Capillary Filtration in the Small Intestine of the Dog By Paul C. Johnson, Ph.D., and Kenneth M. Hanson, Ph.D. Downloaded from http://circres.ahajournals.org/ by guest on June 14, 2017 ABSTRACT The purpose of these studies was to determine the capillary filtration coefficient of the small intestine of anesthetized dogs by the gravimetric technique. Capillary filtration was produced by elevating venous pressure. Filtration rate increased as venous pressure was increased but the relation between the two was not proportional. At venous pressures greater than 10 mm Hg, filtration rate tended to reach a limit. As a consequence, the filtration coefficient decreased at higher pressures. Mean capillary pressure was estimated by the isogravimetric technique. When capillary pressure was 10 mm Hg, the filtration coefficient averaged 0.37 ml/min per 100 g and decreased to 0.11 when capillary pressure was elevated to 20 mm Hg. The reduction in filtration coefficient at high capillary pressures was apparently due to closure of precapillary sphincters. ADDITIONAL KEY WORDS capillary filtration coefficient isogravimetric technique intestinal capillary pressure precapillary sphincters peripheral circulation capillary function • The permeability of intestinal capillaries appears to be greater than that of certain other capillary beds. The protein concentration of lymph flowing from the intestine is higher than that from skeletal muscle and cervical areas (1) and large molecules such as dextran and albumin cross the capillaries of the intestine more readily than those of skeletal muscle and brain (2). The filtration constant in individual capillaries of the frog mesentery (3) is about 20 times greater than that calculated for mammalian skeletal muscle (4). The present studies were undertaken to obtain information on the intestinal capillaries of a mammalian species by the gravimetric technique previously employed by Pappen- From the Department of Physiology, Indiana University School of Medicine, Indianapolis, Indiana. This work was supported in part by a grant-in-aid from the American Heart Association and by grants (HE 05200-05 and AM 06221-03) from the U. S. Public Health Service. Facilities provided in part by a grant (H-6308) from the National Heart Institute, U. S. Public Health Service. A preliminary report of the work was given at the XXII International Congress, International Union of Physiological Sciences (Vol. II, 1962, p. 410 and Physiologist 7: 169, 1964). Accepted for publication July 7, 1966. 766 heimer and Soto-Rivera (4) for capillary filtration studies in the hind limb. Methods Twenty dogs, anesthetized with 30 mg/kg sodium pentobarbital given intravenously, were used in this study. The abdominal wall was opened in the midline and a loop of small intestine was exteriorized. The bowel was completely covered with gauze, moistened widi physiological saline solution and kept at 37°C with a heat lamp. A segment of intestine having a single artery and vein was selected, and the vessels were dissected free from surrounding tissue for a length of 1 to 2 cm. Adjacent mesenteric tissue was doubly ligated and cut. Special care was taken to tie all lymphatic vessels. No evidence was seen in any experiment of lymphatic drainage from the vascular pedicle. The remainder of the mesentery was cut with a cautery, small vessels being doubly ligated before cutting. An incision was made in each end of the intestinal segment, and a 4- to 5-cm length of Tygon tubing was inserted into the lumen and tied in place. All tissue connections between the experimental preparation and the remainder of the intestine were then severed. The mesenteric artery and vein were both cannulated. Prior to cannulation the animal was given a priming dose of 2.5 mg/kg heparin, intravenously, followed by a sustaining dose of 1 mg/ kg every 30 min. The arterial perfusion circuit consisted of a length of polyethylene tubing with a T-connector of Pleriglas interposed near the Circulation Rtsircb, Vol. XIX, Oclottr 1966 767 INTESTINAL FILTRATION Downloaded from http://circres.ahajournals.org/ by guest on June 14, 2017 mesenteric artery. The side branch of the T was connected to a Statham strain gauge and pressure recorded on an Offner type R oscillograph. The other end of the arterial circuit was inserted into a femoral artery. Vascular reactivity of the intestine is best maintained if new polyethylene tubing is used in each experiment (5), a precaution which was followed here. The venous circuit consisted of a polyethylene cannula which was connected to JS-inch silicone tubing. Polyethylene T-connectors were used in the venous circuit for recording venous pressure and for a venous pressure reservoir. The outflow orifice of the venous circuit was placed above a 100-ml collecting reservoir connected to the jugular vein. Adjustment of the orifice level enabled us to set intestinal venous pressure at any desired value. During the zero flow-isogravimetric procedure (6), venous pressure was adjusted with the venous pressure reservoir mentioned above. The intestinal loop was suspended from a beam balance to record weight changes. To prevent dehydration, the intestinal segment was surrounded with a thin layer of moist gauze, covered with a plastic wrap, and mounted in a plastic box. The intestine was mounted in the box in an inverted U fashion, supported by a polyethylenecovered wire inserted through the lumen. This position assured free drainage of intestinal secretions or blood from the intestine. Several strips of moistened gauze were attached to the ends of the intestinal segment to facilitate fluid drainage. The bottom of the box was open to permit free drainage of secretions. In addition, the animal was given 1 mg/kg propantheline bromide (Probanthine, Searle) to minimize intestinal secretion and spontaneous peristaltic activity. The beam balance from which the intestinal loop was suspended was connected to a linear variable differential transformer which sensed changes in beam position as weight was altered (5). The sensitivity of the system was adjusted so that a weight change of 1 g corresponded to a deflection of 20 mm to 30 mm on the oscillograph. Blood flow was measured periodically at the outflow orifice of the venous system with a graduated cylinder and stop watch. In some experiments flow was also measured with an orifice flowmeter. Measurement of Capillary Filtration. When venous pressure is elevated, intestinal weight increases rapidly at first, but the rate of gain gradually diminishes as the weight reaches a new level as shown in Figure 1. A typical example showing the exponential gain of weight is shown in Figure 2. Two distinct logarithmic components are apparent, a rapid initial phase and a slow secondary phase. (See also ref. 7.) It has been shown CircuUtkm Rti—rtb, Vol. XIX, Oaobir 1966 ARTERIAL PRESSURE (nun Hi) "T i VEMOCS PRESSURE (nun H j ) f _f\—3 INCREASE T SENsrnvmr WEIGHT CHANGE (Gran*) l i :T BLOOD FLOW (ml/mln/100 t ) FLOWMETER TURNED OFF 40 10- : FIGURE 1 Record of intestinal weight change with sustained elevation of venous pressure. Note that the rate of weight increase gradually decreases until the weight reaches a new equilibrium level. At the right side of the figure is the record obtained during the isogravimetric procedure. Arterial and venous circuits are occluded and the venous system is opened to a reservoir. Venous pressure is adjusted by manipulation of the reservoir level until a constant weight is obtained. Weight of intestinal loop = 56 g. previously by measurement of arteriovenous protein differences (5) that the slow phase is due to capillary filtration. The rapid phase appears to represent increase of blood volume. It is probable that reduction of filtration rate with time is due to dilution of extravascular protein and reduction of colloid osmotic pressure outside the capillaries (6). We were most interested in determining the filtration rate shortly after venous pressure elevation, when the rate is maximal. The magnitude of the secondary weight change during the first 30 sec of venous pressure elevation was used for this purpose. This value could be determined with precision from a semilog plot of the weight change (Fig. 2). Capillary filtration coefficient is calculated as filtration rate change in capillary pressure Measurement of Mean Capillary Pressure. We have noted in previous studies (6) that the intestine will eventually attain a constant weight at any venous pressure between 0 and 18 mm Hg. Because of this feature, mean capillary pressure could be determined at a variety of venous pressures by the zero flow-isogravimetric technique. This is a modification of the original isogravimetric technique described by Pappenheimer and Soto-Rivera (4). The original technique JOHNSON, HANSON 768 Downloaded from http://circres.ahajournals.org/ by guest on June 14, 2017 o.i T I M E I N M I N U T E S FIGURE Semi-log plot of the.change in intestinal weight shown in Figure 1. Note the rapid and slow phases of weight change. The initial 30-sec period of the slow phase is taken as the initial filtration rate. cannot be applied to the intestine directly because reduction of arterial pressure activates an arteriovenous reflex in this vascular bed (5, 8). To determine capillary pressure by the zero flowisogravimetric technique, arterial inflow and venous outflow of the isogravimetric intestine are occluded simultaneously. Capillary pressure is assumed to be equal to venous pressure at this time, since flow is zero. Venous pressure is adjusted by a reservoir until a level is found at which the weight stabilizes—which is taken to be isogravimetric capillary pressure. A record which illustrates the procedure is shown at the right side of Figure 1. Details of the technique have been described previously (6). For the hind limb we have compared the zero flow technique and the original method described by Pappenheimer and Soto-Rivera and found that they yield the same value for mean capillary pressure (9). Experimental Procedure. Arterial and venous pressure and weight were recorded continuously. The zero reference level for arterial and venous pressure was the center of mass of the intestinal loop. The mean capillary pressure was measured several times at 0 mm Hg venous pressure with the zero flow-isogravimetric technique. Venous pressure was elevated by an increment of 3 to 15 mm Hg and maintained until the weight became stable. This required 2 to 3 min at low venous pressures and as much as 30 min at high venous pressures. Blood flow was measured frequently during elevated venous pressure. When weight was stable, capillary pressure was again determined by the method described above. Venous pressure was returned to the zero level after capillary pressure was determined. Results The relation between venous pressure and initial filtration rate for 20 preparations is shown in Figure 3. It is evident that the filtration rate of the intestinal capillaries depends on the magnitude of the increase in pressure. However, it is also obvious that in the intestine there is not a simple proportionality between these two factors. In most intestinal loops the filtration rate approached CinmUtio* Ru-rcb, Vol. XIX, Octcitr 1966 INTESTINAL FILTRATION 769 Downloaded from http://circres.ahajournals.org/ by guest on June 14, 2017 10.0 5.0 15.0 P T (mm Hg) FIGURE 3 Initial filtration rate as a function of venous pressure (Pv). Data are means of pooled results from 20 preparations. Vertical lines represent ± ISD. a maximum at higher venous pressures. (Figure 4, for example, shows a single preparation in which this phenomenon was pronounced.) In only 3 of the 20 preparations did we find an apparent linear relation between filtration rate and venous pressure, and in those preparations the filtration rate was below normal for the group, at all but the highest pressures. Figure 5 illustrates the relation between capillary pressure and calculated capillary filtration coefficient for all preparations. The dependence of filtration coefficient upon capillary pressure as implied in Figure 3 is evident in a striking manner—decreasing from an average of 0.37 at a capillary pressure of 10 mm Hg to 0.11 at 20 mm Hg. Measurements were not made above 23 mm Hg capillary pressure because the intestine did not become isogravimetric in a reasonable period of time (30 to 40 min) above this pressure. Intestinal filtration rate tends to approach a limit at higher venous pressure. Since the filtration rate in the intestine is quite high, the blood flow could be a limiting factor. It is possible that because of the ease of water movement across the capillary wall, plasma CircuUtioo Rnmrcb, Vol. XIX, Oaoktr 1966 protein concentration and colloid osmotic pressure may increase in the capillaries. The importance of this factor may be appreciated from Table 1, where plasma flow and initial filtration rate were used to calculate the increase in colloid osmotic pressure between the arterial and venous ends of the capillary. It is apparent that the magnitude of this increase is a substantial fraction (50 to 80%) of the increase in capillary hydrostatic pressure. However, it should also be noted that the change in colloid osmotic pressure in the capillaries was proportionately greater with small increases in hydrostatic pressure, ruling out this factor as being responsible for the reduction in filtration coefficient at higher capillary pressures. Nonetheless, the magnitude of this factor is such that its effect on intestinal filtration cannot be ignored. In calculating filtration coefficients for Figure 4, it was assumed that the colloid osmotic pressure of the plasma remained constant. Since this is not so, it is obvious that the apparent filtration coefficient which we have calculated deviates considerably from the true value. To correct the filtration coefficient for this effect, the mean increase in 770 JOHNSON, HANSON "2 0.40 • - 8 SE C 0.30 - - E 0.20 • • 0.10 u • • 1.501.25 • P8 1.000.75/ Downloaded from http://circres.ahajournals.org/ by guest on June 14, 2017 0.50" 0.250- - / r / M 10 - \ 1 12 Pc 1 1 14 16 (mm Hg) 18 1 20 FIGURE 4 Initial filtration rate and filtration coefficient as a function of capillary presure (Pc). Note the nonlinear relationship between capillary pressure and initial filtration rate. In most experiments, initial filtration rate tended to reach a maximal value at higher capillary pressures. Data from 1 preparation. colloid osmotic pressure must be determined. If all capillaries were structurally similar, with comparable hydrostatic pressures along their length and comparable flow rates, it would be possible to make some estimate of the mean colloidal osmotic pressure in the plasma from knowledge of the rate of filtration and arterial plasma protein concentration. However, in recent studies of flow, in single capillaries of the mesentery we have found that flow velocities vary widely both temporally and spatially (Johnson and Wayland, unpublished results). Since it is possible that such variations may occur in other portions of the intestinal capillary bed as well, the necessary assumption of uniformity is probably not satisfied. Discussion These studies show that the capillary filtration coefficient of the mammalian intestine is considerably higher than that of skeletal muscle (4). This finding is not surprising in light of the relatively high permeability to large molecules that these capillaries possess (2). The true filtration coefficient must be considerably higher than the apparent value obtained in these studies, since we calculate that the colloidal osmotic pressure increases by as much as 85% of the increment in capillary pressure (Table 1). Mayerson et al. (2) have studied permeability of capillaries in the intestine and the cervical area to large lipid-insoluble molecules. While quantitative comparison of permeabilities is difficult, the data indicate that labelled serum albumin reaches its maximum concentration about seven times faster in the intestinal lymph than it does in the cervical lymph. A parallelism between movement of water and large molecules is evident, but the mechanisms may be different. It has been suggested (2, 10) that large lipid-insoluble molecules may move across some capillary membranes by a process of cytopempsis. The capillaries of the intestine are known to be structurally and functionally different from those of certain other organs. Bennett and co-workers (11) have found that intestinal capillary endothelial cells contain nuCircmUtiom Rilurcb, Vol. XIX, Oclobtr 1966 INTESTINAL FILTRATION 771 0.60 0. 4 0 - - 0.35- • 0. 3 0 - • 0. J5- " o.ao- - Downloaded from http://circres.ahajournals.org/ by guest on June 14, 2017 0.15" • 0.10-- 0. 05 - • 0 8 10 12 14 16 18 CAPILLART PRESSURE (mm Hg) 20 FIGURE 5 Relation between capillary pressure and capillary filtration coefficient in 20 preparations. Open circles represent average values. TABLE 1 Effect of Increase in Mean Capillary Pressure (AP on Plasma Colloid Osmotic Pressure at Venous End of Capillary Group i u IU IV V (mm Hg) FUtrltion Rite (ml/min per 100 g) FUtrition PUirru Flow 2.7 3.5 4.9 6.1 8.2 0.82 0.64 0.90 0.77 1.06 0.086 0.076 0.114 0.124 0.170 Eitimited Rate (mm Hg) 2.3 2.0 3.2 3.5 5.0 Data from 20 preparations divided into 5 groups according to magnitude of increase in capillary pressure. The increase in plasma colloid osmotic pressure at the venous end of the capillary is calculated from the ratio of filtration rate to plasma flow, assuming the capillary filtrate is virtually protein free and that the relation between colloid osmotic pressure and protein concentration is as given by Landis and Pappenheimer (18). merous large fenestrations which they estimate to be 300 A to 600 A in diameter. These passages would permit movement of considerable quantities of whole plasma by bulk flow. If this is the case, what structure constitutes the filtration barrier? One possibility is the conCircuUtion Risetrcb, Vol. XIX, Octoitr 1966 tinuous basement membrane which surrounds the capillary endothelium. The basement membrane consists of a fine network of fibers which could act as a sieve and restrict the movements of protein across it. The reduction in apparent filtration coeffi- 772 JOHNSON, HANSON Downloaded from http://circres.ahajournals.org/ by guest on June 14, 2017 cient at higher venous pressures must be a consequence of the increased intravascular pressure or of the filtration rate itself. With respect to the latter possibility, there are two mechanisms by which filtration rate could be self-limiting. First, if sieving of plasma protein occurs in the intestine during filtration, the protein will exert a counter pressure which opposesfiltration.This phenomenon has been investigated by Pappenheimer and asosciates (12) and by Renkin (13). Renkin found, both theoretically and experimentally, that a hyperbolic relationship exists between filtration rate and the degree of sieving. From those studies it is apparent that sieving would cause the curve relating filtration rate and venous pressure to be convex to the pressure axis at low venous pressures. At high venous pressures this curve would approach a straight line which has a positive intercept on the pressure axis. This is obviously not the form of the curve which fits the data (see Fig. 3). Second, if the rate of filtration exceeded the diffusion rate of protein in the interstitial fluid, local changes in protein concentration outside the capillary wall could occur. This relationship may be expressed as: C2 = where, C2 is the interstitial protein concentration adjacent to the capillary wall, C3 is the protein concentration in the interstitial fluid pool, v is filtration rate, L is the diffusion distance, and D is free diffusion coefficient of protein in interstitial fluid. If this effect influences filtration, it will also take the form described above for the sieving effect. Thus it appears that these two factors are probably not the cause of the filtration plateau. The most likely remaining possibility is that effective capillary surface area decreases. We have previously shown (14) that resistance in the precapillary segment of the vasculature increases when venous pressure is elevated. In recent studies (Johnson and Wayland, unpublished results), we have found that the precapillary sphincters in the mesentery constrict when venous pressure is elevated. In some capillaries this effect is so profound that it causes complete stoppage of flow. Such an effect could, in effect, reduce available capillary surface and limit filtration rate. Mellander et al. observed a large reduction in filtration coefficient in the foot when their subjects were upright as compared with the recumbent attitude (15). They attribute this behavior to closure of precapillary sphincters. This behavior of the capillary bed and its control elements represents a type of autoregulation, in this instance, of capillary filtration. It is apparent from these studies that the plasma colloid osmotic pressure in the intestinal capillaries may be greatly altered during periods of filtration. The magnitude of this effect obviously depends upon blood flow rate. In our studies control blood flow was 20 to 30 ml/min per 100 g. In other studies it has been reported to be 20 to 50 ml/min per 100 g (16). The effect of plasma protein changes on filtration rate has been recognized as important in glomerular filtration, but it has generally not been considered in other vascular beds. Correction for this effect would be small in the case of skeletal muscle capillaries, where the filtration rate appears to be, at most, 2 to 3* of the plasma flow (10). Folkow et al. (17) have studied the effect of isopropylarterenol on capillary filtration in the cat intestine. They found that the capillary filtration coefficient increased, reaching a maximal value of 0.44 ml/min per mm Hg per 100 g tissue (range 0.56 to 0.28) at the highest flows (250 ml/min per 100 g per 100 mm Hg). Since their flow rates were very high, one would expect that the vasculature, including the precapillary sphincters, would be maximally dilated and all capillaries would be perfused. Moreover, the change in colloid osmotic pressure with filtration at these flow rates would be expected to be minimal. However, there are several differences in technique which would produce quantitative differences in measured filtration rate. First, CtrcuUtum Runrcb. Vol. XIX, Octottr 1966 773 INTESTINAL FILTRATION Downloaded from http://circres.ahajournals.org/ by guest on June 14, 2017 Folkow's preparation contained 25 to 35$ (by volume) of lymph glands; these were excluded from our preparation. Folkow found that the filtration coeflBcient of these glands was only 0.02 to 0.04. Second, Folkow assumed that 85* of the venous pressure change was transmitted to the capillaries, whereas by experimentation we have found that, on the average, only 62% is transmitted (6). It should also be mentioned that Folkow used the slope of the slow change (filtration) in the first minute, while we have used the first 30 sec of this process. Since the rate decreases exponentially, Folkow's values should be slightly less than our own on this basis also. If Folkow's data are computed on the same basis as our studies, his average maximal value becomes 0.81 (range 1.03 to 0.52). The control blood flow in Folkow's study was 40 to 60 ml/min per 100 g, whereas ours was approximately 20 to 30 ml/min per 100 g. Since in determining filtration coefficient they elevated venous pressure by 7 to 10 mm Hg, it may be safely assumed that at this high blood flow the capillary pressure was 15 to 20 mm Hg. Computing their data on filtration coefficient in the manner indicated above, we obtain a value of about 0.22, which corresponds with our value of 0.10 to 0.18 in the same capillary pressure range. This does not take into account possible changes in plasma protein concentration in the capillary in their study. In view of the higher blood flow in the denervated cat intestine, this effect would be expected to be smaller than in our preparation. References 1. DRINKEH, C. K., AND FIELD, M. E.: Lymphatics, Lymph and Tissue Fluid. Baltimore, Williams & Wilkins, 1933, pp. 69-72. 2. MAYEBSON, H. S., WOLFRAM, C. C , SHIHLEY, H. H., JR., AND WASSERMAN, K.: Regional differences in capillary permeability. Am. J. Physiol. 198: 155, 1960. 3. LANDIS, E. M.: Microinjection studies of capillary permeability. II. The relation between capillary pressure and the rate at which fluid passes through the walls of single capillaries. Am. J. Physiol. 82: 217, 1927. 4. PAPPENHEIMER, J. R., AND SOTO-RIVERA, A.: Ef- fective osmotic pressure of the plasma proteins and other quantities associated with the Circulation Rtsurcb, Vol. XIX, Oaobn 1966 capillary circulation in the hindJimbs of cats and dogs. Am. J. Physiol. 152: 471, 1948. 5. JOHNSON', P. C , AND HANSON, K. M.: Effect of arterial pressure on arterial and venous resistance of intestine. J. Appl. Physiol. 17: 503, 1962. 6. JOHNSON, P. C : Effect of venous pressure on mean capillary pressure and vascular resistance in the intestine. Circulation Res. 16: 294, 1965. 7. JOHNSON, P. C , AND HANSON, K. M.: Relation between venous pressure and blood volume in the intestine. Am. J. Physiol. 204: 31, 1963. 8. HANSON, K. M., AND JOHNSON, P. C : Evidence for local arteriovenous reflex in intestine. J. Appl. Physiol. 17: 509, 1962. 9. HANSON, K. M., AND JOHNSON, P. C : Vascular resistance and arterial pressure in autoperfused dog hindlimb. Am. J. Physiol. 203: 615, 1962. 10. PALADE, G. E.: Transport in quanta across the endothelium of blood capillaries. Anat. Record 116: 254, 1960. 11. BENNETT, H. S., LUFT, J. R., AND HAMPTON, J. C : Morphological classification of vertebrate blood capillaries. Am. J. Physiol. 196: 381, 1959. 12. PAPPENHEIMER, J. R., RENKIN, E. M., AND BOR- RERO, L. M.: Filtration, diffusion and molecular sieving through peripheral capillary membranes. A contribution to the pore theory of capillary permeability. Am. J. Physiol. 167: 13, 1951. 13. RENKTN, E. M.: Filtration, diffusion, and molecular sieving through porous cellulose membranes. J. Cen. Physiol. 38: 225, 1954. 14. JOHNSON, P. C : Myogenic nature of increase in intestinal vascular resistance with venous pressure elevation. Circulation Res. 6: 992, 1959. 15. MELLANDER, S., OBERC, B., AND ODELRAM, H.: Vascular adjustments to increased transmural pressure in cat and man with special reference to shifts in capillary fluid transfer. Acta Physiol. Scand. 61: 34, 1964. 16. GRIM, E.: The flow of blood in the mesenteric vessels. In Handbook of Physiology, ed. by W. F. Hamilton and P. Dow, Circulation, sec. 2: vol. 2, Washington, D. C , Am. Physiol. Soc., 1963, p. 1442. 17. FOLKOW, B., LUNDCREN, O., AND WALLENTTN, I.: Studies on the relationship between flow resistance, capillary filtration coefficient and regional blood volume in the intestine of the cat. Acta Physiol. Scand. 57: 270, 1963. 18. LANDIS, E. M., AND PAPPENHEIMER, J. R.: Ex- change of substances through the capillary walls. In Handbook of Physiology, ed. by W. F. Hamilton and P. Dow, Circulation, sec. 2, vol. 2, Washington, D. C , Am. Physiol. Soc., 1963, p. 974. Capillary Filtration in the Small Intestine of the Dog PAUL C. JOHNSON and KENNETH M. HANSON Downloaded from http://circres.ahajournals.org/ by guest on June 14, 2017 Circ Res. 1966;19:766-773 doi: 10.1161/01.RES.19.4.766 Circulation Research is published by the American Heart Association, 7272 Greenville Avenue, Dallas, TX 75231 Copyright © 1966 American Heart Association, Inc. All rights reserved. Print ISSN: 0009-7330. Online ISSN: 1524-4571 The online version of this article, along with updated information and services, is located on the World Wide Web at: http://circres.ahajournals.org/content/19/4/766 Permissions: Requests for permissions to reproduce figures, tables, or portions of articles originally published in Circulation Research can be obtained via RightsLink, a service of the Copyright Clearance Center, not the Editorial Office. Once the online version of the published article for which permission is being requested is located, click Request Permissions in the middle column of the Web page under Services. 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