Thomas Grandits, Christoph M Augustin, Gundolf Haase, Norbert Jost, Gary R Mirams, Steven A Niederer, Gernot Plank, András Varró, László Virág, Alexander Jung
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The NN emulator potentially enables massive speed-ups compared to regular simulations and the forward problem (find drugged AP for pharmacological parameters defined as scaling factors of control maximum conductances) on synthetic data could be solved with average root-mean-square errors (RMSE) of 0.47mV in normal APs and of 14.5mV in abnormal APs exhibiting early afterdepolarizations (72.5% of the emulated APs were alining with the abnormality, and the substantial majority of the remaining APs demonstrated pronounced proximity). This demonstrates not only very fast and mostly very accurate AP emulations but also the capability of accounting for discontinuities, a major advantage over existing emulation strategies. Furthermore, the inverse problem (find pharmacological parameters for control and drugged APs through optimization) on synthetic data could be solved with high accuracy shown by a maximum RMSE of 0.21 in the estimated pharmacological parameters. However, notable mismatches were observed between pharmacological parameters estimated from experimental data and distributions obtained from the Comprehensive in vitro Proarrhythmia Assay initiative. This reveals larger inaccuracies which can be attributed particularly to the fact that small tissue preparations were studied while the emulator was trained on single cardiomyocyte data. 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引用次数: 0
摘要
人类心室心肌细胞动作电位(AP)计算机模型的细节和成熟度已达到一定水平,因此在制药领域的应用越来越多。然而,将模型与实验数据连接起来会给计算带来很大的负担。为了减轻计算负担,本研究引入了一种神经网络(NN),它能在给定离子通道、泵和交换器最大电导的情况下模拟 AP。在合成数据和实验数据上测试了它在药理学研究中的适用性。与常规模拟相比,神经网络仿真器可大幅提高速度,在合成数据上解决前向问题(根据定义为控制最大电导缩放因子的药理学参数找到药物性 AP)时,正常 AP 的平均均方根误差(RMSE)为 0.47 mV,而表现出早期后极化的异常 AP 的平均均方根误差(RMSE)为 14.5 mV(72.5% 的仿真 AP 与异常 AP 一致,其余大部分 AP 表现出明显的接近性)。这不仅表明 AP 仿真速度非常快,而且大多非常准确,同时还能考虑到不连续性,这是现有仿真策略的一大优势。此外,在合成数据上解决反问题(通过优化找到控制和药物 AP 的药理参数)的精度很高,估计药理参数的最大均方根误差为 0.21。然而,从实验数据中估算出的药理参数与从体外原发性心律失常综合分析计划中获得的分布之间存在明显的不匹配。这揭示了较大的误差,这主要归因于研究了小型组织制剂,而仿真器是根据单个心肌细胞数据进行训练的。总之,我们的研究强调了 NN 仿真器的潜力,它是提高未来定量系统药理学研究效率的有力工具。
Neural network emulation of the human ventricular cardiomyocyte action potential: a tool for more efficient computation in pharmacological studies.
Computer models of the human ventricular cardiomyocyte action potential (AP) have reached a level of detail and maturity that has led to an increasing number of applications in the pharmaceutical sector. However, interfacing the models with experimental data can become a significant computational burden. To mitigate the computational burden, the present study introduces a neural network (NN) that emulates the AP for given maximum conductances of selected ion channels, pumps, and exchangers. Its applicability in pharmacological studies was tested on synthetic and experimental data. The NN emulator potentially enables massive speed-ups compared to regular simulations and the forward problem (find drugged AP for pharmacological parameters defined as scaling factors of control maximum conductances) on synthetic data could be solved with average root-mean-square errors (RMSE) of 0.47mV in normal APs and of 14.5mV in abnormal APs exhibiting early afterdepolarizations (72.5% of the emulated APs were alining with the abnormality, and the substantial majority of the remaining APs demonstrated pronounced proximity). This demonstrates not only very fast and mostly very accurate AP emulations but also the capability of accounting for discontinuities, a major advantage over existing emulation strategies. Furthermore, the inverse problem (find pharmacological parameters for control and drugged APs through optimization) on synthetic data could be solved with high accuracy shown by a maximum RMSE of 0.21 in the estimated pharmacological parameters. However, notable mismatches were observed between pharmacological parameters estimated from experimental data and distributions obtained from the Comprehensive in vitro Proarrhythmia Assay initiative. This reveals larger inaccuracies which can be attributed particularly to the fact that small tissue preparations were studied while the emulator was trained on single cardiomyocyte data. Overall, our study highlights the potential of NN emulators as powerful tool for an increased efficiency in future quantitative systems pharmacology studies.