ZoneOne Pharma (United States)

The exponential localization of Wannier functions in two or three dimensions is proven for all insulators that display time-reversal symmetry, settling a long-standing conjecture. Our proof relies on the equivalence between the existence of analytic quasi-Bloch functions and the nullity of the Chern numbers (or of the Hall current) for the system under consideration. The same equivalence implies that Chern insulators cannot display exponentially localized Wannier functions. An explicit condition for the reality of the Wannier functions is identified.

Assess the effectiveness of intramuscular electrical stimulation in reducing hemiplegic shoulder pain at 12 mos posttreatment. A total of 61 chronic stroke survivors with shoulder pain and subluxation participated in this multiple-center, single-blinded, randomized clinical trial. Treatment subjects received intramuscular electrical stimulation to the supraspinatus, posterior deltoid, middle deltoid, and upper trapezius for 6 hrs/day for 6 wks. Control subjects were treated with a cuff-type sling for 6 wks. Brief Pain Inventory question 12, an 11-point numeric rating scale was administered in a blinded manner at baseline, end of treatment, and at 3, 6, and 12 mos posttreatment. Treatment success was defined as a minimum 2-point reduction in Brief Pain Inventory question 12 at all posttreatment assessments. Secondary measures included pain-related quality of life (Brief Pain Inventory question 23), subluxation, motor impairment, range of motion, spasticity, and activity limitation. The electrical stimulation group exhibited a significantly higher success rate than controls (63% vs. 21%, P = 0.001). Repeated-measure analysis of variance revealed significant treatment effects on posttreatment Brief Pain Inventory question 12 (F = 21.2, P < 0.001) and Brief Pain Inventory question 23 (F = 8.3, P < 0.001). Treatment effects on other secondary measures were not significant. Intramuscular electrical stimulation reduces hemiplegic shoulder pain, and the effect is maintained for > or =12 mos posttreatment.