Analysis of 5 Loxin^® Treatment for Patients with Osteoarthritis in Clinical Trial using Power Filter

Sourish Das¹ and Dipak Dey²

¹ SAMSI, Duke University, Durham, NC

² University of Connecticut, Storrs, CT

Abstract

5 Loxin^® is a new and novel treatment for Osteoarthritis (OA) of knee. In this paper, we present the efficacy study of 5 Loxin^® treatment for OA and explain the underlying mechanism of a treatment to be successful for treating OA such as 5 Loxin^®. In a double-blind, placebo-controlled, clinical trial, the modulation of pro-inflammatory bio-molecules like tumor necrosis factor alpha (TNFa) and interleukin-1beta (IL-1b) were evaluated in the OA patients. We present the analysis of association between TNFa and IL-1b with the effect of 5 Loxin^® treatment for OA. Based on this analysis, we describe the fundamental system of successful treatment for treating OA, such as 5 Loxin^®; otherwise any new therapy for OA in future would fail, if they fail to follow the mechanism. We accomplish this by introducing the power filter (PF) for dynamic generalized linear models, which extend the usual Kalman filter (KF) for dynamic linear models. We establish a relationship between the KF and the PF as well. An information processing optimality property of the PF is presented; which shows the PF is optimum filter like KF. This optimum property gives PF an edge over the other suboptimal filters, such as extended Kalman filter.

Key Words: Boswellia serrata; Dynamic model; Information processing; Kalman filter; TNF alpha.