Maciej Rysz

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Variability of the bony structures located in the maxillary sinus, and of the lateral nasal wall topography, have practical significance during surgical procedures conducted by maxillofacial surgeons or otolaryngologists. The retrospective analysis of 111 computed tomography examinations of patients (52 male and 59 female) diagnosed in our institution was(More)
In this work, we consider a class of risk-averse maximum weighted subgraph problems (RMWSP). Namely, assuming that each vertex of the graph is associated with a stochastic weight, such that the joint distribution is known, the goal is to obtain a subgraph of minimum risk satisfying a given hereditary property. We employ a stochastic programming framework(More)
We present an efficient scenario decomposition algorithm for solving large-scale convex stochastic programming problems that involve a particular class of downside risk measures. The considered risk functionals encompass coherent and convex measures of risk that can be represented as an infimal convolution of a convex certainty equivalent, and include(More)
Knowledge of the anatomical course of the anterior maxillary wall and alveolar process arteries is essential for sinus lift procedures. The aim of this study was to analyse the localization of anastomoses between the infraorbital and posterior superior alveolar artery on 101 computed tomography (CT) scans of maxillary sinuses (patients aged 18-70 years).(More)
The anterior maxilla wall and alveolar process are covered by the arterial network. Procedures in this region can cause heavy bleeding. Knowledge of the anatomical course of a particular artery is essential for performing surgery in this area. The aim of this study was to search for and then analyse anastomoses between the infraorbital and posterior(More)
BACKGROUND A small size and difficulties with shaping a medial femoral condyle corticocancellous bone flap are factors limiting its use. The goal of this study was to evaluate range of vascular supply to a medial femoral condyle corticocancellous bone flap to determine whether harvesting of larger flaps and performing a flap osteotomy would compromise the(More)
In this work, we study the problem of detecting risk-averse low-diameter clusters, modeled as k-clubs, in graphs. It is assumed that the uncertainty of the information associated with vertices is shown by stochastic weights, whose joint distribution is known. The goal is to find a k-club of minimum risk contained in the graph. A stochastic programming(More)
We propose a two-stage stochastic programming framework for designing or identifying “resilient”, or “repairable” structures in graphs whose topology may undergo a stochastic transformation. The repairability of a subgraph satisfying a given property is defined in terms of a budget constraint, which allows for a prescribed number of vertices to be added to(More)
The need for effective energy harvesting from renewable resources becomes increasingly important, especially in the light of the inevitable depletion of the fossil fuel energy sources. Among renewable energy sources, wind energy represents one of the most attractive alternatives. In this thesis, we construct several stochastic optimization models, including(More)
In head and neck region leiomyosarcoma is a very rare finding. This tumor is usually located in abdominal cavity. We report a case of 78-year-old man with tumor of the auricle that was resected with 0.7 cm margin. Histological and immunohistochemical analysis revealed the leiomyosarcoma. Adjuvant therapy was not advised. During 3 years of follow-up there(More)