Whittaker pairs for the Virasoro algebra and the Gaiotto - BMT states

In this paper we analyze Whittaker modules for two families of Wittaker pairs related to the subalgebras of the Virasoro algebra generated by L_r,..., L_{2r} and L_1,L_n. The structure theorems for the corresponding universal Whittaker modules are proved and some of their consequences are derived. All the Gaiotto {arXiv:0908.0307} and the Bonelli-Maruyoshi-Tanzini {arXiv:1112.1691} states in an arbitrary Virasoro algebra Verma module are explicitly constructed.Comment: 19 pages, Revision of Section 3 (Theorems 3.5, 3.6 and Corollary 3.7 of Section 3 of the first published version are valid only in the case of $n=3$), correction of Lemma 2.7, one reference adde

Ból i cierpienie

Ze wstępu: "W dniach 15-16 stycznia 2005 roku odbyła się sesja naukowa pod tytułem „Ból i cierpienie”, której organizatorami były: Katedra Historii Medycyny, Oddział Podkarpacki Polskiego Towarzystwa Anestezjologii i Intensywnej Terapii i Katedra Anestezjologii i Intensywnej Terapii Collegium Medicum Uniwersytetu Jagiellońskiego przy znaczącym udziale Krakowskiej Szkoły Wyższej im. Andrzeja Frycza Modrzewskiego. Tradycyjnie już spotkania m iały miejsce w Sali Malinowej Domu Towarzystwa Lekarskiego Krakowskiego przy ulicy Radziwiłłowskiej 4 oraz u Sióstr Kanoniczek Ducha Świętego przy kościele Św. Tomasza na ulicy Szpitalnej w Krakowie. Doroczne spotkania lekarzy w klasztorze Sióstr Duchaczek w drugą niedzielę po święcie Trzech Króli przekształciły się z czasem w sympozja naukowe poświęcone tematowi odczuwania przez człowieka bólu i przeżywania cierpienia."(...

Ból i cierpienie. Materiały konferencyjne

Ze wstępu: "Coroczne spotkania lekarzy w klasztorze Sióstr Duehaczek, czyli poprawnie Sióstr Kanoniczck Ducha Świętego przy kościele Św. Tomasza w Krakowie przy ulicy Szpitalnej, w tradycyjnym dla tego zakonu terminie - tj. w drugą niedzielę po święcie Trzech Króli - przekształciły się w 1994 roku w sympozja naukowe, poświęcone stałemu tematowi: „Ból i cierpienie”. W tym roku spotkaliśmy się w dniach 17 i 18 stycznia 2004, tradycyjnie już, w Domu Towarzystwa Lekarskiego Krakowskiego przy ulicy Radziwiłłowskiej 4. W skład Komitetu Organizacyjnego Konferencji, wzorem lat ubiegłych weszli: prof, dr hab. med. Andrzej Środka, Kierownik Katedry Historii Medycyny CM UJ, prof, dr hab. med. Janusz Andres, Kierownik Katedry Anestezjologii i Intensywnej Terapii CM UJ, dr hab. med. Zdzisław Gajda, prof. UJ, Przewodniczący Stowarzyszenia Absolwentów Wydziałów Medycznych UJ, dr med. Alicja Macheta, Przewodnicząca Podkarpackiego Oddziału Towarzystwa Anestezjologii i Intensywnej Terapii, dr Maria Dorota Schmidt-Pospuła, Przewodnicząca Krakowskiego Towarzystwa Miłośników Historii Medycyny."(...

Ból i cierpienie

Praca recenzowana / peer-reviewed pape

Alignment of the Sternum and Sacrum as a Marker of Sitting Body Posture in Children

An analysis of literature on the methods of assuming a sitting position and the results of our own research indicated the need to search for biomechanical parameters and existing relationships that would enable a description of sitting body posture. The purpose of this paper is to analyze the relationship between the alignment of the body of sternum and sacrum and the changes in the thoracic and lumbar spine curvatures in children. The study involved 113 subjects aged 9–13 years. A planned simultaneous measurement of the angle parameters of the alignment of the body of sternum and sacrum relative to the body’s sagittal axis and the angle parameters of the thoracic and lumbar spine curvatures was performed during a single examination session. The proposed markers of alignment in the corrected sitting body posture are characterized by homogeneous results. A high measurement repeatability was observed when determining the corrected body posture in the study setting. It was noted that changes in the alignment of the body of sternum and sacrum resulted in changes in the thoracic kyphosis and lumbar lordosis angle values, which may be an important component of clinical observations of sitting body posture in children. Implementing the body of sternum alignment angle of about 64° relative to the body’s sagittal axis in clinical practice as one of the objectives of postural education may be the target solution for sitting body posture correction in children

Modelling experimentally measured of ciprofloxacin antibiotic diffusion in Pseudomonas aeruginosa biofilm formed in artificial sputum medium.

We study the experimentally measured ciprofloxacin antibiotic diffusion through a gel-like artificial sputum medium (ASM) mimicking physiological conditions typical for a cystic fibrosis layer, in which regions occupied by Pseudomonas aeruginosa bacteria are present. To quantify the antibiotic diffusion dynamics we employ a phenomenological model using a subdiffusion-absorption equation with a fractional time derivative. This effective equation describes molecular diffusion in a medium structured akin Thompson's plumpudding model; here the 'pudding' background represents the ASM and the 'plums' represent the bacterial biofilm. The pudding is a subdiffusion barrier for antibiotic molecules that can affect bacteria found in plums. For the experimental study we use an interferometric method to determine the time evolution of the amount of antibiotic that has diffused through the biofilm. The theoretical model shows that this function is qualitatively different depending on whether or not absorption of the antibiotic in the biofilm occurs. We show that the process can be divided into three successive stages: (1) only antibiotic subdiffusion with constant biofilm parameters, (2) subdiffusion and absorption of antibiotic molecules with variable biofilm transport parameters, (3) subdiffusion and absorption in the medium but the biofilm parameters are constant again. Stage 2 is interpreted as the appearance of an intensive defence build-up of bacteria against the action of the antibiotic, and in the stage 3 it is likely that the bacteria have been inactivated. Times at which stages change are determined from the experimentally obtained temporal evolution of the amount of antibiotic that has diffused through the ASM with bacteria. Our analysis shows good agreement between experimental and theoretical results and is consistent with the biologically expected biofilm response. We show that an experimental method to study the temporal evolution of the amount of a substance that has diffused through a biofilm is useful in studying the processes occurring in a biofilm. We also show that the complicated biological process of antibiotic diffusion in a biofilm can be described by a fractional subdiffusion-absorption equation with subdiffusion and absorption parameters that change over time

Experimental and Theoretical Analysis of Metal Complex Diffusion through Cell Monolayer

The study of drugs diffusion through different biological membranes constitutes an essential step in the development of new pharmaceuticals. In this study, the method based on the monolayer cell culture of CHO-K1 cells has been developed in order to emulate the epithelial cells barrier in permeability studies by laser interferometry. Laser interferometry was employed for the experimental analysis of nickel(II) and cobalt(II) complexes with 1-allylimidazole or their chlorides’ diffusion through eukaryotic cell monolayers. The amount (mol) of nickel(II) and cobalt(II) chlorides transported through the monolayer was greater than that of metals complexed with 1-allylimidazole by 4.34-fold and 1.45-fold, respectively, after 60 min. Thus, laser interferometry can be used for the quantitative analysis of the transport of compounds through eukaryotic cell monolayers, and the resulting parameters can be used to formulate a mathematical description of this process

Ból i cierpienie

Praca recenzowana / peer-reviewed pape

Ból i cierpienie

Praca recenzowana / peer-reviewed pape

Ból i cierpienie

Praca recenzowana / peer-reviewed pape