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Exposure-response modelling approaches for determining optimal dosing rules in children
Ian Wadsworth1,2, Lisa V Hampson3, Björn Bornkamp3
1Department of Mathematics & Statistics, Fylde College, Lancaster University, Lancaster, UK.
Insights
Pediatric drug dosing can be improved by modeling age-related exposure-response relationships. New methods like Bayesian penalized B-splines offer more accurate dosing rules than traditional age groupings for children.
Area of Science:
- Pharmacometrics
- Pediatric Pharmacology
- Biostatistics
Background:
- Paediatric populations exhibit varying exposure-response relationships across different age groups.
- Current regulatory guidance suggests general age groupings, but their suitability for all drugs and diseases is uncertain.
- Accurate dosing in children requires understanding how drug effects change with age.
Purpose of the Study:
- To evaluate model-based approaches for quantifying age-related changes in exposure-response parameters.
- To develop an optimal dosing rule strategy based on age-varying parameters.
- To assess the performance of these methods in pediatric drug development.
Main Methods:
- Utilized Bayesian penalized B-splines and model-based recursive partitioning to model continuous age.
- Developed methods for deriving optimal dosing rules from age-dependent exposure-response models.
- Conducted simulation studies using linear and Emax exposure-response models, motivated by epilepsy drug development and in vitro cyclosporine data.
Main Results:
- Both Bayesian penalized B-splines and bootstrapped model-based recursive partitioning effectively estimated linear exposure-response parameters.
- These novel methods outperformed traditional linear models using categorical age covariates (ICH E11 groupings).
- Bayesian penalized B-splines demonstrated superior accuracy in estimating model parameters compared to recursive partitioning.
Conclusions:
- Model-based approaches provide a more precise way to characterize age-related exposure-response relationships in pediatric populations.
- Bayesian penalized B-splines offer a robust and accurate method for optimizing pediatric dosing strategies.
- These findings support the development of more tailored and effective dosing regimens for children.
Abstract:
Within paediatric populations, there may be distinct age groups characterised by different exposure-response relationships. Several regulatory guidance documents have suggested general age groupings. However, it is not clear whether these categorisations will be suitable for all new medicines and in all disease areas. We consider two model-based approaches to quantify how exposure-response model parameters vary over a continuum of ages: Bayesian penalised B-splines and model-based recursive partitioning. We propose an approach for deriving an optimal dosing rule given an estimate of how exposure-response model parameters vary with age. Methods are initially developed for a linear exposure-response model. We perform a simulation study to systematically evaluate how well the various approaches estimate linear exposure-response model parameters and the accuracy of recommended dosing rules. Simulation scenarios are motivated by an application to epilepsy drug development. Results suggest that both bootstrapped model-based recursive partitioning and Bayesian penalised B-splines can estimate underlying changes in linear exposure-response model parameters as well as (and in many scenarios, better than) a comparator linear model adjusting for a categorical age covariate with levels following International Conference on Harmonisation E11 groupings. Furthermore, the Bayesian penalised B-splines approach consistently estimates the intercept and slope more accurately than the bootstrapped model-based recursive partitioning. Finally, approaches are extended to estimate Emax exposure-response models and are illustrated with an example motivated by an in vitro study of cyclosporine.
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