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Catalyzing change in MID3 through globalization, education, and innovation. 通过全球化、教育和创新促进MID3的变革。
IF 2.8 4区 医学 Q3 PHARMACOLOGY & PHARMACY Pub Date : 2025-12-16 DOI: 10.1007/s10928-025-10014-7
Douglas W Chung, Sihem Ait-Oudhia, Doug Chung

The landscape of pharmaceutical research and drug development is undergoing a significant evolution, with Model-Informed Drug Discovery and Development (MID3) as a transformative approach to accelerate innovation. Realizing the full potential of MID3 required a concerted global effort to enhance education, foster collaboration, and drive scientific advancement. In this issue, we propose that true progress and equitable outcomes hinge on embracing a multifaceted approach, encompassing not only the inclusion of data from diverse patient populations, such as pediatric and pregnant individuals, but also fostering an inclusive environment for a globally diverse group of scientists. We highlight the critical role of globalization in expanding pharmacometrics collaborations across national boundaries and cultural contexts, recognizing that varied perspectives and expertise drive richer insights. Furthermore, we emphasize the importance of equitable access to education and training, particularly for non-native English-speaking institutions, in cultivating a truly global talent pool. Finally, we demonstrate how this expanded diversity fuels innovation, encouraging the adoption of a broader spectrum of quantitative approaches-from classical PK/PD to Physiologically Based Pharmacokinetics (PBPK), Quantitative Systems Pharmacology and Toxicology (QSP/T), and artificial intelligence driven modeling, thereby addressing complex biological challenges and ultimately achieving the "right dose for the right patient at the right time." This editorial emphasizes that by intentionally integrating globalization, education, and innovation, the pharmacometrics community can catalyze profound change in MID3, leading to more effective and inclusive medicines for all.

药物研究和药物开发领域正在经历重大变革,基于模型的药物发现和开发(MID3)是加速创新的变革性方法。实现MID3的全部潜力需要全球共同努力,加强教育,促进合作,推动科学进步。在本期中,我们提出,真正的进步和公平的结果取决于采用多方面的方法,不仅包括来自不同患者群体的数据,如儿科和孕妇,还包括为全球多样化的科学家群体营造一个包容的环境。我们强调全球化在扩大跨国界和文化背景的药物计量学合作方面的关键作用,认识到不同的观点和专业知识可以带来更丰富的见解。此外,我们强调公平获得教育和培训的重要性,特别是对非英语母语机构而言,这对于培养真正的全球人才库至关重要。最后,我们展示了这种扩大的多样性如何推动创新,鼓励采用更广泛的定量方法——从经典的PK/PD到基于生理的药代动力学(PBPK),定量系统药理学和毒理学(QSP/T),以及人工智能驱动的建模,从而解决复杂的生物学挑战,最终实现“在正确的时间为正确的患者提供正确的剂量”。这篇社论强调,通过有意地整合全球化、教育和创新,药物计量学界可以促进MID3的深刻变化,从而为所有人提供更有效和更具包容性的药物。
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引用次数: 0
Aggregate data modelling: A fast implementation for fitting pharmacometrics models to summary-level data in R. 聚合数据建模:在R中快速实现将药物计量学模型拟合到摘要级数据。
IF 2.8 4区 医学 Q3 PHARMACOLOGY & PHARMACY Pub Date : 2025-12-09 DOI: 10.1007/s10928-025-10011-w
Hidde van de Beek, Pyry A J Välitalo, J G Coen van Hasselt, Laura B Zwep

Pharmacometric modelling is traditionally performed using individual level data. Recently a new method was developed to fit pharmacometric models to summary level - or aggregate - data. This methodology allows for jointly modelling different data sources, once transformed into aggregate data. As such, the method can be applied to a combination of individual data, pharmacometric models, and aggregate data. In this study we aimed to (1) implement this methodological framework into an accessible R package (admr) and (2) develop a novel algorithm with enhanced computational efficiency. The developed R-package allows calculating aggregate data from different data sources, jointly fitting one or multiple data sources and assessing model performance. The implementation of the newly developed algorithm improves computational efficiency by iteratively reweighting internal Monte Carlo predictions. Three simulation scenarios using different data generating models demonstrated an improvement of 3 to 100-fold speed-up when using the novel Iterative Reweighting Monte Carlo (IR-MC) algorithm, while maintaining the convergence properties of the original MC algorithm. These analyses demonstrated that estimation with the IR-MC algorithm is increasingly more efficient as model complexity rises as compared to the standard MC algorithm, indicating the utility for more complex pharmacometric models. In conclusion, the aggregate data modelling implementation in the admr R package allows for a fast and user-friendly application of the aggregate data modelling framework.

药物计量学建模传统上是使用个人水平数据进行的。最近发展了一种新的方法来拟合药物计量模型,以总结水平或汇总数据。这种方法允许联合建模不同的数据源,一旦转换为汇总数据。因此,该方法可以应用于个体数据、药物计量模型和汇总数据的组合。在这项研究中,我们的目标是(1)将这种方法框架实现到一个可访问的R包(admr)中;(2)开发一种具有更高计算效率的新算法。开发的r包允许计算来自不同数据源的汇总数据,联合拟合一个或多个数据源并评估模型性能。新开发的算法的实现通过迭代地重新加权内部蒙特卡洛预测来提高计算效率。使用不同数据生成模型的三个仿真场景表明,使用新的迭代重加权蒙特卡罗(IR-MC)算法时,速度提高了3到100倍,同时保持了原始MC算法的收敛性。这些分析表明,与标准MC算法相比,随着模型复杂性的增加,IR-MC算法的估计效率越来越高,这表明了更复杂的药物计量模型的实用性。总之,admr R包中的聚合数据建模实现允许对聚合数据建模框架进行快速和用户友好的应用。
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引用次数: 0
Identification and characterization of virtual sub-populations through phenotype-guided filtering. The challenging case of nonidentifiable models in the context of therapeutic evaluation. 通过表型导向过滤的虚拟亚群的鉴定和表征。在治疗评估的背景下,不可识别的模型具有挑战性的情况。
IF 2.8 4区 医学 Q3 PHARMACOLOGY & PHARMACY Pub Date : 2025-12-08 DOI: 10.1007/s10928-025-10009-4
Didier Zugaj, Fahima Nekka

The usefulness of mathematical modeling of biological systems and their responses to exogenous products is now well recognized. However, this recognition is marred by problems of unreliability of representations of real populations and predictions of responses to treatments. To remedy this, the generation of virtual populations combined with quantitative systems pharmacology models is increasingly being adopted. However, the complexity of these models and the large number of parameters they involve, generally within a context of lack of information or data, raise the question of nonidentifiability as a potential source affecting the quality of model predictions. This article attempts to present a vision that confronts the management of nonidentifiability with the concerns linked to the classification of virtual populations and their corresponding parametric signatures, as a potential tool for the evaluation of therapeutic interventions.

生物系统及其对外源产物的反应的数学建模的有用性现已得到充分认识。然而,这种认识受到真实人口的不可靠表示和对治疗反应的预测的问题的损害。为了解决这个问题,越来越多的人采用了虚拟种群与定量系统药理学模型相结合的方法。然而,这些模型的复杂性和它们所涉及的大量参数,通常在缺乏信息或数据的情况下,提出了不可识别性作为影响模型预测质量的潜在来源的问题。本文试图呈现一种愿景,即面对与虚拟种群分类及其相应参数签名相关的不可识别性管理,作为评估治疗干预措施的潜在工具。
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引用次数: 0
On the coupling between a basic FcRn mechanism and target-mediated disposition of antibodies. 基本FcRn机制与靶介导的抗体处置之间的耦合。
IF 2.8 4区 医学 Q3 PHARMACOLOGY & PHARMACY Pub Date : 2025-11-27 DOI: 10.1007/s10928-025-10006-7
Csaba B Kátai, Manon M M Berns, Jeroen Elassaiss-Schaap

Understanding the pharmacokinetics of therapeutic antibodies often requires a detailed investigation of the mechanisms governing their distribution and clearance. Two of the most important mechanisms are the salvage and recycling of antibodies by the neonatal Fc receptor (FcRn), and target-mediated drug disposition (TMDD). While the two mechanisms have been analysed individually in detail, their combination and coupling is yet to be addressed. An important point of consideration is the characteristic time scales pertaining to the processes in each mechanism and how they can be related and thus integrated into a single framework. To this end a minimal 'physiology-based' pharmacokinetic model incorporating specific (TMDD) and non-specific (FcRn) antibody elimination is investigated in the high binding-affinity limit using the method of matched asymptotic expansions. The theory builds on previous asymptotic frameworks corresponding to each mechanism individually. The combined FcRn-TMDD model consists of a plasma space and an endosomal space, with target binding occurring in the former and antibody salvage in the latter. Two parameter regimes are studied in particular, that correspond to cases wherein both the specific and the non-specific clearance mechanisms provide comparable contributions to the total antibody clearance over the same time scale. The analysis offers insight into the processes dominating antibody pharmacokinetics during each characteristic phase of the problem. In addition to the accurate analytical description of the kinetics, relevant pharmacometric expressions are also derived, such as the approximate time and concentration when the target receptors are no longer 'fully' saturated, AUC and the terminal slope. The resulting insight on the dominant processes and model parameters in the specific characteristic phases may be utilised to guide parameter estimation in future modelling efforts. Additionally, the presented theory can be used to assess the validity of various quasi-equilibrium, quasi-steady and Michaelis-Menten type assumptions in each phase. In short, the presented theory can provide guidance for physiology-based pharmacokinetic as well as standard pharmacokinetic modelling efforts.

了解治疗性抗体的药代动力学通常需要对控制其分布和清除的机制进行详细的研究。两个最重要的机制是新生儿Fc受体(FcRn)对抗体的回收和再循环,以及靶向介导的药物处置(TMDD)。虽然这两种机制已经分别进行了详细的分析,但它们的组合和耦合尚未得到解决。一个重要的考虑点是与每个机制中的进程有关的特征时标,以及它们如何相互联系,从而纳入一个单一框架。为此,使用匹配渐近展开方法,在高结合亲和力极限下研究了包含特异性(TMDD)和非特异性(FcRn)抗体消除的最小“基于生理的”药代动力学模型。该理论建立在与每个机制分别对应的先前渐近框架之上。FcRn-TMDD联合模型由血浆空间和内体空间组成,前者发生靶结合,后者发生抗体回收。特别研究了两种参数制度,对应于特异性和非特异性清除机制在同一时间尺度上对总抗体清除提供可比贡献的情况。分析提供了洞察过程主导抗体药代动力学在每个特征阶段的问题。除了准确的动力学分析描述外,还导出了相关的药物计量学表达式,如靶受体不再“完全”饱和的近似时间和浓度,AUC和终点斜率。由此产生的对特定特征阶段的主导过程和模型参数的见解可用于指导未来建模工作中的参数估计。此外,所提出的理论可用于评估各相中各种准平衡、准稳定和Michaelis-Menten型假设的有效性。简而言之,提出的理论可以为基于生理学的药代动力学以及标准药代动力学建模工作提供指导。
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引用次数: 0
A note on phase I interleaved versus parallel group ascending dose designs for concentration-QTc analyses. 关于浓度- qtc分析的I期交错与平行组上升剂量设计的注释。
IF 2.8 4区 医学 Q3 PHARMACOLOGY & PHARMACY Pub Date : 2025-11-15 DOI: 10.1007/s10928-025-10007-6
Günter Heimann, Thomas Dumortier, Karin Meiser

PK-QTc analyses are an integral part of drug development programs. These analyses are often based on phase I study data, and the question may be asked whether the design of these phase I studies has an impact on the precision of the corresponding PK-QT analysis. More precisely, we are interested whether one can increase the power of such analyses when using interleaved ascending dose designs rather than parallel group ascending dose designs. Based on a simulation study, previous authors have concluded that this is the case. Their conclusions, however, are based on assumptions regarding the magnitude of the random effect variances, and on a very specific set-up of their simulation study. In this paper we provide a study re-analysis of historical QTc data. The resulting estimates of these random effect variances are much smaller than those used by the previous authors. We also propose a simulation set-up that adequately mimics the data generation process and the correlation between the primary endpoint change from baseline and the covariate baseline. We present a simulation study using the revised simulation set-up and random effect variances as observed in our study re-analysis. We did not find major differences in power between the different designs when the number of observations is the same. We also provide a justification based on causal analysis why we think our simulation set-up is more adequate for situations when change from baseline is the primary endpoint, specifically when baseline is used as a covariate.

PK-QTc分析是药物开发项目的一个组成部分。这些分析通常基于一期研究数据,可能会有人问,这些一期研究的设计是否会影响相应PK-QT分析的精度。更确切地说,我们感兴趣的是,当使用交错上升剂量设计而不是平行组上升剂量设计时,是否可以增加这种分析的能力。基于一项模拟研究,以前的作者已经得出结论。然而,他们的结论是基于对随机效应方差大小的假设,以及他们模拟研究的一个非常具体的设置。本文对历史QTc数据进行了研究再分析。这些随机效应方差的估计值比之前作者使用的估计值要小得多。我们还提出了一个模拟设置,充分模拟数据生成过程和主要终点变化与基线和协变量基线之间的相关性。我们提出了一个模拟研究,使用修改后的模拟设置和随机效应方差,在我们的研究再分析中观察到。当观察数量相同时,我们没有发现不同设计之间的功率有重大差异。我们还提供了基于因果分析的理由,为什么我们认为我们的模拟设置更适合于基线变化是主要终点的情况,特别是当基线用作协变量时。
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引用次数: 0
QT interval prolongation: clinical assessment, risk factors and quantitative pharmacological considerations. QT间期延长:临床评估、危险因素和定量药理学考虑。
IF 2.8 4区 医学 Q3 PHARMACOLOGY & PHARMACY Pub Date : 2025-11-07 DOI: 10.1007/s10928-025-10010-x
Verena Gotta, Birgit Donner

Prolongation of the QT interval in the ECG is a critical finding that signifies an extended duration from the onset of ventricular depolarization to the end of ventricular repolarization. It can predispose patients to life-threatening arrhythmias, such as Torsades de Pointes (TdP). Long QT syndromes (LQTS) are defined by mutations in ion channel genes, particularly those encoding cardiac potassium and sodium channels and are characterized by a significant risk for sudden cardiac death if untreated. However, besides these clearly defined entities various medications have been implicated in causing QT interval prolongation. There is increasing evidence for a genetically determined risk for drug-induced QT prolongation. In addition, due to numerous clinical factors influencing the QT interval, QT prolongation increases the risk of TdP particularly in multi-morbid patients necessitating vigilant monitoring in at-risk populations. This review gives an overview of mechanisms and conditions which induce QT prolongation, the clinical assessment of QT interval duration, thereby highlighting quantitative variations in measurement techniques and heart-rate correction, as well as in demographic interpretation of normal values. The risk of cardiac arrhythmia is discussed, in both patients with congenital LQTS and acquired QT prolongation, along with influencing pharmacokinetic/pharmacodynamic, non-pharmacologic and genetic risk factors for TdP. Finally, clinical implications for individual patient management, including risk-adapted drug-prescription and use of ECG monitoring to mitigate the risks associated with QT prolongation, are summarized. Understanding the interplay between pharmacokinetics, pharmacodynamics, genetic predisposition and co-morbidities is essential for optimizing treatment in the context of prolonged QT intervals, preventing adverse cardiovascular events, and improving cardiac safety. Comprehensive drug labelling regarding exposure-QT relationships and available pharmacovigilance data are important sources of information enhancing patient safety.

心电图QT间期的延长是一个重要的发现,表明从心室去极化开始到心室复极化结束的持续时间延长。它可以使患者易患危及生命的心律失常,如扭转角(TdP)。长QT综合征(LQTS)是由离子通道基因突变定义的,特别是那些编码心脏钾和钠通道的基因突变,如果不治疗,其特点是心脏性猝死的风险很大。然而,除了这些明确定义的实体,各种药物已涉及引起QT间期延长。有越来越多的证据表明药物性QT间期延长的风险是由基因决定的。此外,由于许多临床因素影响QT间期,QT间期延长增加了TdP的风险,特别是在多病患者中,需要在高危人群中进行警惕监测。本文综述了引起QT间期延长的机制和条件,QT间期持续时间的临床评估,从而强调了测量技术和心率校正的定量变化,以及正常值的人口统计学解释。本文讨论了先天性LQTS和获得性QT间期延长患者发生心律失常的风险,以及影响TdP的药代动力学/药效学、非药物和遗传风险因素。最后,总结了个体患者管理的临床意义,包括适应风险的药物处方和使用ECG监测来减轻与QT延长相关的风险。了解药代动力学、药效学、遗传易感性和合并症之间的相互作用对于优化QT间期延长的治疗、预防不良心血管事件和提高心脏安全性至关重要。关于暴露- qt关系的综合药物标签和现有的药物警戒数据是增强患者安全的重要信息来源。
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引用次数: 0
An automated pipeline to generate initial estimates for population Pharmacokinetic base models. 一个自动生成初始估计人群药代动力学基础模型的流水线。
IF 2.8 4区 医学 Q3 PHARMACOLOGY & PHARMACY Pub Date : 2025-11-06 DOI: 10.1007/s10928-025-10000-z
Zhonghui Huang, Matthew Fidler, Minshi Lan, Iek Leng Cheng, Frank Kloprogge, Joseph F Standing

Nonlinear mixed-effects models rely on adequate initial parameter estimates for efficient parameter optimization. Poor initial estimates can result in failed model convergence or termination with incorrect parameter estimates. Non-compartmental analysis (NCA) and other manual methods have typically been used to derive initial estimates for pharmacokinetic (PK) parameters. However, NCA struggles with sparse data and recent advances in automated modeling increasingly emphasize the need for initial estimates that require no user input. This study aimed to develop an integrated pipeline for the computation of initial estimates applicable to various data types and model structures. The designed pipeline incorporated a custom-designed algorithm that leveraged data-driven methods to generate initial estimates for both structural and statistical parameters in population pharmacokinetic (PopPK) base models. The pipeline's performance was evaluated across twenty-one simulated datasets and thirteen real-life datasets. The results suggested that this pipeline performed well in all test cases. Initial estimates recommended by the pipeline resulted in final parameter estimates closely aligned with pre-set true values in simulated datasets or with literature references in the case of real-life data. This study provides an efficient and reliable tool for delivering PK initial estimates for population pharmacokinetic modeling in both rich and sparse data scenarios. An open-source R package has been created.

非线性混合效应模型依赖于足够的初始参数估计来进行有效的参数优化。较差的初始估计可能导致模型收敛失败或以不正确的参数估计终止。非区室分析(NCA)和其他手工方法通常用于获得药代动力学(PK)参数的初始估计。然而,NCA与稀疏数据作斗争,自动化建模的最新进展越来越强调需要不需要用户输入的初始估计。本研究旨在开发一种适用于各种数据类型和模型结构的初始估计计算的集成管道。设计的管道结合了定制设计的算法,利用数据驱动的方法在群体药代动力学(PopPK)基础模型中生成结构和统计参数的初始估计。该管道的性能在21个模拟数据集和13个真实数据集上进行了评估。结果表明该管道在所有测试用例中都表现良好。管道建议的初始估计导致最终参数估计与模拟数据集中预设的真实值或实际数据中的文献参考密切相关。本研究为在数据丰富和稀疏的情况下进行群体药代动力学建模提供了一种高效可靠的工具。已经创建了一个开源的R包。
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引用次数: 0
Characterization of CAR-T cellular kinetics and efficacy in solid tumor patients with and without prior lymphodepletion chemotherapy using a PBPK-PD model. 使用PBPK-PD模型表征CAR-T细胞动力学和既往未接受淋巴细胞清除化疗的实体瘤患者的疗效。
IF 2.8 4区 医学 Q3 PHARMACOLOGY & PHARMACY Pub Date : 2025-10-27 DOI: 10.1007/s10928-025-10008-5
Keyur R Parmar, Agnish Dey, Angelia F Wang, Ganesh M Mugundu, Aman P Singh

Despite tremendous clinical responses and patient benefit in hematological malignancies, chimeric Antigen Receptor (CAR) T cells have demonstrated limited success in solid tumors. Herein, we have scaled and augmented our previously described murine PBPK-PD model (Singh et al. mAbs, 2020) to characterize cellular kinetics (CK) and anti-tumor activity in patients with solid tumor malignancies. The model was able to integrate (1) differential kinetics of effector- and memory-phenotypes in peripheral blood (PB), solid tumors and other pertinent tissues (n = 8), (2) host-immune system dynamics with or without prior lymphodepletion chemotherapy (LDC) and its impact of CAR-T cell kinetics and (3) antigenic heterogeneity in patients. Model was developed based on digitized individual level CK, categorical antitumor activity and percentage tumor antigen expression dataset from following phase-1 dose-escalation studies: (A) anti-mesothelin CAR-T in multiple cancer indications (n = 15, cohorts w/ and w/o LDC), (B) gavocabtagene autoleucel (n = 7, w/ and w/o LDC) in multiple indications, (C) anti-glypican 3 CAR-T in advanced hepatocellular carcinoma (n = 13, dose-range 0.7-5.18 billion) and (D) anti-PSMA/TGFβ CAR-T in prostate cancer (n = 10, w/ and w/o LDC). The developed clinical PBPK-PD model was able to simultaneously characterize the CK and categorical anti-tumor longitudinal dataset(s) for each case study while accounting for antigen-expressing tumor burden in each patient. Moreover, model accounted for host-T cell population dynamics post LDC, which competed with CAR-T cell towards overall expansion and persistence post-treatment. Using model simulation, CAR-T cell expansion was found to be dependent on initial tumor burden and antigen positive tumor fraction. The developed PBPK-PD model could be leveraged as an effective tool in future to provide mechanistic understanding on CK-PD behavior of cell therapies targeting solid tumors.

尽管嵌合抗原受体(CAR) T细胞在血液系统恶性肿瘤中的临床反应和患者获益巨大,但在实体肿瘤中却表现出有限的成功。在此,我们扩展并增强了先前描述的小鼠PBPK-PD模型(Singh et al. mab, 2020),以表征实体肿瘤恶性患者的细胞动力学(CK)和抗肿瘤活性。该模型能够整合(1)外周血(PB)、实体肿瘤和其他相关组织中效应型和记忆型表型的差异动力学(n = 8),(2)有或没有事先淋巴耗竭化疗(LDC)的宿主免疫系统动力学及其对CAR-T细胞动力学的影响,(3)患者的抗原异质性。模型是基于数字化的个体水平CK、分类抗肿瘤活性和肿瘤抗原表达百分比数据集开发的,这些数据集来自以下第一阶段剂量递增研究:(A)抗间皮素CAR-T在多种癌症适应症中的应用(n = 15, w/和w/o最不发达国家),(B)加奥卡布基自甲醇(n = 7, w/和w/o最不发达国家),(C)抗glypican 3 CAR-T在晚期肝细胞癌中的应用(n = 13,剂量范围7- 51.8亿),(D)抗psma /TGFβ CAR-T在前列腺癌中的应用(n = 10, w/和w/o最不发达国家)。开发的临床PBPK-PD模型能够同时表征每个病例研究的CK和分类抗肿瘤纵向数据集,同时考虑到每个患者的抗原表达肿瘤负担。此外,模型考虑了LDC后宿主-t细胞群体动态,它们与CAR-T细胞在处理后的整体扩增和持久性方面竞争。通过模型模拟,发现CAR-T细胞扩增依赖于初始肿瘤负荷和抗原阳性肿瘤比例。所建立的PBPK-PD模型可以作为一种有效的工具,为了解针对实体瘤的细胞治疗的CK-PD行为提供机制。
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引用次数: 0
Pharmacometric modeling with the zero-order hold. 零阶保持器的药物计量学建模。
IF 2.8 4区 医学 Q3 PHARMACOLOGY & PHARMACY Pub Date : 2025-10-22 DOI: 10.1007/s10928-025-10004-9
Eric L Haseltine, Violeta Rodriguez-Romero

Solving models comprised of nonlinear differential equations (DEs) in NONMEM using ADVAN6 or ADVAN13 typically requires substantially longer run times than models comprised of linear DEs, which in some cases allow for analytical solutions. Often the need to use nonlinear DE solvers results from pharmacokinetic (PK) variations over the dosing interval introducing the nonlinearity via a nonlinear transfer function, as is the case for indirect-response models and enzyme induction models. As long run times hinder model development, it is desirable to derive suitable approximations to speed up model solutions. The zero-order hold, a concept used in the field of advanced process control to optimize control decisions, provides an attractive approximation for these situations that often results in a sequential system of simpler DEs that in some cases can be solved analytically. Two examples, an indirect-response model and an enzyme induction model, demonstrate that the zero-order hold approximation provides a substantial reduction in computational time (up to ~ 140-fold) without unduly biasing the parameter estimates. These examples demonstrate that the zero-order hold approximation offers an attractive method for efficiently solving models where time-varying PK leads to a nonlinear system of DEs.

使用ADVAN6或ADVAN13在NONMEM中求解由非线性微分方程(DEs)组成的模型通常需要比由线性微分方程组成的模型更长的运行时间,在某些情况下,线性微分方程允许解析解。通常需要使用非线性DE求解器是由于药代动力学(PK)在给药间隔内的变化,通过非线性传递函数引入非线性,如间接反应模型和酶诱导模型。由于长时间的运行会阻碍模型的开发,因此需要推导合适的近似来加速模型的解决。零阶保持器是高级过程控制领域中用于优化控制决策的一个概念,它为这些情况提供了一个有吸引力的近似,这些情况通常会导致更简单的连续系统,在某些情况下可以解析解决。两个例子,一个间接响应模型和一个酶诱导模型,证明了零阶保持器近似提供了计算时间的大幅减少(高达140倍),而不会过度偏置参数估计。这些例子表明,零阶保持器近似为有效求解时变PK导致非线性DEs系统的模型提供了一种有吸引力的方法。
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引用次数: 0
A QSP PDE model of ADC transport and kinetics in a growing or shrinking tumor. 生长或缩小肿瘤中ADC转运和动力学的QSP PDE模型。
IF 2.8 4区 医学 Q3 PHARMACOLOGY & PHARMACY Pub Date : 2025-10-19 DOI: 10.1007/s10928-025-10001-y
David S Ross, Antonio Cabal

When a tumor is treated with an antibody-drug conjugate (ADC) complex biochemistry occurs in a domain-the tumor-whose size and structure are changing. Some parts of the tumor may be growing because tumor cells proliferate. Other parts may be stagnant, or nearly so, because the cells there have been damaged by the cytotoxin. Still others may be shrinking because the cells there have been killed by the cytotoxin and are being cleared. Chemical concentrations within the tumor, which influence kinetics and transport, change as the tumor grows or shrinks. Cell surface antigen, to which ADCs are designed to bind, is lost when cells are cleared and is freshly introduced when cells proliferate. For these reasons, and because shrinking the tumor by killing its cells is the purpose of ADC treatment, it is important in a quantitative systems pharmacology (QSP) approach to the problem to model the evolution of tumor size and structure over the course of ADC treatment. In this paper we present a partial differential equation (PDE) model of ADC transport and kinetics in a growing and shrinking Krogh cylinder tumor. We present results of several studies we performed with the model, including an antigen concentration study that shows tumor growth inhibition to be non-monotone as a function of antigen concentration, and a study of the effects of co-administration of mAb and ADC that shows that the greater the delay between mAb and ADC administration the less the effect of co-administration, and which suggests the mechanism for this effect.

当使用抗体-药物偶联物(ADC)治疗肿瘤时,复杂的生物化学发生在肿瘤区域,其大小和结构正在发生变化。由于肿瘤细胞的增殖,肿瘤的某些部分可能正在生长。其他部分可能停滞不前,或者几乎停滞不前,因为那里的细胞被细胞毒素破坏了。还有一些可能是因为那里的细胞被细胞毒素杀死,正在被清除。肿瘤内影响动力学和运输的化学物质浓度随着肿瘤的生长或缩小而变化。adc被设计用来结合的细胞表面抗原,在细胞被清除时丢失,在细胞增殖时被新引入。由于这些原因,并且由于通过杀死肿瘤细胞来缩小肿瘤是ADC治疗的目的,因此在定量系统药理学(QSP)方法中对ADC治疗过程中肿瘤大小和结构的演变进行建模是很重要的。本文建立了生长和缩小的克拉夫圆柱形肿瘤中ADC转运和动力学的偏微分方程模型。我们介绍了我们用该模型进行的几项研究的结果,包括抗原浓度研究,该研究表明肿瘤生长抑制是非单调的,作为抗原浓度的函数,以及单克隆抗体和ADC共同给药的效果研究,该研究表明单克隆抗体和ADC给药之间的延迟越大,共同给药的效果越小,并提出了这种效果的机制。
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Journal of Pharmacokinetics and Pharmacodynamics
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