Yao Mengsha, Allayioti Maria, Saldich Emily, Wong Georgia, Wang Chunming, Luczak Susan E, Rosen I G
Department of Mathematics Temple University Philadelphia PA 19122, USA.
Department of Mathematics University of Southern California Los Angeles CA 90089-2532, USA.
Appl Math Mod Chall. 2024 Mar;2(1):38-69. doi: 10.3934/ammc.2024003.
The utility of newly developed wearable biosensors for passively, non-invasively, and continuously measuring transdermal alcohol levels in the body in real time has been limited by the fact that raw transdermal alcohol data does not consistently correlate (quantitatively or temporally) with interpretable metrics of breath and blood across individuals, devices, and the environment. A novel method using a population model in the form of a random abstract hybrid system of ordinary and partial differential equations and linear quadratic tracking control in Hilbert space is developed to estimate blood or breath alcohol concentration from the biosensor-produced transdermal alcohol level signal. Using human subject data in the form of 270 drinking episodes, the method is shown to produce estimates of blood or breath alcohol concentration that are highly correlated and thus good predictors of breath analyzer measurements. Moreover, although the method requires some advanced offline training on a laptop or on the cloud, it produces the estimated blood or breath alcohol concentration recursively online in real time and requires only computations that could be carried out on either the biosensor's built-in processor or on a portable mobile device such as a phone or tablet.
新开发的可穿戴生物传感器用于实时被动、非侵入性且连续地测量人体透皮酒精水平,其效用受到限制,原因在于原始透皮酒精数据在个体、设备和环境之间,与可解释的呼气和血液指标(在定量或时间方面)并非始终相关。本文开发了一种新方法,该方法采用以常微分方程和偏微分方程的随机抽象混合系统形式的总体模型以及希尔伯特空间中的线性二次跟踪控制,以从生物传感器产生的透皮酒精水平信号估计血液或呼气酒精浓度。利用270次饮酒事件形式的人体受试者数据,该方法显示出能够产生与呼气分析仪测量值高度相关的血液或呼气酒精浓度估计值,因此是呼气分析仪测量值的良好预测指标。此外,尽管该方法需要在笔记本电脑或云端进行一些高级离线训练,但它能实时递归地在线产生估计的血液或呼气酒精浓度,并且只需要在生物传感器的内置处理器或诸如手机或平板电脑等便携式移动设备上即可进行计算。