We integrate numerically axially symmetric stationary Einstein equations describing selfgravitating disks around spinless black holes. The numerical scheme is based on a method developed by Shibata, but contains important new ingredients. We derive a new general-relativistic Keplerian rotation law for self-gravitating disks around spinning black holes. Former results concerning rotation around spinless black holes emerge in the limit of a vanishing spin parameter. These rotation curves might be used for the description of rotating stars, after appropriate modification around the symmetry axis. They can be applied to the description of compact torus-black hole configurations, including active galactic nuclei or products of coalescences of two neutron stars.

Edited by Judit OvádiKeywords: FBPase Mitochondria GSK3 Calcium Cardiomyocyte Hypertrophy a b s t r a c t A growing body of research suggests that fructose 1,6-bisphosphatase (FBPase) might be involved in regulation of cell mortality/survival. However, the precise role of FBPase in the process remains unknown. Here, we show for the first time that in HL-1 cardiomyocytes, inhibition of glycogen synthase kinase-3 results in translocation of FBPase to mitochondria. In vitro experiments demonstrate that FBPase reduces the rate of calcium-induced mitochondrial swelling, affects ATP synthesis and interacts with mitochondrial proteins involved in regulation of volume and energy homeostasis. We suggest that FBPase might be engaged in a regulation of cell survival by influencing mitochondrial function. Structured summary of protein interactions:FBPase physically interacts with VDAC2, Vdac3, ATP synthase subunit beta, Slc25a5, ATP synthase subunit alpha, Histone cluster 1, H1d, Histone H2A, Histone H4 and Histone H3 by affinity chromatography technology (View interaction) FBPase physically interacts with ATP synthase subunit b, ATP synthase subunit a, ADP/ATP translocase 1, ADP/ATP translocase 2 and VDAC2 by cross-linking study (View interaction)

Muscle fructose 1,6-bisphosphatase (FBP2), besides being a regulatory enzyme of glyconeogenesis also protects mitochondria against calcium stress and plays a key role in regulation of the cell cycle, promoting cardiomyocytes survival. However, in cancer cells, FBP2 acts as an anti-oncogenic/anti-proliferative protein. Here, we show that the physiological function of FBP2 depends both on its level of expression in a cell as well as its oligomerization state. Animal fructose-1,6-bisphosphatases are thought to function as tetramers. We present evidence that FBP2 exists in an equilibrium between tetramers and dimers. The dimeric form is fully active and insensitive to AMP, the main allosteric inhibitor of FBP2. Tetramerization induces the sensitivity of the protein to AMP, but it requires the presence of a hydrophobic central region in which leucine 190 plays a crucial role. Only the tetrameric form of FBP2 is retained in cardiomyocyte cell nucleus whereas only the dimeric form associates with mitochondria and protects them against stress stimuli, such as elevated calcium and H2O2 level. Remarkably, in hypoxic conditions, which are typical for many cancers, FBP2 ceases to interact with mitochondria and loses its pro-survival potential. Our results throw new light on the basis of the diverse role of FBP2 in cells.

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We investigate stationary, self-gravitating, magnetised disks (or tori) around black holes. The models are obtained by numerically solving the coupled system of the Einstein equations and the equations of ideal general-relativistic magnetohydrodynamics. The mathematical formulation and numerical aspects of our approach are similar to those reported in previous works modeling stationary self-gravitating perfect-fluid tori, but the inclusion of magnetic fields represents a new ingredient. Following previous studies of purely hydrodynamical configurations, we construct our models assuming Keplerian rotation in the disks and both spinning and spinless black holes. We focus on the case of a toroidal distribution of the magnetic field and build a large set of models corresponding to a wide range of values of the magnetisation parameter, starting with weakly magnetised disks and ending at configurations in which the magnetic pressure dominates over the thermal one. In all our models, the magnetic field affects the equilibrium structure of the torus mainly due to the magnetic pressure. In particular, an increasing contribution of the magnetic field shifts the location of the maximum of the rest-mass density towards inner regions of the disk. The total mass of the system and the angular momentum are affected by the magnetic field in a complex way, that depends on the black hole spin and the location of the inner radius of the disk. The non-linear dynamical stability of the solutions presented in this paper will be reported elsewhere.