Let sij represent a transposition in Sn. A polynomial P in Q[Xn] is said to be m-quasiinvariant with respect to Sn if (xi − xj) 2m+1 divides (1 − sij)P for all 1 ≤ i, j ≤ n. We call the ring of m-quasiinvariants, QIm[Xn]. We describe a method for constructing a basis for the quotient QIm[X3]/(e1, e2, e3). This leads to the evaluation of certain binomial determinants that are interesting in thei...

A method is described for folding polymers to specific target conformations. The approach uses a fast but approximate dynamics algorithm, coupled with a genetic algorithm that is used to evolve the large number of free parameters needed. The dynamics algorithm uses a state transition matrix approach. At each time step, the distances between pairs of atoms are adjusted by shifting them from Dij ...

INTRODUCTION Sacroiliac joint (SIJ) represents a difficult location for local therapies, as intra-articular injections may be hard to execute, especially in particular conditions such as chronic inflammatory diseases. However, in selected patients, local therapies may be considered. Some recent studies demonstrated the feasibility of ultrasound (US)-guided injection of SIJ, but still a complete...

BACKGROUND Dysfunction of the Sacroiliac Joint (SIJ) is one of the key sources of low back pain. For prolonged pain relief, some patients undergo fluoroscopic guided radio-frequency (RF) ablation of SIJ, during which a number of RF probes are inserted to create thermal lesions that disrupt the posterior sacral nerve supply. This procedure is minimally invasive, laborious, time-consuming and cos...

Involvement of the sacroiliac joints (SIJ) is a major and characteristic feature of the spondyloarthritides (SpA). In early ankylosing spondylitis and undifferentiated SpA (uSpA) sacroiliitis is the most common early clinical finding and the presumed first manifestation of the disease. Magnetic resonance imaging has proved useful for visualising inflammation in the SIJ in adults and children. R...

Kolmogorov suggested to measure quality of a statistical hypothesis (a model) P for a data x by two parameters: Kolmogorov complexity C(P ) of the hypothesis and the probability P (x) of x with respect to P . The first parameter measures how simple the hypothesis P is and the second one how it fits. The paper [2] discovered a small class of models that are universal in the following sense. Each...

The high frequency of static and dynamic palpation methods used during evaluation of SIJ problems in clinical practice demands an understanding of the factual quantity of movement at the SIJ. The objective of this systematic literature review was to synthesize three-dimensional (3-D) motion of the sacroiliac joint (SIJ) during various functional static postures and movements and to determine th...

BACKGROUND.: The sacroiliac joint (SIJ) complex has been identified as a common source of chronic low back pain. Radiofrequency (RF) neurotomy has been investigated in recent years as a minimally invasive treatment option for SIJ-mediated low back pain. A number of RF neurotomy methodologies have been investigated, including the use of cooled RF. OBJECTIVE.: To retrospectively evaluate the use ...

Background: The sacroiliac joint (SIJ) is an important cause of chronic low back pain, implicated in 15% 30% of all cases. While radiofrequency neurotomy (RFN) is the interventional treatment of choice for spinal pain originating from the facet joints, fewer studies have investigated its potential for treating SIJ pain, and its long-term efficacy is unknown. Objectives: To obtain a real-world v...