We study ergodic properties of stochastic geometric wave equations on a particular model with the target being the 2D sphere while considering only solutions which are independent of the space variable. This simplification leads to a degenerate stochastic equation in the tangent bundle of the 2D sphere. Studying this equation, we prove existence and non-uniqueness of invariant probability measures for the original problem and obtain also results on attractivity towards an invariant measure. We also present a structure-preserving numerical scheme to approximate solutions and provide computational experiments to motivate and illustrate the theoretical results., Ľubomír Baňas, Zdzisłlaw Brzeźniak, Mikhail Neklyudov, Martin Ondreját, Andreas Prohl., and Obsahuje seznam literatury
Příspěvek shrnuje více než desetileté působení otevřené skupiny amatérských astronomů, která se věnuje na HaP JP v Ostravě CCD fofometrii různých druhů proměnných hvězd a také tranzitujících exoplanet. Skupina je navázána na některé vědecké pozorovací programy a její členové se stali spoluautory řady vědeckých prací. Napozorovaná data jsou dostupná na internetu (celkem 824 CCD pozorování 280 objektů, http://ostrava.astronomy.cz/int.php). Skupina pozorovatelů - Eridanus - nabízí své služby také dalším zájemcům z řad profesionálních astronomů. and Tomáš Gráf.
One of the most significant insults that jeopardize cardiomyocyte homeostasis is a surge of reactive oxygen species (ROS) in the failing myocardium. Early growth response factor-1 (Egr-1) has been found to act as a transcriptional regulator in multiple biological processes known to exert deleterious effects on cardiomyocytes. We thus investigated the signaling pathways involved in its regulation by H2O2. Egr-1 mRNA levels were found to be maximally induced after 2 h in H2O2-treated H9c2 cells. Egr-1 respective response at the protein level, was found to be maximally induced after 2 h of treatment with 200 μM H2O2, remaining elevated for 6 h, and declining thereafter. H2O2- induced upregulation of Egr-1 mRNA and protein levels was ablated in the presence of agents inhibiting ERKs pathway (PD98059) and JNKs (SP600125, AS601245). Immunofluorescent experiments revealed H2O2-induced Egr-1 nuclear sequestration to be also ERK- and JNK-dependent. Overall, our results show for the first time the fundamental role of ERKs and JNKs in regulating Egr-1 response to H2O2 treatment in cardiac cells at multiple levels: mRNA, protein and subcellular distribution. Nevertheless, further studies are required to elucidate the specific physiological role of Egr-1 regarding the modulation of gene expression and determination of cell fate., I.-K. S. Aggeli, I. Beis, C. Gaitanaki., and Obsahuje bibliografii a bibliografické odkazy