Pediatr. Res. 14: 1047-1052(1980) arterial oxygen content choroidal blood flow fetus neonate r e t i n a l b l o o d flow Retinal and Choroidal Blood Flow in Unstressed Fetal and Neonatal Lambs .I he relatiomhip between retinal hlood flow ( R u b ) and choroidal hlood flow (C'hBE) and the o\>gen content o f arterial hlood wa\ ir~te\tigated i n 12 fetal lanil)\. ? h e p w t n a t a l change4 i n t h e w flow\ were 4tudied i n twel\e newhorn lanib\. RBI. arid C'hBI. \rere dcternlined h j mean\ o f radioactite niicro\phere\ 3 to 10 d a j \ arter iniplantation o f the injection and \arnpling catheter\. beta1 hlood flow\ were meawred at different le\cl\ ofo\jgenation. 1 he po\tnatal flow\ were nlea\ured while the lanlh hreathed roorn air. 'I he fetal data wggest an interse relation\hip between RBI. and ;~rterialo l j g e n content. < oncornitant change\ i n fetal < hHE wcre unrelated to arterial o\?gen content. B e c a ~ ~ \ocf the i n t e r w relation4hip between RBI. and arterial o \ j g c n content. the product of R B Y and arterial o\?gen content wa\ independent o f the \tatc of fetal 01)genation. HHE did not change with birth, ~ h e r e a C \ hBI. increawd. Ihere ma\ no change i n R B F with po\tnatal age wherea4 C'hBI. decreawd significantl! with increasing age. Speculation A reduced vascular resistance i n the ininlature choroid might he an important predispo4ing factor i n the detelopnlent o f retrolental fihroplaoia i n preterni hahies treated with high environniental ox?gen. There has been considerable I n t e r c t i n the rcgulat~onof retinal and choroidal blood Ilow as a result o f the association ol'oxhgen t o x ~ c i t yand retrolental f i b r o p l a ~ ;(9). ~ I l o l l e r y 1.1 111. ( 6J proposed a model by which excessive constriction ol' immature retinal vesaelb might he produced hy an increase i n tissue 1'0:. I n their study, however, ;I number of assurnpt~unsmade about the retinal and choroidal circulations were derived from acute experiments i n anesthetixd animals i n which physiologic reactance ( 18) niight have altered retinal and choroidal physiology. The goal o f the present study was to describe the relationships observed under chronic experimental conditions between the Ikt;il retinal and clitirt)~J;iIh l t i t ~ fll t > \ s \ ;in<! o\vgcn c.ontcnf\ ci\.c.r ;I ir,idc r:lngc ;ind changes i n these Ilows w i t h postn;~talage. Twelve pregnant eNea ol' mised western breed at 130 to 145 days o f gestation and I 2 newborn lambs i n the lirst 5 months alter b i r t h were studied. Surgery was perfi)rnied under pentobarbital sedation (5 nig/kg) and. I n the ewes. illso spinal anesthes~a( 8 nig tetracaine hydrochloride). As described previously for k t a l lambs (12). polyvinyl chloride catheters (11). 0.9 mni. OD. 1.2 m m ) were inserted into a transverse .scapular artery, a pedal vein, both pedal arteries. and the amniotic sac. I n newborn lambs, the catheters were inserted into a tranbverse scapular artery. the l e f ventricle. and a femoral artery. The ends o f the catheters i n both k t a l and newborn lanibs were exter~orl/ed\ l a ;I SC' tunnel and stored ~n a pouch o n the flank of the ewes and the newborn lambs. respectively. Studies were carried out between the third and 10th poatoper;itlLe day. I n eiich ;inirnal. three sets (11' l l t ) ~measurements were perlijrmed by means of the microsphere technique (3. 11. 14) ;it dill'ercnt levels o f lktal oxygen;itic)n. Microspheres c)f 15 / ~ n di l ameter ( 3 M ('o.. St. Paul. MN) labeled with e ~ t h c r"C'r. '"C'e. or -, Sr were used. ('hanges i n f'etal oxygenation were induced b> expos~ngthe ewe to ~ a r y i n gconcentr:itionx o f oxygen ( I 0 to 100'; ). The dillkrent gas mixtures werc delivered i n r;indoni order at high llow rates i n t o a large plastic bag that completely enclowd the head o f the ewe. T o attain stead.-state cond~tionai n fktal oxygenation and cardiovascular I'unction at each gas nilsture. ;I niininium 01'30 nun was allowed li)r cqu~libr;ititrn. Fetal arterial blood prehsure (1-BP; torr) delined I n this study as the dil'krencc i n mean pressure between the k t a l abdominal aorta and the a m n ~ u t i csac, and lktal heart rate ( I ' H K : beats/niin) bere nionitored throughout the c.sperin~ent.Blood Ilow n1e;isuremcnts here performed when stable I'BP and 1.HR had been recorded for at least 20 m i n . A t the time ol'each flow nieasurement. blood samples were collected from each o f t h e arterial catheters Ibr measurements o f p l l . PC'02. PO2 (;it 3t).50<' by rnciins 01' K;idiorneter HMS3 M K Z ) . 0, content. ( b y means o f the Lex-0,-con). and hernatocr~t (microcapillary technique). Return to pre-experimentul values 01' both f'HR and I'BP always occurred af'ter completron of' the experiments. The ewe was then sacriliced. and the l i t u s was delivered by cesarlan hection. ('iitheter positions were checked at autopsy. A l l fetal organs were d~saectedas der,cribed previously ( 14). The eyes wcre enucleated. and separate samples o f c h o r o i d and retina werc obtained by n;iy t)fttic diswction procedure described by A l m and B i l l ( I ) . The tissue samples were dried k>r 24 hr at 80°C'. weighed. and -{-radiation w i t s determined w ~ t ha gamma counter (Nuclear Chicago three-channel autogamma). I n three k t a l lambs drq welght/wet weight ratios wcre determined for both t~h\uc.I.'~>Iboth !i\\uc\ tlic d r y weight/we~ rcli11;il a n d cht\r<~icI:~l weight ratlo was -0.20. i n agreement w ~ t hobwrvations reported rn the literature ( I J. 1-or the 110%calcul;itions. i t was assumed (hilt a dry wcight/wet weight r;itio o f -0.20 applied to r e t ~ n a land chc)roldal t~ssuc throughout the perinatal period studied. Blood Ilow to both retina and choroid was calcul;ited according to the Ibllowing equation: . TBI' = ('PM,. X ts. I ) r W C'PM, x 0.20 x I,',, where T B I : = tissue blood Ilow (ml.rnin ' . I00 g I ) . ('I'M,. = total cpm I n the tlhsuc sample. ('I'M, = cpm i n the .~rteriul reference sample. 1s. I ) r W = dry weight ol'the tissue sanlplc. and F,, = the sampling rate o f t h e withdrawal pump (1.28 rnl.niin ' in each experiment). ('alculatrons showed that the retinal samples always contained z2OO microspheres of a part~cularlabel whereas arterial reference samples and choroidal samples always contained 2 8 0 0 microspheres. T h e relatively large variability ~n retinal blood flow was due. in part. to the low number of spheres in the retinal tissue samples (3). T h e injection of a higher total dose of microspheres would have reduced this variability. at the expense. however. of more lnterlrence with fetal phystology (2. 19). u The newborn lambs were studied between the second and fifth postoperative days. T h e ~ rpostnatal age at the day ofexperimentation ranged between 2 and 226 days. In most instances. flow measurements were made with the newborn lamb sittrng quietly in a large cardboard box breathing room air. To reduce potentially d~sturbingfactors such as excessive light or noise. the cover of the box was loosely closed. and the ends of the three catheters were brought o u t s ~ d ethrough a hole in the top of the box. Blood flow measurements were perf'c~rniedas descrrhed fix fetal lambs. At the time of each flow measurement, the arterial blood pressure (torr) was measured as the dilf'erence in height between the fluid level in the transverse scapular arterial catheter and the xiphoid process. After the third microsphere Injection, the newborn lambs were sacrificed, and tissue was processed as described for the fetal lambs. For fetal lambs. the relationship between blood flow and oxygen content in the ascending aorta ( [02].,:m M ) for both retina and choroid was analyzed as follows. In general. three blood flow values were obtained from each animal. A mathematical model was chosen l i ~ rthe descr~ptionof the flow-oxygen relationships for the retina and choroid which allowed each animal to have its own "animal ell'ect" whereas the empirical equation was identical ti)r each of the twelve animals studied. A major advantage of this approach over an analysis based on pooled data is that the elftct of oxygen on organ llow can be a n a l y ~ e d .whereas possible e t k c t s c>1' dit.1'crcnccs between aninials. part~cularly those due tc) sjbtematic experimental error. are filtered out. T h e flow-oxygen relation Ibr both the retina and the choroid could be described by the general equation: y,, = p + ( I , + /jf(y. x,,) + el, (2) where y , , = flow measurement in the j"' experiment on the i"' a n i m a l r p = a constant, identical Sor all animals: i t , = additive "animal correction factor" due to the i"' animal. (Correction factor i t was determined in such a way that the sum o f t h e twelve values for c t equaled r.ero); /j. y = regression coefficients, assumed to be the same lijr all animals: x,, = value of [OL],,in the j"' experiment on the i'" animal: f(y, x,,) = transli~rmof x,, and y (tp.g..ti?. x , , ) = e"'l . etc.): g,, = error term with expectation of zero and standard deviation proportional to the expectation of y,,. T h e mathernathical elahc)rat~onassociatcJ with the analysis descr~bedabove is given in detail in the appendix to this report and is termed "weighted least-squares method" in the remainder this publication. 'l'hc flon data and concomitant iirter~alpariirneters in the twelve fetal lambs used ln this study are I~stedrn Table 1 . For reasons rnentroned elsewhere ( 13). 0, content rather than 1'0: was used as index tilr oxygenation in the flow-oxygen relationsh~psstudied. T h e relationship between R B F and [ a ] , ,is presented in l'igurc I . Hy the weighted least-squares method, a number of mathematical I 2 3 4 5 6 o x y g e n c o n t e n t a s c e n d ~ n qa o r t a I mM I 1 heturrn ktal RBI.' and 10.1..I n the ascrnd~ng 1.1p I Krlat~onsh~p aorta. I'hr !low Jiita c>t' d~l'l'rrrntan~malsare represented b!, 12 d~llrrent \ynibols. I.rtlr 1s calculated uslng the rrc~procirlfunction f;>r an a n ~ n i a l with a n ~ n ~eI' a 1l 'rc.t i t = 0 (see text). functions were evaluated as to their adequacy to describe the R B F - [ a ] , , relation. T h e results s u m m a r i ~ e din Table 2 suggest that some nonlinear functlon describes that relationship best. However, no clear discrimination could be obtained between the three nonlinear functions tested. In other fetal neural structures such as cerebrum, brain stem, and cerebelluni. i t has been denionstrated that the flow-oxygen relation was best described by a reciprocal function (15). Therelijre. it was assunied that a reciprocal function might best describe the flow-oxygen relation for the fetal retina. Consequently the following equation was selected: RBF = + / I '/[02Ji, + i t (3) By the weighted least-squares method. the parameters in equation 3 were calculated: RBF = -55 + IYXI/[OJ];, + i t (4) In this a n d all subsequent equations. blood llow IS in ml.min ' . 100 g '. The additive animal effect ( I ranged from 0 to +233. According t o the weighted Icaat-\quare\ rncthcrd. ;~pprt~x~rncltcly X2'; o f t h e ~ntra-animalvariability in R B F could be explained by changes in 1 / [ 0 2 ] . , . Equation 4 can also be expressed as follows: The equation expresses the relationship between the flow of 0 : to the fetal retina moles. rnin I . I00 g ' ) and the 10, I.,. We were not able to demonstrate a significant correlation between the flow of oxygen to the fetal retina and the level of fetal oxygenation (sign test. I' > 0 . I ). The relationsh~pbetween choroidal hlood flow (C'hBF:) in ml. rnin I . 100 g I ) and [O,],, is presented in Figure 2. Analysis of this relationship by the weighted least-squares method indicated that fetal choro~dalhlood flow (C'hBF) and [O,]., were not correlated. C h B F ranged from 900 to 3700 nil.min I . 100 g '. with a niean lijr all fetal data points combined of I620 ml. rnin ' . 100 g ' ( 5 1 2 7 S.E.). N l W H O K N S'I'1II)Y The flow data and concomitant arterial parameters ~n the 12 newborn lambs htudied are listed in Table 3. lnasniuch as the level of oxygenation was not altered in newborn lambs. no mathematic function could be constructed for the K B F - [ a ] . , relationship. I t is noteworthy. however. that the neonatal data seem to extend the trend shown by the k t a l data polnts in the higher [&I., range (Fig. 3). ChBI.' was slightly higher ~n newborn lambs than in fetuses. T h e values for C'hBF ranged from 1550 to 3966 ml. rnin '. I00 g ' w ~ t ha mean ol.2700 rnl. min I . 100 ' ( kI60 S.E.).Coniparison of the mean ('hBF before and after birth indicated that this value KL.1 INAL ANI) ( IIOKOII) \ I I040 131 0 0 1 ) I 1.OW I':tble I . Rerrtlnl cinrl c~horoidulh1ood.flow.c. ~ i r hrhe cot~c~ot~~irrin/ v ~ l l t rf o. ~r FHP, as ,cell us PO?. PCO., pH. and /OL]:, in the uscending uorra oj'rhe /-7/i~rullutnhs Lxperlnient no. Identlf-ing sqmbol KBF (ml. min ' lw&' ) C'hRl: (ml. min ' I N &I ) I.BP (torr) I - 7 I XO 137 117 I 15 141 I00 I I6 161 I 50 64 89 62 258 374 334 174 234 148 X5 96 179 64 64 233 62 73 Ih2 78 141 1312 1042 2930 2249 1495 1551 2036 3676 2204 1550 I897 1354 93 I 927 1330 141 1 1596 1338 1649 1721 1797 1725 2215 I065 9 19 l 666 1215 1049 1173 1244 14 18 3 760 1725 7 X0 3 303 7141 255 1 1 ( ) 3 I 2 3 I (J .7. 3 I V 2 3 I - n 7 3 I A 7 3 I - A 7 3 I 2 3 I 2 3 I + * .. 0 7 3 I rn 37 45 I 1.1 46 4X 47 37 36 3X 45 49 47 35 42 34 29 78 32 2X 30 41 36 36 42 40 43 5I 50 52 70 [C):It4 . (mM) ~- 4.06 5.58 4.02 2.50 3.30 3.08 1.61 1.07 3.21 3.61 1.75 3 08 3.17 2.1 I 3 21 2.77 2. I4 2.10 2.98 I .26 2.56 4. I9 4 24 1 73 5.03 4.59 1.45 4.60 3.80 1.41 4.64 PO, (torr) I'C'O. (torr) 23 36 23 IX 21 71 IX 14 26 23 I6 3X 44 39 47 47 48 42 40 43 42 35 38 44 42 46 47 44 41 4X 39 47 45 ~~ @!L I XO 25 2I 29 21 17 IX 22 I6 20 27 2X I6 2X 27 IX 75 27 I5 75 14 41 3X 30 26 49 46 41 54 4X 7.44 7.38 7.44 7.36 7.37 7.36 7.34 7.24 7.30 7.37 7.33 7.38 7.38 7.36 7.37 7.35 7.32 7.37 7.34 7.21 7.34 7.36 7.3 1 7.33 7.45 7.46 7.73 7.38 7.35 7 35 7.32 7 32 I .7 I 6 62 5.84 1.34 I2 30 75 13 3X 47 42 35 7.26 7.27 7.42 7.25 -- 73 50 i t ~ ~ ~ ~ i o t ~ .rhc~ir ~ (irk'qti(~(:), it1 T a b l e 7. M a r h c ~ t ~ t i ~ r i c ~ u l ~ / ic~r~ciltirrrc~d,Ji)r dcscrihitlg rhr R BF o \-,,Ken relariot1 Mathenii~t~cal funct~on Lniplrlc eguatic~n ti\) = I [ +/I.\ I-lnear l u n c t ~ o n I ( \ ) = 11 + / I . ' / \ K c c ~ p r ~ ~ l.i~nctlc~ri cal I.ognr~tlinilct.ilnct~on t i \ ) = !I + /].In x L:.cponent~al I ' u n c t ~ ~ ~ nI ( \ ) = + /i.e ' Lstlrnate I;lr percentage e r r( ) 2 I ,I) I9 0 IS 3 18.0 - - -- 1)egrers of freedom -17 -77 -17- 71 w a s significantly h i g h e r In n e w b o r n l a m b s ( S t u d e n t r test: P < ). .1'11c f ~ c ~ h t r ~ ; t l .tt l~ c r ~ 111dl?l<)<~d Il~>tv1,) ~ I > I I rclirl:~ I i ~ n dcl>,>rt~id . I ( F i g . 4 ) w a s e v a l u a t e d a s l i ~ l l o w s .T h e m e a n v a l u e f o r R B F a n d 4 5 6 1 2 3 o x y g e n content d s c e n d n q a o r t a I TIM C'hHf- w a s c a l c u l a t e d f o r e a c h n e w b o r n l a m b . T h e S p e a r m a n ('orrelation coelficient ( 10) d e t e r m i n e d f o r t h e r e l a t i o n s h l p beI : I ~ 2. Kelarl~~nslilp hetween ('IiRI- itnd (O.I.,In the itscend~ngaorta. t w e e n t h e s e m e a n v a l u e s f o r K B t ; a n d C'hBF. w i t h a g e . w e r e 1 . 1 0 ~ data Iron1 d~l'l'erentk t u w s were ~ d e n t ~ l i eh) d ublng the same I? 0.17 ( d f = 9: P > 0. I ) a n d -0.62 (dl'= 10: P C 0.05).respectively. hqrnbc~lsas In I.lgure I . i n d i c a t i n g n o r e l a t i o n s h t p b e t w e e n K B F a n d a g e , a n d a signtlic a n t l y d e c r e a s i n g C'hBf: w i t h p o s t n a t a l a g e . 0.01 + T h e c u r v i l i n e a r r e l a t i o n s h i p b e t w e e n k r a l K B F a n d [O;],, s e e m e d 10 b e d e s c r i b e d hest by a rcciproc;~l f u n c t i o n . S u c h a r e l a t i o n s h l p w o u l d n o t b e s u r p r i s i n g b e c a u s e in t h e s a m e g r o u p of animalh. t h e r e l a t i o n s h i p b e t w e e n flow a n d o x y g e n in v a r i o u s o t h e r c e n t r a l n e r b o u s s y s t e m tissues w a s a l s o best d e s c r i b e d b y s u c h s lilnction ( IS). T h i s similarity in l l o w r e s p o n s e t o c h a n g i n g levels o f [ 0 2 ] . , in b o t h fetal retina a n d c e n t r a l n e r v o u s s y s t e m suggests t h a t it s i m i l a r mec.hanisni regulates llow t o b o t h tissues w h e n t h e [O,],, 1s altered. I n t h e present s t u d y . X2"; o f t h e intra; i n i n ~ ; ~variability l in R B F c o u l d b e e x p l a i n e d b y 1/[0.].,. T h e Table 3. Rrrinul u r ~ dchoroidul hlood.florc,.s )c,irh rhc c~onc~onlirut~t i~ulue.s/oraxe, st~.crc~t,~ic, BP. PO,. PC'O., pll, atul /0./.,it, rile m,sc.c~t~dirlg rt~ onrru of rhr 12 t ~ e ~ , h o1unlh.s An~nial Postnatal age (dayh) Exper~nientno. I 7 1 7 5 5 I 1 IY I I 7 5 65 65 I(H) 5 1(WJ 7 5 I(M) 3 h h h 7 7 7 X X Y Y 148 148 148 75 75 75 149 149 149 226 ZZh 10 13 I0 II 13 4 4 II 12 4 5 7 3 4 4 X II Mean >ystem~c I I -7 3 I 7 3 I 7 3 1 3 2 3 I 7 3 I (rill KBI nlln ' lo() g C'hHl: HI' ' (torr) 1'0, lJ( '0: (ntM) (torr) (rorr) 296 l 4 24 71 43 7 74 Xh YO 3966 3Y2Y 5.18 4.5' h i 63 37 36 7 42 7 41 YX 53 hY S3 104 89 2613 2x39 2033 28x4 2303 2930 5.27 h 52 6.65 6.34 hh 6.70 70 6') 67 hi 62 68 37 3h 36 35 35 35 7.41 7 40 7.4 l 7 47 7.44 7.43 75 40 57 hl 52 77 5X 62 YO 45 71 IY2 0 1985 1550 3247 295 I 2x67 2733 247 2h5X 2195 2619 6.42 h 70 6.88 8.04 7 h3 7 XI 6.99 6.XO 6.6 l h 63 h 33 72 73 73 64 65 hY 73 74 74 71 7X 37 3X 37 34 35 34 33 31 33 35 29 7.40 7 39 7 39 7 37 7.4 1 7 47 7 30 7 41 7 40 7 42 7 40 49 32 3h 40 3151 249s 1130 383'4 75 XI) h 67 0.7 I hl hh 7 12 6.99 hS 67 4I 37 40 37 7.40 7 39 7 34 7 33 4I SO 3924 2634 6.72 h 74 h7 h i 37 42 7 34 7.30 ') ( m l , min I(NI g ' 1 1 0 2 1 \OX Y9 lo4 YO 85 X5 101 X5 , (14 -!p! - - Fig. 3 Kelatlonsh~pof the ascend~ngaorta k t a )l . ( and neonatal ( ) KHI- w~th10!1,, ~n close relationship between K B f ' and l/[O,j],,indicate!, that the maintenance of oxygen delivery to the retlna by way o f t h e retinal vessels is carefully controlled over a wide range of oxygenation. However. it should be e m p h a s i ~ e dthat the microsphere technique as used in this study did not permit assessment of regional tlows and oxygen delivery to various areas o f t h e retina. Rather. to have sufficient tissue (and therefore adequate numbers of mrcrospheres) for quantitation. the ret~nalflow as a whole was studied. I t 13 possible that the reciprocal relationsh~pbetween KBF and 0: content described for the retina as a whole. may not he true fix a selected area (1.e.. the periphery). To our knowledge. R B F In the fetus has not previously been measured. In adults. it is generally accepted that the arterial PO: is an rmportant flow-regulating factor in the retina ( 6 8 ) .However. i t is still obscure whether R B F correlates better with 02-content or with PO2 in the .supplying artery. In the present btudy. both [OJ].,and Pa@ were altered simultaneously. Thus. i t was Impossible to determine if one of the two ~ndices for oxygenation correlated with fetal R B F better than the other. Jones cr al. ( 10) lound that cerebral blood flow in the fetal lamb correlated better b '" 2 , 2') JC, q' ; (.I sost natat age 3.7il ai', 1.1g 4. Keldt~~in\li~p o f ( hHI ( I .ind K H I u ~ t hpo\tnatdl age 1-he decredzed \~gn~licantl) u11h po\rna~~11 age C'hBI with [O.]., than w ~ t hP a 0 2 . [ 0 , ] . , is of fundamental Importance to the organism. ('ain ( 4 ) found that under circumstances of extreme oxygen deprivation ln the adult, whole-body 0, uptake was determined by [021., rather than P a 0 2 . Although there is no such inli)rn~ationiivallable for the retina. it is pos.sible that RBI-' Further ~nvest~gations arc responds directly t i ) changes In [02].,. required. The range of (O.]., and PaO, in the newborn lambs was too zniall to pernut conclusions about the f l o w - a relatton\h~psin the retinal circulation of the newborn. In the case of both [ O , ] , ;ind I'a02. however. the neonatal d a t ; ~points appear to Ibllow the trend established by the fetal Ilow-0. relationships in the higher ranges 01' [O,],, and PaO. ( F ~ g b 3. and 5 ) . Further enperrrnents covering a wider range of [O,], levels in the neonate are needed 2 I) .2#7 P , di h( rrmd nq dart a 8 HO tnrr r to determine whether the flow-0, relatlonshlp is the same durlng the fetal and newborn periods. I t has been demonstrated that blood How In the adult retina changes markedly with variations in arterial f'<'O: (Pa('*) ( I . 17). In the present study. the range of PaC'O., In both lkti11 and neonatal I a m b was too small to permil ;I conclusion about the presence of this relationship in these lilk phases. Although Ictal C'hBI: was not correlated wrth (031.,. home interesting phenomena were observed in the pcrinatal period. First. the hlood flow to the chorold was xignilicantly higher alier birth. Inasmuch as the blood pressure is higher in the newborn ( 5 ) . this might rellect a lack of autoregulat~on in this tissue structure. as has been reported fi)r the adult a n ~ r n a lby Alm and Bill ( I ) . Second. in the first 5 months after h ~ r t h C'hBF . tends to decrease with age whereas syhteniic blood pressure has been reported to increase (5. 20). This suggests a delayed development ( \ I < 1 I \ l l O V 0 1 1 1 1 1 1'1 K( k \ I l l I I K K O K 1 \ 1 1 [ I l l of' the ulttrnate "mature" vascular reststance in the choroidal \ < , I 0 1 I N l K \ \ h l b l \ I \ \ K l \ I l O h I \!'I \ I N 1 1 ) I{\ \ vascular bed. O n e might speculate that. in con~pariaonwith the ( , [ 1'1\ I KcN II NI O1 W r 0 \ \ ( ~ l N b l 0 I ) l 1 \N \ I k f l 1) N l T l f TI11 N'l l ~ ~ l l I )l l mature newborn state. the vascular resistance in the premature I I \ \ I \Ql \ K t \ M I I I I O I ) choroid is even lower and consequently blood flow is h ~ g h e rat (stochastic variables are underlined) a n y given perfusion pressure. Such a high flow rate. together with the absence of a n 0.-related Ilow regulating nicchanism. would , l = ~ + t ~ , + / t ' ( y x , l +( ,i =l 1. . . . . N : j = I. .... N , ) greatly favor the development of' high local tissue oxygen tensions in premature babies treated with high environmental oxygen. where N = number of' animals: N , = number of experiments in C'learly, further studies are needed both in terms of delining the i'" animal. regional changes in R B F and <'hBF at various levels of oxygenation and also by alteration In O 2 capacity. niore sharply delineating the role of Pa@ vcrr.scts0 2 content in the regulation of RBI:. where y,, = blood flow measurement In the j'" experiment ol'the i'" aninial; p = a constant equal for all animals: 11, = additive etlrct due to the i"' animal: /I, y = regression coeffic~ents;~ssuniedto be I r n . .\. .ind HIII. :\ 711e ~ r \ \ g c r\uppl\ ~ 1,) ~ l l cret1n.i I I 1 l l c c ~ \t t 1 I i ~ g l11it1.1~ <Icul:~rprc\\urc .lnd (11 111crc:iwd:irtcr1'11 ~~1rha111 d10\1de ter1\1011,111u\e:~l.i~id the same ti,r each animal: x,, = value t,r [O-I,,in the j'l' experiment re111iaI h l ~ ~ c11<1u d 111 '.it\ ,\ct:~l'li!\~ol Sc,lnd , ,SJ 3111> I ILl7?j of the i"' animal: x , , ) = I'unction of' x,, and y ( c . ~ .f (. y . x,,) = IiiII. :\ 0 c u l . i r illid I I ~ ~ nI eL r \ c h l c ~ ~Ilou d .!I rn,rr~~:il : I I I ~~~icre:~\cJ .\111i. .\ . I / x , , , o r f ( y , x , , ) = e . x , , . ~ r f ( y . x , ~(In ) = x,, + - ( ) / x , , J : e , , = e r r o r ~ ~ i ~ r . i - ~ ~prc\\ilrc\ ~ u I , ~ r I I I ~ ~ ~ ( > n h( c~ \~\ i : i c . il ~ r u.\~) \ t ~ l c I \ u1t11 r . ~ d ~ < ~ . i c t ~ \ c l ! ldhcllcd r ~ ~ ~ ~ r o \ p hI cI Ir Ce ~\ L I ~ I 11<1u I I ~ d c t c r ~ i ~ ~ ~ i .111 it~ hr.1111 o ~ ~c\ ~ r \<>111c ~ d c>~ticr term w ~ t hexpectation Lero and standard deviation proportional li\\ue\ I \ p I.\e K c \ . 15 15 ( 1 9 7 1 ) t o the expectation ~ t ' y , ~ . Bi~ckherg,( i I ) . L U L L , J ( , IJ:i!nc. 0 l i . IIOIIIII.III. J I I . ~ l r c l ~ J~ c1'.. :IIIC! T h e observed value f\)r v,, and not the expected term 01' v,, 15 I , \ t ~ ~ , I ,) I S<>,,,C <,I <.,,,>r I t 1 ,,,,..,\,,r,,,)7 r~).l<~,,,,l l>l<>,>,l 1 1 , ~u,1t1 ~ s u l > ~ ~ ~ t i lii t) rc J~ h crl-<)Ic tcrm I., in the n1tIdc.l :~h<)ve r : i ~ l ~ c ~ . i ~r ~ . ~~~~\cer < > \ p I i Jc r e.\ppl \ I ' h \ r l c ~ l . 1 1 i c / X I 1'17 1 I In this model, estimates i~, ti,. /i. and of, respectively. 1,. o,./ I . ('.II~, S M O \ \ g u i d e l ~ \ r r \,tncI trp~:thr~n dog' durlrig . I I I ~ ~ I I.rnd C JI?I>O\IC t i \ p < ~ \ ~J . Appl ~ I ' h \ \ i c ~ l . 4.' ? ? h ( 1 ' / 7 7 ) and y were deterrn~nedin such a way that K l l I KI N( I S \NI) N O I I S I ? 3 \6>,,,L<.\ 4 5 t~g~ 01 M ~ ~ I LI 1Ai rIh l ~ ~ I i c r ~ . l ) . i ~ c \ .( i S I e1.11 :trid Ncc,r~:t~:tll ' J i \ \ ~ ~ ~ l~Ye.irht>ok < tllcdg,>,I ' I O S ~ I . lJ~1lp111, ( J , L ~ Ks)Iincr, ~ ~ d 1 bl O\\gcri \uppl) 1,) llic rclirlai 111c rct111:iI J I I ~c l i ~ ~ r ~c ~ r~c~u l .~~ il ~l &it ~ i 11<~rri1.11 ~i\ . I I I ~i r ~ c r c ~ ~ \cirtcr~.~l cd ,~\~gcri I L V I \ I G > I I \ I I I \ ~ , I Opti~t~.~l~~i,~l. ,S i x x I l C l f + l ~ was t ,~rtcrl.iI1 ' 0 C I I I rel,111\c 7 t.pcroli. ( ; . J o h l i \ o n . M . :1ri4 Nohlc. J K 1 . 1 1 ~c l l c ~ ,)I retlnal h l t ~ o dIliw 111 nh,nhc\\ In\e\l Oph~h.iln~i,l. l J 142 ( I U 7 i l X I l ~ c h l i ~ i nJr . 1 3 . .ind I r.i!\cr. K S111dic\ $11 rc11ri.il L I I ~ I I ~ . I ~ I O 111 I I 111:111 Oh\cr\.i. II,>II\ ,111\e\\cl d ~ . ~ n i c t c,irterlo\c~icn~\ r, 1ix>ge11~ l ~ l l c r cJ ~I iI ~~I cI I ~ C L~I ~~ r ~ l ~ I : i t i o ~ i 0 l)<!llcr>,( Irc>111 1111ic( ~rclll.il~~,n. .'1 Ill? ( Ic~1,01 I : I I I I ~ ~ ; I I ~J . T l11\1or\ 01 o\\ge11 tIicrakp\ . I I I ~ rctr~ilc~it:~l T h e 1ihr~1pI.1~1.1 l'ed~.~lr~c\. i- i c l l I l'I7hl I 0 Jc~nr,.M I ) . J r . Sheldun. K I . I'eetcr\. I I . bl.ihou\h~, I I . ,111d h1c~cli1.1. (; K e g ~ ~ l ~ i(11t ~eerchr.11 o~i h l c ~ ~11<1u d 111 llic c > \ i ~ ilctu\ c \ I I I I I ' I I > \ I < ~ I. - ' i T I 1 162 ( ICJ7Xl 'I minimdl J ; i ~ ~ i c I\ . S . .i~id percentile error w a determined as li~llows: where p = N + I. ~ncaae ol'one regreasron coeflicient ( P ) ... .. . N I N + 2. ~n case of two rcgreasion coeflicienth (I<. /' Y - -(). If 11 could be aaaurned ( t h u / j = 0). estimate5 that blood Ilou wa5 independent o f [O:]., i~, for /I + ( I , could be determined in such a way that thus I li,= N, l' ( 1 /y,l I ,. ,. - N I 1 N , I [ yll - (11 !)I + (I,} I/>,, I )? I I' wa5 minimal. Let: 11, = 11 + ( I , . then the t'unction: Remark 0 5 S,,,,,,5 S :\ n1ea5ure 01' the expla~ncdvarlatlon ~n blood flow balue5 b! a gl\en (low-oxygen I'unctiun was ohta~nedh! would be rnin~nialwhen the part~aldcrr\ati\es, = 0 li)r r = 1. oi~,
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