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An integrated modelling approach for targeted degradation: insights on optimization, data requirements and PKPD predictions from semi- or fully-mechanistic models and exact steady state solutions. 针对目标降解的集成建模方法:从半或完全机械模型和精确稳态解决方案中深入了解优化、数据要求和PKPD预测。
IF 2.5 4区 医学 Q3 PHARMACOLOGY & PHARMACY Pub Date : 2023-10-01 Epub Date: 2023-04-29 DOI: 10.1007/s10928-023-09857-9
Sofia Guzzetti, Pablo Morentin Gutierrez

The value of an integrated mathematical modelling approach for protein degraders which combines the benefits of traditional turnover models and fully mechanistic models is presented. Firstly, we show how exact solutions of the mechanistic models of monovalent and bivalent degraders can provide insight on the role of each system parameter in driving the pharmacological response. We show how on/off binding rates and degradation rates are related to potency and maximal effect of monovalent degraders, and how such relationship can be used to suggest a compound optimization strategy. Even convoluted exact steady state solutions for bivalent degraders provide insight on the type of observations required to ensure the predictive capacity of a mechanistic approach. Specifically for PROTACs, the structure of the exact steady state solution suggests that the total remaining target at steady state, which is easily accessible experimentally, is insufficient to reconstruct the state of the whole system at equilibrium and observations on different species (such as binary/ternary complexes) are necessary. Secondly, global sensitivity analysis of fully mechanistic models for PROTACs suggests that both target and ligase baselines (actually, their ratio) are the major sources of variability in the response of non-cooperative systems, which speaks to the importance of characterizing their distribution in the target patient population. Finally, we propose a pragmatic modelling approach which incorporates the insights generated with fully mechanistic models into simpler turnover models to improve their predictive ability, hence enabling acceleration of drug discovery programs and increased probability of success in the clinic.

介绍了蛋白质降解器综合数学建模方法的价值,该方法结合了传统周转模型和完全机械模型的优点。首先,我们展示了单价和二价降解物的机制模型的精确解如何能够深入了解每个系统参数在驱动药理学反应中的作用。我们展示了开启/关闭结合率和降解率如何与单价降解剂的效力和最大效果相关,以及如何利用这种关系来提出化合物优化策略。即使是二价降解物的复杂精确稳态解,也能深入了解确保机械方法预测能力所需的观测类型。特别是对于PROTAC,精确稳态解的结构表明,在稳态下的总剩余目标(很容易通过实验获得)不足以重建整个系统的平衡状态,有必要对不同物种(如二元/三元络合物)进行观察。其次,对PROTAC的全机制模型的全局敏感性分析表明,靶标和连接酶基线(实际上,它们的比率)是非合作系统反应变异的主要来源,这说明了表征它们在靶标患者群体中分布的重要性。最后,我们提出了一种实用的建模方法,将全机制模型产生的见解纳入更简单的周转模型中,以提高其预测能力,从而加快药物发现计划,提高临床成功的概率。
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引用次数: 2
Clinical validation of translational antibody PBPK model using tissue distribution data generated with 89Zr-immuno-PET imaging. 使用89Zr免疫PET成像生成的组织分布数据对翻译抗体PBPK模型进行临床验证。
IF 2.5 4区 医学 Q3 PHARMACOLOGY & PHARMACY Pub Date : 2023-10-01 Epub Date: 2023-06-29 DOI: 10.1007/s10928-023-09869-5
Shufang Liu, Zhe Li, Marc Huisman, Dhaval K Shah

The main objective of this manuscript was to validate the ability of the monoclonal antibody physiologically-based pharmacokinetic (PBPK) model to predict tissue concentrations of antibodies in the human. To accomplish this goal, preclinical and clinical tissue distribution and positron emission tomography imaging data generated using zirconium-89 (89Zr) labeled antibodies were obtained from the literature. First, our previously published translational PBPK model for antibodies was expanded to describe the whole-body biodistribution of 89Zr labeled antibody and the free 89Zr, as well as residualization of free 89Zr. Subsequently, the model was optimized using mouse biodistribution data, where it was observed that free 89Zr mainly residualizes in the bone and the extent of antibody distribution in certain tissues (e.g., liver and spleen) may be altered by labeling with 89Zr. The mouse PBPK model was scaled to rat, monkey, and human by simply changing the physiological parameters, and a priori simulations performed by the model were compared with the observed PK data. It was found that model predicted antibody PK in majority of the tissues in all the species superimposed over the observed data, and the model was also able to predict the PK of antibody in human tissues reasonably well. As such, the work presented here provides unprecedented evaluation of the antibody PPBK model for its ability to predict tissue PK of antibodies in the clinic. This model can be used for preclinical-to-clinical translation of antibodies and for prediction of antibody concentrations at the site-of-action in the clinic.

本文的主要目的是验证基于单克隆抗体生理学的药代动力学(PBPK)模型预测人体内抗体组织浓度的能力。为了实现这一目标,从文献中获得了使用锆-89(89Zr)标记的抗体生成的临床前和临床组织分布以及正电子发射断层扫描成像数据。首先,我们之前发表的抗体的翻译PBPK模型被扩展,以描述89Zr标记的抗体和游离89Zr的全身生物分布,以及游离89 Zr的残留。随后,使用小鼠生物分布数据对模型进行了优化,其中观察到游离的89Zr主要残留在骨骼中,并且抗体在某些组织(例如肝脏和脾脏)中的分布程度可以通过用89Zr标记来改变。通过简单地改变生理参数,将小鼠PBPK模型缩放到大鼠、猴子和人类,并将该模型进行的先验模拟与观察到的PK数据进行比较。研究发现,该模型预测了所有物种中大多数组织中的抗体PK,并叠加在观察到的数据上,该模型也能够很好地预测抗体在人体组织中的PK。因此,本文提出的工作为抗体PPBK模型在临床上预测抗体的组织PK的能力提供了前所未有的评估。该模型可用于抗体的临床前到临床转化以及用于预测临床中作用位点的抗体浓度。
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引用次数: 0
Population pharmacokinetic and pharmacokinetic-pharmacodynamic modeling of bempedoic acid and low-density lipoprotein cholesterol in healthy subjects and patients with dyslipidemia. 苯二酸和低密度脂蛋白胆固醇在健康受试者和血脂异常患者中的群体药代动力学和药代动力学药效学建模。
IF 2.5 4区 医学 Q3 PHARMACOLOGY & PHARMACY Pub Date : 2023-10-01 Epub Date: 2023-05-27 DOI: 10.1007/s10928-023-09864-w
Satyawan B Jadhav, Benny M Amore, Howard Bockbrader, Ryan L Crass, Sunny Chapel, William J Sasiela, Maurice G Emery

Population pharmacokinetics (popPK) of bempedoic acid and the popPK/pharmacodynamic (popPK/PD) relationship between bempedoic acid concentrations and serum low-density lipoprotein cholesterol (LDL-C) from baseline were characterized. A two-compartment disposition model with a transit absorption compartment and linear elimination best described bempedoic acid oral pharmacokinetics (PK). Multiple covariates, including renal function, sex, and weight, had statistically significant effects on the predicted steady-state area under the curve. Mild (estimated glomerular filtration rate (eGFR) 60 to < 90 mL/min vs. ≥ 90 mL/min) and moderate (eGFR 30 to < 60 mL/min vs. ≥ 90 mL/min) renal impairment, female sex, low (< 70 kg vs. 70-100 kg) and high (> 100 kg vs. 70-100 kg) body weight were predicted to have a 1.36-fold (90% confidence interval (CI) 1.32, 1.41), 1.85-fold (90% CI 1.74, 2.00), 1.39-fold (90% CI 1.34, 1.47), 1.35-fold (90% CI 1.30, 1.41), and 0.75-fold (90% CI 0.72, 0.79) exposure difference relative to their reference populations, respectively. An indirect response model described changes in serum LDL-C with a model-predicted 35% maximal reduction and bempedoic acid IC50 of 3.17 µg/mL. A 28% reduction from LDL-C baseline was predicted for a steady-state average concentration of 12.5 µg/mL after bempedoic acid (180 mg/day) dosing, accounting for approximately 80% of the predicted maximal LDL-C reduction. Concurrent statin therapy, regardless of intensity, reduced the maximal effect of bempedoic acid but resulted in similar steady-state LDL-C levels. While multiple covariates had statistically significant effects on PK and LDL-C lowering, none were predicted to warrant bempedoic acid dose adjustment.

研究了苯磺酸的群体药代动力学(popPK)以及苯磺酸浓度与血清低密度脂蛋白胆固醇(LDL-C)之间的popPK/PD关系。一个具有转运吸收区和线性消除的两区室配置模型最能描述苯磺酸口服药代动力学(PK)。多个协变量,包括肾功能、性别和体重,对预测的曲线下稳态面积有统计学显著影响。轻度(估计肾小球滤过率(eGFR)60至  100 kg与70-100 kg)体重的暴露差异预测为其参考人群的1.36倍(90%置信区间(CI)1.32,1.41)、1.85倍(90%CI 1.74,2.00)、1.39倍(90%CI1.34,1.47)、1.35倍(90%CI1.30,1.41和0.75倍(90%CI0.72,0.79)。一个间接反应模型描述了血清LDL-C的变化,该模型预测LDL-C最大降低35%,苯甲酸IC50为3.17µg/mL。苯甲酸(180 mg/天)给药后,稳态平均浓度为12.5µg/mL,LDL-C比基线降低28%,约占预测的最大LDL-C降低的80%。同时进行他汀类药物治疗,无论强度如何,都会降低贝米多酸的最大作用,但会导致类似的稳态LDL-C水平。虽然多个协变量对PK和LDL-C的降低有统计学意义的影响,但没有一个协变量被预测为需要调整苯磺酸剂量。
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引用次数: 1
Physiologically-based pharmacokinetic modeling to predict drug-drug interaction of enzalutamide with combined P-gp and CYP3A substrates. 基于生理学的药代动力学模型预测恩扎鲁胺与P-gp和CYP3A联合底物的药物相互作用。
IF 2.5 4区 医学 Q3 PHARMACOLOGY & PHARMACY Pub Date : 2023-10-01 Epub Date: 2023-06-21 DOI: 10.1007/s10928-023-09867-7
Yukio Otsuka, Srinivasu Poondru, Peter L Bonate, Rachel H Rose, Masoud Jamei, Fumihiko Ushigome, Tsuyoshi Minematsu

Enzalutamide is known to strongly induce cytochrome P450 3A4 (CYP3A4). Furthermore, enzalutamide showed induction and inhibition of P-glycoprotein (P-gp) in in vitro studies. A clinical drug-drug interaction (DDI) study between enzalutamide and digoxin, a typical P-gp substrate, suggested enzalutamide has weak inhibitory effect on P-gp substrates. Direct oral anticoagulants (DOACs), such as apixaban and rivaroxaban, are dual substrates of CYP3A4 and P-gp, and hence it is recommended to avoid co-administration of these DOACs with combined P-gp and strong CYP3A inducers. Enzalutamide's net effect on P-gp and CYP3A for apixaban and rivaroxaban plasma exposures is of interest to physicians who treat patients for venous thromboembolism with prostate cancer. Accordingly, a physiologically-based pharmacokinetic (PBPK) analysis was performed to predict the magnitude of DDI on apixaban and rivaroxaban exposures in the presence of 160 mg once-daily dosing of enzalutamide. The PBPK models of enzalutamide and M2, a major metabolite of enzalutamide which also has potential to induce CYP3A and P-gp and inhibit P-gp, were developed and verified as perpetrators of CYP3A-and P-gp-mediated interaction. Simulation results predicted a 31% decrease in AUC and no change in Cmax for apixaban and a 45% decrease in AUC and a 25% decrease in Cmax for rivaroxaban when 160 mg multiple doses of enzalutamide were co-administered. In summary, enzalutamide is considered to decrease apixaban and rivaroxaban exposure through the combined effects of CYP3A induction and net P-gp inhibition. Concurrent use of these drugs warrants careful monitoring for efficacy and safety.

已知恩扎鲁胺能强烈诱导细胞色素P4503A4(CYP3A4)。此外,恩扎鲁胺在体外研究中显示出对P-糖蛋白(P-gp)的诱导和抑制作用。恩扎鲁胺与地高辛(一种典型的P-gp底物)之间的临床药物相互作用(DDI)研究表明,恩扎鲁酰胺对P-gp底物的抑制作用较弱。直接口服抗凝剂(DOAC),如阿哌沙班和利伐沙班,是CYP3A4和P-gp的双重底物,因此建议避免将这些DOAC与P-gp和强CYP3A诱导剂联合给药。恩扎鲁胺对阿哌沙班和利伐沙班血浆暴露的P-gp和CYP3A的净影响是治疗前列腺癌症静脉血栓栓塞患者的医生感兴趣的。因此,进行了基于生理学的药代动力学(PBPK)分析,以预测在存在160 mg恩扎鲁胺每日一次给药的情况下阿哌沙班和利伐沙班暴露的DDI的幅度。恩扎鲁胺和M2的PBPK模型被开发并验证为CYP3A和P-gp介导的相互作用的肇事者,M2是恩扎鲁酰胺的主要代谢产物,也有可能诱导CYP3A和P-gp并抑制P-gp。模拟结果预测,当160 mg多剂量恩扎鲁胺联合给药时,阿哌沙班的AUC下降31%,Cmax没有变化,利伐沙班的AUC下降45%,Cmax下降25%。总之,恩扎鲁胺被认为通过CYP3A诱导和净P-gp抑制的联合作用来减少阿哌沙班和利伐沙班的暴露。同时使用这些药物需要仔细监测疗效和安全性。
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引用次数: 0
A two-stages global sensitivity analysis by using the δ sensitivity index in presence of correlated inputs: application on a tumor growth inhibition model based on the dynamic energy budget theory. 在存在相关输入的情况下,使用δ敏感性指数进行两阶段全局敏感性分析:基于动态能量预算理论的肿瘤生长抑制模型的应用。
IF 2.5 4区 医学 Q3 PHARMACOLOGY & PHARMACY Pub Date : 2023-10-01 Epub Date: 2023-07-09 DOI: 10.1007/s10928-023-09872-w
Alessandro De Carlo, Elena Maria Tosca, Nicola Melillo, Paolo Magni

Global sensitivity analysis (GSA) evaluates the impact of variability and/or uncertainty of the model parameters on given model outputs. GSA is useful for assessing the quality of Pharmacometric model inference. Indeed, model parameters can be affected by high (estimation) uncertainty due to the sparsity of data. Independence between model parameters is a common assumption of GSA methods. However, ignoring (known) correlations between parameters may alter model predictions and, then, GSA results. To address this issue, a novel two-stages GSA technique based on the δ index, which is well-defined also in presence of correlated parameters, is here proposed. In the first step, statistical dependencies are neglected to identify parameters exerting causal effects. Correlations are introduced in the second step to consider the real distribution of the model output and investigate also the 'indirect' effects due to the correlation structure. The proposed two-stages GSA strategy was applied, as case study, to a preclinical tumor-in-host-growth inhibition model based on the Dynamic Energy Budget theory. The aim is to evaluate the impact of the model parameter estimate uncertainty (including correlations) on key model-derived metrics: the drug threshold concentration for tumor eradication, the tumor volume doubling time and a new index evaluating the drug efficacy-toxicity trade-off. This approach allowed to rank parameters according to their impact on the output, discerning whether a parameter mainly exerts a causal or 'indirect' effect. Thus, it was possible to identify uncertainties that should be necessarily reduced to obtain robust predictions for the outputs of interest.

全局灵敏度分析(GSA)评估模型参数的可变性和/或不确定性对给定模型输出的影响。GSA可用于评估药效学模型推断的质量。事实上,由于数据的稀疏性,模型参数可能会受到高(估计)不确定性的影响。模型参数之间的独立性是GSA方法的一个常见假设。然而,忽略参数之间的(已知的)相关性可能会改变模型预测,然后改变GSA结果。为了解决这个问题,本文提出了一种基于δ指数的新的两阶段GSA技术,该技术在存在相关参数的情况下也得到了很好的定义。在第一步中,忽略统计相关性来识别产生因果效应的参数。在第二步中引入相关性,以考虑模型输出的真实分布,并研究由于相关性结构引起的“间接”影响。基于动态能量预算理论,将所提出的两阶段GSA策略应用于临床前宿主肿瘤生长抑制模型作为案例研究。目的是评估模型参数估计的不确定性(包括相关性)对关键模型衍生指标的影响:肿瘤根除的药物阈值浓度、肿瘤体积倍增时间和评估药物疗效-毒性权衡的新指标。这种方法允许根据参数对输出的影响对参数进行排序,判断参数主要是产生因果效应还是“间接”效应。因此,可以确定必须减少的不确定性,以获得对感兴趣的输出的稳健预测。
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引用次数: 0
International society of Pharmacometrics Mentorship Program (IMP): feedback survey from the first cohort of mentor-mentee pairs. 国际药物计量学学会师徒计划(IMP):第一组师徒对的反馈调查。
IF 2.5 4区 医学 Q3 PHARMACOLOGY & PHARMACY Pub Date : 2023-08-01 DOI: 10.1007/s10928-023-09880-w
Patrick O Hanafin, Ananya Murthy, Dhananjay Marathe, John K Diep, Anu Shilpa Krishnatry, Hoi-Kei Lon, Dhaval K Shah, Sihem Ait-Oudhia, Gauri G Rao

The International Society of Pharmacometrics (ISoP) Mentorship Program (IMP) aims to help professionals at all career stages to transition into the pharmacometrics field, move to a different role/area within pharmacometrics, or expand their skillsets. The program connects mentees at various stages of their careers with mentors based on established criteria for mentor-mentee matching. Pairing mentees with appropriate mentors ensures strong alignment between mentees' interests and mentors' expertise as this is critical to the success and continuation of the relationship between the mentor and mentee. Once mentors and mentees are connected, they are strongly encouraged to meet at least once per month for an hour. The mentor and mentee have the freedom to tailor their sessions to their liking, including frequency, duration, and topics they choose to focus on. Mentees are encouraged to clearly define their goals to help direct their mentor-mentee relationship and conversations. Mentees and mentors alike are given the opportunity to provide feedback about the program to the ISoP Education Committee through surveys and testimonials. Due to the program's infancy, structured guidelines for mentor-mentee sessions are still being developed and instituted using the program evaluation described in this paper.

国际药物计量学学会(ISoP)指导计划(IMP)旨在帮助所有职业阶段的专业人员过渡到药物计量学领域,在药物计量学中转移到不同的角色/领域,或扩展他们的技能。该项目根据既定的师徒配对标准,将处于职业生涯不同阶段的学员与导师联系起来。将学员与合适的导师配对,可以确保学员的兴趣和导师的专业知识之间的强烈一致性,因为这对导师和学员之间关系的成功和延续至关重要。一旦导师和学员建立了联系,我们强烈鼓励他们每月至少见面一次,每次一小时。导师和学员可以自由地根据自己的喜好定制他们的课程,包括频率、持续时间和他们选择关注的主题。我们鼓励学员清楚地定义他们的目标,以帮助指导他们的师徒关系和对话。学员和导师都有机会通过调查和推荐向ISoP教育委员会提供有关该计划的反馈。由于该计划尚处于起步阶段,指导-指导者会议的结构化指导方针仍在开发中,并使用本文中描述的计划评估建立起来。
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引用次数: 1
Operational characteristics of full random effects modelling ('frem') compared to stepwise covariate modelling ('scm'). 与逐步协变量模型(scm)相比,全随机效应模型(“frem”)的操作特性。
IF 2.5 4区 医学 Q3 PHARMACOLOGY & PHARMACY Pub Date : 2023-08-01 DOI: 10.1007/s10928-023-09856-w
Lisa F Amann, Sebastian G Wicha

An adequate covariate selection is a key step in population pharmacokinetic modelling. In this study, the automated stepwise covariate modelling technique ('scm') was compared to full random effects modelling ('frem'). We evaluated the power to identify a 'true' covariate (covariate with highest correlation to the pharmacokinetic parameter), precision, and accuracy of the parameter-covariate estimates. Furthermore, the predictive performance of the final models was assessed. The scenarios varied in covariate effect sizes, number of individuals (n = 20-500) and covariate correlations (0-90% cov-corr). The PsN 'frem' routine provides a 90% confidence intervals around the covariate effects. This was used to evaluate its operational characteristics for a statistical backward elimination procedure, defined as 'fremposthoc' and to facilitate the comparison to 'scm'. 'Fremposthoc' had a higher power to detect the true covariate with lower bias in small n studies compared to 'scm', applied with commonly used settings (forward p < 0.05, backward p < 0.01). This finding was vice versa in a statistically similar setting. For 'fremposthoc', power, precision and accuracy of the covariate coefficient increased with higher number of individuals and covariate effect magnitudes. Without a backward elimination step 'frem' models provided unbiased coefficients with highly imprecise coefficients in small n datasets. Yet, precision was superior to final 'scm' model precision obtained using common settings. We conclude that 'fremposthoc' is also a suitable method to guide covariate selection, although intended to serve as a full model approach. However, a deliberated selection of automated methods is essential for the modeller and using those methods in small datasets needs to be taken with caution.

适当的协变量选择是群体药代动力学建模的关键步骤。在本研究中,将自动逐步协变量建模技术(scm)与完全随机效应建模(frem)进行了比较。我们评估了识别“真实”协变量(与药代动力学参数相关性最高的协变量)的能力、精密度和参数协变量估计的准确性。此外,还对最终模型的预测性能进行了评估。这些情景在协变量效应大小、个体数量(n = 20-500)和协变量相关性(0-90% cov-corr)方面各不相同。PsN“frem”例程在协变量效应周围提供了90%的置信区间。这是用来评估其操作特性的统计反向消除程序,定义为“自由后置”,并促进与“scm”的比较。与“scm”相比,“Fremposthoc”在小n研究中具有更高的检测真实协变量的能力,偏差更低,应用常用设置(前向p posthoc),协变量系数的功率,精度和准确性随着个体数量和协变量效应大小的增加而增加。在没有反向消除步骤的情况下,“frem”模型在小n个数据集中提供了具有高度不精确系数的无偏系数。然而,精度优于使用普通设置获得的最终“scm”模型精度。我们得出结论,“frempostthoc”也是一种合适的方法来指导协变量选择,尽管打算作为一个完整的模型方法。然而,对于建模者来说,慎重选择自动化方法是必不可少的,在小数据集中使用这些方法需要谨慎。
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引用次数: 0
Joint longitudinal model-based meta-analysis of FEV1 and exacerbation rate in randomized COPD trials. COPD随机试验中FEV1和加重率的联合纵向模型meta分析。
IF 2.5 4区 医学 Q3 PHARMACOLOGY & PHARMACY Pub Date : 2023-08-01 DOI: 10.1007/s10928-023-09853-z
Carolina Llanos-Paez, Claire Ambery, Shuying Yang, Misba Beerahee, Elodie L Plan, Mats O Karlsson

Model-based meta-analysis (MBMA) is an approach that integrates relevant summary level data from heterogeneously designed randomized controlled trials (RCTs). This study not only evaluated the predictability of a published MBMA for forced expiratory volume in one second (FEV1) and its link to annual exacerbation rate in patients with chronic obstructive pulmonary disease (COPD) but also included data from new RCTs. A comparative effectiveness analysis across all drugs was also performed. Aggregated level data were collected from RCTs published between July 2013 and November 2020 (n = 132 references comprising 156 studies) and combined with data used in the legacy MBMA (published RCTs up to July 2013 - n = 142). The augmented data (n = 298) were used to evaluate the predictive performance of the published MBMA using goodness-of-fit plots for assessment. Furthermore, the model was extended including drugs that were not available before July 2013, estimating a new set of parameters. The legacy MBMA model predicted the post-2013 FEV1 data well, and new estimated parameters were similar to those of drugs in the same class. However, the exacerbation model overpredicted the post-2013 mean annual exacerbation rate data. Inclusion of year when the study started on the pre-treatment placebo rate improved the model predictive performance perhaps explaining potential improvements in the disease management over time. The addition of new data to the legacy COPD MBMA enabled a more robust model with increased predictability performance for both endpoints FEV1 and mean annual exacerbation rate.

基于模型的荟萃分析(MBMA)是一种整合来自异质设计随机对照试验(rct)的相关汇总水平数据的方法。本研究不仅评估了已发表的MBMA对慢性阻塞性肺疾病(COPD)患者一秒钟用力呼气量(FEV1)的可预测性及其与年加重率的关系,还纳入了新的随机对照试验的数据。还对所有药物进行了比较有效性分析。汇总水平数据来自2013年7月至2020年11月发表的随机对照试验(n = 132篇参考文献,包括156项研究),并结合传统MBMA中使用的数据(截至2013年7月发表的随机对照试验- n = 142)。扩充后的数据(n = 298)使用拟合优度图评估已发表的MBMA的预测性能。此外,将2013年7月之前未上市的药物纳入模型,估计了一组新的参数。传统的MBMA模型可以很好地预测2013年后的FEV1数据,新的估计参数与同类药物的估计参数相似。然而,加重模型高估了2013年后的年平均加重率数据。纳入治疗前安慰剂率研究开始的年份改善了模型的预测性能,这可能解释了随着时间的推移疾病管理的潜在改善。将新数据添加到传统COPD MBMA中,使模型更加稳健,在终点FEV1和平均年加重率方面都具有更高的可预测性。
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引用次数: 0
Comparison of sequential and joint nonlinear mixed effects modeling of tumor kinetics and survival following Durvalumab treatment in patients with metastatic urothelial carcinoma. 转移性尿路上皮癌患者Durvalumab治疗后肿瘤动力学和生存的顺序和联合非线性混合效应模型的比较。
IF 2.5 4区 医学 Q3 PHARMACOLOGY & PHARMACY Pub Date : 2023-08-01 DOI: 10.1007/s10928-023-09848-w
Ting Chen, Yanan Zheng, Lorin Roskos, Donald E Mager

Standard endpoints such as objective response rate are usually poorly correlated with overall survival (OS) for treatment with immune checkpoint inhibitors. Longitudinal tumor size may serve as a more useful predictor of OS, and establishing a quantitative relationship between tumor kinetics (TK) and OS is a crucial step for successfully predicting OS based on limited tumor size measurements. This study aims to develop a population TK model in combination with a parametric survival model by sequential and joint modeling approaches to characterize durvalumab phase I/II data from patients with metastatic urothelial cancer, and to evaluate and compare the performance of the two modeling approaches in terms of parameter estimates, TK and survival predictions, and covariate identification. The tumor growth rate constant was estimated to be greater for patients with OS ≤ 16 weeks as compared to that for patients with OS > 16 weeks with the joint modeling approach (kg= 0.130 vs. 0.0551 week-1, p-value < 0.0001), but similar for both groups (kg = 0.0624 vs.0.0563 week-1, p-value = 0.37) with the sequential modeling approach. The predicted TK profiles by joint modeling appeared better aligned with clinical observations. Joint modeling also predicted OS more accurately than the sequential approach according to concordance index and Brier score. The sequential and joint modeling approaches were also compared using additional simulated datasets, and survival was predicted better by joint modeling in the case of a strong association between TK and OS. In conclusion, joint modeling enabled the establishment of a robust association between TK and OS and may represent a better choice for parametric survival analyses over the sequential approach.

标准终点如客观缓解率通常与免疫检查点抑制剂治疗的总生存期(OS)相关性较差。纵向肿瘤大小可以作为更有用的OS预测指标,建立肿瘤动力学(TK)和OS之间的定量关系是基于有限的肿瘤大小测量成功预测OS的关键一步。本研究旨在通过顺序和联合建模方法建立群体TK模型与参数生存模型相结合,以表征转移性尿路上皮癌患者的durvalumab I/II期数据,并在参数估计、TK和生存预测以及协变量识别方面评估和比较两种建模方法的性能。据估计,与连续建模方法相比,生存期≤16周的患者肿瘤生长速率常数更大(kg= 0.130 vs. 0.0551 week-1, p值g= 0.0624 vs.0.0563 week-1, p值= 0.37)。关节模型预测的TK谱与临床观察结果吻合较好。根据一致性指数和Brier评分,联合建模比序列方法更准确地预测OS。使用额外的模拟数据集对顺序建模和联合建模方法进行了比较,在TK和OS之间存在强关联的情况下,联合建模可以更好地预测生存率。总之,联合建模能够建立TK和OS之间的强大关联,并且可能是比序列方法更好的参数生存分析选择。
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引用次数: 1
Implementation of non-linear mixed effects models defined by fractional differential equations. 由分数阶微分方程定义的非线性混合效应模型的实现。
IF 2.5 4区 医学 Q3 PHARMACOLOGY & PHARMACY Pub Date : 2023-08-01 DOI: 10.1007/s10928-023-09851-1
Christos Kaikousidis, Aristides Dokoumetzidis

Fractional differential equations (FDEs), i.e. differential equations with derivatives of non-integer order, can describe certain experimental datasets more accurately than classic models and have found application in pharmacokinetics (PKs), but wider applicability has been hindered by the lack of appropriate software. In the present work an extension of NONMEM software is introduced, as a FORTRAN subroutine, that allows the definition of nonlinear mixed effects (NLME) models with FDEs. The new subroutine can handle arbitrary user defined linear and nonlinear models with multiple equations, and multiple doses and can be integrated in NONMEM workflows seamlessly, working well with third party packages. The performance of the subroutine in parameter estimation exercises, with simple linear and nonlinear (Michaelis-Menten) fractional PK models has been evaluated by simulations and an application to a real clinical dataset of diazepam is presented. In the simulation study, model parameters were estimated for each of 100 simulated datasets for the two models. The relative mean bias (RMB) and relative root mean square error (RRMSE) were calculated in order to assess the bias and precision of the methodology. In all cases both RMB and RRMSE were below 20% showing high accuracy and precision for the estimates. For the diazepam application the fractional model that best described the drug kinetics was a one-compartment linear model which had similar performance, according to diagnostic plots and Visual Predictive Check, to a three-compartment classic model, but including four less parameters than the latter. To the best of our knowledge, it is the first attempt to use FDE systems in an NLME framework, so the approach could be of interest to other disciplines apart from PKs.

分数阶微分方程(FDEs),即导数为非整数阶的微分方程,可以比经典模型更准确地描述某些实验数据集,并已在药代动力学(PKs)中得到应用,但由于缺乏适当的软件,其更广泛的适用性受到阻碍。在本工作中,介绍了NONMEM软件的扩展,作为FORTRAN子程序,允许使用fde定义非线性混合效应(NLME)模型。新的子程序可以处理任意用户定义的具有多个方程和多个剂量的线性和非线性模型,并且可以无缝集成到NONMEM工作流程中,与第三方软件包配合良好。子程序在参数估计练习中的性能,用简单的线性和非线性(Michaelis-Menten)分数PK模型进行了模拟评估,并将其应用于安定的实际临床数据集。在模拟研究中,对两种模型的100个模拟数据集分别进行了模型参数估计。计算相对平均偏倚(RMB)和相对均方根误差(RRMSE),以评估方法的偏倚和精度。在所有情况下,人民币和RRMSE都低于20%,显示出较高的准确性和精度。对于地西泮的应用,最能描述药物动力学的分数模型是一个单室线性模型,根据诊断图和视觉预测检查,它与三室经典模型具有相似的性能,但比后者包含的参数少4个。据我们所知,这是第一次尝试在NLME框架中使用FDE系统,因此该方法可能对PKs以外的其他学科感兴趣。
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引用次数: 0
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Journal of Pharmacokinetics and Pharmacodynamics
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