• Title/Summary/Keyword: trapezoidal rule method

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Bioequivalence Evaluation of Two Brands of Zolpidem Tartrate 10 mg Tablets(Zanilo and Stilnox) in Healthy Male Volunteers

  • Ryu, Ju-Hee;Lee, Heon-Woo;Lee, Hyun-Su;Kang, Il-Mo;Seo, Ji-Hyung;Kang, Jin-Yang;Lee, Kyung-Tae
    • Journal of Pharmaceutical Investigation
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    • v.36 no.5
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    • pp.343-348
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    • 2006
  • The purpose of the present study was to evaluate the bioequivalence of two zolpidem tartrate tablets, Stilnox tablet(Sanofi-aventis Korea, reference product) and Zanilo tablet(ChoDang Pharm Co., Ltd., Korea, test product), according to the guidelines of Korea Food and Drug Administration(KFDA). After adding an internal standard(cimetropium), 250 ${\mu}L$ plasma samples were extracted using 1.3 mL of ethyl acetate. Extracted compounds were analyzed by HPLC with triple-quadrupole mass spectrometry. This method for determination of zolpidem is proved accurate and reproducible with the limit of quantitation of 1 ng/mL in human plasma. Twenty-four healthy male Korean volunteers received each medicine at the zolpidem tartrate dose of 10 mg in a $2{\times}2$ crossover study. There was one-week washout period between the doses. Plasma concentrations of zolpidem were monitored for over a period of 8 hr after the administration. $AUC_{0-t}$(the area under the plasma concentration-time curve) was calculated by the linear trapezoidal rule. $C_{max}$(maximum plasma drug concentration) and $T_{max}$(time to reach $C_{max}$) were compiled from the plasma concentration-time data. Analysis of variance was carried out using logarithmically transformed $AUC_{0-t}$ and $C_{max}$. No significant sequence effect was found for all of the bio-availability parameters indicating that the crossover design was properly performed. The 90% confidence intervals for the log transformed data were acceptable range of log 0.8 to log 1.25(e.g., log 0.92-log 1.06 for $AUC_{0-t}$, log 0.96-log 1.13 for $C_{max}$). The major parameters, $AUC_{0-t}$ and $C_{max}$ met the criteria of KFDA for bioequivalence indicating that Zanilo tablet is bioequivalent to Stilnox tablet.

Bioequivalence of RoxithrinTM Tablet to RulidTM Tablet (Roxithromycin 150 mg) (루리드 정(록시스로마이신 150 mg)에 대한 록시스린 정의 생물학적동등성)

  • Joung, Sun-Koung;Lee, Yun-Young;Cho, Tae-Seob;Kim, Ho-Hyun;Lee, Ye-Rie;Lee, Kyung-Ryul;Lee, Hee-Joo
    • Journal of Pharmaceutical Investigation
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    • v.34 no.3
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    • pp.209-214
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    • 2004
  • A bioequivalence study of $Roxithrin^{TM}$ tablet (Kukje Pharma. Ind. Co., Ltd.) to $Rulid^{TM}$ tablet (Han Dok Pharma. Ind. Co., Ltd.) was conducted according to the guidelines of Korea Food and Drug Administration (KFDA). Twenty four healthy male Korean volunteers received each medicine at the roxithromycin dose of 300 mg in a $2{\times}2$ crossover study. There was a one-week wash-out period between the doses. Plasma concentrations of roxithromycin were monitored by a high-performance liquid chromatography for over a period of 36 hours after drug administration. $AUC_t$ (the area under the plasma concentration-time curve from time zero to 36 hr) was calculated by the linear trapezoidal rule method. $C_{max}$ (maximum plasma drug concentration) and $T_{max}$ (time to reach $C_{max}$) were compiled from the plasma concentration-time data. Analysis of variance was carried out using logarithmically transformed $AUC_t$ and $C_{max}$. No significant sequence effect was found for all of the bioavailability parameters indicating that the cross-over design was properly performed. The 90% confidence intervals of the $AUC_t$ ratio and the $C_{max}$ ratio for $Roxithrin^{TM}/Rulid^{TM}$ were 1.00 - 1.13 and 0.98 - 1.10, respectively. These values were within the acceptable bioequivalence intervals of 0.80 - 1.25. Thus, our study demonstrated the bioequivalence of $Roxithrin^{TM}$ and $Rulid^{TM}$ with respect to the rate and extent of absorption.

Bioequivalence of Etodin Capsule to Kuhnillodin Capsule (Etodolac 200 mg) (건일로딘 캡슐(에토돌락 200mg)에 대한 에토딘 캡슐의 생물학적동등성)

  • Lee, Myung-Jae;Kang, Jong-Min;Choi, Sang-Jun;Lee, Jin-Sung;Tak, Sung-Kwon;Seo, Ji-Hyung;Rew, Jae-Hwan;Yim, Sung-Vin;Lee, Kyung-Tae
    • Journal of Pharmaceutical Investigation
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    • v.38 no.6
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    • pp.421-427
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    • 2008
  • The purpose of the present study was to evaluate the bioequivalence of two etodolac capsules, Kuhnillodin capsule (Kuhnil. Co., Ltd., Seoul, Korea) as reference drug and Etodin capsule (Myungmun Pharm. Co., Ltd., Seoul, Korea) as test drug, according to the guidelines of Korea Food and Drug Administration (KFDA). Twenty-three healthy male Korean volunteers received one capsule at the dose of 200 mg etodolac in a $2{\times}2$ crossover study. There was a one-week washout period between the doses. Plasma concentrations of etodolac were monitored by a high performance liquid chromatography-tandem mass spectrometry (LC-MS/MS) for over a period of 24 hr after the administration. $AUC_{0-24\;hr}$ was calculated by the linear trapezoidal rule method. $C_{max}$ and $T_{max}$ were compiled from the plasma concentration-time data. Analysis of variance (ANOVA) was carried out using logarithmically transformed $AUC_{0-24\;hr}$ and $C_{max}$. The 90% confidence intervals of the $AUC_{0-24\;hr}$ ratio and the $C_{max}$ ratio for Etodin/Kuhnillodin were $\log\;0.97{\sim}\log\;1.08$ and $\log\;0.89{\sim}\log\;1.19$, respectively. These values were within the acceptable bioequivalence intervals of $\log\;0.80{\sim}\log\;1.25$. Thus, our study demonstrated that Etodin was bioeqiovalent to Kuhnillodin preparation when the rate and extent of absorption between two preparations were compared.

Bioequivalence of EtodolTM Tablet to KuhnillodineTM Tablet (Micronized Etodolac 200 mg) (건일로딘 정(미결정에토돌락 200 mg)에 대한 에토돌 정의 생물학적동등성)

  • Lee, Jung-Ae;Lee, Yun-Young;Cho, Tae-Seob;Park, Young-Joon;Moon, Byoung-Seok;Kim, Ho-Hyun;Lee, Ye-Rie;Lee, Hee-Joo;Lee, Kyung-Ryul
    • Journal of Pharmaceutical Investigation
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    • v.34 no.4
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    • pp.319-325
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    • 2004
  • A bioequivalence of $Etodol^{TM}$ tablets (Yuhan corporation) and $Kuhnillodine^{TM}$ tablets (Kuhnil Pharm. Co., Ltd.) was evaluated according to the guideline of Korea Food and Drug Administration (KFDA). Single 200 mg dose of etodolac of each medicine was administered orally to 24 healthy male volunteers. This study was performed in a $2{\times}2$ crossover design. Concentrations of etodolac in human plasma were monitored by a high-performance liquid chromatography. $AUC_t$ (the area under the plasma concentration-time curve from time zero to 24 hr) was calculated by the linear trapezoidal rule method. $C_{max}$ (maximum plasma drug concentration) and $T_{max}$ (time to reach $C_{max}$) were compiled from the plasma concentration-time data. Analysis of variance was performed using logarithmically transformed $AUC_t$ and $C_{max}$. No significant sequence effect was found for all of the bioavailability parameters. The 90% confidence intervals of the $AUC_t$ ratio and the $C_{max}$ ratio for $Etodol^{TM}/Kuhnillodine^{TM}$ were 1.01-1.10 and 0.87-1.06, respectively. This study demonstrated a bioequivalence of $Etodol^{TM}$ and $Kuhnillodine^{TM}$ with respect to the rate and extent of absorption.

Bioequivalence of BestidineTM Tablet to Dong-A GasterTM Tablet (Famotidine 20 mg) (동아가스터 정(파모티딘 20 mg)에 대한 베스티딘 정의 생물학적동등성)

  • Park, Chang-Hun;Joung, Sun-Koung;Choi, Mee-Hee;Kim, Ho-Hyun;Lee, Ye-Rie;Lee, Hee-Joo;Lee, Kyung-Ryul
    • Journal of Pharmaceutical Investigation
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    • v.34 no.6
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    • pp.505-511
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    • 2004
  • A bioequivalence study of $Bestidine^{TM}$ tablets (Choong Wae Pharma. Corp., Korea) to Dong-A $Gaster^{TM}$ (Dong-A Pharmaceutical Co., Ltd., Korea) tablets was conducted according to the guidelines of Korea Food and Drug Administration (KFDA). Twenty four healthy male Korean volunteers received each medicine at the famotidine dose of 40 mg in a $2{\times}2$ crossover study. There was a one-week wash out period between the doses. Plasma concentrations of famotidine were monitored by a high-performance liquid chromatography for over a period of 12 hours after the administration. $AUC_t$ (the area under the plasma concentration-time curve from time zero to 12 hr) was calculated by the linear trapezoidal rule method. $C_{max}$ (maximum plasma drug concentration) and $T_{max}$ (time to reach $C_{max}$) were compiled from the plasma concentration-time data. Analysis of variance was carried out using logarithmically transformed $AUC_t$ and $C_{max}$. No significant sequence effect was found for all of the bioavailability parameters indicating that the crossover design was properly performed. The 90% confidence intervals of the $AUC_t$ ratio and the Cmax ratio for $Bestidine^{TM}/Gaster^{TM}$ were log 0.90-log 1.06 and log 0.98-log 1.20, respectively. These values were within the acceptable bioequivalence intervals of 0.80-1.25. Thus, our study demonstrated the bioequivalence of $Bestidine^{TM}$ and $Gaster^{TM}$ with respect to the rate and extent of absorption.

Memory Organization for a Fuzzy Controller.

  • Jee, K.D.S.;Poluzzi, R.;Russo, B.
    • Proceedings of the Korean Institute of Intelligent Systems Conference
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    • 1993.06a
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    • pp.1041-1043
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    • 1993
  • Fuzzy logic based Control Theory has gained much interest in the industrial world, thanks to its ability to formalize and solve in a very natural way many problems that are very difficult to quantify at an analytical level. This paper shows a solution for treating membership function inside hardware circuits. The proposed hardware structure optimizes the memoried size by using particular form of the vectorial representation. The process of memorizing fuzzy sets, i.e. their membership function, has always been one of the more problematic issues for the hardware implementation, due to the quite large memory space that is needed. To simplify such an implementation, it is commonly [1,2,8,9,10,11] used to limit the membership functions either to those having triangular or trapezoidal shape, or pre-definite shape. These kinds of functions are able to cover a large spectrum of applications with a limited usage of memory, since they can be memorized by specifying very few parameters ( ight, base, critical points, etc.). This however results in a loss of computational power due to computation on the medium points. A solution to this problem is obtained by discretizing the universe of discourse U, i.e. by fixing a finite number of points and memorizing the value of the membership functions on such points [3,10,14,15]. Such a solution provides a satisfying computational speed, a very high precision of definitions and gives the users the opportunity to choose membership functions of any shape. However, a significant memory waste can as well be registered. It is indeed possible that for each of the given fuzzy sets many elements of the universe of discourse have a membership value equal to zero. It has also been noticed that almost in all cases common points among fuzzy sets, i.e. points with non null membership values are very few. More specifically, in many applications, for each element u of U, there exists at most three fuzzy sets for which the membership value is ot null [3,5,6,7,12,13]. Our proposal is based on such hypotheses. Moreover, we use a technique that even though it does not restrict the shapes of membership functions, it reduces strongly the computational time for the membership values and optimizes the function memorization. In figure 1 it is represented a term set whose characteristics are common for fuzzy controllers and to which we will refer in the following. The above term set has a universe of discourse with 128 elements (so to have a good resolution), 8 fuzzy sets that describe the term set, 32 levels of discretization for the membership values. Clearly, the number of bits necessary for the given specifications are 5 for 32 truth levels, 3 for 8 membership functions and 7 for 128 levels of resolution. The memory depth is given by the dimension of the universe of the discourse (128 in our case) and it will be represented by the memory rows. The length of a world of memory is defined by: Length = nem (dm(m)+dm(fm) Where: fm is the maximum number of non null values in every element of the universe of the discourse, dm(m) is the dimension of the values of the membership function m, dm(fm) is the dimension of the word to represent the index of the highest membership function. In our case then Length=24. The memory dimension is therefore 128*24 bits. If we had chosen to memorize all values of the membership functions we would have needed to memorize on each memory row the membership value of each element. Fuzzy sets word dimension is 8*5 bits. Therefore, the dimension of the memory would have been 128*40 bits. Coherently with our hypothesis, in fig. 1 each element of universe of the discourse has a non null membership value on at most three fuzzy sets. Focusing on the elements 32,64,96 of the universe of discourse, they will be memorized as follows: The computation of the rule weights is done by comparing those bits that represent the index of the membership function, with the word of the program memor . The output bus of the Program Memory (μCOD), is given as input a comparator (Combinatory Net). If the index is equal to the bus value then one of the non null weight derives from the rule and it is produced as output, otherwise the output is zero (fig. 2). It is clear, that the memory dimension of the antecedent is in this way reduced since only non null values are memorized. Moreover, the time performance of the system is equivalent to the performance of a system using vectorial memorization of all weights. The dimensioning of the word is influenced by some parameters of the input variable. The most important parameter is the maximum number membership functions (nfm) having a non null value in each element of the universe of discourse. From our study in the field of fuzzy system, we see that typically nfm 3 and there are at most 16 membership function. At any rate, such a value can be increased up to the physical dimensional limit of the antecedent memory. A less important role n the optimization process of the word dimension is played by the number of membership functions defined for each linguistic term. The table below shows the request word dimension as a function of such parameters and compares our proposed method with the method of vectorial memorization[10]. Summing up, the characteristics of our method are: Users are not restricted to membership functions with specific shapes. The number of the fuzzy sets and the resolution of the vertical axis have a very small influence in increasing memory space. Weight computations are done by combinatorial network and therefore the time performance of the system is equivalent to the one of the vectorial method. The number of non null membership values on any element of the universe of discourse is limited. Such a constraint is usually non very restrictive since many controllers obtain a good precision with only three non null weights. The method here briefly described has been adopted by our group in the design of an optimized version of the coprocessor described in [10].

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