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

Angelo Sassaroli; Jana Kainerstorfer; Sergio Fantini

doi:10.1117/12.2075447

5 March 2015 Comparison of linear and nonlinear models for coherent hemodynamics spectroscopy (CHS)

Angelo Sassaroli, Jana Kainerstorfer, Sergio Fantini

Proceedings Volume 9319, Optical Tomography and Spectroscopy of Tissue XI; 931916 (2015) https://doi.org/10.1117/12.2075447
Event: SPIE BiOS, 2015, San Francisco, California, United States

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.

Citation Download Citation

Angelo Sassaroli, Jana Kainerstorfer, and Sergio Fantini "Comparison of linear and nonlinear models for coherent hemodynamics spectroscopy (CHS)", Proc. SPIE 9319, Optical Tomography and Spectroscopy of Tissue XI, 931916 (5 March 2015); https://doi.org/10.1117/12.2075447

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KEYWORDS

Capillaries

Blood

Blood circulation

Hemodynamics

Mathematical modeling

Oxygen

Spectroscopy

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