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Relationship between time-resolved and non-time-resolved Beer - Lambert law in turbid media

Yasutomo Nomura, Osamu Hazeki and Mamoru Tamura

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The time-resolved Beer - Lambert law proposed for oxygen monitoring using pulsed light was extended to the non-time-resolved case in a scattered medium such as living tissues with continuous illumination. The time-resolved Beer - Lambert law was valid for the phantom model and living tissues in the visible and near-infrared regions. The absolute concentration and oxygen saturation of haemoglobin in rat brain and thigh muscle could be determined. The temporal profile of rat brain was reproduced by Monte Carlo simulation. When the temporal profiles of rat brain under different oxygenation states were integrated with time, the absorbance difference was linearly related to changes in the absorption coefficient. When the simulated profiles were integrated, there was a linear relationship within the absorption coefficient which was predicted for fractional inspiratory oxygen concentration from 10 to 100% and, in the case beyond the range of the absorption coefficient, the deviation from linearity was slight. We concluded that an optical pathlength which is independent of changes in the absorption coefficient is a good approximation for near-infrared oxygen monitoring.


PACS

87.64.K- Spectroscopy

87.19.L- Neuroscience

87.63.L- Visual imaging

87.14.E- Proteins

87.19.Ff Muscles

Subjects

Medical physics

Biological physics

Dates

Issue 6 (June 1997)

Received 16 September 1996, in final form 14 January 1997



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