THE CONCENTRATION OF INTERLEUKIN 6 AND TUMOR NECROSIS FACTOR ALPHA IN SALIVA AND BLOOD OF PATIENTS WITH INACTIVE MULTIPLE SCLEROSIS AND COEXISTING HASHIMOTO'S THYROIDITIS.

The concentration of interleukin 6 (IL-6) and tumor necrosis factor alpha (TNF-α) in the blood is higher in patients with active multiple sclerosis (MS) compared to those with inactive disease. The concentration of IL-6 and TNF-α in the blood is higher in patients with Hashimoto's thyroiditis (HT) compared to those with a healthy thyroid. The aim of the study was to assess whether serum IL-6 and TNF-α levels correlated with saliva in patients with inactive MS and whether there was a difference in these groups of patients depending of thyroid status.

Topological Dimensions from Disorder and Quantum Mechanics?

We have recently shown that the critical Anderson electron in D=3 dimensions effectively occupies a spatial region of the infrared (IR) scaling dimension dIR≈8/3. Here, we inquire about the dimensional substructure involved. We partition space into regions of equal quantum occurrence probabilities, such that the points comprising a region are of similar relevance, and calculate the IR scaling dimension of each.

Counting-Based Effective Dimension and Discrete Regularizations.

Fractal-like structures of varying complexity are common in nature, and measure-based dimensions (Minkowski, Hausdorff) supply their basic geometric characterization. However, at the level of fundamental dynamics, which is quantum, structure does not enter via geometric features of fixed sets but is encoded in probability distributions on associated spaces. The question then arises whether a robust notion of the fractal measure-based dimension exists for structures represented in this way.