Implantation metastasis occurs when tumor seeds into a wound or tissue by a significant amount of viable tumor cells. Here we describe the case of a 30-year-old man suffering from pain and swelling of the foot, which was misdiagnosed as a bone cyst. Surgery was performed involving curettage followed by bone grafting. After surgical pathology, the exact diagnosis was revealed as the synovial sar...

In this paper, we investigate the convergence of a novel simulation scheme to the target diffusion process. This scheme, the Quasi-EA, is closely related to the Exact Algorithm (EA) for diffusion processes, as it is obtained by neglecting the rejection step in EA. We prove the existence of a myopic coupling between the QuasiEA and the diffusion. Moreover, an upper bound for the coupling probabi...

The multidimensional multiple-choice knapsack problem (MMKP) is an extension of the 0-1 knapsack problem. The core concept has been used to design efficient algorithms for the knapsack problem but the core has not been developed for the MMKP so far. In this paper, we develop an approximate core for the MMKP and utilize it to solve the problem exactly. Computational results show that the algorit...

In the Dial-a-Ride Problem (DARP), a fleet of vehicles must serve transportation requests made by users that need to be transported from an origin to a destination. In this paper we develop the first exact algorithm which is able to either efficiently prove the infeasibility or to provide a feasible solution. Such an algorithm could be used in a dynamic setting for determining whether it is pos...

Recent advances in algorithms for the multidimensional multiple choice knapsack problems have enabled us to solve rather large problem instances. However, these algorithms are evaluated with very limited benchmark instances. In this study, we propose new methods to systematically generate comprehensive benchmark instances. Some instances with special correlation properties between parameters ar...

We present a simple exact algorithm for counting bicliques of given size in a bipartite graph on n vertices. We achieve running time of O(1.2491), improving upon known exact algorithms for finding and counting bipartite cliques.

The propagation characteristics of a beam generated by driving an aperture with an ultrashort, hence ultrawide-bandwidth, space-time Gaussian pulse are considered. It is shown analytically with an approximate form of the solution that the beam intensity and the beam energy have different diffraction lengths and rates of beam spread in the far field. These beam properties are also discussed for ...

Sweat gland carcinoma is a rare skin tumor. The tumor has propensity to spread to lymph nodes and distant metastases has been reported. Their exact incidence in the Indian setting is not known. Aspects related to treatment are also not clearly defined. Though surgery forms the initial treatment approach, adjuvant treatment has not been properly explored. We report here a case of sweat gland car...

Nodular deposits on lumbar nerve roots are a well recognized manifestation of metastatic spread of certain intracranial tumors, particularly medulloblastoma and ependymoma, via the subarachnoid pathway. The histologic diagnosis usually is established at the time of posterior fossa exploration. However, obtaining a diagnosis at surgery can be hazardous in some intraaxial masses that do not have ...