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Deriving an Analytical Solution to Inversion of Royston/Parmar Restricted Cubic Spline Parametric Survival Models for Discrete Event Simulation. 离散事件模拟Royston/Parmar有限三次样条参数生存模型反演的解析解。
IF 4.6 3区 医学 Q1 ECONOMICS Pub Date : 2026-04-01 Epub Date: 2025-12-05 DOI: 10.1007/s40273-025-01569-x
George Bungey, Jorgen Moller, James Saunders, Venediktos Kapetanakis
<p><strong>Background and objective: </strong>Discrete event simulation models simulate times to events rather than using the cumulative survival probabilities provided by parametric survival models. This requires inversion of the survival functions to produce analytical solutions to derive these event times from given survival estimates. While numerical methods can approximate event times for more complex survival models, this process may be computationally expensive, especially when repeated over large numbers of simulations. We aimed to derive an analytical solution to inverse functions for Royston/Parmar restricted cubic spline parametric survival models and test the execution speed when implemented in Microsoft Excel against numerical approximation methods (Goal Seek) and a hybrid approach using Brent's root-solving algorithm.</p><p><strong>Methods: </strong>Three case types were classified according to the positioning of the given cumulative survival estimate " <math><mmultiscripts><mi>S</mi> <mrow><mrow></mrow> <mo>∗</mo></mrow> <mrow></mrow></mmultiscripts> </math> " between cumulative survival probabilities corresponding to the boundary knots from the Royston/Parmar restricted cubic spline model to determine the positioning of the solution "t" between knot values. For Case 1 (t before first knot) and Case 3 (t after last knot), a linear equation for <math><mrow><mi>x</mi> <mo>=</mo></mrow> </math> ln(t) is produced, and single solutions are derived for t as a function of <math><mmultiscripts><mi>S</mi> <mrow><mrow></mrow> <mo>∗</mo></mrow> <mrow></mrow></mmultiscripts> </math> . For Case 2 (between boundary knots), a cubic equation of the form a <math><mi>x</mi></math> <sup>3</sup> + b <math><mi>x</mi></math> <sup>2</sup> + c <math><mi>x</mi></math> + d = 0 is derived, with a published cubic equation-solving algorithm used to obtain the correct solution for t. Royston/Parmar restricted cubic spline models were then fitted to published colon cancer data, and used to test the average execution speed of a user-defined function coded in Visual Basic for Applications (VBA) based on the analytical inversion solution compared to two Goal Seek approaches (default and increased precision) and a hybrid approach using Brent's method in Microsoft Excel over 100 replications of event time simulations, for a range of given survival estimates between 1% and 99% for all fitted models.</p><p><strong>Results: </strong>The mean (standard deviation) execution speed for the spline inversion user-defined function across 100 replications was 0.612 (0.029) seconds compared with 10.567 (0.175) seconds for the default Goal Seek approach, 12.230 (0.265) seconds for the increased precision Goal Seek approach and 1.140 (0.114) seconds for the hybrid Brent method, corresponding to 94.2%, 95.0%, and 46.3% reductions in average execution time, respectively.</p><p><strong>Conclusions: </strong>Analytical solutions to inverse functions of Royston/Parmar restricted cubic
背景和目的:离散事件模拟模型模拟事件的时间,而不是使用参数生存模型提供的累积生存概率。这需要生存函数的反转来产生解析解,从而从给定的生存估计中推导出这些事件时间。虽然数值方法可以为更复杂的生存模型近似事件时间,但这个过程可能在计算上很昂贵,特别是在大量模拟中重复时。我们的目标是推导出Royston/Parmar限制三次样条参数生存模型反函数的解析解,并测试在Microsoft Excel中针对数值近似方法(Goal Seek)和使用Brent解根算法的混合方法实现的执行速度。方法:根据给定的累积生存估计“S *”在Royston/Parmar限制三次样条模型的边界结点对应的累积生存概率之间的定位对三种情况进行分类,以确定解“t”在结点值之间的定位。对于情形1(第一个结前的t)和情形3(最后一个结后的t),生成了x = ln(t)的线性方程,并导出了t作为S *函数的单一解。对于情况2(边界结点之间),导出了形式为a x3 + b x2 + c x + d = 0的三次方程,并使用已发表的三次方程求解算法来获得t的正确解。然后将Royston/Parmar限制三次样条模型拟合到已发表的结肠癌数据中。并用于测试在Visual Basic for Applications (VBA)中编码的用户定义函数的平均执行速度,该函数基于解析反演解决方案,与两种Goal Seek方法(默认和提高精度)和在Microsoft Excel中使用Brent方法的混合方法进行了100次事件时间模拟复制,所有拟合模型的给定生存估计范围在1%至99%之间。结果:样条反演用户定义函数在100个重复中的平均(标准差)执行速度为0.612(0.029)秒,而默认Goal Seek方法为10.567(0.175)秒,提高精度的Goal Seek方法为12.230(0.265)秒,混合Brent方法为1.140(0.114)秒,平均执行时间分别减少了94.2%,95.0%和46.3%。结论:可以推导出Royston/Parmar限制三次样条模型反函数的解析解,以便从给定的生存估计中精确估计事件时间,并大大提高Microsoft Excel中离散事件模拟的事件时间生成的模拟速度,而不是使用数值方法进行近似,以及促进分位数函数的推导。应该考虑进一步的研究,以测试其他软件(如R)中的事件时间推导速度,将解决方案扩展到时变协变量,并确定解析反演解决方案的其他潜在用例。
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引用次数: 0
Developing and Calibrating a Colorectal Cancer Microsimulation Model for Northern Ireland. 发展和校准北爱尔兰结直肠癌微观模拟模型。
IF 4.6 3区 医学 Q1 ECONOMICS Pub Date : 2026-04-01 Epub Date: 2026-01-04 DOI: 10.1007/s40273-025-01572-2
Olivia Adair, Ethna McFerran, Mark Lawler, Luuk A van Duuren, Felicity Lamrock

Background: Individual-level microsimulation models are essential for evaluating colorectal cancer (CRC) screening programmes to capture the heterogeneity in disease progression. To ensure regional relevance, such models require detailed natural history structures and robust calibration to population-specific data. This study presents the development of the first CRC natural history microsimulation model tailored to Northern Ireland (NI) for evaluating the NI Bowel Cancer Screening Programme (NI BCSP).

Method: The model simulates individual trajectories from adenoma onset to CRC diagnosis. Eight natural history parameters were calibrated to sex-specific CRC incidence data, initially using empirical (frequentist) calibration and Approximate Bayesian Computation (ABC) rejection, followed by the ABC-Markov Chain Monte Carlo (ABC-MCMC) algorithm. Other parameters were informed by NI-specific data sources.

Results: The frequentist and ABC rejection calibration approach's posterior distributions informed the prior distribution for the ABC-MCMC approach. ABC-MCMC was informative, yielding 55 parameter sets, but results were constrained by limited calibration targets and parameter identifiability.

Conclusion: This is the first NI-specific CRC microsimulation model, providing a regionally tailored platform for evaluating screening strategies and supporting policy. Calibration was feasible in a data-limited context, but further refinement and additional targets are needed to improve parameter estimation.

背景:个体水平的微观模拟模型对于评估结直肠癌(CRC)筛查方案以捕捉疾病进展的异质性至关重要。为了确保区域相关性,这些模型需要详细的自然历史结构和对特定人口数据的可靠校准。本研究提出了为北爱尔兰(NI)量身定制的第一个CRC自然历史微观模拟模型的发展,用于评估NI肠癌筛查计划(NI BCSP)。方法:该模型模拟从腺瘤发病到结直肠癌诊断的个体轨迹。将8个自然历史参数校准为性别特异性CRC发病率数据,最初使用经验(频率)校准和近似贝叶斯计算(ABC)拒绝,然后使用ABC-马尔可夫链蒙特卡罗(ABC- mcmc)算法。其他参数由特定于ni的数据源通知。结果:频率主义者和ABC拒绝校准方法的后验分布告知ABC- mcmc方法的先验分布。ABC-MCMC信息丰富,产生55个参数集,但结果受到有限的校准目标和参数可识别性的限制。结论:这是第一个针对ni的CRC微观模拟模型,为评估筛查策略和支持政策提供了一个区域定制的平台。在数据有限的情况下,校准是可行的,但需要进一步细化和额外的目标来改进参数估计。
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引用次数: 0
Microsimulation Modeling for Health Decision Sciences Using C++: A Tutorial. 健康决策科学的c++微仿真建模教程。
IF 4.6 3区 医学 Q1 ECONOMICS Pub Date : 2026-04-01 Epub Date: 2025-07-26 DOI: 10.1007/s40273-025-01526-8
Aku-Ville Lehtimäki, Janne Martikainen

Microsimulation models have become increasingly common in the field of decision modeling for health. Because microsimulation models are computationally more demanding than traditional Markov cohort models, the use of computer programming languages in their development has become more common. C++ is a programming language that has gained widespread recognition in computationally intensive fields, including systems modeling and performance-critical applications. It offers powerful tools for building high-performance microsimulation models, outpacing many traditional modeling software solutions, such as native R, in terms of speed and control over memory management. However, there is limited accessible guidance for implementing microsimulation models in C++. This tutorial offers a step-by-step approach to constructing microsimulation models in C++ and demonstrates its application through simplified but adaptable example decision models. We walk the reader through essential steps and provide generic C++ code that is flexible and suitable for adapting to a range of models. Finally, we present the standalone C++ models and their Rcpp counterparts run within R, and compare their performance to equivalent R implementations in terms of speed and memory efficiency.

微观仿真模型在卫生决策建模领域已经变得越来越普遍。由于微仿真模型在计算上比传统的马尔可夫队列模型要求更高,因此在其开发中使用计算机编程语言变得更加普遍。c++是一种编程语言,在计算密集型领域获得了广泛的认可,包括系统建模和性能关键应用程序。它为构建高性能微仿真模型提供了强大的工具,在速度和内存管理控制方面超过了许多传统的建模软件解决方案,如原生R。然而,在c++中实现微仿真模型的指导是有限的。本教程提供了在c++中逐步构建微仿真模型的方法,并通过简化但适应性强的示例决策模型演示了其应用。我们引导读者完成基本步骤,并提供灵活且适合适应各种模型的通用c++代码。最后,我们介绍了在R中运行的独立c++模型及其对应的Rcpp模型,并将它们的性能与等效的R实现在速度和内存效率方面进行了比较。
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引用次数: 0
Comparing the Influence of Heterogeneity on Model Outcomes in Individual-Level and Cohort Simulations: An Exploratory Simulation Study. 比较个体水平和队列模拟中异质性对模型结果的影响:一项探索性模拟研究。
IF 4.6 3区 医学 Q1 ECONOMICS Pub Date : 2026-04-01 Epub Date: 2025-10-15 DOI: 10.1007/s40273-025-01547-3
Evelien B van Well, Tim M Govers, Hendrik Koffijberg

Introduction: When developing health economic simulation models, individual-level and cohort state-transition model types are commonly used. However, heterogeneity and the extent to which it is taken into account is thought to affect simulation outcomes differently in individual-level and cohort simulations, even when model structures are identical.

Objective: This study aimed to investigate the conditions under which the use of different model types may lead to different outcomes and therefore potentially different policy decisions.

Methods: A microsimulation model was used to reflect an individual-level simulation, simulating patient characteristics and, artificially, a cohort-level simulation of identical patients, using the exact same model structure. Four scenarios were analyzed: heterogeneity in age (scenario 1) influencing progression and recovery probabilities when on treatment, heterogeneity in sex (scenario 2) influencing progression and recovery probabilities when on treatment, combined heterogeneity in age and sex (scenario 3) influencing progression and recovery probabilities when on treatment, and heterogeneity in age when including age-dependent all-cause mortality (scenario 4). In every scenario, heterogeneity impact was varied, and health state occupancy, incremental costs, incremental effects, and the net monetary benefit of treatment versus no treatment were compared between the individual-level and cohort simulations.

Results: When introducing heterogeneity in age, sex, and age and sex combined, all scenarios showed differences between outcomes of individual-level and cohort simulations. However, these differences did not change the cost-effectiveness conclusions. When age influenced only age-dependent mortality, there were differences between the outcomes for the individual-level and cohort simulations when heterogeneity in age was introduced.

Conclusion: Patient heterogeneity can affect the outcomes of individual and cohort simulations differently, but reflecting more heterogeneity does not necessarily increase differences in simulation outcomes. However, age-dependent mortality affected analytic outcomes differently, suggesting a need for caution when developing cohort models if age is heterogeneous.

在建立卫生经济模拟模型时,通常使用个体水平和队列状态转换模型类型。然而,异质性及其被考虑的程度被认为对个体水平和队列模拟的模拟结果有不同的影响,即使模型结构相同。目的:本研究旨在探讨在何种条件下使用不同的模型类型可能导致不同的结果,从而可能导致不同的政策决策。方法:采用微观模拟模型反映个体水平的模拟,模拟患者特征,人工模拟相同患者的队列水平,使用完全相同的模型结构。分析了四种情况:影响治疗进展和恢复概率的年龄异质性(情况1),影响治疗进展和恢复概率的性别异质性(情况2),影响治疗进展和恢复概率的年龄和性别联合异质性(情况3),以及包括年龄依赖性全因死亡率的年龄异质性(情况4)。在每种情况下,异质性影响是不同的,并且在个体水平和队列模拟之间比较了治疗与不治疗的健康状态占用、增量成本、增量效果和净货币效益。结果:当引入年龄、性别以及年龄和性别组合的异质性时,所有情景在个体水平和队列模拟的结果之间都显示出差异。然而,这些差异并没有改变成本效益结论。当年龄仅影响与年龄相关的死亡率时,当引入年龄异质性时,个体水平和队列模拟的结果之间存在差异。结论:患者异质性对个体和队列模拟结果的影响不同,但反映更多的异质性并不一定会增加模拟结果的差异。然而,年龄依赖性死亡率对分析结果的影响不同,这表明如果年龄是异质的,在开发队列模型时需要谨慎。
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引用次数: 0
Individualized Treatment Rules Based on Cost-Effectiveness Criteria in Microsimulations. 基于微模拟中成本-效果标准的个性化治疗规则。
IF 4.6 3区 医学 Q1 ECONOMICS Pub Date : 2026-04-01 Epub Date: 2025-11-10 DOI: 10.1007/s40273-025-01562-4
Niklaus Meier, Ana Cecilia Quiroga Gutierrez, Mark Pletscher, Matthias Schwenkglenks

Background and objective: In cost-effectiveness analysis, treatment decisions are analysed at the population level. Combinations of treatment strategies that account for the heterogeneity of costs and effects across patients can be more cost-effective than a "one size fits all" approach. Individualized treatment rules (ITRs) assign a specific treatment to every patient based on their relevant characteristics, such that overall cost-effectiveness is optimized, but do not include feasibility or ethical considerations. We propose an approach for the design of ITRs based on simulated patient data from microsimulation models using statistical learning techniques.

Methods: We mathematically define the optimal ITR and how to measure the value of an ITR in a cost-effectiveness context. We explore least absolute shrinkage and selection operator (LASSO) regression, classification trees, and policy trees to illustrate how standard statistical learning techniques can be used to derive ITRs. We compare the strengths and limitations of these three approaches in terms of three criteria: the incremental value of the ITRs compared to optimal treatment assignment in terms of net monetary benefit (NMB), computational speed, and the interpretability of the ITRs. We propose methods to describe the impact of parameter uncertainty on the ITRs. We also explore how stochastic uncertainty can impact the ITR incremental value. We illustrate the methods by applying them to a microsimulation model for haemophilia B comparing four treatment strategies as a case study. The relevant patient characteristics in this model are the annualized bleeding rate, age, and sex.

Results: In our case study, a simple two-layer-deep classification tree is best suited based on the three criteria. This classification tree allocates treatments depending on whether the annualized bleeding rate of a patient is above or below 30 and whether their age is above or below 51. The optimal threshold values are uncertain based on the 95% credible ranges from the probabilistic analysis: 21-46 for annualized bleeding rate and 42-56 for age. Scenarios show that stochastic uncertainty has an impact on the incremental value of the ITR.

Discussion: Based on methodological considerations and the empirical findings in our case study, we expect the superiority of classification trees for the derivation of ITRs to be generalizable to other microsimulation models. This finding needs to be confirmed in future applications. Stochastic uncertainty has significant impacts on the ITRs, such that accurate representations of individual patient pathways are particularly crucial when designing ITRs. Future research could explore further empirical models and analytical approaches for ITRs or consider the translation of ITRs into the real-world decision-making context.

背景和目的:在成本效益分析中,治疗决策是在人群水平上进行分析的。考虑到患者成本和效果异质性的治疗策略组合可能比“一刀切”的方法更具成本效益。个性化治疗规则(itr)根据患者的相关特征为每位患者分配特定的治疗方案,从而优化总体成本效益,但不包括可行性或伦理考虑。我们提出了一种基于使用统计学习技术的微观模拟模型模拟患者数据的itr设计方法。方法:我们用数学方法定义最优ITR,以及如何在成本效益的背景下衡量ITR的价值。我们探讨了最小绝对收缩和选择算子(LASSO)回归、分类树和策略树,以说明如何使用标准的统计学习技术来推导itr。我们根据三个标准比较了这三种方法的优势和局限性:根据净货币效益(NMB),计算速度和itr的可解释性,与最佳治疗分配相比,itr的增量价值。我们提出了描述参数不确定性对itr影响的方法。我们还探讨了随机不确定性如何影响ITR增量值。我们通过将其应用于血友病B的微观模拟模型来说明这些方法,并将四种治疗策略作为案例研究进行比较。该模型的相关患者特征是年化出血率、年龄和性别。结果:在我们的案例研究中,基于这三个标准,一个简单的两层深度分类树是最适合的。该分类树根据患者的年化出血率是大于还是小于30岁,年龄是大于还是小于51岁来分配治疗方案。基于95%可信的概率分析,最佳阈值是不确定的:年化出血率为21-46,年龄为42-56。情景表明,随机不确定性对ITR的增量值有影响。讨论:基于方法学上的考虑和案例研究中的实证发现,我们期望分类树在itr推导方面的优势可以推广到其他微观模拟模型。这一发现需要在未来的应用中得到证实。随机不确定性对itr有重大影响,因此在设计itr时,准确表示个体患者的路径尤为重要。未来的研究可以进一步探索itr的实证模型和分析方法,或者考虑将itr转化为现实世界的决策情境。
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引用次数: 0
Spectrum of Models for Assessing the Cost Effectiveness of Total Knee Replacement Implants: A Comparison of Discrete-Time Cohort Markov and Continuous-Time Individual-Level Multistate Models. 评估全膝关节置换术植入物成本效益的模型谱:离散时间队列马尔可夫模型和连续时间个体水平多状态模型的比较。
IF 4.6 3区 医学 Q1 ECONOMICS Pub Date : 2026-04-01 Epub Date: 2026-01-04 DOI: 10.1007/s40273-025-01578-w
Yixin Xu, Elsa M R Marques, Nicky J Welton, Linda P Hunt, Michael Whitehouse, Ashley W Blom, Andrew D Beswick, Howard H Z Thom

Background and objective: A primary elective total knee replacement is routinely used for patients with advanced osteoarthritis. Knee implants differ in characteristics (constraint, fixation, mobility), costs, need for revisions and other health outcomes, and so models evaluating their relative cost effectiveness are required to optimise decision making. Economic modelling approaches differ in complexity, the simplest in use being discrete time Markov models (DTMMs). Continuous-time Markov models (CTMMs) can capture transition timing in finer detail, and can more flexibly relax the constant hazard assumption. Multistate microsimulation can more easily capture patient history and time dependence. This paper aims to explore how the choice of modelling approach influences the cost effectiveness of various implant types for a total knee replacement. Based on the frequency of implant use in the National Joint Registry, 12 commonly used implants were included in the analysis.

Methods: We compared four different models of increasing complexity for male and female individuals in five age categories undergoing a total knee replacement. The DTMM and constant hazard CTMM assumed fixed revision probabilities over time. The individual-level CTMM with splines were semi-Markov, allowing time-varying rates of first revision surgery. The multistate microsimulation incorporated time-dependent splines for all revision rates but also dependence on time spent in previous health states. All revision rates were estimated using data from the National Joint Registry. The models were implemented using the hesim package in R.

Results: Under the constant hazard assumption, DTMM and CTMM yielded similar results, identifying the most commonly used implant as the most cost effective. However, using the spline-based hazard CTMM and patient history informed multistate microsimulation, other implants were identified as the most cost-effective options. The increased model complexity required high-performance computing facilities for CTMMs and multistate microsimulation.

Conclusions: This study shows that the choice of model can impact cost-effectiveness results. The multistate microsimulation model, which incorporates time-dependent transitions, provides a realistic representation of patient pathways over time, but is computationally complex and may be preferable only when time-varying risks are a key factor. The CTMM or DTMM models may be more efficient when data are limited or computational resources are constrained. Improving the accuracy and applicability of economic models can improve healthcare decision making. Future research should extend these methodologies to other disease areas, refine continuous-time models and explore their impact across diverse healthcare contexts.

背景和目的:原发性选择性全膝关节置换术常规用于晚期骨关节炎患者。膝关节植入物在特征(约束、固定、移动)、成本、修复需求和其他健康结果方面有所不同,因此需要评估其相对成本效益的模型来优化决策。经济建模方法的复杂性不同,使用最简单的是离散时间马尔可夫模型(DTMMs)。连续时间马尔可夫模型(ctmm)可以更精细地捕捉过渡时间,并且可以更灵活地放宽恒定风险假设。多状态微模拟可以更容易地捕获患者的病史和时间依赖性。本文旨在探讨建模方法的选择如何影响全膝关节置换术中各种植入物类型的成本效益。根据国家联合登记处的种植体使用频率,将12种常用种植体纳入分析。方法:我们比较了四种不同的模型,越来越复杂的男性和女性个体在五个年龄类别进行全膝关节置换术。随着时间的推移,DTMM和恒定风险CTMM假设固定的修正概率。具有样条的个体水平CTMM是半马尔可夫的,允许随时间变化的第一次翻修手术率。多状态微模拟结合了所有修正率的时间依赖样条曲线,但也依赖于在以前的健康状态中花费的时间。所有的修订率都是使用国家联合登记处的数据估计的。结果:在危险假设不变的情况下,DTMM和CTMM得到的结果相似,确定了最常用的种植体是最具成本效益的。然而,使用基于样条的危险CTMM和患者病史的多状态微模拟,其他种植体被确定为最具成本效益的选择。增加的模型复杂性需要高性能的计算设备来支持ctmm和多状态微仿真。结论:本研究表明,模型的选择会影响成本-效果结果。多状态微模拟模型包含了时间相关的转换,提供了患者随时间变化的路径的真实表示,但计算复杂,只有当时变风险是一个关键因素时可能更可取。当数据有限或计算资源受限时,CTMM或DTMM模型可能更有效。提高经济模型的准确性和适用性可以改善医疗保健决策。未来的研究应该将这些方法扩展到其他疾病领域,完善连续时间模型,并探索它们在不同医疗环境中的影响。
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引用次数: 0
Discrete-Event Simulation Modeling Framework for Cancer Interventions and Population Health in R (DESCIPHR): An Open-Source Pipeline. R地区癌症干预和人口健康的离散事件模拟建模框架(DESCIPHR):一个开源管道。
IF 4.6 3区 医学 Q1 ECONOMICS Pub Date : 2026-04-01 Epub Date: 2026-01-23 DOI: 10.1007/s40273-025-01571-3
Selina Pi, Carolyn M Rutter, Carlos Pineda-Antunez, Jonathan H Chen, Jeremy D Goldhaber-Fiebert, Fernando Alarid-Escudero

Simulation models inform health policy decisions by integrating data from multiple sources and forecasting outcomes when there is a lack of comprehensive evidence from empirical studies. Such models have long supported health policy for cancer, the first or second leading cause of death in over 100 countries. Discrete-event simulation (DES) and Bayesian calibration have gained traction in the field of decision science because they enable flexible modeling of complex health conditions and produce estimates of model parameters that reflect real-world disease epidemiology and data uncertainty given model constraints. This uncertainty is then propagated to model-generated outputs, enabling decision-makers to assess confidence in recommendations and estimate the value of collecting additional information. However, there is limited end-to-end guidance on structuring a DES model for cancer progression, estimating its parameters using Bayesian calibration, and applying the calibration outputs to policy evaluation. To fill this gap, we introduce the DES Modeling Framework for Cancer Interventions and Population Health in R (DESCIPHR), an open-source codebase integrating a flexible DES model for the natural history of cancer, Bayesian calibration for parameter estimation, and an example application of screening strategy evaluation. To illustrate the framework, we apply DESCIPHR to calibrate bladder and colorectal cancer models to real-world cancer registry targets. We also introduce an automated method for generating data-informed parameter prior distributions and increase the functionality of a neural network emulator-based Bayesian calibration algorithm. We anticipate that the adaptable DESCIPHR modeling template will facilitate the construction of future decision models evaluating the risks and benefits of health interventions.

模拟模型通过整合来自多个来源的数据并在缺乏经验研究的全面证据时预测结果,为卫生政策决策提供信息。这种模式长期以来一直支持针对癌症的卫生政策,癌症是100多个国家的第一或第二大死亡原因。离散事件模拟(DES)和贝叶斯校准在决策科学领域获得了牵引力,因为它们能够灵活地对复杂的健康状况进行建模,并产生反映现实世界疾病流行病学和给定模型约束的数据不确定性的模型参数估计。然后将这种不确定性传播到模型生成的输出,使决策者能够评估对建议的信心并估计收集额外信息的价值。然而,在构建癌症进展的DES模型、使用贝叶斯校准估计其参数以及将校准输出应用于政策评估方面,端到端指导是有限的。为了填补这一空白,我们引入了癌症干预和人口健康DES建模框架(DESCIPHR),这是一个开源代码库,集成了用于癌症自然史的灵活DES模型,用于参数估计的贝叶斯校准以及筛选策略评估的示例应用。为了说明该框架,我们应用DESCIPHR将膀胱癌和结直肠癌模型校准为真实世界的癌症注册目标。我们还介绍了一种自动生成数据通知参数先验分布的方法,并增加了基于神经网络模拟器的贝叶斯校准算法的功能。我们预计,适应性强的DESCIPHR建模模板将有助于构建未来评估卫生干预措施风险和效益的决策模型。
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引用次数: 0
Development of a Patient-Level Multi-objective Optimisation Model for Screening Strategies for Childhood Type 1 Diabetes. 儿童1型糖尿病筛查策略患者水平多目标优化模型的建立
IF 4.6 3区 医学 Q1 ECONOMICS Pub Date : 2026-04-01 Epub Date: 2026-02-09 DOI: 10.1007/s40273-025-01581-1
Gonçalo Leiria, R Brett McQueen, Conner Jackson, Marian Rewers, William A Hagopian, Richard A Oram, Jonathan E Fieldsend, Lauric A Ferrat

Objective: To develop a patient-level simulation model of type 1 diabetes (T1D) covering both childhood and adulthood. The goal is to identify and evaluate the cost-effectiveness of optimal screening for pre-symptomatic T1D.

Methods: We developed a Python-based simulation model to track 100,000 participants screened in childhood, capturing a subset of those at risk and transitioning to T1D, to estimate the incremental cost-effectiveness per life year gained of screening versus no screening. Our multi-objective optimisation approach sought to minimise three objectives: incremental cost effectiveness ratio, diabetic ketoacidosis (DKA) events at onset and the maximum number of screening tests a child can have with the healthcare system. The NSGA-II algorithm is used to explore the set of possible screening strategies from combinations of genetic risk score (GRS) and islet autoantibody (IA) measurements at different ages and frequencies during the first 15 years of life. Data for transition probabilities include large scale screening studies such as The Environmental Determinants of Diabetes in the Young, TrialNet, published risk functions, clinical trials and epidemiologic studies.

Results: We illustrate the use of multi-objective optimisation in patient-level simulations by estimating an optimal subset of T1D screening strategies in the USA. We identify four screening strategies with incremental cost-effectiveness ratios that meet commonly cited cost-effectiveness thresholds, which require, respectively, a maximum of 1, 2 3 and 4 islet autoantibody (IA) tests.

Conclusions: This article and corresponding model code can be used as a reference for implementing a multi-objective optimisation pipeline in patient-level simulation models.

目的:建立一个覆盖儿童和成年的1型糖尿病(T1D)患者水平的模拟模型。目的是确定和评估症状前T1D最佳筛查的成本效益。方法:我们开发了一个基于python的模拟模型,跟踪10万名儿童时期接受筛查的参与者,捕捉那些有风险并过渡到T1D的人的子集,以估计筛查与不筛查每生命年获得的增量成本效益。我们的多目标优化方法寻求最小化三个目标:增量成本效益比,发病时糖尿病酮症酸中毒(DKA)事件和儿童在医疗保健系统中可以进行的最大筛查次数。NSGA-II算法用于探索遗传风险评分(GRS)和胰岛自身抗体(IA)测量在生命前15年不同年龄和频率组合的一组可能的筛查策略。转移概率的数据包括大规模筛选研究,如青少年糖尿病的环境决定因素、TrialNet、已发表的风险函数、临床试验和流行病学研究。结果:我们通过估计美国T1D筛查策略的最佳子集来说明在患者级模拟中使用多目标优化。我们确定了四种具有增量成本-效果比的筛选策略,它们满足通常引用的成本-效果阈值,分别需要最多1、2、3和4个胰岛自身抗体(IA)测试。结论:本文及相应的模型代码可作为在患者级仿真模型中实现多目标优化流水线的参考。
{"title":"Development of a Patient-Level Multi-objective Optimisation Model for Screening Strategies for Childhood Type 1 Diabetes.","authors":"Gonçalo Leiria, R Brett McQueen, Conner Jackson, Marian Rewers, William A Hagopian, Richard A Oram, Jonathan E Fieldsend, Lauric A Ferrat","doi":"10.1007/s40273-025-01581-1","DOIUrl":"10.1007/s40273-025-01581-1","url":null,"abstract":"<p><strong>Objective: </strong>To develop a patient-level simulation model of type 1 diabetes (T1D) covering both childhood and adulthood. The goal is to identify and evaluate the cost-effectiveness of optimal screening for pre-symptomatic T1D.</p><p><strong>Methods: </strong>We developed a Python-based simulation model to track 100,000 participants screened in childhood, capturing a subset of those at risk and transitioning to T1D, to estimate the incremental cost-effectiveness per life year gained of screening versus no screening. Our multi-objective optimisation approach sought to minimise three objectives: incremental cost effectiveness ratio, diabetic ketoacidosis (DKA) events at onset and the maximum number of screening tests a child can have with the healthcare system. The NSGA-II algorithm is used to explore the set of possible screening strategies from combinations of genetic risk score (GRS) and islet autoantibody (IA) measurements at different ages and frequencies during the first 15 years of life. Data for transition probabilities include large scale screening studies such as The Environmental Determinants of Diabetes in the Young, TrialNet, published risk functions, clinical trials and epidemiologic studies.</p><p><strong>Results: </strong>We illustrate the use of multi-objective optimisation in patient-level simulations by estimating an optimal subset of T1D screening strategies in the USA. We identify four screening strategies with incremental cost-effectiveness ratios that meet commonly cited cost-effectiveness thresholds, which require, respectively, a maximum of 1, 2 3 and 4 islet autoantibody (IA) tests.</p><p><strong>Conclusions: </strong>This article and corresponding model code can be used as a reference for implementing a multi-objective optimisation pipeline in patient-level simulation models.</p>","PeriodicalId":19807,"journal":{"name":"PharmacoEconomics","volume":" ","pages":"495-507"},"PeriodicalIF":4.6,"publicationDate":"2026-04-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"146143268","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"医学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Beyond the States: Developing a Discrete Event Simulation Model Using R. 超越状态:使用R开发离散事件模拟模型。
IF 4.6 3区 医学 Q1 ECONOMICS Pub Date : 2026-04-01 Epub Date: 2025-11-28 DOI: 10.1007/s40273-025-01560-6
Ziyi Lin, Andrew Briggs

This illustration uses the Scottish Cardiovascular Disease (CVD) Policy Model as a case study to provide a comprehensive, step-by-step guide to building a discrete event simulation (DES) model in R. It is specifically designed for practitioners who are familiar with constructing Markov models in R and wish to transition their theoretical knowledge of DES into practical implementation. The Scottish CVD Policy Model was originally developed as an Excel-based Markov model with a sophisticated structure: a primary Markov model for first events and nested sub-Markov models for subsequent events. Later replicated in R by Xin, Yiqiao et al., the model's source code was made publicly available on GitHub, underscoring its potential as a teaching tool. The intricate structure of this model presents several challenges in health economic modeling, making it an ideal candidate for demonstrating how DES techniques can address such complexities effectively. In this illustration, we deliberately avoid using R packages developed specifically for DES to enhance transparency. Instead, we rely on base R functions, and the tidyverse package for tidy data wrangling. This approach ensures that every step of the DES implementation is clear and reproducible. In addition to covering fundamental topics such as how to simulate a time to event according to an assumed distribution, and continuous discounting, the illustration also provides solutions to more advanced modeling challenges, such as handling piecewise-modeled cost and utility. By discussing both general principles and complex scenarios, this paper equips readers with the practical tools needed to transition from Markov to DES frameworks, enhancing the accuracy and flexibility of health economic evaluations.

本插图使用苏格兰心血管疾病(CVD)政策模型作为案例研究,为在R中构建离散事件模拟(DES)模型提供了一个全面的、循序渐进的指导。它是专门为熟悉在R中构建马尔可夫模型并希望将其理论知识转化为实际实施的从业者设计的。苏格兰CVD政策模型最初是作为一个基于excel的马尔可夫模型开发的,具有复杂的结构:用于第一个事件的主马尔可夫模型和用于后续事件的嵌套子马尔可夫模型。后来,Xin、Yiqiao等人在R中复制了该模型的源代码,并在GitHub上公开发布,强调了其作为教学工具的潜力。该模型的复杂结构在健康经济建模中提出了一些挑战,使其成为展示DES技术如何有效解决此类复杂性的理想候选者。在本例中,我们故意避免使用专门为DES开发的R包,以增强透明度。相反,我们依靠基本的R函数和tidyverse包来整理数据。这种方法确保了DES实现的每个步骤都是清晰的和可复制的。除了涵盖基本的主题,例如如何根据假设的分布模拟事件的时间,以及连续贴现,插图还提供了更高级的建模挑战的解决方案,例如处理分段建模的成本和效用。通过讨论一般原则和复杂场景,本文为读者提供了从马尔可夫框架过渡到DES框架所需的实用工具,提高了卫生经济评估的准确性和灵活性。
{"title":"Beyond the States: Developing a Discrete Event Simulation Model Using R.","authors":"Ziyi Lin, Andrew Briggs","doi":"10.1007/s40273-025-01560-6","DOIUrl":"10.1007/s40273-025-01560-6","url":null,"abstract":"<p><p>This illustration uses the Scottish Cardiovascular Disease (CVD) Policy Model as a case study to provide a comprehensive, step-by-step guide to building a discrete event simulation (DES) model in R. It is specifically designed for practitioners who are familiar with constructing Markov models in R and wish to transition their theoretical knowledge of DES into practical implementation. The Scottish CVD Policy Model was originally developed as an Excel-based Markov model with a sophisticated structure: a primary Markov model for first events and nested sub-Markov models for subsequent events. Later replicated in R by Xin, Yiqiao et al., the model's source code was made publicly available on GitHub, underscoring its potential as a teaching tool. The intricate structure of this model presents several challenges in health economic modeling, making it an ideal candidate for demonstrating how DES techniques can address such complexities effectively. In this illustration, we deliberately avoid using R packages developed specifically for DES to enhance transparency. Instead, we rely on base R functions, and the tidyverse package for tidy data wrangling. This approach ensures that every step of the DES implementation is clear and reproducible. In addition to covering fundamental topics such as how to simulate a time to event according to an assumed distribution, and continuous discounting, the illustration also provides solutions to more advanced modeling challenges, such as handling piecewise-modeled cost and utility. By discussing both general principles and complex scenarios, this paper equips readers with the practical tools needed to transition from Markov to DES frameworks, enhancing the accuracy and flexibility of health economic evaluations.</p>","PeriodicalId":19807,"journal":{"name":"PharmacoEconomics","volume":" ","pages":"389-408"},"PeriodicalIF":4.6,"publicationDate":"2026-04-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145637170","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"医学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Economic Evaluation of Pre-emptive Pharmacogenetic Panel Testing versus No Genetic Testing in a Multi-ethnic Asian Population. 在多种族亚洲人群中,预防性药物遗传小组检测与无基因检测的经济评价。
IF 4.6 3区 医学 Q1 ECONOMICS Pub Date : 2026-03-23 DOI: 10.1007/s40273-026-01586-4
Jamaica Roanne Briones, Jia Hui Chai, Yaroslava Zemlyanska, Elaine Lo, E Shyong Tai, Hwee Lin Wee, J Jaime Caro

Background and objective: The cost-utility of a panel-based pre-emptive pharmacogenomic (PPGx) test has not been evaluated in a multi-ethnic Asian population. Prior studies have largely focused on reactive, single drug-gene tests. This study assessed the cost-utility of a PPGx panel test and identified key drivers influencing its economic value.

Methods: We developed a prioritization framework integrating clinical and economic criteria to select drug-gene pairs for economic analysis. Cost-utility analysis was conducted using Discretely Integrated Condition Event (DICE) simulation, which allowed simultaneous analysis of multiple diseases and treatments of varying duration. The analysis focused on a hypothetical cohort of healthy 40-year-old Singaporeans and assessed the lifetime impact of a one-time panel test on outcomes such as disease occurrence and serious adverse drug events (ADE). Costs were evaluated from a healthcare payer's perspective and reported in 2024 Singapore dollars (S$). Both costs and health outcomes were discounted at 3% annually. Deterministic, probabilistic, and scenario analyses were performed to address uncertainty.

Results:  Four drug-gene pairs were selected: clopidogrel-CYP2C19, capecitabine-DPYD, allopurinol-HLA-B*58:01, and simvastatin-SLCO1B1. In the base case, panel testing was dominant, resulting in savings of S$37,600 and gain of 9.32 quality-adjusted life years (QALYs) per 1000 individuals compared with no PGx testing. Results were sensitive to drug costs, ADE-related costs, and the age for panel administration. Ideal drug-gene pairs for panel inclusion involve commonly prescribed drugs with variants associated with severe ADEs, where genotype-guided alternatives (e.g., dose adjustment or switching therapy) have costs comparable to standard care.

Conclusions: Pre-emptive PGx panel testing is economically viable when panel design, variant prevalence, drug costs, and local prescribing patterns are carefully considered. As more data become available, the model can be tailored to evaluate additional drug-gene pairs and their downstream consequences.

背景和目的:基于小组的先发制人药物基因组学(PPGx)测试的成本效用尚未在多种族亚洲人群中进行评估。先前的研究主要集中在反应性的单一药物基因测试上。本研究评估了PPGx面板测试的成本效用,并确定了影响其经济价值的关键驱动因素。方法:我们开发了一个结合临床和经济标准的优先排序框架,以选择药物基因对进行经济分析。成本-效用分析使用离散综合条件事件(DICE)模拟进行,该模拟允许同时分析多种疾病和不同持续时间的治疗。该分析集中于一个假设的40岁健康新加坡人队列,并评估了一次性小组测试对疾病发生和严重药物不良事件(ADE)等结果的终生影响。从医疗保健支付者的角度评估成本,并以2024年新加坡元(S$)报告。成本和健康结果均按每年3%折现。进行确定性、概率和情景分析以解决不确定性。结果:选取氯吡格雷- cyp2c19、卡培他滨- dpyd、别嘌呤醇- hla - b *58:01、辛伐他汀- slco1b1 4对药物基因。在基本情况下,面板测试占主导地位,与不进行PGx测试相比,每1000人节省了37,600新元,增加了9.32质量调整生命年(QALYs)。结果对药品费用、ade相关费用和小组用药年龄敏感。纳入小组的理想药物-基因对包括与严重ade相关变异的常用处方药,其中基因型指导的替代方案(例如,剂量调整或转换治疗)的成本与标准治疗相当。结论:当仔细考虑面板设计、变异流行率、药物成本和当地处方模式时,先发制人的PGx面板检测在经济上是可行的。随着获得的数据越来越多,该模型可以用于评估其他药物基因对及其下游后果。
{"title":"Economic Evaluation of Pre-emptive Pharmacogenetic Panel Testing versus No Genetic Testing in a Multi-ethnic Asian Population.","authors":"Jamaica Roanne Briones, Jia Hui Chai, Yaroslava Zemlyanska, Elaine Lo, E Shyong Tai, Hwee Lin Wee, J Jaime Caro","doi":"10.1007/s40273-026-01586-4","DOIUrl":"https://doi.org/10.1007/s40273-026-01586-4","url":null,"abstract":"<p><strong>Background and objective: </strong>The cost-utility of a panel-based pre-emptive pharmacogenomic (PPGx) test has not been evaluated in a multi-ethnic Asian population. Prior studies have largely focused on reactive, single drug-gene tests. This study assessed the cost-utility of a PPGx panel test and identified key drivers influencing its economic value.</p><p><strong>Methods: </strong>We developed a prioritization framework integrating clinical and economic criteria to select drug-gene pairs for economic analysis. Cost-utility analysis was conducted using Discretely Integrated Condition Event (DICE) simulation, which allowed simultaneous analysis of multiple diseases and treatments of varying duration. The analysis focused on a hypothetical cohort of healthy 40-year-old Singaporeans and assessed the lifetime impact of a one-time panel test on outcomes such as disease occurrence and serious adverse drug events (ADE). Costs were evaluated from a healthcare payer's perspective and reported in 2024 Singapore dollars (S$). Both costs and health outcomes were discounted at 3% annually. Deterministic, probabilistic, and scenario analyses were performed to address uncertainty.</p><p><strong>Results: </strong> Four drug-gene pairs were selected: clopidogrel-CYP2C19, capecitabine-DPYD, allopurinol-HLA-B*58:01, and simvastatin-SLCO1B1. In the base case, panel testing was dominant, resulting in savings of S$37,600 and gain of 9.32 quality-adjusted life years (QALYs) per 1000 individuals compared with no PGx testing. Results were sensitive to drug costs, ADE-related costs, and the age for panel administration. Ideal drug-gene pairs for panel inclusion involve commonly prescribed drugs with variants associated with severe ADEs, where genotype-guided alternatives (e.g., dose adjustment or switching therapy) have costs comparable to standard care.</p><p><strong>Conclusions: </strong>Pre-emptive PGx panel testing is economically viable when panel design, variant prevalence, drug costs, and local prescribing patterns are carefully considered. As more data become available, the model can be tailored to evaluate additional drug-gene pairs and their downstream consequences.</p>","PeriodicalId":19807,"journal":{"name":"PharmacoEconomics","volume":" ","pages":""},"PeriodicalIF":4.6,"publicationDate":"2026-03-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"147504625","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"医学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
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PharmacoEconomics
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