Towards Quantitative photoacoustic tomography for partial view array transducers

One of the challenges of quantitative Photoacoustic (PA) imaging is unmixing the optical absorption (mu a) of the tissue from system response (C) and Gruneisen parameter (Gamma). In this study, we have calculated the absorption coefficient and functional parameters, i.e. total hemoglobin (tHb) and oxygen saturation (sO2) of 5 blood tubes with sO2 values ranging from 24.9% to 97.6% at different depths in intralipid solution. Beer's law is used to calculate the optical fluence in the target area. Initial values for mu a and Cx Gamma are found by fitting a line to the log of PA beam data. These initial values are iteratively updated using a conjugate gradient method. This process is repeated for all 11 wavelengths. The absorption coefficient spectrum follows the molar extinction coefficient spectrum of deoxy hemoglobin for lower sO2 percentages, and it becomes closer to the spectrum of oxy hemoglobin when the sO2 percentage increases. The calculated absorption coefficients at 11 wavelengths are used to estimate the absolute value of the tHb and sO2 of each blood sample at different depths. The mean error of the estimated tHb values for blood tubes at all depths with respect to the real values are less than 13%. Moreover, the largest sO2 estimation error is 7.5% for the blood sample with sO2 of 24. 9%. Our quantitative PA method performed well for the data collected from blood samples. We are investigating this method on our clinical data.