• 한국데이터정보과학회:학술대회논문집
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• 한국데이터정보과학회 2006년도 추계 학술발표회 논문집
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• pp.43-48
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• 2006

In 2001 US FDA proposed a draft guidance for future in vivo bioequivalence studies. The guidance suggested specific criteria for new drug sponsors to show prescribability and switchability in bioequivalence testing for approval of generic drugs. However, there is less acceptance of the need to change statistical procedures and study designs from those currently used to assess the current criterion of average bioequivalence. The measures of population and individual bioequivalence testing are introduced and statistical procedures for them are discussed.

• 응용통계연구
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• 제23권1호
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• pp.139-150
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• 2010

최근들어 복제약(generic drug)의 개발이 활발히 이루어지고 있다. 현재 국내 생물학적 동등성 시험은 기존의 오리지널제제에 대하여 개발된 복제약이 동일한 질(quality), 안전성(safety) 그리고 효과(efficucy)를 갖는다는 것을 평균 생물학적 동등성(ABE)에 기초하여 증명하고 있다. 그러나 최근에 생물학적 동등성의 개념이 기존의 오리지널제제에 대하여 바꾸어 복용(switchability)할 수 있다는 개인 생물학적 동등성(IBE)의 개념으로 확장되었다. 미국 식약청은 개인 생물학적 동등성(IBE)을 평가하기 위하여 $2\;{\times}\;4$ 교차설계법을 권장하고 있다. 그러나 $2\;{\times}\;4$ 교차설계법은 실험기간이 길기 때문에 비용이나 피험자관리에 여러 가지 문제가 있어 실험기간을 줄인 $2\;{\times}\;3$교차설계법과 Chow 등 (2002)의 $2\;{\times}\;3$ 잉여대조 (extra-reference) 설계법이 제안되었다. 본 논문에서는 실험기간이 짧으면서 개인 생동성을 평가할 수 있는 $3\;{\times}\;2$ 교차설계법을 제안하고 모의실험을 통하여 $2\;{\times}\;3$ 교차설계법과 $2\;{\times}\;3$ 잉여대조 설계법과 비교 및 그 결과를 고찰하였다.

• 응용통계연구
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• 제18권1호
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• pp.159-171
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• 2005

최근 미국을 위시한 선진국에서 제제간의 생물학적 동등성을 판단하는 기준이 생체 이용률의 평균치를 비교하는 시험에서 분산까지 같이 고려하는 기준으로 바뀌고 있다. 처방성과 교차사용성을 의미하는 모집단과 개인 생물학적 동등성이 바로 그것이다. US FDA에서는 2 × 4 교차설계법을 활용해서 제제간의 생동성을 입증하는 것을 추천하고 있다. 현재 US FDA에서 제안하고 있는 모집단 생물학적 동등성 평가 방법은 통계적으로 문제점을 가지고 있어 최근 Lee, Shao & Chow(2002), Chow, Shao & Wang(2003), 그리고 McNally, Iyer & Mathew(2002)에 의해서 수정된 평가 방법들이 제안되고 있다. 본 연구 논문에서는 그동안 제제간의 생물학적 동등성 평가 설계법이였던 2×2 교차설계법을 이용해서 모집단 생물학적 동등성을 평가하는 방법을 논의하고 최근 제안된 방법들을 모의실험을 통해 비교하여 가장 적절한 방법론을 제안한다.

• 한국임상약학회지
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• 제19권1호
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• pp.50-60
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• 2009

Highly variable drugs (within-subject variability greater than 30%) have been difficult to meet current regulatory acceptance criteria using a reasonable number of study subjects. In this study, we reviewed previous studies presenting alternative approaches for bioequivalence evaluation of highly variable drugs, and focused on an approach for widening the bioequivalence acceptance limits using within-subject variability. We discussed the suggested five solutions for highly variable drug including the deletion of $C_{max}$ of the bioequivalence criteria, direct expansion of bioequivalence limit, multiple dose studies in steady state, bioequivalence assessment on the metabolite, add-on study, and widening the bioequivalence acceptance limits based on reference variability. The methods for widening of bioequivalence limits based on reference variability are scaled average bioequivalence containing within-subject variability on reference drug (${\sigma}_{WR}$), population bioequivalence derived from total variability on reference drug (${\sigma}_{TR}$) and test drug (${\sigma}_{TT}$), and individual bioequivalence derived from subject by formulation interaction variability (${\sigma}_D$) and within subject variability on reference drug (${\sigma}_{WR}$) and test drug (${\sigma}_{TR}$). To apply these methods, the switching variability (${\sigma}_0$) will have to be set by the regulatory authorities. The proposals of bioequivalence evaluation approach for the highly variable in Korea are presented for both of new drug and reevaluation drug.

• Journal of the Korean Statistical Society
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• 제35권3호
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• pp.239-250
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• 2006

A $2{\times}2$ crossover design including carryover effect is considered for assessment of population bioequivalence of two drug formulations in a Bayesian framework. In classical analysis, it is complex to deal with the carryover effect since the estimate of the drug effect is biased in the presence of a carryover effect. The proposed method in this article uses uninformative priors and vague proper priors for objectiveness of priors and the posterior probability distribution of the parameters of interest is derived with given priors. The posterior probabilities of the hypotheses for assessing population bioequivalence are evaluated based on a Markov chain Monte Carlo simulation method. An example with real data set is given for illustration.

• 대한임상약리학회:학술대회논문집
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• 대한임상약리학회 1999년도 제8차 추계학술대회 및 정기총회
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• pp.26-26
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• 1999

• Journal of Pharmaceutical Investigation
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• 제28권4호
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• pp.223-229
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• 1998

A computer program for personal computers, $K-BEtest^{\circledR}$, was developed to analyze bioequivalence data in accordance with Korean Guidelines for Bioequivalence Test (KGBT). This program is user-friendly, interactive, Hangul-compatible and supports $2{\times}2$ cross-over design as well as $2{\times}2$ Latin square design with various significance levels. This program is able to calculate AUC, $C_{max}$ and $T_{max}$ parameters from the blood drug concentration-time profile of individual subjects and evaluate the parameters statistically for the bioequivalence by ${\pm}20%$ rule, the F-test, the Non-centrality test and 90% confidence intervals. All procedures are supported with graphic interface, interactive menu and outputs in Korean. In this paper, two experimental data sets were analyzed by the program and detailed process was demonstrated. The $K-BEtest^{\circledR}$ program appears to be very effective for analyzing bioequivalence data and can be widely used with convenience and accuracy.

• Journal of Pharmaceutical Investigation
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• 제39권4호
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• pp.233-242
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• 2009

Bioequivalence (BE) studies provide important information in the overall set of data that ensure the availability of safe and effective medicines to patients and practitioners. Thus its determination of proper criterion for assessing BE is very important. BE is frequently expressed or measured by estimating area under the plasma concentration-time curve (AUC) and maximum concentration ($C_{max}$) that are reflective of systemic exposure. In all countries except Canada, the acceptance criteria of BE is that the 90% confidence interval of difference in the average values of logarithmic AUC and $C_{max}$ between test and reference products is within the acceptable range of log(0.8) ${\sim}$ log(1.25). In Canada, unlike other countries, point estimation instead of applying 90% confidence interval is applied to assess $C_{max}$ which is, in essence, more variable than AUC. We also compared other parts of BE guidelines which include a fed study, average BE (ABE), scaled-ABE, population BE (PBE), individual BE (IBE), dropout & withdrawal, sampling frequency & time and number of subjects. This article reviews the most recent BE guidelines of Korea, USA, Europe, Canada and Japan, highlighting the differences focused on Korean BE guidelines compared to other countries. It will help us to revise BE guideline of Korea reflecting international trends. Finally, it is strongly recommended that the extended acceptance criterion for the highly variable drug among all the considering aspects for the revision of current BE guideline has to be adopted into Korea BE guideline in the nearest future.

• 한국임상약학회지
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• 제6권2호
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• pp.19-23
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• 1996

Carbamazepine is an anticonvulsant drug that has been shown to be as effective as phenytoin or phenobarbital in treatment of grand mal and complex partial seizures and is also approved as the drug of choice for treatment of the pain associated with trigerminal neuralgia. And the therapeutic or toxic effects of carbamazepine are better related to plasma concentration than to dosage, which can be attributed to interindividual variability in the pharmacokinetics. A slow rate of carbamazepine dissolution in the gastrointestinal tract is believed to be the cause of its relatively slow and erratic rate of absorption. For these reasons pharmacokinetic evaluation of newly formulated carbamazepine is neccessary. In this study, the bioequivalence in carbamazepine between the $TegretoI^{TM}$ CR tablet (Geigy Co.) and $Carmazepine^{TM}$ CR tablet (Myung In Co.) was evaluated. 12 normal volunteers (age $21\~27$ years old) was divided into two groups, and a randomized cross-over study was employed. The pharmacokinetic parameters ($C_{max},\;T_{max}$ and AUC) obtained of oral administration of each formulatim of carbamazepine 400 mg were evaluated and ANOVA was utilized for the statistical analysis of parameters. $C_{max}\;is\;8.26{\pm}3.1{\mu}g/ml\;(C.V.\;37.3\%)\;in\;TegretoI^{TM}\;and\;9.39\{pm}2.9{\mu}g/ml\;(C.V.\;30.5\%)$ in $Carmazepine^{TM},\;T_{max}\;is\;28.0{\pm}5.9\;hrs(C.V.\;21.1\%)$ in $Tegretol^{TM}\;and\;24.0{\pm}7.2\;hrs(C.V.\;30.2\%)$ in $Carmazepine^{TM}$ and AUC is $786.4{\pm}360.5{\mu}g{\cdot}hr/ml\;(C.V.\;45.8\%)$ in $TegretoI^{TM}\;and\;792.8{\pm}228.6{\mu}g{\cdot}hr/ml\;(C.V.\;28.8\%)$ in $Carmazepine^{TM}$, respectively. As the result of the data, two formulations are bioequvalent, and the lower C.V. of $Carmazepine^{TM}$ in every individual can be merit.

• 한국임상약학회지
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• 제8권2호
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• pp.107-112
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• 1998

Lovastatin is a lipid lowering agent for the treatment of hypercholesterolemia and belongs to a new class of pharmacologic compounds called the 3-hydroxy-3-methylglutaryl coenzyme A (HMG CoA) reductase inhibitors. By competitively inhibiting HMG CoA reductase, lovastatin disrupts the biosynthesis of cholesterol in hepatic and peripheral cells and increases the synthesis of high-density-lipoprotein HDL) receptors. Following oral administration, the lactone ring of lovastatin is hydrolysed to the active inhibitor of HMG CoA reductase, lovastatin acid. Lovastatin is known to have poor oral absorption and wide individual variation. In this study, bioequivalence test of two lovastatin formulations, the test drug ($Lovaload^{TM}$, Chong Kun Dang Pharmaceutical Co.) and the reference drug ($Mevacor^{TM}$, Chung Wae Pharmaceutical Co.) were conducted according to the guidelines of Korea Food and Drug Administration (KFDA). A total of 18 healthy male volunteers, $31.90\pm3.60$ years old and $72.17\;7.88$ kg of body weight in average, were evaluated in a randomized crossover manner with a 2-week washout period. Concentrations of lovastatin acid in plasma were measured upto 12 hours following a single oral administration of eight tablets (20 mg of lovastatin per tablet) by high-performance liquid chromatography with UV detection at 238 nm. The area under the concentration-vs-time curve from 0 to 12 hours $(AUC_{0-12h})$ was calculated by the trapezoidal summation method. The statistical analysis showed that there are no significant differences in $AUC_{0-12h),\;C_{max}\;and\;T_{max}$ between the two formulations ($6.72\%,\;1.52\%,\;and\;0.88\$, respectively). The least significant differences between the formulations at $\alpha$=0.05 were less than $20\%\;(11.65\%,\;19.73\%,\;and\;14.81\%\;for\;AUC_{0-12h},\;C_{max}\;and\;T_{max}$, respectively). The $90\%$ confidence intervals for these parameters were also within $\pm20\%\;(-1.50{\leq}{\delta}{\leq}15.00$, $-12.50{\leq}{\delta}{\leq}15.50,\;and\;-9.64{\leq}{\delta]{\leq}11.40{\leq}\;for\;\;AUC_{0-12h}$ ,$C_{max}\;and\;T_{max}$, respectively). In conclusion, the new generic product $Lovaload^{TM}$ was proven to be bioequivalent with the reference drug.