Byun Jong Hyuk
Department of Mathematics, College of Natural Sciences and Institute of Mathematical Sciences, Pusan National University, Busan, 46241, Republic of Korea.
Pharm Res. 2024 Sep;41(9):1787-1795. doi: 10.1007/s11095-024-03752-9. Epub 2024 Aug 14.
Drug concentration-response curves (DRCs) are crucial in pharmacology for assessing the drug effects on biological systems. The widely used sigmoid Emax model, which accounts for response saturation, relies heavily on the effective drug concentration ( ). This reliance can lead to validation errors and inaccuracies in model fitting. The Emax model cannot generate multiple DRCs, raising concerns about whether the dataset is fully utilized.
This study formulates an extended Emax (eEmax) model designed to overcome these limitations. The eEmax model generates multiple DRCs from a single dataset by using various estimated , while keeping fixed, rather than estimating an value as in the Emax model.
This model effectively captures a broader range of concentration-response behavior, including non-sigmoidal patterns, thus providing greater flexibility and accuracy compared to the Emax model. Validation using various drug-response data and PKPD frameworks demonstrates the eEmax model's improved accuracy and versatility in handling concentration-response data.
The eEmax model provides a robust and flexible method for drug concentration-response analysis, facilitating the generation of multiple DRCs from a single dataset and reducing the possibility of validation errors. This model is particularly valuable for its ease of use and its capability to fully utilize datasets, providing its potential in PKPD modeling and drug discovery.
药物浓度-反应曲线(DRCs)在药理学中对于评估药物对生物系统的作用至关重要。广泛使用的S形Emax模型考虑了反应饱和情况,但严重依赖有效药物浓度( )。这种依赖可能导致模型拟合中的验证错误和不准确。Emax模型无法生成多个DRCs,引发了对数据集是否得到充分利用的担忧。
本研究制定了一个扩展的Emax(eEmax)模型,旨在克服这些局限性。eEmax模型通过使用各种估计的 ,在保持 固定的情况下,从单个数据集中生成多个DRCs,而不是像Emax模型那样估计一个 值。
该模型有效地捕捉了更广泛的浓度-反应行为,包括非S形模式,因此与Emax模型相比具有更大的灵活性和准确性。使用各种药物反应数据和PKPD框架进行验证,证明了eEmax模型在处理浓度-反应数据方面提高了准确性和通用性。
eEmax模型为药物浓度-反应分析提供了一种强大而灵活的方法,有助于从单个数据集中生成多个DRCs,并减少验证错误的可能性。该模型因其易用性和充分利用数据集的能力而特别有价值,在PKPD建模和药物发现中具有潜力。