Total least squares (TLS) regression, wavelength, and chromophore selection analysis in NIRS data quantification

Sabine Van Huffel; Paul Casaer; Peter Van Mele; Gert Willems

doi:10.1117/12.210032

30 May 1995 Total least squares (TLS) regression, wavelength, and chromophore selection analysis in NIRS data quantification

Sabine Van Huffel, Paul Casaer, Peter Van Mele, Gert Willems

Author Affiliations +

Proceedings Volume 2389, Optical Tomography, Photon Migration, and Spectroscopy of Tissue and Model Media: Theory, Human Studies, and Instrumentation; (1995) https://doi.org/10.1117/12.210032
Event: Photonics West '95, 1995, San Jose, CA, United States

Abstract

An accuracy analysis is made of currently used near infrared spectroscopy (NIRS) algorithms, based on the Beer-Lambert law, for quantification of chromophore concentration changes in neonatal brain. In particular, the regression method and chromophores considered, as well as the influence of the wavelength-dependent extinction coefficients, on the accuracy of the computed concetration changes of Hb, HbO₂, and Cytaa₃ is investigated. The total least squares method, which considers errors in the specific extinction coefficients as well, is able to double the accuracy (compared to least squares), when appropriate weights, derived from the error variances, are added and enough wavelength measurements (> 100) are available. Furthermore, the influence of the number of wavelenghts used, as well as the importance of the choice of the wavelength sebset, is studied. It is shown that the accuracy significantly increases, up to 10 wavelengths. Additionally, optimizing the condition number of the extinction coefficient matrix allows to select small wavelength subsets that clearly outperform presently used sets in accuracy for all computed concentration changes. Finally, the influence of the chromphores, such as H₂O is shown. H₂O may only be included in the model when enough wavelengths (> 100) are used for NIRS measurement or when the chosen subset minimizes the condition number of the corresponding extinction coefficient matrix.

Citation Download Citation

Sabine Van Huffel, Paul Casaer, Peter Van Mele, and Gert Willems "Total least squares (TLS) regression, wavelength, and chromophore selection analysis in NIRS data quantification", Proc. SPIE 2389, Optical Tomography, Photon Migration, and Spectroscopy of Tissue and Model Media: Theory, Human Studies, and Instrumentation, (30 May 1995); https://doi.org/10.1117/12.210032

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