We study the behavior at infinity of the farthest and the higher-order Voronoi diagram of line segments or lines in a -dimensional Euclidean space. The unbounded parts of these diagrams can be encoded by a on the sphere of directions . We show that the combinatorial complexity of the Gaussian map for the order- Voronoi diagram of line segments and lines is , which is tight for .
View Article and Find Full Text PDFPurpose Of Review: Despite recent advances in immunotherapy treatment for metastatic, early-stage nonsmall cell lung cancer (NSCLC), palliative, adjuvant, neoadjuvant, and perioperative treatment options, further development is needed. Exploring new frontiers of immuno-oncology is necessary. Researchers are interested in a therapeutic vaccination model.
View Article and Find Full Text PDFMelanoma is the most aggressive type of skin cancer. Half of melanoma cases are characterized by the mutation BRAF V600. The case presented concerns a 41-year-old patient with locally advanced melanoma, being positive in mutation BRAF V600.
View Article and Find Full Text PDFDiscrete Comput Geom
March 2023
Updating an abstract Voronoi diagram in linear time, after deletion of one site, has been an open problem in a long time; similarly, for any concrete Voronoi diagram of generalized (non-point) sites. In this paper we present a simple, expected linear-time algorithm to update an abstract Voronoi diagram after deletion of one site. To achieve this result, we use the concept of a Voronoi-like diagram, a relaxed Voronoi structure of independent interest.
View Article and Find Full Text PDFCastleman disease constitutes a rare class of lymphoproliferative disorders, with an estimated incidence of 21 to 25 per million patient years. The idiopathic subtype exhibits a significantly diverse clinical presentation, which can imitate many autoimmune, malignant, and infectious diseases. Cutaneous manifestations are uncommon and require in-depth investigation, especially when concurrent lymphadenopathy is present.
View Article and Find Full Text PDFMicrofluidic-based chemical sensors take laboratory analytical protocols and miniaturize them into field-deployable systems for in situ monitoring of water chemistry. Here, we present a prototype nitrate/nitrite sensor based on droplet microfluidics that in contrast to standard (continuous phase) microfluidic sensors, treats water samples as discrete droplets contained within a flow of oil. The new sensor device can quantify the concentrations of nitrate and nitrite within each droplet and provides high measurement frequency and low fluid consumption.
View Article and Find Full Text PDFSurface-enhanced Raman scattering (SERS) microscopy is an emerging imaging technique for tissue-based cancer diagnostics. Specifically, immuno-SERS (iSERS) microscopy employs antibodies labelled by molecularly functionalized noble metal colloids for antigen localization on tissue specimen. Spectrally resolved iSERS acquisition schemes are typically rather time-consuming when large tissue areas must be scanned.
View Article and Find Full Text PDFScanning the electrochemical potential negative results in the gradual denaturation of dsDNA immobilised at a nanostructure gold electrode, the DNA melting is monitored by SERS. We demonstrate the effect of the experimental temperature on the electrochemically driven melting (E-melting) by carrying out experiments between 10 and 28 °C using two DNA duplexes (20 and 21 base pairs). Significant temperature dependence for both the melting potentials, Em, and the steepness of the melting curves was found over the range 10 to 18 °C.
View Article and Find Full Text PDFThe development of sensors for the detection of pathogen-specific DNA, including relevant species/strain level discrimination, is critical in molecular diagnostics with major impacts in areas such as bioterrorism and food safety. Herein, we use electrochemically driven denaturation assays monitored by surface-enhanced Raman spectroscopy (SERS) to target single nucleotide polymorphisms (SNPs) that distinguish DNA amplicons generated from Yersinia pestis, the causative agent of plague, from the closely related species Y. pseudotuberculosis.
View Article and Find Full Text PDFUnlabelled single- and double-stranded DNA (ssDNA and dsDNA, respectively) has been detected at concentrations ≥10(-9) M by surface-enhanced Raman spectroscopy. Under appropriate conditions the sequences spontaneously adsorbed to the surface of both Ag and Au colloids through their nucleobases; this allowed highly reproducible spectra with good signal-to-noise ratios to be recorded on completely unmodified samples. This eliminated the need to promote absorption by introducing external linkers, such as thiols.
View Article and Find Full Text PDFDNA sequences attached to Au nanoparticles via thiol linkers stand up from the surface, giving preferential enhancement of the adenine ring breathing SERS band. Non-specific binding via the nucleobases reorients the DNA, reducing this effect. This change in intensity on reorientation was utilised for label-free detection of hybridization of a molecular beacon.
View Article and Find Full Text PDFWe report the formation of highly scattering silver complexes of adenine, deoxyadenosine and 5'-dAMP under alkaline pH conditions in the colloidal silver solutions which are used for surface-enhanced Raman spectroscopy. These complexes, and other pH-dependent phenomena, help to explain the diversity of previously reported adenine SERS spectra. Using conditions which promote complex formation allows nucleotides to be detected at <1 ppm, even in solutions with high salt concentrations.
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