LASER DOPPLER SPECTROSCOPY METHOD IN RESEARCHES OF BLOOD HYDRODYNAMICS

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LASER DOPPLER SPECTROSCOPY METHOD IN RESEARCHES OF BLOOD HYDRODYNAMICS

N. Tankovich, A. Stepanyan, U. Denisov

To cite this version:

N. Tankovich, A. Stepanyan, U. Denisov. LASER DOPPLER SPECTROSCOPY METHOD IN

RESEARCHES OF BLOOD HYDRODYNAMICS. Journal de Physique Colloques, 1987, 48 (C7),

pp.C7-287-C7-293. �10.1051/jphyscol:1987764�. �jpa-00227067�

JOURNAL DE PHYSIQUE

Colloque C7, supplement au n012, Tome 48, dbcembre 1987

LASER DOPPLER SPECTROSCOPY METHOD IN RESEARCHES OF BLOOD HYDRODYNAMICS

N.I. TANKOVICH, A.S. STEPANYAN and U.A. DENISOV

I.V. Kurchatov Institute of Atomic Energy. Moscow, USSR

Tne studying of rheologic properties of blood is notvadays an actual task from medical point of view. It is known that most diseases,like,for example,coronary ischaemia,myocardial infarc- tion,renal insufficiency,diabetes and others,as well as employ- ment of artificial blood substitutors are followed by the chan- ges of these properties(1). We have found a relation between pathology of blood vessel walls and hydrodynamic flow conditions (293).

The purpose of this work was to analyse possibilities of re- searches of blood rheology with laser Dop~ler spectrometer(L~~).

This method is based on measurement of magnitude of I)op?ler shkft of frequency of laser irradiation dispersed by particles that are moving along with the liauid(in this case

-

by erythro- cytes). The experiimectal diagram is shown on fig.I(4).

Xe-Me laser irradiation(I),reflected by the 1ilirr-(2) falled on semitransparent mirroz(3). On this mirrot laser beam was di- vided into two beams of equal intensity. Both beams,

be in^

re- flected from 10%-mirrots(4), passed through telescopes( 51, that magnified the diameter of pencil of beams and lens(6),focusing these beams into one point inside of the capillary tube(7).

The characteristic size of measuring volume created due to laser beams intersection behind lenses(6), was about

30

mkm.

The irradiation dispersed from the measuring volume was fo- cused on photoelectronic multiplier pris~(FiiP) ( 9 ) with employ- ment of objective lens-receiver(8). The signal from ELP came to spectrum analyser(IO),from which information about the mag- nitude of Dopaler shift was received.

The measurement accuracy vias determined by finite diriiensions of the measuring volume,which led to the broaderiing of Doppler spectrum. In our case we could ignore the flight-tine broaden- ing compared crith that of the gradient in heparinized capillary tubes with the inr.er diameter lessthan 500 mkm.

Article published online by EDP Sciences and available at http://dx.doi.org/10.1051/jphyscol:1987764

C7-288 JOURNAL DE PHYSIQUE

The s c a n ~ i n g w i t h n e a s u r i n g volv-r!.~ alori, ti;e c a ? i l l a r y t u b e d i a n e t e r was a t e c h n i q u e u s e d t o n e a s G r e t h e blood v e l o c i t y Fro- f i l e V ( r ) i r t h e narrow g l a s s c a 2 i l l a r y tube.

The f olloigiirL,.; f ora.v.1~ was u s e d f o r t h e e p p r o x i l r a t i o r , O? e;.- p e r i m e n t a l p o i n t s :

where

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na:rimurn l i q u i S : f l o w v e l o c i t y i n c a 3 i l l a r y t u b e s ,

R -

c a p i l l a r y t u b e r a d i u s .

The f o r m u l a comes from t h e a n a l y s i s of N a v i e r - S t o k e s ' equa- t i o n and Shvedov-Bengame's model f o r ?he a x i a l - s i n m e t r i c f l o w . F o r Newton's l i q u i d s t h e exponent "xn i s 2.

The v e l o c i t y p r o f i l e s of w a t e r f l o w w i t h p o l y s t i r o l e l a t e x , r h e o , ~ o l y g l u c i n m - w i t h p o l y s t i r o l e l a t e x and d o d a r ' s b l o o d d i - l u t e d w i t h p h y s i o l o g i c a l s o l u t i o n were measured i n t k e c a 2 i l l a r y t u b e s of 400 t o 700 mla~ d i a r i e t e r . The ? o l y s t i r o l e l a t e x was

always added t o c r e a t e d i s p e r s i o n w i t h i t s p a r t i c l e s and i t d i d ~ ' 2 c a u s e any i n f l u e n c e u?on t n e r h e o l o g y of l i q u i d .

The r e s u l t s o f e x p e r i z e n t s a r e shown on t h e diagrams,where t i e a b s c i s s i s r - c o o r d i n a t e ( i n r e l . u n . ) and t h e o r d i n a t e i s a measured v e l o c i t y v a l u e .

During t h e f i r s t experiment w a t e r ? c p o l y s t i r o l e l a t e x f l o w p r o f i l e was measured i n t h e c a p i l l a r y t u b e o f = 660 mlaq.

Pig.2 shows t h e V ( r ) dependence. T h e a p p r o x i m a t i n g c u r v e expo- n e n t x d . 8 due t o t h e a s i m n e t r i c g r a d i e n t b r o a d e n i n g o f D o ~ ? l e r s p e c t r u r . The diagram shows a good c o i n c i d e n c e o f e x p e r i m e n t a l p o i n t s w i t h t h e a p n - o x i m a t i n g curve.

Durin, t h e second experiment t n e v e l o c i t y p r o f i l e o f non- -Newton l i q u i d

-

r h e o ~ o l y g l u c i n u n

-

vias measured. The diagram w i t h V ( r ) dependence i s shown on f i g . 3 . I t ' s e v i d e n t t h a t rheo-

p o l y g l u c i n u n f l o w v e l o c i t y p r o f i l e i s c o n s i d e r a b l y d i f E e r e n t t o t h a t o f t a e w a t e r f l o w v e l o c i t y . The a p p r o x i m a t i n e c u r v e exgonent x = I . 4.

During f u r t h e r e x p e r i m e c t we measured t l i e v e l o c i t y p r o f i l e of d o n o r ' s blood f l o w d i l u t e d w i t h g h y s i o l o ~ i c a l s o l u t i o n u p t o Ht=5$. Pig.4 shows t h a t blood d i f f e r s c o n s i d e r a b l y from t i l e Newton l i q u i d . Be rfiey a l s o n o t i c e a good c o i n c i d e n c e of e x p e r i - m e n t a l p o i n t s w i t h t h e aparo::imatinc c u r v e , which exoonent ~ ~ 2 . 0 ,

Tiie a l s o c a r r i e d o u t measurements o f b l o o d v e l o c i t y p r o f i l e s u p t o Ht=I5%, and i t shovted t h a t t h e a p p r o x i m a t i n g c u r v e exponent

"xu i n c r e a s e d w i t h t h e i n c r e a s i n g of h a e m a t o c r y t i s . The f u r t h e r i n c r e a s i n g l e d t o some s e r i o u s d i f f i c u l t i e s provoked by m u l t i p l e d i s p e r s i o n .

A s a whole t h e work h a s shown t h a t t h e LDS-method i s a per- s p e c t i v e one for t h e r e s e a r c h e s o f r h e o l o g i c p r o p e r t i e s o f b l o o d b o t h b e i n g norinal and p a t h o l o g i c .

R e f e r e n c e s

I. V.A.Levtov,S.A.Regirer,IL.H.Shadrina. Fneolo?;y of blood,K, t t e d i t s i n a , 1982.

2. T. Pedly. ITydrodynArnics of l a r g e blood v e s s e l s , B , 1983.

3. U.l!.Romanovsky, M.V.Stepanova,D.S.Chernavsky. t i a t h e m a t i c a l b i o p h y s i c s , E . , 1984, p.304 4, V.N.Glonthy,U,A.Denisov,A.V.Priyezhev.

L a s e r methods of measurement o f b i o l o g i c a l l i q u i d s f l o w v e l o c i - t i e s i n narrow c a p i l l a r i e s . I n book: E a t e r - i a l s of c o n f e r e n c e

" L a s e r s i n n a t i o n a l econoi;ly~.I~l. 1986, p. 59-53.

JOURNAL DE PHYSIQUE

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