Quantification of fractal dimension and Shannon’s entropy in histological diagnosis of prostate cancer

Background: Prostate cancer is a serious public health problem that affects quality of life and has a significant mortality rate. The aim of the present study was to quantify the fractal dimension and Shannon’s entropy in the histological diagnosis of prostate cancer. Methods: Thirty-four patients with prostate cancer aged 50 to 75 years having been submitted to radical prostatectomy participated in the study. Histological slides of normal (N), hyperplastic (H) and tumor (T) areas of the prostate were digitally photographed with three different magnifications (40x, 100x and 400x) and analyzed. The fractal dimension (FD), Shannon’s entropy (SE) and number of cell nuclei (NCN) in these areas were compared. Results: FD analysis demonstrated the following significant differences between groups: T vs. N and H vs. N groups (p < 0.05) at a magnification of 40x; T vs. N (p < 0.01) at 100x and H vs. N (p < 0.01) at 400x. SE analysis revealed the following significant differences groups: T vs. H and T vs. N (p < 0.05) at 100x; and T vs. H and T vs. N (p < 0.001) at 400x. NCN analysis demonstrated the following significant differences between groups: T vs. H and T vs. N (p < 0.05) at 40x; T vs. H and T vs. N (p < 0.0001) at 100x; and T vs. H and T vs. N (p < 0.01) at 400x. Conclusions: The quantification of the FD and SE, together with the number of cell nuclei, has potential clinical applications in the histological diagnosis of prostate cancer.

Radar based improvements and diagnosis of the convective capabilities of the cosmo-2 model

In the last few years the resolution of numerical weather prediction (nwp) became higher and higher with the progresses of technology and knowledge. As a consequence, a great number of initial data became fundamental for a correct initialization of the models. The potential of radar observations has long been recognized for improving the initial conditions of high-resolution nwp models, while operational application becomes more frequent. The fact that many nwp centres have recently taken into operations convection-permitting forecast models, many of which assimilate radar data, emphasizes the need for an approach to providing quality information which is needed in order to avoid that radar errors degrade the model's initial conditions and, therefore, its forecasts. Environmental risks can can be related with various causes: meteorological, seismical, hydrological/hydraulic. Flash floods have horizontal dimension of 1-20 Km and can be inserted in mesoscale gamma subscale, this scale can be modeled only with nwp model with the highest resolution as the COSMO-2 model. One of the problems of modeling extreme convective events is related with the atmospheric initial conditions, in fact the scale dimension for the assimilation of atmospheric condition in an high resolution model is about 10 Km, a value too high for a correct representation of convection initial conditions. Assimilation of radar data with his resolution of about of Km every 5 or 10 minutes can be a solution for this problem. In this contribution a pragmatic and empirical approach to deriving a radar data quality description is proposed to be used in radar data assimilation and more specifically for the latent heat nudging (lhn) scheme. Later the the nvective capabilities of the cosmo-2 model are investigated through some case studies. Finally, this work shows some preliminary experiments of coupling of a high resolution meteorological model with an Hydrological one.

Synthese und Charakterisierung zylindrischer Poly(2-oxazolin)bürsten als Nanocarrier für Drug Delivery Systeme

Inspiriert durch natürlich vorkommende Peptide, sind Poly(2-oxazoline) vielversprechende Kandidaten für Anwendungen in Bereichen des kontrollierten Wirkstoff- bzw. Gentransportes, wie die moderne Biomedizin dies fordert. Da Polyoxazoline als strukturisomere Amide von natürlichen Polypeptiden aufgefasst werden können, zeigen diese synthetischen Polymere in direktem Vergleich erhebliche Vorteile etwa hinsichtlich Zytotoxizät und Effizienz, was wesentlich dazu beitragen kann, aktuelle Hürden biomedizinischer Fragestellungen hinsichtlich Transport und Targeting zu überwinden. Darüber hinaus sollten zylindrische Polymerbürsten aufgrund ihrer molekularen, architekturbedingten Formanisotropie und jüngsten Ergebnissen insbesondere zur formabhängigen Endozytose sehr aussichtsreiche Kandidaten für den Einsatz zum Wirkstofftransport sein.rnrnDie vorliegende Arbeit widmete sich deshalb der Synthese und Charakterisierung von biokompatiblen zylindrischen Poly(2-oxazolin)bürsten als potentielle Nanotransporter von Wirkstoffen, Biomolekülen oder genetischem Material. Als Monomer wurde zunächst 2-Isopropyloxazolin gewählt, da das Polymer eine Phasenübergangstemperatur von 37 °C besitzt, was für Konjugatsynthesen wie auch diverse biomedizinische Applikationen interessant sein kann. Durch terminierende Methacrylamid Funktionalisierung der lebenden kationischen Oxazolinpolymerisation bzw. nachfolgende Endgruppen Transferreaktionen sind Makromonomere im Bereich 1000-5000 g/mol zugänglich. Erstmals gelang es so 2-Oxazolin basierte, hochmolekulare zylindrische Bürsten mit Konturlängen im Bereich von 250 nm mittels „Grafting Through“ Technik in freier radikalischer Polymerisation herzustellen.rnrnAusgehend von der entwickelten Syntheseroute konnten so neben Homo- und Blockcopolymerbürsten von 2-Ethyl-2-oxazolin und 2-Isopropyl-2-oxazolin auch Bürstenmoleküle aus statistischen Copolymeren von 2-Ethyl-2-oxazolin und unsubstituiertem 2-Oxazolin hergestellt werden. Während letztere die Einführung kationischer Gruppen durch selektivere Abspaltmethoden der Formylreste erlauben und so etwa DNA/RNA Komplexierungen ermöglichen können, bietet andererseits der in dieser Arbeit erstmalig demonstrierte Einsatz Azid-funktionalisierter Initiatoren zur kationischen Oxazolinpolymerisation unter Beibehaltung aller anderen sonstigen Reaktionsschritte auch die Möglichkeit der Synthese Azid-Endgruppen-funktionalisierter Makromonomere. Die „Grafting Through“ Methodik der freien radikalischen Makromonomer Polymerisation ist selbst bei diesen funktionalisierten Systemen von großem Vorteil, erlaubt sie auch hier den Zugang zu hochmolekularen Substraten mit einem Pfropfungs- bzw. Funktionalisierungsgrad von 100 %, da jede Seitenkette dieser zylindrischen Bürsten die aussenliegende, und damit sterisch leichter zugängliche funktionale Gruppe trägt. Dabei gelang es die Syntheseroute so zu gestalten, dass es möglich war alle vorgestellten Polymerbürsten mittels statischer und dynamischer Lichtstreuung hinsichtlich absoluter Molmasse und molekularer Dimension zu charakterisieren.rnIn weitereren Reaktionen konnten dann reaktive Fluoreszenzfarbstoffe mit Hilfe kupferfreier 1,3 dipolarerer Addition (kupferfreie „Click-Chemie“) an die Azid-funktionalisierten Polymerbürsten angebunden werden, so dass eine wesentliche Voraussetzung für die Detektion in in vivo und in vitro Experimenten erfüllt werden kann. Darüber hinaus gelingt die quantitative polymeranaloge Umsetzung der Azid- zu Aminogruppen durch eine polymeranalog geführte Reduktion nach Staudinger; damit können an diesen Systemen auch etablierte Konjugationstechniken an Aminogruppen durchgeführt werden. Zudem erlauben die Aminogruppen-haltigen Polymerbürsten durch Protonierung schon bei physiologischem pH die Komplexierung von DNA oder RNA. rnrnErste Lichtstreumessungen in Blutserum zeigen im Falle der kationischen Aminogruppen tragenden Polymerbürsten zwar Aggregation, was aber durch entsprechende Umsetzung nach Konjugation wahrscheinlich unterdrückt werden kann, zeigen doch die entsprechenden Precursorpolymerbürsten mit Azidgruppen in Serum keinerlei Aggregation.rnrnZellaufnahmestudien in dendritische Zellen zeigen nur im Falle einer Azid-funktionalisierten Poly(2-isopropyl-2-oxazolin)bürste eine unspezifische Aufnahme. Die hydrophileren Poly(2-oxazolin)bürsten weise keine unspezifische Aufnahme auf, was eine wichtige Anfoderung für die Verwendung als Polymercarrier in der Krebsimmuntherapie ist.rn

L-2-Kohomologie von Calabi-Yau-Familien über Kurven

Ist $f: X \to S$ eine glatte Familie von Calabi-Yau-Mannigfaltigkeiten der Dimension $m$ über einer quasiprojektiven Kurve, so trägt nach einem Resultat von Zucker die erste $L^2$-Kohomologiegruppe $H^1_{(2)}(S, R^m f_* \mathbb{C}_X)$ eine reine Hodgestruktur vom Gewicht $m+1$. In dieser Arbeit berechnen wir die Hodgezahlen solcher Hodgestrukturen für $m= 1, 2, 3$ und verallgemeinern dabei Formeln aus einem Artikel von del Angel, Müller-Stach, van Straten und Zuo auf den Fall, in dem die lokalen Monodromiematrizen bei Unendlich nicht unipotent, sondern echt quasi-unipotent sind. Wir verwenden dazu den $L^2$-Higgs-Komplex nach Jost, Yang und Zuo. Für Familien von Kurven führt dies auf eine bereits bekannte Formel von Cox und Zucker. Schließlich wenden wir die Ergebnisse im Fall $m=3$ auf 14 Familien von Calabi-Yau-Mannigfaltigkeiten an, die eine Rolle in der Spiegelsymmetrie spielen, sowie auf eine von Rohde konstruierte Familie ohne Punkte mit maximal unipotenter Monodromie.

Ascending thoracic aorta dimension and outcomes in acute type B dissection (from the International Registry of Acute Aortic Dissection [IRAD])

It is not well known if the size of the ascending thoracic aorta at presentation predicts features of presentation, management, and outcomes in patients with acute type B aortic dissection. The International Registry of Acute Aortic Dissection (IRAD) database was queried for all patients with acute type B dissection who had documentation of ascending thoracic aortic size at time of presentation. Patients were categorized according to ascending thoracic aortic diameters ≤4.0, 4.1 to 4.5, and ≥4.6 cm. Four hundred eighteen patients met inclusion criteria; 291 patients (69.6%) were men with a mean age of 63.2 ± 13.5 years. Ascending thoracic aortic diameter ≤4.0 cm was noted in 250 patients (59.8%), 4.1 to 4.5 cm in 105 patients (25.1%), and ≥4.6 cm in 63 patients (15.1%). Patients with an ascending thoracic aortic diameter ≥4.6 cm were more likely to be men (p = 0.01) and have Marfan syndrome (p <0.001) and known bicuspid aortic valve disease (p = 0.003). In patients with an ascending thoracic aorta ≥4.1 cm, there was an increased incidence of surgical intervention (p = 0.013). In those with an ascending thoracic aorta ≥4.6 cm, the root, ascending aorta, arch, and aortic valve were more often involved in surgical repair. Patients with an ascending thoracic aorta ≤4.0 were more likely to have endovascular therapy than those with larger ascending thoracic aortas (p = 0.009). There was no difference in overall mortality or cause of death. In conclusion, ascending thoracic aortic enlargement in patients with acute type B aortic dissection is common. Although its presence does not appear to predict an increased risk of mortality, it is associated with more frequent open surgical intervention that often involves replacement of the proximal aorta. Those with smaller proximal aortas are more likely to receive endovascular therapy.

Outcome evaluation of early placed maxillary anterior single-tooth implants using objective esthetic criteria: a cross-sectional, retrospective study in 45 patients with a 2- to 4-year follow-up using pink and white esthetic scores

BACKGROUND: To validate the concept of early implant placement for use in the esthetically sensitive anterior maxilla, clinical trials should ideally include objective esthetic criteria when assessing outcome parameters. METHODS: In this cross-sectional, retrospective 2- to 4-year study involving 45 patients treated with maxillary anterior single-tooth implants according to the concept of early implant placement, a novel comprehensive index, comprising pink esthetic score and white esthetic score (PES/WES; the highest possible combined score is 20), was applied for the objective esthetic outcome assessment of anterior single-tooth implants. RESULTS: All 45 anterior maxillary single-tooth implants fulfilled strict success criteria for dental implants with regard to osseointegration, including the absence of peri-implant radiolucency, implant mobility, suppuration, and pain. The mean total PES/WES was 14.7 +/- 1.18 (range: 11 to 18). The mean total PES of 7.8 +/- 0.88 (range: 6 to 9) documents favorable overall peri-implant soft tissue conditions. The two PES variables facial mucosa curvature (1.9 +/- 0.29) and facial mucosa level (1.8 +/- 0.42) had the highest mean values, whereas the combination variable root convexity/soft tissue color and texture (1.2 +/- 0.53) proved to be the most difficult to fully satisfy. Mean scores were 1.6 +/- 0.5 for the mesial papilla and 1.3 +/- 0.5 for the distal papilla. A mean value of 6.9 +/- 1.47 (range: 4 to 10) was calculated for WES. CONCLUSIONS: This study demonstrated that anterior maxillary single-tooth replacement, according to the concept of early implant placement, is a successful and predictable treatment modality, in general, and from an esthetic point of view, in particular. The suitability of the PES/WES index for the objective outcome assessment of the esthetic dimension of anterior single-tooth implants was confirmed. However, prospective clinical trials are needed to further validate and refine this index.

Minimal local anesthetic volume for peripheral nerve block: a new ultrasound-guided, nerve dimension-based method

BACKGROUND AND OBJECTIVES: Nerve blocks using local anesthetics are widely used. High volumes are usually injected, which may predispose patients to associated adverse events. Introduction of ultrasound guidance facilitates the reduction of volume, but the minimal effective volume is unknown. In this study, we estimated the 50% effective dose (ED50) and 95% effective dose (ED95) volume of 1% mepivacaine relative to the cross-sectional area of the nerve for an adequate sensory block. METHODS: To reduce the number of healthy volunteers, we used a volume reduction protocol using the up-and-down procedure according to the Dixon average method. The ulnar nerve was scanned at the proximal forearm, and the cross-sectional area was measured by ultrasound. In the first volunteer, a volume of 0.4 mL/mm of nerve cross-sectional area was injected under ultrasound guidance in close proximity to and around the nerve using a multiple injection technique. The volume in the next volunteer was reduced by 0.04 mL/mm in case of complete blockade and augmented by the same amount in case of incomplete sensory blockade within 20 mins. After 3 up-and-down cycles, ED50 and ED95 were estimated. Volunteers and physicians performing the block were blinded to the volume used. RESULTS: A total 17 of volunteers were investigated. The ED50 volume was 0.08 mL/mm (SD, 0.01 mL/mm), and the ED95 volume was 0.11 mL/mm (SD, 0.03 mL/mm). The mean cross-sectional area of the nerves was 6.2 mm (1.0 mm). CONCLUSIONS: Based on the ultrasound measured cross-sectional area and using ultrasound guidance, a mean volume of 0.7 mL represents the ED95 dose of 1% mepivacaine to block the ulnar nerve at the proximal forearm.

The effect of projections on dimension in the Heisenberg group

We prove analogs of classical almost sure dimension theorems for Euclidean projection mappings in the first Heisenberg group, equipped with a sub-Riemannian metric.

Frequency of Sobolev and quasiconformal dimension distortion

We study Hausdorff and Minkowski dimension distortion for images of generic affine subspaces of Euclidean space under Sobolev and quasiconformal maps. For a supercritical Sobolev map f defined on a domain in RnRn, we estimate from above the Hausdorff dimension of the set of affine subspaces parallel to a fixed m-dimensional linear subspace, whose image under f has positive HαHα measure for some fixed α>mα>m. As a consequence, we obtain new dimension distortion and absolute continuity statements valid for almost every affine subspace. Our results hold for mappings taking values in arbitrary metric spaces, yet are new even for quasiconformal maps of the plane. We illustrate our results with numerous examples.

Is the acetabular cup orientation after total hip arthroplasty on a two dimension or three dimension model accurate?

Purpose Malposition of the acetabular component in total hip arthroplasty (THA) is a common surgical problem that can lead to hip dislocation, reduced range of motion and may result in early loosening. The aim of this study is to validate the accuracy and reproducibility of a single x-ray image based 2D/3D reconstruction technique in determining cup inclination and anteversion against two different computer tomography (CT)-based measurement techniques. Methods Cup anteversion and inclination of 20 patients after cementless primary THA was measured on standard anteroposterior (AP) radiographs with the help of the single x-ray 2D/3D reconstruction program and compared with two different 3D CT-based analyses [Ground Truth (GT) and MeVis (MV) reconstruction model]. Results The measurements from the single x-ray 2D/3D reconstruction technique were strongly correlated with both types of CT image-processing protocols for both cup inclination [R²=0.69 (GT); R²=0.59 (MV)] and anteversion [R²=0.89 (GT); R²=0.80 (MV)]. Conclusions The single x-ray image based 2D/3D reconstruction technique is a feasible method to assess cup position on postoperative x-rays. CTscans remain the golden standard for a more complex biomechanical evaluation when a lower tolerance limit (+/-2 degrees) is required.