Determination of physiological levels of glucose in an aqueous matrix with digitally filtered Fourier transform near-infrared spectra.

A procedure is described for the measurement of clinically relevant concentrations of glucose in aqueous solutions with near-infrared (NIR) absorbance spectroscopy. A glucose band centered at 4400 cm-1 is used for this analysis. NIR spectra are collected over the frequency range 5000-4000 cm-1 with a Fourier transform spectrometer. A narrow-band-pass optical interference filter is placed in the optical path of the spectrometer to eliminate light outside this restricted range. This configuration provides a 2.9-fold reduction in spectral noise by utilizing the dynamic range of the detector solely for light transmitted through the filter. In addition, a novel spectral processing scheme is described for extracting glucose concentration information from the resulting absorbance spectra. The key component of this scheme is a digital Fourier filter that removes both high-frequency noise and low-frequency base-line variations from the spectra. Numerical optimization procedures are used to identify the best location and width of a Gaussian-shaped frequency response function for this Fourier filter. A dynamic area calculation, coupled with a simple linear base-line correction, provides an integrated area from the processed spectra that is linearly related to glucose concentrations over the range 1-20 mM. The linear calibration model accurately predicted glucose levels in a series of test solutions with an overall mean percent error of 2.5%. Based on the uncertainty in the parameters defining the calibration model and the variability of the magnitudes of the integrated areas, an overall uncertainty of 7.8% was estimated for predicted glucose concentrations.

[1]  John A. Nelder,et al.  A Simplex Method for Function Minimization , 1965, Comput. J..

[2]  R. Landgraf,et al.  Blood Glucose Measurement by Infrared Spectroscopy , 1989, The International journal of artificial organs.

[3]  S. Deming,et al.  Simplex optimization of analytical chemical methods , 1974 .

[4]  K. T. Whitby,et al.  Non-ideal collection characteristics of inertial impactors—II. Cascade impactors , 1978 .

[5]  G. Dull,et al.  Determination of Individual Simple Sugars in Aqueous Solution by Near Infrared Spectrophotometry , 1984 .

[6]  L. Kaplan,et al.  Methods in Clinical Chemistry , 1987 .

[7]  P. A. Baedecker,et al.  Comments on least-squares polynomial filters for initial point and slope estimation , 1985 .

[8]  Gary Horlick,et al.  Digital data handling of spectra utilizing Fourier transformations , 1972 .

[9]  I. Warner,et al.  Fourier Transform Filtering of Two-Dimensional Fluorescence Data , 1984 .

[10]  S. C. Stern,et al.  Collection Efficiency of Jet Impactors at Reduced Pressures , 1962 .

[11]  Peter J. Statham,et al.  Deconvolution and background subtraction by least-squares fitting with prefiltering of spectra , 1977 .

[12]  M. B. Denton,et al.  Performance of the Super Modified Simplex , 1977 .

[13]  S. Woodward How Fibroblasts and Giant Cells Encapsulate Implants: Considerations in Design of Glucose Sensors , 1982, Diabetes Care.

[14]  Norman R. Draper,et al.  Applied regression analysis (2. ed.) , 1981, Wiley series in probability and mathematical statistics.

[15]  D. J. Harrison,et al.  Characterization of perfluorosulfonic acid polymer coated enzyme electrodes and a miniaturized integrated potentiostat for glucose analysis in whole blood. , 1988, Analytical chemistry.

[16]  Gary Horlick,et al.  A Simple and Versatile Fourier Domain Digital Filter , 1976 .

[17]  A. Savitzky,et al.  Smoothing and Differentiation of Data by Simplified Least Squares Procedures. , 1964 .

[18]  H. M. Heise,et al.  Multivariate determination of glucose in whole blood by attenuated total reflection infrared spectroscopy , 1989 .

[19]  Y. Yamasaki,et al.  Closed-Loop Glycemic Control with a Wearable Artificial Endocrine Pancreas Variations in Daily Insulin Requirements to Glycemic Response , 1984, Diabetes.

[20]  Y. Hayashi,et al.  Rapid chemiluminescence measurements by digital processing of signals and smoothing by fourier transform , 1985 .

[21]  W. E. Ranz,et al.  Impaction of Dust and Smoke Particles on Surface and Body Collectors. , 1952 .

[22]  A. Vinik,et al.  Mutant Insulin Syndromes , 1988, Hormone and metabolic research = Hormon- und Stoffwechselforschung = Hormones et metabolisme.

[23]  D. Lundgren An aerosol sampler for determination of particle concentration as a function of size and time. , 1967, Journal of the Air Pollution Control Association.

[24]  Joel M. Harris,et al.  Least-squares polynomial filters for initial point and slope estimation , 1984 .

[25]  Problems of smoothing differentiation of data by least-squares procedures and possible solutions , 1987 .

[26]  R. Jakobsen,et al.  An Algorithm for the Reproducible Spectral Subtraction of Water from the FT-IR Spectra of Proteins in Dilute Solutions and Adsorbed Monolayers , 1986 .

[27]  R. W. Hornbeck Numerical Methods , 1975 .

[28]  D. Glover,et al.  Determination of subnanogram quantities of silver in snow by furnace atomic absorption spectrometry , 1973 .

[29]  Gary M. Hieftje,et al.  Digital smoothing of electroanalytical data based on the Fourier transformation , 1973 .

[30]  C. Bush,et al.  Fourier method for digital data smoothing in circular dichroism spectrometry , 1974 .

[31]  Jack L. Koenig,et al.  A New Baseline Correction Algorithm Using Objective Criteria , 1987 .

[32]  G. Hicks,et al.  The Enzyme Electrode , 1967, Nature.

[33]  Y. Takashima,et al.  An experimental study of adhesion of particles with a round nozzle impactor. , 1981 .

[34]  Thomas L. Isenhour,et al.  Equivalent width criterion for determining frequency domain cutoffs in Fourier transform smoothing , 1981 .

[35]  Sohrab Mansouri,et al.  A Miniature Optical Glucose Sensor Based on Affinity Binding , 1984, Bio/Technology.

[36]  D. E. Jennings,et al.  Elimination of Baseline Variations from a Recorded Spectrum by Ultra-Low Frequency Filtering , 1980 .

[37]  T. T. Mercer,et al.  Impaction from round jets. , 1969, The Annals of occupational hygiene.