Pharmacometrics, Pfizer, Inc, Eastern Point Road, Groton, CT 06340, USA.
J Clin Pharmacol. 2012 Jun;52(6):880-92. doi: 10.1177/0091270011407193. Epub 2011 Jun 6.
The purpose of this study was to describe longitudinal daily seizure count data with respect to the effects of time and pregabalin add-on therapy. Models were developed in a stepwise manner: base model, time effect model, and time and drug effect (final) model, using a negative binomial distribution with Markovian features. Mean daily seizure count (λ) was estimated to be 0.385 (relative standard error [RSE] 3.09%) and was further increased depending on the seizure count on the previous day. An overdispersion parameter (OVDP), representing extra-Poisson variation, was estimated to be 0.330 (RSE 11.7%). Interindividual variances on λ and OVDP were 84.7% and 210%, respectively. Over time, λ tended to increase exponentially with a rate constant of 0.272 year⁻¹ (RSE 26.8%). A mixture model was applied to classify responders/nonresponders to pregabalin treatment. Within the responders, λ decreased exponentially with respect to dose with a constant of 0.00108 mg⁻¹ (RSE 11.9%). The estimated responder rate was 66% (RSE 27.6%). Simulation-based diagnostics showed the model reasonably reproduced the characteristics of observed data. Highly variable daily seizure frequency was successfully characterized incorporating baseline characteristics, time effect, and the effect of pregabalin with classification of responders/nonresponders, all of which are necessary to adequately assess the efficacy of antiepileptic drugs.
本研究旨在描述与时间和普瑞巴林附加治疗效果相关的纵向每日癫痫发作次数数据。采用具有马尔可夫特征的负二项式分布,以逐步方式建立模型:基础模型、时间效应模型和时间与药物效应(最终)模型。每日癫痫发作次数(λ)的平均值估计为 0.385(相对标准误差 [RSE] 为 3.09%),并且根据前一天的癫痫发作次数进一步增加。估计离散参数(OVDP)表示额外的泊松变异,为 0.330(RSE 为 11.7%)。个体间在 λ和 OVDP 上的方差分别为 84.7%和 210%。随着时间的推移,λ呈指数增长,速率常数为 0.272 年⁻¹(RSE 为 26.8%)。应用混合模型对普瑞巴林治疗的应答者/无应答者进行分类。在应答者中,λ随剂量呈指数下降,常数为 0.00108 mg⁻¹(RSE 为 11.9%)。估计的应答者比例为 66%(RSE 为 27.6%)。基于模拟的诊断表明,该模型合理地再现了观察数据的特征。通过纳入基线特征、时间效应和普瑞巴林的作用以及应答者/无应答者的分类,成功地描述了高度可变的每日癫痫发作频率,这对于充分评估抗癫痫药物的疗效是必要的。