Foundations of stochastic geometry and theory of random sets

The first section of this chapter starts with the Buffon problem, which is one of the oldest in stochastic geometry, and then continues with the definition of measures on the space of lines. The second section defines random closed sets and related measurability issues, explains how to characterize distributions of random closed sets by means of capacity functionals and introduces the concept of a selection. Based on this concept, the third section starts with the definition of the expectation and proves its convexifying effect that is related to the Lyapunov theorem for ranges of vector-valued measures. Finally, the strong law of large numbers for Minkowski sums of random sets is proved and the corresponding limit theorem is formulated. The chapter is concluded by a discussion of the union-scheme for random closed sets and a characterization of the corresponding stable laws.

Long-term follow-up of open and laparoscopic repair of large incisional hernias

Long-term results after laparoscopic repair of large incisional hernias remain to be determined. The aim of this prospective study was to compare early and late complications between laparoscopic repair and open repair in patients with large incisional hernias.

Application of an in vitro drug screening assay based on the release of phosphoglucose isomerase to determine the structure-activity relationship of thiazolides against Echinococcus multilocularis metacestodes

OBJECTIVES: The disease alveolar echinococcosis (AE), caused by the larval stage of the cestode Echinococcus multilocularis, is fatal if treatment is unsuccessful. Current treatment options are, at best, parasitostatic, and involve taking benzimidazoles (albendazole, mebendazole) for the whole of a patient's life. In conjunction with the recent development of optimized procedures for E. multilocularis metacestode cultivation, we aimed to develop a rapid and reliable drug screening test, which enables efficient screening of a large number of compounds in a relatively short time frame. METHODS: Metacestodes were treated in vitro with albendazole, the nitro-thiazole nitazoxanide and 29 nitazoxanide derivatives. The resulting leakage of phosphoglucose isomerase (PGI) activity into the medium supernatant was measured and provided an indication of compound efficacy. RESULTS: We show that upon in vitro culture of E. multilocularis metacestodes in the presence of active drugs such as albendazole, the nitro-thiazole nitazoxanide and 30 different nitazoxanide derivatives, the activity of PGI in culture supernatants increased. The increase in PGI activity correlated with the progressive degeneration and destruction of metacestode tissue in a time- and concentration-dependent manner, which allowed us to perform a structure-activity relationship analysis on the thiazolide compounds used in this study. CONCLUSIONS: The assay presented here is inexpensive, rapid, can be used in 24- and 96-well formats and will serve as an ideal tool for first-round in vitro tests on the efficacy of large numbers of antiparasitic compounds.

Microsurgical management of large intra-and extracranial calvarial meningiomas

Objective: Based on the largest series reported of giant intra- and extracranial calvarial meningiomas (GIECM) the purpose of the present study was to characterize the treatment and outcome data associated with patients operated on GIECM and to describe our experience in the management of this rare and therapeutically demanding tumour entity. Methods: The data of 12 patients (7/12 males, 5/12 females) with surgically treated GIECM at the University Hospitals Aachen and Bern between 1994 and 2011 were retrospectively analyzed. The mean patient age was 58 years (range, 22 to 78 years). Symptom distribution included extracranial swelling (12/12), seizures (5/12), headache (4/12), gait disturbance (3/12), dizziness (2/12), and impaired vision (1/12). GIECM were located frontal (6/12), temporal (3/12), parietal, fronto-parietal, and parieto-occipital (1/12 each). Microsurgical resection with acrylic-augmented cranioplasty was performed in all patients and 11/12 patients received dural repair with synthetic (7/11) or autologous (4/11) patch grafts. Surgical excision in two stages with primary removal of the extracranial meningioma component was undertaken in 2/12 patients, whereas preoperative embolization and postoperative radiotherapy were applied in 1/12 patient each. Results: In contrast to intradural meningiomas GIECM mainly affect male patients at a comparatively younger age. GIECM could be completely (9/12) or subtotally (3/12) resected. Surgical-associated complications included minor CSF leak (6/12), wound healing disturbance (3/12), venous engorgement, and haemorrhage (2/12 each), requiring reoperation in 3/12 cases. Histopathological examination revealed meningothelial (6/12), atypical (4/12), and transitional (1/12) GIECM. 10/12 patients exhibited excellent postoperative clinical outcome, 1/12 patient each deteriorated or died of pulmonary embolism. Conclusions: The operative management of GIECM is challenging, carries a substantial risk, and demands special strategies because of the large tumour size, anatomical involvement of scalp, calvaria, meninges, brain or vascular structures, and more frequent atypical histology. Although microsurgical resection with cranioplasty and mostly dural grafting usually results in a good clinical outcome, the potential complication rate is markedly higher when compared to smaller meningiomas without extracranial component. Preoperative embolization and staging of surgical resection are possible additional therapeutic options.