A Randomized, Double-Blind, Placebo-Controlled, Pilot Trial of Individualized Homeopathic Medicines for Cutaneous Warts.

BACKGROUND: Though frequently used in practice, research studies have shown inconclusive benefits of homeopathy in the treatment of warts. We aimed to assess the feasibility of a future definitive trial, with preliminary assessment of differences between effects of individualized homeopathic (IH) medicines and placebos in treatment of cutaneous warts. METHODS: A double-blind, randomized, placebo-controlled trial (n = 60) was conducted at the dermatology outpatient department of D.N. De Homoeopathic Medical College and Hospital, West Bengal. Patients were randomized to receive either IH (n = 30) or identical-looking placebo (n = 30). Primary outcome measures were numbers and sizes of the warts; secondary outcome was the Dermatology Life Quality Index (DLQI) questionnaire measured at baseline, and every month up to 3 months. Group differences and effect sizes were calculated on the intention-to-treat sample. RESULTS: Attrition rate was 11.6% (IH, 3; placebo, 4). Intra-group changes were significantly greater (all p < 0.05, Friedman tests) in IH than placebo. Inter-group differences were statistically non-significant (all p > 0.05, Mann-Whitney U tests) with small effect sizes-both in the primary outcomes (number of warts after 3 months: IH median [inter-quartile range; IQR] 1 [1, 3] vs. placebo 1 [1, 2]; p = 0.741; size of warts after 3 months: IH 5.6 mm [2.6, 40.2] vs. placebo 6.3 [0.8, 16.7]; p = 0.515) and in the secondary outcomes (DLQI total after 3 months: IH 4.5 [2, 6.2] vs. placebo 4.5 [2.5, 8]; p = 0.935). Thuja occidentalis (28.3%), Natrum muriaticum (10%) and Sulphur (8.3%) were the most frequently prescribed medicines. No harms, homeopathic aggravations, or serious adverse events were reported. CONCLUSION: As regards efficacy, the preliminary study was inconclusive, with a statistically non-significant direction of effect favoring homeopathy. The trial succeeded in showing that an adequately powered definitive trial is both feasible and warranted. TRIAL REGISTRATION: CTRI/2019/10/021659; UTN: U1111-1241-7340.

Dimensional study of COVID-19 via fractal functions.

The present paper deals with the modeling of the COVID-19 via fractal interpolation function (FIF) and the estimation of the dimension of constructed FIF. Further, we determine the adjoint of the fractal operator defined on L 2 space associated with the FIF.

Efficacy of Individualized Homeopathic Medicines in the Treatment of Atopic Dermatitis in Adults: A Double-Blind, Randomized, Placebo-Controlled, Preliminary Trial.

INTRODUCTION: Individualized homeopathy (IH) in atopic dermatitis (AD) remained under-researched. OBJECTIVE: We aimed at evaluating efficacy of IH in AD. METHODS: A double-blind, randomized, placebo-controlled, short-term, preliminary trial was conducted in an Indian homeopathy hospital. Patients were randomized to either IH (n = 30) or identical-looking placebo (n = 30) using computerized randomization and allocation. Outcomes were patient-oriented scoring of AD (PO-SCORAD; primary end point), Dermatological Life Quality Index (DLQI) score, and AD burden score for adults (ADBSA; secondary end points), measured monthly for 3 months. An intention-to-treat sample was analyzed after adjusting baseline differences. RESULTS: On PO-SCORAD, improvement was higher in IH against placebo, but nonsignificant statistically (pmonth 1 = 0.433, pmonth 2 = 0.442, pmonth 3 = 0.229). Secondary outcomes were also nonsignificant - both DLQI and ADBSA (p > 0.05). Four adverse events (diarrhea, injury, common cold) were recorded. CONCLUSIONS: There was a small, but nonsignificant direction of effect towards homeopathy, which renders the trial inconclusive. A properly powered robust trial is indicated.