Department of Mathematics, University of Utah, Salt Lake City, UT, 84112, USA.
J Pharmacokinet Pharmacodyn. 2022 Aug;49(4):429-444. doi: 10.1007/s10928-022-09812-0. Epub 2022 Jun 20.
Missed doses, late doses, and other dosing irregularities are major barriers to effective pharmacotherapy, especially for the treatment of chronic conditions. What should a patient do if they did not take their last dose at the prescribed time? Should they take it late or skip it? In this paper, we investigate the pharmacokinetic effects of taking a late dose. We consider a single compartment model with linear absorption and elimination for a patient instructed to take doses at regular time intervals. We suppose that the patient forgets to take a dose and then realizes some time later and must decide what remedial steps to take. Using mathematical analysis, we derive several metrics which quantify the effects of taking the dose late. The metrics involve the difference between the drug concentration time courses for the case that the dose is taken late and the case that the dose is taken on time. In particular, the metrics are the integral of the absolute difference over all time, the maximum of the difference, and the maximum of the integral of the difference over any single dosing interval. We apply these general mathematical formulas to levothyroxine, atorvastatin, and immediate release and extended release formulations of lamotrigine. We further show how population variability can be immediately incorporated into these results. Finally, we use this analysis to propose general principles and strategies for dealing with dosing irregularities.
漏服、迟服和其他用药不规律是影响药物治疗效果的主要障碍,特别是在治疗慢性疾病时。如果患者没有在规定时间服用最后一剂,应该补服还是跳过?在本文中,我们研究了迟服的药代动力学效应。我们考虑了一个具有线性吸收和消除的单室模型,用于指导患者在规定的时间间隔内服药。假设患者忘记服药,然后过了一段时间才意识到,必须决定采取什么补救措施。我们使用数学分析,推导出了几个量化迟服剂量影响的指标。这些指标涉及到在迟服和按时服药的情况下药物浓度时间曲线之间的差异。具体来说,指标是在所有时间内的绝对差的积分、差的最大值和任何单个给药间隔内差的积分的最大值。我们将这些一般的数学公式应用于左甲状腺素、阿托伐他汀以及拉莫三嗪的速释和缓释制剂。我们进一步展示了如何立即将人群变异性纳入这些结果。最后,我们使用这种分析方法提出了处理用药不规律的一般原则和策略。