a rare radiolucent retained foreign body in the pelvis: a case report

Retained foreign bodies after surgery have the potential to cause serious medical complications for patients and bring fourth serious medico-legal consequences for surgeons and hospitals. Standard operating room protocols have been adopted to reduce the occurrence of the most common retained foreign bodies. Despite these precautions, radiolucent objects and uncounted components/pieces of instruments are at risk to be retained in the surgical wound. We report the unusual case of a retained plastic pulsatile lavage irrigator tip in the surgical wound during acetabulum fracture fixation, which was subsequently identified on routine postoperative computed tomography. Revision surgery was required in order to remove the retained object, and the patient had no further complications

A topological classification of convex bodies

The shape of homogeneous, generic, smooth convex bodies as described by the Euclidean distance with nondegenerate critical points, measured from the center of mass represents a rather restricted class M_C of Morse-Smale functions on S^2. Here we show that even M_C exhibits the complexity known for general Morse-Smale functions on S^2 by exhausting all combinatorial possibilities: every 2-colored quadrangulation of the sphere is isomorphic to a suitably represented Morse-Smale complex associated with a function in M_C (and vice versa). We prove our claim by an inductive algorithm, starting from the path graph P_2 and generating convex bodies corresponding to quadrangulations with increasing number of vertices by performing each combinatorially possible vertex splitting by a convexity-preserving local manipulation of the surface. Since convex bodies carrying Morse-Smale complexes isomorphic to P_2 exist, this algorithm not only proves our claim but also generalizes the known classification scheme in [36]. Our expansion algorithm is essentially the dual procedure to the algorithm presented by Edelsbrunner et al. in [21], producing a hierarchy of increasingly coarse Morse-Smale complexes. We point out applications to pebble shapes.Comment: 25 pages, 10 figure

Irreducible triangulations of surfaces with boundary

A triangulation of a surface is irreducible if no edge can be contracted to produce a triangulation of the same surface. In this paper, we investigate irreducible triangulations of surfaces with boundary. We prove that the number of vertices of an irreducible triangulation of a (possibly non-orientable) surface of genus g>=0 with b>=0 boundaries is O(g+b). So far, the result was known only for surfaces without boundary (b=0). While our technique yields a worse constant in the O(.) notation, the present proof is elementary, and simpler than the previous ones in the case of surfaces without boundary

Martin Gardner's minimum no-3-in-a-line problem

In Martin Gardner's October, 1976 Mathematical Games column in Scientific American, he posed the following problem: "What is the smallest number of [queens] you can put on a board of side n such that no [queen] can be added without creating three in a row, a column, or a diagonal?" We use the Combinatorial Nullstellensatz to prove that this number is at least n, except in the case when n is congruent to 3 modulo 4, in which case one less may suffice. A second, more elementary proof is also offered in the case that n is even.Comment: 11 pages; lower bound in main theorem corrected to n-1 (from n) in the case of n congruent to 3 mod 4, minor edits, added journal referenc

Planar Graph Coloring with Forbidden Subgraphs: Why Trees and Paths Are Dangerous

We consider the problem of coloring a planar graph with the minimum number of colors such that each color class avoids one or more forbidden graphs as subgraphs. We perform a detailed study of the computational complexity of this problem. We present a complete picture for the case with a single forbidden connected (induced or non-induced) subgraph. The 2-coloring problem is NP-hard if the forbidden subgraph is a tree with at least two edges, and it is polynomially solvable in all other cases. The 3-coloring problem is NP-hard if the forbidden subgraph is a path, and it is polynomially solvable in all other cases. We also derive results for several forbidden sets of cycles

Factors Associated with Revision Surgery after Internal Fixation of Hip Fractures

Background: Femoral neck fractures are associated with high rates of revision surgery after management with internal fixation. Using data from the Fixation using Alternative Implants for the Treatment of Hip fractures (FAITH) trial evaluating methods of internal fixation in patients with femoral neck fractures, we investigated associations between baseline and surgical factors and the need for revision surgery to promote healing, relieve pain, treat infection or improve function over 24 months postsurgery. Additionally, we investigated factors associated with (1) hardware removal and (2) implant exchange from cancellous screws (CS) or sliding hip screw (SHS) to total hip arthroplasty, hemiarthroplasty, or another internal fixation device. Methods: We identified 15 potential factors a priori that may be associated with revision surgery, 7 with hardware removal, and 14 with implant exchange. We used multivariable Cox proportional hazards analyses in our investigation. Results: Factors associated with increased risk of revision surgery included: female sex, [hazard ratio (HR) 1.79, 95% confidence interval (CI) 1.25-2.50; P = 0.001], higher body mass index (fo

Advertising media strategies in the film industry

The primary aim of this article is to estimate the multiple determinants of film advertising expenditures in four important media, namely television, press, outdoor and radio, in the UK. First, television advertising, the leading film advertising medium, is examined as part of a system of equations, capturing the interdependences between advertising, the number of screens on which films are initially shown and box office revenues. Then a reduced form model is put forward to reveal the determinants of film advertising in the four media. While major distribution companies have different preferences for the use of the alternative advertising media, results highlight the importance of quality signals, such as critical reviews, in determining advertising expenditures in the film industry. Moreover, advertising expenditures can themselves be considered to offer potential cinema goers signals of film quality

Rio Grande isolated pools temperature

Dought and irrigation diversions result in streamflow intermittency and stranding of an endangered fish in the Rio Grande of New Mexico, USA. We collected temperatures of isolated pools (by date and time) that formed during streamflow intermittency in the Middle Rio Grande of New Mexico, USA, 2011-2016 (time.temp2.cs) during fish rescue. We compared these temperatures to stream temperature at an upstream perennial site in Albuquerque, New Mexico, USA, by date and time (alameda_combined_final.csv). We also collected Rio Grande silvery minnow during streamflow intermittency in 2018 and 2020 to evaluate post-rescue survival in captivity in 2018 and 2020 (rescue_surv_all.csv)