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Proceedings Paper

Comparison of linear and nonlinear models for coherent hemodynamics spectroscopy (CHS)
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Paper Abstract

A recently proposed linear time-invariant hemodynamic model for coherent hemodynamics spectroscopy1 (CHS) relates the tissue concentrations of oxy- and deoxy-hemoglobin (outputs of the system) to given dynamics of the tissue blood volume, blood flow and rate constant of oxygen diffusion (inputs of the system). This linear model was derived in the limit of “small” perturbations in blood flow velocity. We have extended this model to a more general model (which will be referred to as the nonlinear extension to the original model) that yields the time-dependent changes of oxy and deoxy-hemoglobin concentrations in response to arbitrary dynamic changes in capillary blood flow velocity. The nonlinear extension to the model relies on a general solution of the partial differential equation that governs the spatio-temporal behavior of oxygen saturation of hemoglobin in capillaries and venules on the basis of dynamic (or time resolved) blood transit time. We show preliminary results where the CHS spectra obtained from the linear and nonlinear models are compared to quantify the limits of applicability of the linear model.

Paper Details

Date Published: 5 March 2015
PDF: 7 pages
Proc. SPIE 9319, Optical Tomography and Spectroscopy of Tissue XI, 931916 (5 March 2015); doi: 10.1117/12.2075447
Show Author Affiliations
Angelo Sassaroli, Tufts Univ. (United States)
Jana Kainerstorfer, Tufts Univ. (United States)
Sergio Fantini, Tufts Univ. (United States)

Published in SPIE Proceedings Vol. 9319:
Optical Tomography and Spectroscopy of Tissue XI
Bruce J. Tromberg; Arjun G. Yodh; Eva Marie Sevick-Muraca; Robert R. Alfano, Editor(s)

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