Modified lambert beer for bilirubin concentration and blood oxygen saturation prediction

Abstract

Noninvasive measurement of health parameters such as blood oxygen saturation and bilirubin concentration predicted via an appropriate light reflectance model based on the measured optical signals is of eminent interest in biomedical research. This is to replace the use of conventional invasive blood sampling approach. This study aims to investigate the feasibility of using Modified Lambert Beer model (MLB) in the prediction of one’s bilirubin concentration and blood oxygen saturation value, SO2. This quantification technique is based on a priori knowledge of extinction coefficients of bilirubin and hemoglobin derivatives in the wavelength range of 440 – 500 nm. The validity of the prediction was evaluated using light reflectance data from TracePro raytracing software for a single-layered skin model with varying bilirubin concentration. The results revealed some promising trends in the estimated bilirubin concentration with mean ± standard deviation (SD) error of 0.255 ± 0.025 g/l. Meanwhile, a remarkable low mean ± SD error of 9.11 ± 2.48 % was found for the predicted SO2 value. It was concluded that these errors are likely due to the insufficiency of the MLB at describing changes in the light attenuation with the underlying light absorption processes. In addition, this study also suggested the use of a linear regression model deduced from this work for an improved prediction of the required health parameter values.

Beer–Lambert law for optical tissue diagnostics: current state of the art and the main limitations

“…Method was implemented in NIRO-300tissue clinical monitoring device developed by Suzuki et al 51 Measurements were taken at four wavelengths: 775, 810, 850, and 905 nm. Ong et al 3 used the program TracePro 52 to model light propagation in one layer medium and compared these results with MBLL data to find bilirubin concentration (c bil ), oxygen saturation (SO 2 ), parameters G and d in blood. Measurements were taken at the wavelength band 440 to 500 nm with a 2-nm step, and the following expression was used: E Q -T A R G E T ; t e m p : i n t r a l i n k -; e 0 4 1 ; 1 1 6 ; 3 7 9…”

Modelling and predicting energy consumption in laboratory buildings using multiple linear regression

“…Few factors have been studied and will be used to analyse the relationship between the factors and the energy consumption. Several researches have been carried out to assess the influencing factors of building energy consumption using multiple regression analysis [4][5] [6]. Multiple linear regression models the relationship between two or more explanatory variables and a response variable by fitting a linear equation to observed data [7] [8] [9].…”

Excess Absorbance as a Novel Approach for Studying the Self-Aggregation of Vital Dyes in Liquid Solution

“…This law is an empirical tool employed for determining the purity or the concentration of an absorber. Furthermore, it is also applied for the concentration measurements of living tissue chromophores, as well as in the estimation of physiological parameters, e.g., blood oxygen saturation [ 11 , 12 ]. The Lambert–Beer law states that the absorptive capacity of a dissolved substance is directly proportional to its concentration, namely that the chromophore absorbance is a linear function of its concentration.…”