ISSN 1028-3358, Doklady Physics, 2013, Vol. 58, No. 8, pp. 323–326. © Pleiades Publishing, Ltd., 2013.
Original Russian Text © I.V. Meglinski, V.V. Kal’chenko, Yu.L. Kuznetsov, B.I. Kuznik, V.V. Tuchin, 2013, published in Doklady Akademii Nauk, 2013, Vol. 451, No. 4, pp. 393–396.
323
The intense growth in the number of cardiovascular
deceases, the increase in mortality from the deceases
of the circulatory system [1], and the associated con-
siderable economic damage caused by the loss of abil-
ity to work and patients becoming invalids predeter-
mine the development of new diagnostic methods and
their incorporation into daily clinical practice. Laser
Doppler flowmetry (LDF) has become the most wide-
spread among other non-invasive optical methods of
blood flow diagnostics [2]. The LDF principle is based
on extraction of the component proportional to the
motion velocity of the moving blood cells (the Dop-
pler effect) from the detected signal caused by scatter-
ing probing laser radiation in biological tissue. Due to
the relatively low velocity of the red blood cells, the
Doppler shift (DS) is rather small compared with the
basic frequency of the probing optical radiation;
therefore, lasers are extensively used in such measur-
ing systems. Despite strong light scattering by biologi-
cal tissues, the DS from the blood flow can be mea-
sured with a rather high resolving ability against the
background of the LDF signal in the absence of blood
flow. It is assumed to be evident that the intensity fluc-
tuations of the background LDF signal are caused
exclusively by the Brownian motion of the macromol-
ecules and the blood corpuscles [3, 4]. By analogy with
the definition of the temperature, below which the
normal vital functions of the organism are stopped,
which is used in general biology, the above-mentioned
low-level ischemic signals were called “the biological
zero” [5].
Along with the LDF, researchers apply alternative
methods using scattered laser radiation to detect blood
flow, for example, diffusion-wave spectroscopy (DWS)
[6]. The LDF and DWS methods are related to each
other by the Fourier transform and in fact carry iden-
tical information on the dynamics of the blood flow.
The principle distinction is that low order scattering is
used in the LDF to analyze the scattering radiation,
while multiple scattering is used in the DWS, as a result
of which, the method is sensitive to the spatial shifts of
the light-scattering particles such as erythrocytes
down to parts of nanometers [7, 8]. In addition, since
the scattered laser radiation is detected in the DWS in
the counting mode of single photons, this method is
preferable when working with biological tissues by vir-
tue of the power limitations (no larger than 30 mW),
which are imposed on the laser radiation sources used
in medical diagnostics.
The magnitude measured in the DWS is the tempo-
ral auto-correlation function (ACF) of intensity fluc-
tuations g
2
(τ) [7–9]. For the Gaussian statistics, the
ACF of the intensity fluctuations is associated with the
first-order ACF (by the field) by the Siegert formula
[7, 8]:
, (1)
where is the delay time; A = 〈i〉
2
is the square of the
average value of the photocurrent or the base ACF
line; and β is the dimensionless parameter (0 < β < 1),
the so-called aperture function, which depends on the
coherent properties of the probing laser radiation and
τ= +β τ
2
2 1
() [1 ()] g A g
τ
Towards the Nature of Biological Zero
in the Dynamic Light Scattering Diagnostic Modalities
I. V. Meglinski
a ,b
, V. V. Kal’chenko
c
, Yu. L. Kuznetsov
c
, B. I. Kuznik
d
, and V. V. Tuchin
b, e, f
Presented by Academician I.A. Shcherbakov February 19, 2013
Received February 19, 2013
DOI: 10.1134/S102833581308003X
a
Departmet of Physics, University of Otago,
PO Box 56, Dunedin, 9054 New Zealand
b
Scientific-Educational Institute of Optics and Biophotonics,
Saratov State University, Saratov, 410012 Russia
c
The Weizmann Institute of Science,
234 Herzl Street, Rehovot, 76100 Israel
d
Chita State Medical Academy,
ul. Gor’kogo 39A, Chita, 672090 Russia
e
Institute of Problems of Fine Mechanics and Control,
Russian Academy of Sciences, ul. Rabochaya 24,
Saratov, 410028 Russia
f
University of Oulu, PO Box 8000, Oulu,
FI-90014 Finland
e-mail: igor@physics.otago.ac.nz
PHYSICS