A geometric discretisation scheme applied to the Abelian Chern-Simons theory

We give a detailed general description of a recent geometrical discretisation scheme and illustrate, by explicit numerical calculation, the scheme's ability to capture topological features. The scheme is applied to the Abelian Chern-Simons theory and leads, after a necessary field doubling, to an expression for the discrete partition function in terms of untwisted Reidemeister torsion and of various triangulation dependent factors. The discrete partition function is evaluated computationally for various triangulations of $S^3$ and of lens spaces. The results confirm that the discretisation scheme is triangulation independent and coincides with the continuum partition functionComment: 27 pages, 5 figures, 6 tables. in late

Cyclodextrin alleviates neuronal storage of cholesterol in Niemann-Pick C disease without evidence of detectable blood-brain barrier permeability

Niemann Pick type C disease is an inherited autosomal recessive disorder characterised by the accumulation of unesterified cholesterol and sphingolipids within the endosomal/lysosomal compartments. It has been observed that the administration of hydroxypropyl-β-cyclodextrin (HPBCD) delays onset of clinical symptoms and reduces accumulation of cholesterol and gangliosides within neuronal cells. It was assumed that HPBCD exerts its action by readily entering the CNS and directly interacting with neurones and other brain cells to facilitate removal of stored cholesterol from the late endosomal/lysosomal compartment. Here, we present evidence that refutes this hypothesis. We use two well established techniques for accurately measuring brain uptake of solutes from blood and show that there is no significant crossing of HPBCD into the brain. The two techniques are brain in situ perfusion and intraperitoneal injection followed by multi-time-point regression analysis. Neither study demonstrates significant, time-dependent uptake of HPBCD in either adult or neonatal mice. However, the volume of distribution available to HPBCD (0.113±0.010ml/g) exceeds the accepted values for plasma and vascular volume of the brain. In fact, it is nearly three times larger than that for sucrose (0.039±0.006 ml/g). We propose that this indicates cell surface binding of HPBCD to the endothelium of the cerebral vasculature and may provide a mechanism for the mobilization and clearance of cholesterol from the CNS