COMPARISON BETWEEN LASER DOPPLER
FLOWMETRY SIGNALS RECORDED IN GLABROUS
AND NON GLABROUS SKIN
Time and Frequency Analyses
Edite Figueiras
Instrumentation Center (GEI-CI), Physics Department, Faculty of Sciences and Technology of Coimbra University
Rua Larga, P-3004-516 Coimbra, Portugal
Pierre Abraham
Laboratoire de Physiologie et d’Explorations Vasculaires, UMR CNRS 6214-INSERM 771
Centre Hospitalier Universitaire d’Angers, 49033 Angers Cedex 01, France
Luis F. Requicha Ferreira
Instrumentaiton Center (GEI-CI), Physics Department, Faculty of Sciences and Technology of Coimbra University
Rua Larga, P-3004-516 Coimbra, Portugal
Anne Humeau
Groupe Esaip, 18 rue du 8 mai 1945, BP 80022, 49180 Saint Barthélémy d’Anjou cedex, France
Laboratoire d’Ingénierie des Systèmes Automatisés (LISA), Université d’Angers
62 Avenue Notre Dame du Lac, 49000 Angers, France
Keywords: Laser Doppler flowmetry, Skin microcirculation, Glabrous skin, Non glabrous skin, Power-law, Fractal.
Abstract: Skin microvascular properties vary with anatomical zones. Thus, glabrous skin found in fingers, toes, nail
beds, hand palms and feet soles has a high density of arteriovenous anastomoses (AVAs). In contrast, skin
found in sites such as ventral face of the forearms do not possess AVAs and therefore microvascular blood
flow in this non glabrous skin is different. We herein propose to analyse laser Doppler flowmetry (LDF)
signals that reflect skin microvascular perfusion, in two different sites of healthy subjects: hand (glabrous
skin) and ventral face of the forearm (non glabrous skin). The signal analysis is performed both in the time
and in the frequency domains. Our results show that the mean amplitude of LDF signals recorded in the
hand is generally higher than in the forearm. Moreover, the signal fluctuations observed in the hand are
much higher than the ones observed in the forearm. Our work also shows that the power spectrum of LDF
signals recorded in hand and forearm can be different. They both may possess characteristics of fractal
processes but these characteristics may be different for the two anatomical sites.
1 INTRODUCTION
The human skin anatomy and function vary with age
and region of the body. Human skin consists of three
main layers: the epidermis, the dermis, and the
hypodermis. The dermis has a microvascular
network, i.e. it has blood flow passing through
vessels smaller than 100 µm (Morales, 2005),
organized in two horizontal plexuses: the upper
horizontal plexus and the lower horizontal plexus.
Some parts of the skin also possess arteriovenous
anastomoses (AVAs) or shunts that allow blood flow
to bypass superficial skin layers, thus providing
efficient thermal regulation (Berardesca et al.,
133
Figueiras E., Abraham P., Requicha Ferreira L. and Humeau A. (2010).
COMPARISON BETWEEN LASER DOPPLER FLOWMETRY SIGNALS RECORDED IN GLABROUS AND NON GLABROUS SKIN - Time and
Frequency Analyses.
In Proceedings of the Third International Conference on Bio-inspired Systems and Signal Processing, pages 133-138
DOI: 10.5220/0002588401330138
Copyright
c
SciTePress
2002). Therefore, different types of skin are found.
Thus, glabrous skin is found in regions such as hand
palms (where there are AVAs), whereas non
glabrous skin is found in zones such as
forearms (where there are no AVAs). Glabrous skin
is mediated by a vasoconstrictor system, whereas
non glabrous skin is mediated by both adrenergic
vasoconstrictor nerves and an active vasodilator
system.
Disorders of the blood microcirculation system
are known to play a significant role in the
development of various diseases, such as diabetes,
peripheral vascular disease or Raynaud’s
phenomenon. Because the skin is so accessible, there
are many new ways of studying it, based mainly on
the quantification of its optical and thermal
properties which are modified by the amount of
blood perfusion (Berardesca et al., 2002). These
techniques are being improved constantly. In the last
few years, attention has been drawn to the laser
Doppler flowmetry (LDF).
LDF is a non invasive technique enabling the
monitoring of microvascular blood flow. With this
technique it is possible to monitor blood flow at a
single point (laser Doppler perfusion monitoring -
LDPM) or map tissue blood perfusion (laser Doppler
perfusion imaging - LDPI) (Nilsson et al., 2003).
LDF can be used in dermatology to assess the
degree of skin irritability in patch test procedures, in
pharmacology to study the microvascular effects of
vasoactive substances and drugs, in plastic surgery...
The technique also allows the study of the changes
in microvascular blood flux in diabetic patients, in
people with peripheral vascular diseases or
Raynaud’s phenomenon.
Differences in vascular anatomy and
physiological control, and differences in scattering
and absorbency properties, have mainly been studied
with LDPM signals in different tissues, such as
muscle, liver, and skin in general. However, no deep
studies have been conducted in order to know how
glabrous and non glabrous skin properties influence
LDF recordings. Moreover, to the best of our
knowledge, no spectral domain comparison of LDF
signals recorded in hand palm (glabrous skin) and
forearm (non glabrous skin) has been performed.
However, the physiology and skin thickness of these
two regions of interest are very different. How do
these differences impact LDF recordings? In order to
answer this question, we herein propose to compare
LDF signals recorded simultaneously in glabrous
and non glabrous zones of healthy subjects. This
comparison is performed through both temporal and
spectral analyses.
2 LASER DOPPLER
FLOWMETRY
As mentioned previously, in the last years, LDF has
drawn much attention for the monitoring of skin
perfusion. In LDF technique, a coherent light beam
is directed toward the tissue under study. There, it is
scattered by moving objects and by static tissue
structures. When light is scattered by a moving
particle, like a red blood cell, it is frequency shifted.
This shift depends on the velocity of the particle, the
direction of the incoming light and the direction of
the scattered light. On the contrary, light scattered
by static structures remains unshifted in
frequency (see for example Fredriksson et al., 2007).
Thus, when a photon encounters a particle moving
with a velocity
v
G
(m/s), and if
i
k
G
(rad/m)
describes
the propagation vector of the incoming photon, the
propagation vector of the photon after being
scattered,
s
k
G
, comes out as represented in Figure 1.
The angular Doppler frequency shift w (rad/s) is:
θ
α
λ
π
cos
2
sin
4
)(
=== vkkvvqw
t
si
G
G
G
G
G
(1)
where λ
t
represents the wavelength (m) of the photon
in the surrounding medium, α is the scattering angle
between
i
k
G
and
s
k
G
, and θ is the angle between the
projection of
v
G
in the plane of scattering
and
(
)
si
kk
G
G
vector. The difference between
i
k
G
and
s
k
G
is often denoted by the scattering vector
q
G
.
If the reflected mixed light (frequency shifted
and unshifted) by the skin is detected by a photode-
tector, optical mixing of light shifted and unshifted
Figure 1: Single scattering event between a photon and a
moving scatterer, in this case a red blood cell.
i
k
G
and
s
k
G
denote the incoming and scattered wave vectors, and α is
the angle between the two.
v
G
is the velocity vector of the
red blood cell.
q
G
is the difference between
i
k
G
and
s
k
G
. θ
is the angle between
q
G
and
v
G
.
BIOSIGNALS 2010 - International Conference on Bio-inspired Systems and Signal Processing
134
in frequency will result in a stochastic photocurrent.
The photocurrent consists of a static part and a
fluctuating part. The total signal can be described
with the autocorrelation function (ACF), which is
directly related to the power spectral density of the
signal. The autocorrelation obtained can be divided
into different terms of the origin of the current:
stationary (currents produced by the unshifted light),
heterodyne-mixing (produced by mixing of the
unshifted light and the shifted light) and homodyne-
mixing (produced by mixing of the shifted light by
red blood cells (RBCs) with different velocities).
Usually the homodyne part is disregarded, because
the measurements are made in low to moderate
blood volumes, where the heterodyne part dominates
over the homodyne part. The ACF of the heterodyne
part can be expressed as (see for example
Fredriksson
et al., 2007):
(
)
iqvtiqvt
eeICMBCACF
+=
2
(2)
where
I is the average of the current produced by the
unshifted light – DC current, CMBC is the
concentration of moving blood cells,
q is the
scattering vector and
v is the velocity. According to
the Wiener-Khintchine theorem, the Fourier
transform of the ACF is equal to the power spectral
density
P(w) of the input. Therefore, for the
heterodyne part we have (see for example
Fredriksson
et al., 2007):
()
dteeeICMBCwP
jwkiqvtiqvt
+=
2
)( (3)
where w is the angular frequency, k is the wave
number, v is the velocity of the RBC and q is the
scattering vector. The photocurrent power spectrum
is related to the properties of the blood cells in the
illuminated volume. By further derivation of this
expression it can be shown that the CMBC and the
perfusion (PERF) can be estimated from the power
spectrum. The CMBC is proportional to the integral
of the Doppler power spectrum density (see for
example Fredriksson et al., 2007):
=
0
)( dwwPCMBC
(4)
and the perfusion, in arbitrary units (a.u.) is
proportional to the integral of the frequency-
weighted Doppler power spectrum (see for example
Fredriksson et al., 2007):
=
0
)( dwwwPvCMBCPERF
(5)
where
v
is the mean speed of the blood cells (see
for example Fredriksson et al., 2007).
Currently, LDF does not give any absolute
measure of blood perfusion. In the clinical setting
this is a limiting factor and the reason why LDF
instruments are not routinely used in health care.
However, LDF has found its use in research.
The dynamics of the microcirculatory flow,
measured by LDF, consists of rhythmic oscillations.
The latter can be analysed using spectral techniques.
Thus, the spectral analysis of LDF signals revealed
six peaks within the range frequency from 0.005 Hz
to 2.0 Hz (see among others Stefanovska et al.,
1999). The peak in the interval from 0.6 Hz to
2.0 Hz is due to heart beats; the one between
0.145 Hz and 0.6 Hz is due to respiratory activity;
the one between 0.052 Hz and 0.145 Hz is the
intrinsic myogenic activity. The one from 0.021 Hz
to 0.052 Hz is due to the neurogenic activity caused
by the sympathetic system, whereas the one from
0.0095 Hz to 0.021 Hz is due to NO-dependent
endothelial activities. Finally, the one between
0.005 Hz and 0.0095 Hz is due to non NO-
dependent endothelial activities.
3 PHYSIOLOGICAL
DIFFERENCES BETWEEN
ARM (NON GLA-BROUS) AND
HAND (GLABROUS) SKIN
There are large differences between the
microcirculatory system in hands (glabrous skin)
and in arms (non glabrous skin). The main
difference is the high density of AVAs or shunts in
the glabrous skin (like fingers and toes, the nail
beds, the palm of the hands, the sole of the feet, and
the earlobe) that is not present in skin
elsewhere (Roustit et al., 2008). However, portion of
cardiac output passing through skin AVAs in
humans is not well known. Regarding the reflex
control of the skin blood flow, there are differences
when glabrous and non glabrous skin are compared:
non glabrous skin is mediated by both adrenergic
vasoconstrictor nerves and an active vasodilator
system, whereas glabrous skin is mediated by a
vasoconstrictor system only - the classic adrenergic
nervous system (Wilson et al., 2005).
COMPARISON BETWEEN LASER DOPPLER FLOWMETRY SIGNALS RECORDED IN GLABROUS AND NON
GLABROUS SKIN - Time and Frequency Analyses
135
Very few studies have compared LDF signals
from fingers and arms. A characteristic pattern of
large, spontaneous fluctuations in blood flow has
been described in human glabrous skin by several
authors (see for example Thoresen and Walloe,
1980). Some authors assumed that the fluctuations
are caused by synchronous opening and closing of
skin AVAs (Lossius et al., 1992). Skin AVAs are
densely innervated with sympathetic vasoconstrictor
fibres. There is also a connection between the
fluctuations in glabrous skin blood flow and the
spontaneous heart rate and blood pressure
variability (Lossius et al., 1992).
Moreover, measurements were made both on the
fingertip and in dorsal forearm skin by Freccero et
al. (2003) and it was concluded that local heating
increases superficial blood flow in fingertip and
forearm skin by different adjustment of blood cell
concentration and velocity (differences are of a
rather minor character). Roustit et al. (2008) studied
the lidocaine/prilocaine effect, a pharmacological
tool to inhibit the axon reflex, on finger pads and
forearms when they are submitted to a local heating.
They found that there is a smaller effect of
lidocaine/prilocaine cream on the finger pad. This is
due to a decreased anesthetic effect of topical
lidocaine/prilocaine on the finger pads. In another
study, conducted by Roustit et al. (2009), the sodium
nitroprusside (SNP) iontophoresis test, used to
assess the non endothelium-dependent
microvascular function of the finger pad, was
compared with SNP iontophoresis test on the
forearm, because most data available on SNP
iontophoresis concerns the skin of the forearm. In
the forearm there was an increase in cutaneous
vascular conductance but, on the finger pad, such
hyperemia was not consistent. They concluded that
standard protocols used for SNP iontophoresis
cannot be used on the finger pad as tools to assess
non-endothelium-dependent skin microvascular
dilation. Also, the thicker epidermis of the finger
pulp may present a barrier to the diffusion.
Furthermore, the effect of nerve blockade on
forearm and finger skin blood flow during body
heating and cooling was studied by Saumet et
al. (1992). They concluded that the active
vasodilator system plays an important role, as far as
the timing and the amplitude of the cutaneous
vasodilator response to whole body heating in the
forearm, but not in the finger. The vasoconstrictor
response to cooling occurred only in the finger.
Moreover, there were found differences in
vasodilator response in the two types of skin (Tucker
et al., 1998). The authors attributed these differences
to the higher baseline flow in the finger circulation.
Wilson et al. (2005) tested the hypothesis that,
independent of neural control, glabrous and non
glabrous cutaneous vasculature is capable of
autoregulating blood flow. In addition to neural
control, a number of local factors are capable of
modulating skin blood, for example, local alterations
in temperature and venous congestion or increased
transmural pressure. They found that glabrous skin
of the hand palm has the capability to autoregulate
blood flow in response to dynamic changes in blood
pressure. However, they noted less intrinsic
autoregulatory capabilities in non glabrous skin of
the forearm. Glabrous skin is capable of both static
and dynamic autoregulation while non glabrous skin
retains static with no dynamic autoregulatory
capabilities.
4 COMPARISON BETWEEN LDF
SIGNALS RECORDED IN
GLABROUS AND NON
GLABROUS SKIN
4.1 Measurement Procedure
In order to compare LDF signals from glabrous and
non glabrous skin, thirteen healthy subjects (between
21 and 44 years old) were studied. All were
informed of the measurement procedure and gave
their written informed consent. After at least 10 min
of acclimatization in the supine position, the
acquisitions started in a room at ambient
temperature. The flowmeter used was a Periflux
5000 (Perimed, Sweden) for which the time constant
was chosen equal to 0.2 s and the wavelength was
780 nm. Two signals were recorded simultaneously
in a.u.: one probe of the flowmeter was positioned in
the ventral face of the right forearm of the
subject (non glabrous skin), while the other probe
was positioned in the right hand palm (glabrous
skin). The two signals were recorded for at least
5 min with a sampling frequency of 20 Hz. In what
follows, 6000 samples of signals (5 min) are
processed. Two signals recorded simultaneously in
the forearm and in the hand are shown in Figure 2.
4.2 Signal Processing Analysis
In what follows, temporal and spectral analyses of
LDF signals recorded simultaneously in glabrous
and non glabrous skins are performed. For the
spectral study, the power spectrum is computed and
possible power-law properties are analyzed.
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0 50 100 150 200 250 300
0
50
100
150
200
25
0
Time (s)
Solid line: forearm; dotted line: hand
Figure 2: LDF signals recorded simultaneously in a
healthy subject. The red solid line (lower curve)
corresponds to the data recorded in the ventral face of the
forearm; the black line (upper curve) corresponds to the
data recorded in the hand palm.
Power-law relationship is observed when the
general shape of the power spectrum is a power-law
decreasing curve without eminent peak. In that case,
the power versus frequency relationship is:
()
β
ffPS ~
(6)
where PS is the power spectrum and f is the
frequency. In a log-log plot, Eq. 6 gives a straight
line with slope β. For such signals, data may be
regarded as a fractal: the corresponding time series
reveals self-similarity or scale-independence. Self-
similarity means that a feature has the same
characteristic value independent of the scale at
which the signal is explored. When the time scale is
changed by a factor m, the statistical distribution
remains unchanged by the factor m
H
, where H is
called the Hurst scaling exponent. The latter scale-
independence represents the irregularity of the time
series. Fractal methods are amongst those used to
show long-range correlations.
In what follows, in order to focus on the
oscillations of the data, the mean of each signal was
subtracted and the result was divided by the standard
deviation of the original signal before the
computation of the power spectrum.
4.3 Results
From our recordings and results, we first note that
the mean amplitude of LDF signals recorded in the
hand palms is generally higher than the one
observed when the recordings are performed in the
ventral face of the forearms. The latter conclusion
has already been mentioned by other authors (see for
example Freccero et al., 2003). Furthermore, from
the temporal domain analysis, we observe that the
10
-2
10
-1
10
0
10
1
10
-12
10
-10
10
-8
10
-6
10
-4
10
-2
10
0
10
2
Frequency (Hz)
Power spectrum
Figure 3: Power spectra of LDF signals recorded in a
healthy subject. The red solid curve corresponds to the
power spectrum of the LDF signal recorded in the ventral
face of the forearm; the black dotted line corresponds to
the power spectrum of the LDF signal recorded in the
hand palm.
amplitude variations of LDF signals recorded in the
hands are much higher than in the forearms. Thus, in
average, for the 13 subjects, the amplitude variations
for the hand were 69.5 a.u., whereas they were
13.5 a.u. for the forearm.
An example of power spectrum versus frequency
in logarithmic scales is shown in Figure 3. From all
our power spectrum plots, we observe a clear peak
around 1 Hz for both the hand and the forearm. This
peak is at exactly the same frequency for the signals
recorded simultaneously. This peak is therefore
probably of central origin and probably corresponds
to the heart beat. Furthermore, another peak is
visible around 0.3 Hz, at exactly the same frequency
for the two signals recorded simultaneously. This
peak may be due to the respiration of the subject.
The power spectrum plots also show three
regions, with different slopes. The changes in slopes
occur around 1 Hz and 5 Hz. This is in accordance
with the work of Popivanov et al. (1999). Our results
show that cutaneous LDF signals may exhibit scale-
independence. This has already been predicted by
other authors (see for example Popivanov et al.,
1999). However, the slopes for these three regions
are different for hands and forearms (see an example
in Figure 3). From our knowledge, no comparison
between glabrous and non glabrous skin has already
been published.
Such power spectrum studies have already been
performed on central cardiovascular data (heart rate
variability) and they led to the same conclusion (see
for example Ivanov et al., 2001 and its references).
COMPARISON BETWEEN LASER DOPPLER FLOWMETRY SIGNALS RECORDED IN GLABROUS AND NON
GLABROUS SKIN - Time and Frequency Analyses
137
5 CONCLUSIONS
This study shows that the fluctuations of cutaneous
blood flow (cutaneous LDF signals) recorded in
healthy human subjects are different in
hand (glabrous skin) and forearm (non glabrous
skin). These differences are observed in both the
temporal and the spectral domains. Thus, the mean
amplitude of LDF signals recorded in the hand is
generally higher than in the forearm, and the
fluctuations observed in the hand are much higher
than the ones in the forearm. Furthermore, our work
shows that the power spectrum of LDF signals
recorded in hand and forearm of healthy subjects
may be different. They both may possess
characteristics of fractal processes, but these
characteristics are different for the two analyzed
anatomical sites.
In this paper, a monofractal study has been
performed through the power spectral density
analysis. A multifractal analysis could also be
carried out. Multifractal time series are
heterogeneous, self-similar only in local ranges of
the structure and their fractal measure does vary in
time; hence, they can be characterized by a set of
local fractal measures. Some papers have recently
been published on this field of interest for LDF
data (see for example Humeau et al., 2009; Humeau
et al., 2008).
ACKNOWLEDGEMENTS
The authors thank the “Instituto de Investigação
Interdisciplinar (III)” of the University of Coimbra,
“Acções Universitárias Integradas Luso–Francesas”
(PAUILF) programme and “Fundação para a
Ciência e a Tecnologia (FCT), Lisbon”, for
supporting this work.
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