Deconvolving an estimate of breath measured blood alcohol concentration from biosensor collected transdermal ethanol data

Biosensor measurement of transdermal alcohol concentration in perspiration exhibits significant variance from subject to subject and device to device. Short duration data collected in a controlled clinical setting is used to calibrate a forward model for ethanol transport from the blood to the senso...

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Bibliographic Details
Published in:Applied mathematics and computation Vol. 196; no. 2; pp. 724 - 743
Main Authors: Dumett, M.A., Rosen, I.G., Sabat, J., Shaman, A., Tempelman, L., Wang, C., Swift, R.M.
Format: Journal Article
Language:English
Published: New York, NY Elsevier Inc 01.03.2008
Elsevier
Subjects:
Adjoint method
Approximations and expansions
Blood alcohol concentration
Breath alcohol concentration
Calculus of variations and optimal control
Deconvolution
Exact sciences and technology
Inverse problem
Least squares
Mathematical analysis
Mathematics
Numerical analysis
Numerical analysis. Scientific computation
Numerical approximation
Numerical methods in mathematical programming, optimization and calculus of variations
Optimization
Sciences and techniques of general use
Transdermal alcohol biosensor
Transdermal alcohol concentration
Deconvolution
Transdermal alcohol biosensor
Breath alcohol concentration
Least squares
Adjoint method
Blood alcohol concentration
Transdermal alcohol concentration
Optimization
Inverse problem
Optimization method
Discrete scheme
Variance
Spline approximation
Numerical approximation
Numerical analysis
Applied mathematics
Least squares method
Problem solving
Mathematical programming
ISSN:0096-3003, 1873-5649
Online Access:Get full text
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Summary:Biosensor measurement of transdermal alcohol concentration in perspiration exhibits significant variance from subject to subject and device to device. Short duration data collected in a controlled clinical setting is used to calibrate a forward model for ethanol transport from the blood to the sensor. The calibrated model is then used to invert transdermal signals collected in the field (short or long duration) to obtain an estimate for breath measured blood alcohol concentration. A distributed parameter model for the forward transport of ethanol from the blood through the skin and its processing by the sensor is developed. Model calibration is formulated as a nonlinear least squares fit to data. The fit model is then used as part of a spline based scheme in the form of a regularized, non-negatively constrained linear deconvolution. Fully discrete, steepest descent based schemes for solving the resulting optimization problems are developed. The adjoint method is used to accurately and efficiently compute requisite gradients. Efficacy is demonstrated on subject field data.
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ISSN:0096-3003
1873-5649
DOI:10.1016/j.amc.2007.07.026