The lumbosacral region of the spine is the most susceptible to pathology in large breed dogs. The most common pathologies of this segment include intervertebral disc disease, distortion of vertebrae, narrowing of the lumbosacral canal and congenital defects of the spine. The aim of this study is to develop a mathematical model describing the height of each lumbosacral vertebra in the dog in relation to the position of the vertebra. For the mathematical analysis we used the results of two measurements for each lumbar vertebra. The first measurement was made from the top of the spinous process to the center of the spinal cord. The second measurement was made from the center of the body of one vertebra to the center of the body of the next one. It is possible to determine an approximate mathematical model that would be uniform for the entire species and would connect the height of the lumbar vertebrae with their location for every breed of the domestic dog. Despite the considerable differences in the constitutional type (small, medium and large breeds), the morphology of the lumbosacral region of the spine exhibits similar proportions. Therefore, it is possible to assess an anomaly of this spinal region objectively. These findings suggest that it is possible to determine an approximate mathematical model that would be uniform for the entire species. The present study was carried out as part of a larger project. This particular work is a pilot study.

The article discusses the expansion of the influence of the museum as a culture forming structure on the example of one of the most beautiful cities in Eastern Europe. Lviv is considered a regional metropolis, its cultural influence extends across Western Ukraine. The paper presents the evolution of the museum’s function in the spatial development of Lviv and urban conditions of expanding this function in a modern city. The need for the placement of museum complexes on the outskirts of Lviv’s city center was determined.

In 1993–1997 the occurrence of cabbage aphid (Brevicoryne brassicae L.) and predators from Cecidomyiidae, Coccinellidae and Chrysopidae was observed on the nine different late cabbage vegetables; Savoy cabbage cv. ‘Vertus’, white cabbage cv. ‘Amager’, red cabbage cv. ‘Langendijker’, brussel sprouts cv. ‘Maczuga’, cauliflower cv. ‘Pionier’, blue kohlrabi cv. ‘Masłowa’, white kohlrabi cv. ‘Delikates’, kale cv. ‘Zielony Kędzierzawy’ and broccoli cv. ‘Piast’. Among the examined predators only the cecidomyiid – Aphidoletes aphidimyza Rond. (Cecidomyiidae) played an important role in reducing the number of cabbage aphids. The cruciferous species had no impact on the density of A. aphidimyza population, and females laying eggs. The size of aphid colonies on cabbage leaves played the most important role.