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A NUMERICAL ALGORITHM FOR SINGULAR MULTI-POINT BVPS USING THE REPRODUCING KERNEL METHOD
Yuntao Jia,Yingzhen Lin 한국수학교육학회 2014 純粹 및 應用數學 Vol.21 No.1
In this paper, we construct a complex reproducing kernel space for sin-gular multi-point BVPs, and skillfully obtain reproducing kernel expressions. Then,we transform the problem into an equivalent operator equation, and give a numeri-cal algorithm to provide the approximate solution. The uniform convergence of thisalgorithm is proved, and complexity analysis is done. Lastly, we show the validityand feasibility of the numerical algorithm by two numerical examples.
Preparation and Evaluation of Pectin-based Colon-specific Pulsatile Capsule In Vitro and In Vivo
Jing Liu,Liang-ke Zhang,Yuntao Jia,Wenjing Hu,Jing-qing Zhang,Huiming Jiang 대한약학회 2012 Archives of Pharmacal Research Vol.35 No.11
The purpose of this study was to develop and evaluate a colon-specific, pulsatile drug delivery system, which consists of an impermeable capsule body filled with a 5-aminosalicylic acid rapid-disintegrating tablet and a pectin-based erodible plug placed in the opening of the capsule body. To obtain an appropriate gel-forming ability and suitable lag time for the colon-specific drug delivery, high-methoxy pectin (HM-pectin) was formulated with lactose and lowmethoxy pectin (LM-pectin) with HPMC to prepare the plug tablet. In order to evaluate the lag time, prior to the rapid drug release, both the formulation of the plug tablet and in vitro release medium were studied. The lag time prior to the rapid drug release was mainly determined by the HM-pectin/lactose or LM-pectin/HPMC ratio. The addition of pectinase or rat cecal content into the release medium shortened the lag time significantly, which predicted the probable enzyme sensitivity of pectin plug tablet. In vivo studies showed that the plasma concentration of drug can only be detected 6 h after oral administration of the pulsatile capsule, which indirectly proved the colon-specific characteristics. These results show that the pulsatile capsule may have the therapeutic action for colon-specific drug delivery.