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The doppler scattering model with variable blood volume in laser doppler flowmetry


Lapitan D.G. - Research Scientist, Laboratory of Medical Physics Research, Moscow Regional Scientific and Research Clinical Institute named after M.F. Vladimirsky (MONIKI) E-mail:

Laser Doppler Flowmetry (LDF) is technology in modern medicine which allows to non-invasively investigate the blood microcircu-lation system. It is based on the tissue illumination by laser light and detection the backscattered from tissue radiation. The total signal backscattered both from moving red blood cells with Doppler frequency shift and from motionless scatterers on the initial radiation frequency is registered. Signal processing algorithm in LDF is based on the model of Bonner and Nossal, in which the blood flow is calculated with the use of the first-order moment of the power spectral density of a flowmeter’s output electrical signal. The basic theory of LDF was constructed with a large number of assumptions one of them is stationary amplitude of the reference beam scattered on motionless elements in tissues. But in practice, the fluctuations of this beam are observed due to the action of various rhythmic processes involved in the mechanisms of regulation of microcirculation system. The total amplitude of the backscattered flux strongly and nonlinear depends on the blood volume in the tested tissue. So the aim of this work is to study theoretically the effect of amplitude modulation of light flux incident on a photodetector applied to LDF. The Doppler scattering model taking into account the fluctuations of blood volume level in the tissue due to various rhythmic processes in the blood microcirculation system was developed. Based on modified model of Kubelka-Munk the simple analytical expressions for intensity of backscattered from tissue reference and Doppler fluxes depending on the blood volume level of tissue were obtained. The influence of modulation depth of blood volume on the modulation depth of amplitudes of reference and Doppler optical fields was investigated. The analytical expression for the photocurrent autocorrelation function which differs from the classical expression by the addition of components caused by amplitude modulation of blood volume. The analytical expression for a power spectral density of the photocurrent detected in LDF was obtained. It represents the sum of three components: amplitude-modulated, Doppler and beatings of amplitude-modulated and Doppler signals. It was shown that the ratio of the contribution of the amplitude-modulated signal in the spectrum to the Doppler signal is proportional to the square of the modulation depth of blood volume level. Using the numerical simulation the influence of low-frequency amplitude-modulated signal on the output perfusion signal registered in LDF was investigated. It was shown that this signal makes a significant contribution to the output signal that is not taken into consideration in the classical model of LDF and in the existing instruments implementing it. So the developed model is more universal compared to classical model and allows to simulate Doppler signal both in the presence and in the absence of the effect of amplitude modulation of tissue blood volume and for various optical properties of the medium of light propagation.


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