On existence and uniqueness of positive solutions for integral boundary boundary value problems

By applying the monotone iterative technique, we obtain the existence and uniqueness of $C^1[0,1]$ positive solutions in some set for singular boundary value problems of second order ordinary differential equations with integral boundary conditions

The efficacy and safety stimulating a single acu-point shenmen (HT 7) for managing insomnia: A systematic review of randomized controlled trials

Introduction Insomnia can occur independently or in conjunction with other diseases, with the common symptom of poor sleep quantity and/or decreasing time asleep. In Chinese medicine, the acu-point HT7 along heart meridian is a very important acu-point for treating insomnia, however no systematic reviews have been carried out to evaluate the effectiveness of stimulating HT7 as a single point for treating insomnia. Methods A literature search of English and Chinese databases was carried out for randomized controlled trials evaluating the stimulation of HT7 as a sole acu-point for insomnia (irrespective of cause) compared with routine care or placebo. Trial reporting quality was assessed using the Standards for Reporting Interventions in Clinical Trials of Acupuncture (STRICTA) checklist and the Cochrane Risk of Bias Tool (PROSPERO registration numner: CRD42016036191). Results Four trials involving 436 participants were included. All trials were limited in their reporting and methodological quality. Statistically significant improvements were shown for HT7 simulation used for patients with insomnia who had coronary heart disease (measured by improvement ratio), and the simulation included acupressure (P &lt; 0.05) and moxa (х2 = 18.98, P &lt; 0.01); Statistically improvements were shown for HT7 acupressure used for insomnia occurred independently (measured by anxiety questionnaires – a sensation of wellbeing and urinary sulphate-melatonin evaluation). No trial reported any adverse events. Conclusions There was insufficient evidence to confirm whether HT7 stimulation could improve insomnia but there are some positive indications which warrant further research. These findings should be interpreted with caution due to the poor reporting and methodological quality of included trials.</p

MOESM1 of Sodium ferulate and n-butylidenephthalate combined with bone marrow stromal cells (BMSCs) improve the therapeutic effects of angiogenesis and neurogenesis after rat focal cerebral ischemia

Additional file 1: Figure S1. Different dosages of BP combined with SF and BMSC enhanced VEGF and DCX expressions post-stroke. Representative western blot results for VEGF and DCX in ischemic hemisphere of each group (n = 6) were shown and quantitative analysis was presented. It indicated that SF + BP (10 mg/kg) + BMSC group significantly enhanced VEGF and DCX expressions in comparison with other groups. Data are expressed as means ± SD. *p < 0.05, vs. Simvastatin + BMSC group; #p < 0.05, vs. SF + BMSC group. Figure S2. Neurological functional outcomes post-surgery. Garcia JH neurological score evaluation was performed at 1 and 7 days in each group (n = 6). Both of SF (60 mg/kg) + BP + BMSC and Simvastatin + BMSC group could dramatically improve neurological functional recovery compared with other four groups on 7th day. Data are expressed as means ± SD. *p < 0.05, vs. BMSC; #p < 0.05, vs. SF (120 mg/kg) + BP + BMSC; &p < 0.05, vs. SF (30 mg/kg) + BP + BMSC

Multiple positive solutions for singular nth-order nonlocal boundary value problems in Banach spaces

In this paper, we consider a class of singular nth-order nonlocal boundary value problems in Banach spaces. The existence of multiple positive solutions for the problem is obtained by using the fixed point index theory of strict set contraction operators. To demonstrate the applications of our results, two examples are also given in the paper