7
Annals of the Rheumatic Diseases 1995; 54: 417-423 Fluid movement across synovium in healthy joints: role of synovial fluid macromolecules J R Levick, J N McDonald Synovial fluid is not a static pool, but is continually being absorbed and replenished by the synovial lining of the joint cavity (synovium, synovial intima), which is approximately 20 ,m thick (rabbit knee) to approximately 60 pm thick (human knee). The three key elements for fluid turnover are the synovial capillary, synovial interstitium, and the lymphatic drainage system. Synovial capillaries. Normal areolar and adi- pose synovium have a row of capillaries - 5 ,m (rabbit) to -30 ,um (man) beneath the surface, many bearing fenestrations (membranes of high permeability to water), often on the side facing the joint cavity.'3 The high capillary density, superficial location, and fenestral orientation are well adapted for synovial fluid formation and nutrient supply. Synovial fluid is formed primarily by ultrafiltration of plasma across the fenestral membranes, driven by a net imbalance in the 'Starling pressures' acting across the membrane. The Starling pressure imbalance is the pressure drop from capillary plasma to synovial interstitium, minus the difference in effective colloidal osmotic pressure (COP) across the capillary wall. Experimental studies of how capillary blood pressure, plasma COP and intra-articular pressure affect net trans-synovial flow have been reviewed elsewhere.4 The influence of intra-articular (IA) colloids, however, has only recently begun to be studied and is considered here. Although capillary ultrafiltrate is the raw material for synovial fluid formation, the synovial lining cells also actively secrete the glyosaminoglycan hyaluronan and the glyco- protein lubricin to produce the highly viscous, lubricating synovial fluid.6 Synovial interstitium. The path into the joint cavity from a capillary, and from joint cavity to a lymphatic vessel in the subsynovium, passes between the lining cells. These intercellular gaps, several ,um wide, contain a complex fibrous matrix (type I, III, and V collagen fibrils, type VI collagen microfibrils, hyaluronan, chondroitin and heparan proteoglycans, possibly keratan sulphate, fibronectin) in open contact with IA fluid. The hydraulic conduc- tivity of the matrix is about 10-` cm4 s-1 dyn-' or less,7 8 which helps to reduce the rate of escape of IA fluid when joint pressure is increased (for example in flexion). Effect ofjoint motion and angle. Intra-articular fluid pressure (IAP) is an important factor affecting net flow across synovial interstitium: it opposes capillary filtration by increasing peri- capillary interstitial pressure, and it promotes drainage from joint cavity to subsynovium. IAP is affected by movement of a joint, linking joint motion to fluid transport. Active or passive flexion of a normal joint can increase IAP to just above atmospheric pressure (much greater for effusions), whereas in extension LAP is a few cm H2O less than atmospheric. At sub- atmopheric pressures, net flow is often into the joint cavity, and at supra-atmospheric pressures net flow is directed out of the healthy cavity.4 5 Synovial lymphatic system. A plexus of terminal lymph vessels is found at the subsynovium- synovium border and drains away fluid, macro- molecules, and particles that have escaped from the joint cavity.6 9 10 Subsynovium com- prises loose areolar tissue (substantial areas), and fatty and fibrous tissue. Areolar sub- synovium connects with surrounding connec- tive tissue planes and, like areolar tissue elsewhere, acts as a compliant, low-pressure 'sink' when fluid is driven into it, as in experiments described here. Intra-articular albumin and trans- synovial flow Edlund established that IAP promotes the escape of saline from the synovial cavity, and that the pressure-outflow relation steepens at pathological IAPs because the hydraulic resis- tance of the synovial lining decreases." Normal synovial fluid, however, is more complex than saline: its most abundant macromolecule, albumin (40-45% of plasma concentration), endows the fluid with COP, while hyaluronan (-3 g/l) dominates the viscosity. Albumin not only increases COP but also increases viscosity modestly. To study its effect on trans-synovial flow in our laboratory, we inserted two cannulae into the joint cavity of a rabbit knee under anaesthesia. One cannula recorded IAP and the other infused albumin solution from a gravity-driven reser- voir, the vertical height of which regulated IAP. An intervening drop counter recorded the rate of absorption of infusate. Flows were measured in the steady state, and after a small correction for wall creep this was equated with net trans- synovial flow, Q. (net absorption rate). (The absorbate mostly passes into subsynovium, but transcapillary flow is involved also-see below.) The procedure was to infuse known albumin concentrations alternately with Krebs solution; after 15 minutes of infusion, the joint was flushed with the new infusate. No hyaluronan was present. Q, in the presence of albumin was then expressed as a fraction of Qs for Krebs solution; this will be referred to as the 'ractionalflow'. Department of Physiology, St George's Hospital Medical School, London, United Kingdom J R Levick J N McDonald Correspondence to: Professor Levick 417 on January 27, 2021 by guest. Protected by copyright. http://ard.bmj.com/ Ann Rheum Dis: first published as 10.1136/ard.54.5.417 on 1 May 1995. Downloaded from

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Page 1: Fluid movement synovium healthy joints: role of ...The hydraulic conduc-tivity ofthe matrix is about 10-` cm4s-1 dyn-' or less,7 8 which helps to reduce the rate of escape of IA fluid

Annals of the Rheumatic Diseases 1995; 54: 417-423

Fluid movement across synovium in healthy joints:role of synovial fluid macromolecules

J R Levick, J N McDonald

Synovial fluid is not a static pool, but iscontinually being absorbed and replenished bythe synovial lining of the joint cavity (synovium,synovial intima), which is approximately 20 ,mthick (rabbit knee) to approximately 60 pmthick (human knee). The three key elementsfor fluid turnover are the synovial capillary,synovial interstitium, and the lymphaticdrainage system.Synovial capillaries. Normal areolar and adi-pose synovium have a row of capillaries - 5 ,m(rabbit) to -30 ,um (man) beneath the surface,many bearing fenestrations (membranes ofhigh permeability to water), often on the sidefacing the joint cavity.'3 The high capillarydensity, superficial location, and fenestralorientation are well adapted for synovial fluidformation and nutrient supply. Synovial fluidis formed primarily by ultrafiltration of plasmaacross the fenestral membranes, driven by a netimbalance in the 'Starling pressures' actingacross the membrane. The Starling pressureimbalance is the pressure drop from capillaryplasma to synovial interstitium, minus thedifference in effective colloidal osmoticpressure (COP) across the capillary wall.Experimental studies of how capillary bloodpressure, plasma COP and intra-articularpressure affect net trans-synovial flow havebeen reviewed elsewhere.4 The influence ofintra-articular (IA) colloids, however, has onlyrecently begun to be studied and is consideredhere. Although capillary ultrafiltrate is the rawmaterial for synovial fluid formation, thesynovial lining cells also actively secrete theglyosaminoglycan hyaluronan and the glyco-protein lubricin to produce the highly viscous,lubricating synovial fluid.6Synovial interstitium. The path into the jointcavity from a capillary, and from joint cavity toa lymphatic vessel in the subsynovium, passesbetween the lining cells. These intercellulargaps, several ,um wide, contain a complexfibrous matrix (type I, III, and V collagen fibrils,type VI collagen microfibrils, hyaluronan,chondroitin and heparan proteoglycans,possibly keratan sulphate, fibronectin) in opencontact with IA fluid. The hydraulic conduc-tivity of the matrix is about 10-` cm4 s-1 dyn-'or less,7 8 which helps to reduce the rate ofescape of IA fluid when joint pressure isincreased (for example in flexion).

Effect ofjoint motion and angle. Intra-articularfluid pressure (IAP) is an important factoraffecting net flow across synovial interstitium:it opposes capillary filtration by increasing peri-capillary interstitial pressure, and it promotesdrainage from joint cavity to subsynovium. IAP

is affected by movement of a joint, linking jointmotion to fluid transport. Active or passiveflexion of a normal joint can increase IAP tojust above atmospheric pressure (much greaterfor effusions), whereas in extension LAP is afew cm H2O less than atmospheric. At sub-atmopheric pressures, net flow is often into thejoint cavity, and at supra-atmospheric pressuresnet flow is directed out of the healthy cavity.4 5Synovial lymphatic system. A plexus of terminallymph vessels is found at the subsynovium-synovium border and drains away fluid, macro-molecules, and particles that have escapedfrom the joint cavity.6 9 10 Subsynovium com-prises loose areolar tissue (substantial areas),and fatty and fibrous tissue. Areolar sub-synovium connects with surrounding connec-tive tissue planes and, like areolar tissueelsewhere, acts as a compliant, low-pressure'sink' when fluid is driven into it, as inexperiments described here.

Intra-articular albumin and trans-synovial flowEdlund established that IAP promotes theescape of saline from the synovial cavity, andthat the pressure-outflow relation steepens atpathological IAPs because the hydraulic resis-tance of the synovial lining decreases." Normalsynovial fluid, however, is more complex thansaline: its most abundant macromolecule,albumin (40-45% of plasma concentration),endows the fluid with COP, while hyaluronan(-3 g/l) dominates the viscosity.Albumin not only increases COP but also

increases viscosity modestly. To study itseffect on trans-synovial flow in our laboratory,we inserted two cannulae into the joint cavityof a rabbit knee under anaesthesia. Onecannula recorded IAP and the other infusedalbumin solution from a gravity-driven reser-voir, the vertical height of which regulated IAP.An intervening drop counter recorded the rateof absorption of infusate. Flows were measuredin the steady state, and after a small correctionfor wall creep this was equated with net trans-synovial flow, Q. (net absorption rate). (Theabsorbate mostly passes into subsynovium, buttranscapillary flow is involved also-seebelow.) The procedure was to infuse knownalbumin concentrations alternately with Krebssolution; after 15 minutes of infusion, the jointwas flushed with the new infusate. Nohyaluronan was present. Q, in the presence ofalbumin was then expressed as a fraction of Qsfor Krebs solution; this will be referred to as the'ractionalflow'.

Department ofPhysiology,St George's HospitalMedical School,London,United KingdomJ R LevickJ N McDonaldCorrespondence to:Professor Levick

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Levick, McDonald

Albumin concentration relative fluidity (reciprocal of relative viscosity)(g/l) if Darcy's law applies and pressure gradient00 300 200 100 50 dP/dx and bed area A are constant. The dashed

1.0- line of equality in figure 1 is thus a guide to

-- - - whether net transynovial flow obeys Darcy'so4- <,/ law. Net Qs in vivo did not follow this line,Es -- however: at IAPs of 3-6 cm H2O, albumino- 05 reduced net Qs more than expected from the>.

D, 05 _ 0 ,z,/reduced fluidity. At very high, non-physio-logical concentrations, net flow even reversedC5 - - direction to a net filtration into the cavity. The.c-,'*1/ deviation below the Darcy line and eventual.o

~1 l *

reversal is caused by capillary filtration into thecavity (see later), which is increased by the

10 colloid osmotic pressure of the IA extra--0.2 vascular fluid (Starling's principle). Capillary

Relative fluidity filtration into the cavity partially or wholely( Valbhkrebs) offsets drainage from the cavity via intercellular

spaces, reducing the net trans-synovial absorp-Figure 1 Effect of interstitial albumin on fractional trans- tion rate.nratu ralbuminlthuson-synovialflow in vivo(E) and after death(1) at 3 ton rate. Intra-artcular album thus demon-H20 intra-articular pressure, plotted as afunction of strably permeated the lining to reach the peri-solution fluidity, f. Fractionalflow is net trans-synovial capillary spaces. The above interpretation was

flow of albumin solution relative to that of Krebs solution: supported by experiments (see

(alb/ 0Krebs Relative intra-articularfluidity islIIalb 14Krebs-Arrowed lines unite asequence of results in a single joint.Dashed line of equality represents a simple porous medium features in vivo are notable.in which fractional change inflow equals change in relative Are pericapillary COP and intra-articular COPfluidity of liquid. equal? The effect of IA albumin on netQS was

less than expected from the effect of intra-The effect of albumin on fractional flow in vascular albumin onQs,"2 if one were to assume

vivo is shown by the filled squares in figure 1. that pericapillary albumin concentrationThe x axis here is 'relative fluidity'. Fluidity equals that in the joint cavity. This suggested(f), the reciprocal of viscosity (-r), was plotted the possibility that pericapillary albuminbecause, according to Darcy's law of flow, flow concentration might be less than in the joint

through a rigid macroscopic porous medium cavity here, despite the proximity of the(e.g. sand) is inversely proportional to viscosity: capillaries. This inference was supported by

K(AI) (dP/dx) =+ KA (dP/dx) modelling studies (see below). It appears thatsynovial fluid protein concentration and COP

where K specific hydraulic conductivity, are not necessarily true measures of the valuesA=bed area.W hen the flow of albumin acting at the capillary wall at high filtrationsolution is divided by that of the solvent (Krebs rate. The difference may be small normally,solution here), fractional flow should equal the however.

Inflow and outflow simultaneously across thesynovial lining in vivo. In the above experi-

*+-l Infusate ments, IA fluid was aspirated for analysis afterinf savt the 15 minute infusion period. To our initialI-Jointcavity

surprise, IA albumin concentration was less

* (l' ;; Synovial | than that being infused, despite the prolonged\|

Fenestrated d, interstitium

ainfusion period and a preceding triple flush

3\

capillary .3' (fig 2). The aspirate/infusate concentration-Loose areolar ratio decreased with increasing infusate con-*| Isubsynovium centration, and increased closer to unity with

Lymphatic vessel increasingIAP. This led us to suspect that an

equalityinternal circulation of fluid was occurring---equality (fig 2 inset). The COP of pericapillary albumin

18 \ increases the rate of capillary ultrafiltration into18_ the joint cavity by the Starling principle,E6 leading to IA dilution. At the same time,6

outflow occurs through the interstitial pathway. parallel to and some micrometres distant from

the capillary. A net trans-synovial outflow(absorption) is recorded when interstitialoutflow from the cavity exceeds capillary.

________________________________________________ _

, ,,filtration rate into it. For this hypothesis to be0 50 100 150 200 250 tenable, however, IAalbumin must diffiu ssufficiently rapidly the stream of capillary

Isotigfiltrate to maintain a filtration-enhancing COP2Albumin concentration in joint cavity of rabbit knee relative to infused in the pericapillary region. Is this a realistic

ration after continuous infusion for 15 minutes preceded by triple flush, plotted as a possibility? To address this, a mathematicalof infused concentration (mean, SEM). " Results at three different intra-articular model of trans-synovial flow and albumin

essures(IAPs) shown. Inset shows proposed explanation, based on net trans-1 consisting of two oppositely directed flows. diffusion was constructed, as follows.

2.0

15.5

0.5.

0Cu

C

c)

ca)C0C.,

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a))

c)

cC

c)Cu

C

0)C-,C0C.0)

0C)

0

Figure 2concentrfunctionfluid pre

synovias

418 l E on January 27, 2021 by guest. P

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Fluid movement across synovium in healthy joints: role ofsynovialfluid macromolecules

-Subsynovi

*4 Cavityy

vL x -,

Subsynovial space

max

Fenestral - i 2plaque 9

* Synovi~~~~~* 0 * *

Capillary

- 0x/'~~~~o.' , max

Joint cavity

AL ri~~~~~ssue

A Cj *piFigure 3 Two dimensional modelfor trans-synovialflow.8 The orientation is invcompared with figure 2 in order to make the y axis positive. Synovial lining in siti(Tissue) is subdivided into identical unit cells (middle), and the unit cellffurther siinto very small blocks (Tissue element). J =flux ofwater or albumin in given direoPi, C, = interstitial pressure and protein concentration at defined point; A, L = su7and length of each tissue element.

Modelling trans-synovial flow andtransportThe two dimensional model (fig 3) won mean morphometric values for rabsynovium:8 anatomical heterogenneglected. The core of the model isrepeating unit consisting of a half capil:an orientated fenestral cluster andbouring tissue domain. Quantities

Biophysical aspects of interstitial transport: the properties are governed primarily iconcentration of interstitial biopolymers, especially glycosaminoglycan, the volumeofwhich is 0

Property Key biophysical relations* Referencelassun

Hydraulic conductance ki = K/hi.L K = 1-6 x 10- 18. -23 14Solute exclusion KAV = exp{-(0/rf')(rf + rj)} 4 = KAV/e`6 15 16Reflection coefficient ¢i = (1-4)) 16 17Effective viscosity Th =fi(bWk3 4), rs) Particle in tubWater flow J. = k{APj-ATr} 19Restricted diffusion Dr. = D.exp{-(O/rf2)0 5(rf + rj)} 20Albumin transport by 7s =f(AC,, Pec) Non-linear tra

diffusion and convection where Pec = J7(I-)/M,A equation'3

*Corrections for cell volume fraction, collagen fibril volume fraction, and tortuositynot shown here, for simplicity. A = area; C = concentration; D,,, = restricted diffusionwithin matrix; J= transport rate; KAV = fraction of extrafibrillar water space availablk = hydraulic conductance of unit area of material; L = length of path; M = diffusiorbility; Pec = Peclet number; r= radius of solute or biopolymer chain; APJ = pressuriacross a small element of tissue; 0 = volume fraction occupied by a component;partition coefficient in extrafibrillar space; 'q = viscosity; K = specific hydraulic condimaterial; rT = colloid osmotic pressure due to plasma protein (oncotic pressure); (

reflection coefficient; f= fibre (molecular chain); i = interstitium; s = solute; v = volum

Tissue capillary wall conductance and interstitialhydraulic resistance were evaluated from

um published data. The tissue was subdivided intotiny cubic elements and protein flux acrosseach face of the element calculated by the non-linear membrane transport equation of Patlacket all3 for combined diffusional and convective(wash-along) transport. Each element wastreated, in effect, as a leaky porous membraneand was allotted a finite concentrationdifference, pressure drop, hydraulic resistance,partial albumin exclusion, albumin reflectioncoefficient, and restriction to diffusion. Allthese material properties were related to

Unit cell interstitial biopolymer concentration (glycos-aminoglycan, etc) by random fibre matrixtheory (table) . `-20 Capillary hydraulic per-

iur meability was represented by discrete sites(patch of fenestrations): the simplifyingassumption of uniform capillary permeabilityto water (widely used in mathematical models)causes significant errors. The numerical solu-tions led to several useful insights into trans-synovial flow, as follows.Theoretical support for simultaneous bidirectionalflow across synovium. Figure 4 shows thesolution for one particular set of experimentalboundary conditions (IAP, COP, etc). Over thesynovial surface as a whole, a net outflow fromthe cavity is predicted (absorption), due to flowthrough interstitium remote from the capillary;

element but there is also a smaller, localised inflowthrough the interstitium immediately overlyingthe capillaries, caused by capillary ultra-filtration. There is thus a local circulation ofextravascular fluid and this explains much ofthe IA dilution observed experimentally (fig 2).

uerted Similar bidirectional trans-synovial flowubdivided patterns are computed at lower IAP-COPction; combinations such as might occur in vivo. Therface area experiments and model thus reveal a novel

mechanism for synovial fluid turnover in astationary joint, provided that the joint angle is

protein such that IAP is greater than subsynovialpressure.

as based Pericapillary COP v intra-articular COP. Most)bit knee of the hydraulic permeability of a synovialteity is capillary is concentrated in a tiny section of itsa basic perimeter, namely the patch of fenestrations.

lary with Filtration velocity (cm/s) is therefore orders ofa neigh- magnitude greater than if the same flow (cm3/s)such as occurred uniformly across the entire area of

wall (cm2). High filtration velocities tend to

by the wash interstitial plasma protein moleculesefraction away from the outside of the fenestrations,

reducing their local concentrations (fig 4,nption right). Despite this, a certain perifenestral

protein concentration is preserved by diffusionagainst the ultrafiltration stream along thelocally steepened concentration gradient

emodel'8 (rather as a dye can diffuse up a sluggishstream), but the resulting perifenestral concen-

msport tration is always less than IA concentration tosome degree. This helps explain why a given IA

cofficienare concentration of albumin had apparently lessle to solute; effect on fluid exchange than intracapillarynal permea- albumin-a feature noted earlier.edifference; 4 = solute

crtosmotic In the above experiments, extravascular

le. albumin was supplied via an infusion line. Can

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Levick, McDonald

Flow pattern

SubsynoviumI.~~~~~~~~~

..........t.......t.......,,,..I % I. t t t t * tt tttt t tI..t

..i*t t t t f t . t .. t .....t

I t t t tt t t t t t* t t.. . . .

_ *t t t tf tv t t t t tt t t t t t t

I t t itttttt ,tftf,.....X t tt t t t t tt tttf.tfI ' .

t t t t t * * * . *9 . .9 t 9

Capillary lumen )tt t' ''''' ' tt', f t t ? *~ t t t t tf .f t t tI t t' i// / t ~t t t t t. t t. t t t t t

I \ lt?Ptr ,t e.........O'tZN~ortsf ' f * * t t t . . I

z t,X t 99I****WbXs-***I'* *

X *v \* ..b X, * I- O p P.9909999ttt9?9

y = I ___

x= ° tt \4 Joint cavitY 7 7

Albumin field

Subsynovium41.1 41.1 41.1 41.1 41.1 41.1 41.1 4.241.1 41.1 41.1 41.1 41.1 41.1 41.1 41.241.1 41.1 41.1 41.1 41.1 41.1 41.2 41.241.1 41.1 41.1 41.1 41.1 41.2 41.2 41.241.1 41.1 41.1 41.1 41.1 41.2 41.2 41.2I 41.141.1 41.1 41.2 41.2 41.2

41.2 41.2 41.2>s41.2 41,2

Capillary lumen 41.41.6

Protein con 53 g/l j 4.l'.1.9 46.4

-1,439.34.3339.5 46.1 4.5

41.6 41.5 41.3 41.6 46.? 46.5 4.6 46.941.? 41.6 41.5 41.3 41.2 41.1 41.1 41.341.9 41.8 41.6 41.1 41.6 41.5 41.6 41.?42.1 42.1 42.1 42.6 42.1 41.9 42.6 42.142.4 42.4 42.4 42.4 42.3 42.3 42.4 42.442.6 42.8 42.? 42.? 42.? 42.? 42.? 42.843.1 43.1 43.1 43.1 43.1 43.1 43.1 43.143.5 43.5 43.5 43.5 43.5 43.5 43.5 43.5

Joint cavity

N.Z 1.241.2 41.241.2 41.241.2 41.341.2 41.341.2 41.341.2 41.341.2 41.341.2 41.241.1 41.241.6 41.146.6 41.14.6 41.14.6 41.241.2 41.441.5 41.?41.6 41.942.1 42.242.5 42.542.6 4.343.2 43.243.1 43.6

I1.2 1.141.2 41.341.3 41.341.3 41.341.3 41.441.3 41.441.3 41.441.3 41.441.3 41.441.3 41.441.3 41.441.3 41.541.4 41.641.5 41.?41.6 41.841.6 42.142.1 42.242.4 42.542.6 42.?42.9 43.643.3 43.33.6 436

Figure 4 Predicted bidirectional pattern offlow across synovial interface with joint cavity (left) and correspondinginterstitial albumin concentrations (right: x axis expandedfor clarity).8 Dark bar on capillary wall shows site ofpatch offenestrations. Boundary conditions: intra-articular pressure (AP) 6 cm H20; subsynovial pressure atmospheric; intra-articular albumin concentration 44 gIl; capillary pressure = plasma colloid osmotic pressure. Left: Thin arrows areflowvectors;flow into cavity 0-2 uik/min;flow out of cavity 10 7 ,ul/min; capillaryfiltrationfraction 0 044. Larger inflow!outflow ratios occur upon increasing intra-articular albumin concentration or decreasing IAP. Right: Numbers representalbumin concentration in available, non-excluded interstitial water. Note the substantial dilution immediately around thefilteringfenestral patch (thickened line). Over the capillary, albumin is diffusing out of the cavity against the inwardfiltration stream.

similar perifenestral gradients of plasmaprotein exist normally? To answer this, we

must consider the normal route(s) of entry ofplasma protein into the synovial interstitiumand synovial fluid. The fenestral membraneitself has a high protein reflection coefficient(08 for albumin3) and it is generally acceptedthat much of the extravascular plasma proteinmass, especially for the larger molecularspecies, enters interstitium via the capillarylarge pore system, which comprises thevesicular transport system, continuous largepores or both.2' Thus much protein entersinterstitium at regions spatially separate fromthe site of fenestral filtration, and perifenestralgradients analogous to those in figure 4 may

therefore occur normally. As noted above, thiswould imply that intra-articular COP is only anapproximation to the COP around thecapillary fenestrations. The goodness of thisapproximation varies with filtration rate.The model predictions for IA dilution and

fractional flow8 broadly fitted the scatteredresults of figures 1 and 2. The variability of Q.

in rabbit joints is a consistent feature in our

experience.

Relation between synovial liningpermeability and biopolymerconcentrationThe net concentration of biopolymers (glycos-aminoglycans, proteoglycans and glyco-proteins) in synovial interstitium is a key factorgoverning hydraulic resistance and permea-bility to macromolecules. For the model, a

biopolymer concentration of -13-9 mg/ml ofextrafibrillar space (interstitial space excludingcollagen fibrils) was deduced from experi-

mental estimates of synovial hydraulic resis-tance.8 22 Recently, the very small (mg)quantities of synovium in a rabbit knee havebeen analysed directly and quantitatively forcertain biopolymers. The net concentration ofchondroitin sulphate, heparan sulphate, andhyaluronan is -3 9 mg/ml of extrafibrillarspace (recalculated). This is substantially lessthan the theoretical biopolymer content of

13-9 mg/ml. The difference is partlyexplained by the existence of unassayed bio-polymers (for example glycoproteins, proteo-glycan core-present on immunohisto-chemistry); indeed, similar discrepancies occur

in other tissues if such components are

neglected.22 The attempt to match biochemicalcomposition and physiological propertiesin synovium is thus incomplete at present.

Trans-synovial flow in absence ofcapillary filtration: a viscosity anomalyKilling an animal abolishes capillary filtration,and this provided direct evidence that thedeviation of fractional flow below the Darcyline in vivo (filled squares in figure 1) was

caused by capillary filtration. When the animalwas killed the low net outflows induced byalbumin increased to much greater values(open squares in figure 1). Thus depression oftrans-synovial outflow below the Darcy line invivo is caused by microvascular filtration.

Trans-synovial flows of albumin solutionpost mortem lay above the Darcy line, ratherthan along it as one might expect upon firstconsideration. Experimental design may haveexaggerated the deviation,24 but there is a

fundamental theoretical reason why the fluidityof interstitial fluid should be different from that

Protein concn 44 g/l

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Fluid movement across synovium in healthy joints: role of synovialfluid macromolecules

ofthe IA solution. The reason is that interstitialbiopolymers exclude albumin from a fractionof the water space.25 26Around any biopolymerchain there is an annular space into which thecentre of mass of a large globular solute cannotpenetrate, because of the solute's finite radius(steric exclusion), but into which the muchsmaller water molecule has free access. Thegreater the glycosaminoglycan concentration,the greater is this excluded volume fraction5 25(table). Since the trans-synovial pressuregradient must drive some water and electro-lytes through the albumin-excluded space, inaddition to driving albumin solution throughthe albumin-available space, the effectiverelative fluidity is a flow-weighted averagebetween that of the saline solution (relativefluidity 1 0) and the albumin solution in thenon-excluded space (fluidity < 1 0). Thus theeffective interstitial fluidity is greater (closer to1 -0) than that of the feeding phase, as seen postmortem (fig 1). In other words, steric exclusionof interstitial plasma proteins reduces theeffective viscosity of the permeating fluid. Thiseffect was obscured in vivo by the large, COP-induced changes in capillary filtration, exceptperhaps at low albumin concentrations.

Anomalous viscosity in narrow channelsA first-approximation treatment of anomalousviscosity was developed by analogy withlaminar flow of particulate suspensions (suchas blood) down narrow cylindrical tubes; here,steric exclusion at the walls produces a similaranomalous low viscosity (Fahreus-Lindquisteffect27). Flow through the spaces betweencylindricalfibres exhibits Poiseuille-like laminarpatterns,28 because the channel is in effect an'inside-out' tube. For a narrow cylindrical tube(radius Rwbe) with laminar flow, Whitmore'8

80 -

showed that the anomalous viscosity of asuspension of particles (radius r) is given by:

1/iapparent = V-{(Rcore/Rtube)4( 1_(1/,lcore))}

where 'lapparent and lqcore are the apparent relativeviscosity and the bulk viscosity of the liquid inthe non-excluded core, respectively, solventrelative viscosity is 1, and the radius of the non-excluded region, Rcore, is Rtube -0-735r. Inextrapolating this to a biopolymer matrix, theequivalent tube radius of the irregular channelsbetween the molecular fibres is calculated asthe tube radius that produces the samefractional steric exclusion of particle (albuminmolecule here) as the matrix. The resultingtheoretical curves deviate above the Darcy line(line of equality, figure 1), but less so than theobserved results. Possible reasons for thediscrepancy between experiment and theoryhave been assessed previously.8

Effect ofintra-articular hyaluronan ontrans-synovial flow QsThe physical properties ofhyaluronan (3-4 g/l;mol.wt > 106) contrast strongly with those ofalbumin (fig 5). The COP of hyaluronan isslight, but its effect on viscosity is great. Theeffect of hyaluronan on Q, is modest at lowIAP, but remarkable at high IAP (fig 6). In theexperiment illustrated, a fixed concentration ofhyaluronan (3 or 6 g/l) was infused and IAPwas increased every 15 to 20 minutes todetermine the IAP-Q. relation. The controlcurve with Krebs solution shows the wellknown increase in slope with IAP, indicating adecrease in hydraulic resistance with increasingIAP (Edlund curve"). This is attributablepartly to stretching of the lining with pressure29and partly to dilution of interstitial matrixbiopolymers.23 Albumin reduces absorptionrate in vivo at any given pressure (see above),

80

200 300

Colloid osmotic pressure (cm H20)Figure 5 Effects ofhyaluronan and albumin on colloid osmotic pressure (at 35°C andpH 7 4) and viscosity (at 35°C and wall shear stress of29 dyn cm-2). Points representincreasing concentrations. Molecular dimension are compared in the inset, roughly to scale.r = Molecular radius.

60

Ei-.a)

400.

0CoUn20

0 10 20IAP (cm H20)

Figure 6 Effect of intra-articular pressure on net trans-synovialflow out ofjoint cavity (absorption) for Krebssolution (A), albumin 110 gIl solution (S) andhyaluronan 6 g/l solution (U) in three individual rabbitknees.

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Tr= 60-100 nmHYALURONAN v

ALBUMIN . i r= 3.6 nm

5 g/l hyaluronan

20-

0

60 g/l albumin- . * *0

100,- -

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Levick, McDonald

Joi r

mrTole'

I -Mv c ; -

MirtevfoVi'Infhb

Col.)lagen IFigure 7 Sketch showing composition ofpathway between joint cavity andcomprisingfibrous matrices ofsynovial interstitium, capillary basement menendothelial glycocalyx. The voluminous hyaluronan molecules ofsynovialflto permeate the lining less freely than water, leading to an accumulation of/the interface when the intra-articular pressure is increased.

but it does not alter the basic shapepressure-flow relation (middle curve,Hyaluronan, by contrast, alters the basof the pressure-flow relation. At lovflows are reduced by hyaluronan to 1

Hydraulic conductivity of GAG matrix (x 10-12 cm4 s-i dyn-11500 500 200 100 50 30 20 10 5 3 2 1 0.

1 5 10 50GAG concentration (mg/ml available water)

Albumin: a = 3.55 nm

IgG: a= 5.6 nm

2M:a = 9.1 nm

33% and 66% of control flow-a surprisinglymodest effect considering that hyaluronan

cavity reduces the bulk fluidity to 6-10% of controlfluidity.30 At greater IAPs, trans-synovial flowdecreases increasingly below the control curveand begins to plateau. In several joints,including that illustrated, further increases in

irterstitiwr IAP then result, remarkably, in a slight decreasein the steady state QO. A reduction in steady

Basemenit rm state flow upon increasing IAP indicates an

En::adothe11AM increasing resistance to flow. If subsynovialGlycocalvx pressure does not change substantially and is

close to atmospheric pressure (there aregrounds for such an assumption), the IAP

Plasma required to drive unit flow across the synoviallining is an index of synovial lining hydraulicresistance, and this is found to increase

iplasma, progressively as a function of IAP. With Krebsnbrane (m.) and solution, by contrast, resistance decreases with'uid are thought increasing IAP, as has been known since theiyaluronan at work of Edlund. l 1

e of the Hypothesis: hyaluronan molecularfig 6). filtercake atthe synovial surface?

,ic shape A phenomenon analogous to that shown inw IAPs, figure 6 occurs in vitro;3' when a hyaluronanbetween solution is driven through a Millipore mem-

brane (pore width 0 45 ,um), the resistance toflow increases, because a filtercake of hyal-uronan (or 'concentration polarisation layer')forms at the surface. The hydrated, mutually

6 overlapping molecular domains of the vasthyaluronan molecules are too large to passeasily through the pores, so they accumulatejust upstream and create a high resistance tothe passage of water.32 As the equivalent tuberadius within synovial interstitium is much lessthan 045 ptm," 22 hyaluronan molecules mayfiltercake at the synovial surface also (fig 7). Apreliminary study using ruthenium red to stainpolyanionic material supports this idea:electron micrographs showed an accumulationof ruthenium red positive material just withinthe superficial interstitium and at the surfaceafter infusion of hyaluronan solution under

30 pressure.30Hyaluronan can thus affect the hydraulic

resistance of the joint cavity lining, and byacting as a 'dynamic waterproofing' duringperiods of joint flexion and increased IAP it

_0a may help the synovial lining retain the vital--- alb synovial fluid. A great deal more work remains

to be done on this phenomenon, such asexploring the importance of hyaluronan con-

- G centration and chain length, which are

9-IgG subnormal in rheumatoid arthritis.

1-3---- C2MG

If

0 50 100

Flow (RI/min)Figure 8 A: Relation between reflection coefficient (a) to a spherical macromolecule ofradius a and the concentration ofglycosaminoglycan (GAG) per ml of extrafibrillarspace, modelled as random rigid cylindrical rods of radius 0-6 nm (see table). Dark barshows currently estimated range for biopolymer concentration in rabbit knee synovium(see text). Small arrow shows estimated conductivity to saline at 35°C. B: Theoreticaldependence ofsieving ratio (outflow concentration/inflow concentration, e.g. lymphconcentration/intra-articular concentration) on flow, for a matrix with aflow-independentreflection coefficient. The ratio is close to 1 for all molecules at very slow flows. Adaptedfrom Levick. 33 a2MG = c2-Macroglobulin.

Is synovium freely and equally permeableto all macromolecules?There is controversy as to whether the synoviallining matrix is sufficiently dense to impede theegress ofIA macromolecules selectively (on thebasis of size) as implied above. The limitedevidence has been reviewed previously."Briefly, size selectivity has not been detected inthe human knee upon comparing large andsmall globular plasma proteins, but there issome evidence for size based selectivity in the

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Fluid movement across synovium in healthy joints: role ofsynovialfluid macromolecules

non-inflamed rabbit knee comparing albuminwith proteoglycan or, as here, albumin withhyaluronan. Size selectivity is expected in apolymer matrix on the theoretical groundsthat steric exclusion is closely linked to thegeneration of reflection coefficients (table).Figure 8A shows the theoretical relationbetween the synovial reflection coefficient toglobular macromolecules and biopolymer con-centration (modelled as randomly distributedcylinders of radius 0-6 nm) or hydraulicpermeability (related to concentration22(table)). In the region of interest for synovium(dark bar and arrow in figure 8A), thereflection coefficients of the larger plasmaproteins are unlikely to be zero and may exceed0-1. While the maximum molecular separationis 1-cF (i.e. the smallest effluent:input ratio is1-c, for example < 0 9 for or > 0 1), the actualseparation depends equally on trans-synovialfluid velocities: as filtration velocity is reduced,diffusion increasingly offsets molecular sievingand increases the ratio towards unity (fig 8B).The view that synovium is less permeable to

hyaluronan than to albumin implies macro-molecular selectivity. In support of this, thebulk turnover of IA water and protein isestimated to be an order of magnitude fasterthan the turnover of IA hyaluronan. The turn-over time for synovial fluid volume and proteinis estimated to be about one hour in rabbit andnormal human knees,5 while that for hyal-uronan in the rabbit shoulder is 20-28 hours.34Similarly, in the rabbit knee hyaluronan has ahalf life of 27-32 hours at normal volume,35 orbetween 13 hours (mol.wt 6 X 106) and 10hours (mol.wt 0-9 x 106) in volume expandedknees.36 Large differences between hyaluronanand water/albumin turnover times seem toimply selective retention of hyaluronan withinthe joint cavity and therefore a selectivecapacity for the lining tissue.

This work was supported by grants from the Arthritis andRheumatism Council and the Wellcome Trust (031 333/Z/90/A,039033/Z/93/Z/l -27).

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25 Ogston A G. The spaces in a uniformly random suspensionof fibres. Trans Faraday Soc 1958; 54: 1754-7.

26 Aukland K, Reed R K. Interstitial-lymphatic mechanisms inthe control of extracellular fluid volume. PhysiolRev 1993;73: 1-78.

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29 Levick J R, McDonald J N. Ultrastructure of transportpathways in stressed synovium of the knee inanaesthetized rabbits. J Physiol 1989; 419: 493-508.

30 McDonald J N, Levick J R. Hyaluronan reduces fluid escaperate from joints disparately from its effect on fluidity. ExpPhysiol 1994; 79: 103-6.

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