Brief Review Renal Resistive Index A Case of Mistaken Identity W. Charles O’Neill

O

f all the measured parameters in nephrology, none is more misunderstood and misused than the renal resistive index (RI). Although it is used widely as a marker of renal pathology based on the assumption that structural changes in the kidney alter renal vascular resistance, the sensitivity and specificity of RI for this purpose are questionable,1 and its clinical use remains uncertain. Both theoretical and experimental analyses of the RI can explain why this is the case. RI is typically measured by Doppler sonography in an intrarenal artery and is the difference between the peak systolic and enddiastolic blood velocities divided by the peak systolic velocity.

RI =

Vsyst − Vdiast Vsyst

(1)

It was first introduced in the 1950s and its naming was unfortunate because it is actually a measure of pulsatility. In fact, the closely related index in which the denominator is the mean velocity rather than the peak systolic velocity is termed the pulsatility index. Ironically, renal vascular resistance is the 1 hemodynamic parameter that has the least if any influence on RI. A little mathematics will illustrate this point. Rearranging Equation 1 gives

RI = 1 −

Vdiast (2) Vsyst

In the simplest analysis, velocity equals flow divided by lumen area (LA), and flow equals the difference in blood pressure (ΔP) divided by vascular resistance (R), yielding V =

∆P (3) R × LA

Equation 2 then becomes

 ∆P   R × LA  diast (4) RI = 1 −   ∆P   R × LA  syst

Although pressure and lumen area clearly change during systole and diastole, resistance should not. Changes in pressure and flow can alter renal vascular resistance through the myogenic response and flow-mediated vasodilation, respectively, but the time constants for these responses are far greater than the duration of the cardiac cycle.2,3 Thus, renal vascular

resistance does not vary between consecutive systoles and diastoles and Equation 4 becomes  ∆P   LA  diast  ∆P   ∆P  RI = 1 −  or 1 −  diast ×  syst LA   ∆P    LA  syst  LA 

(5)

and RI is independent of vascular resistance. Stated more simply, the proportional effect of resistance on blood flow should not vary with pressure and should be the same in systole and diastole. This independence of RI on resistance has been demonstrated in simple artificial circuits.4,5 However, this basic analysis does not account for nonuniformity of blood velocity and, more importantly, downstream vascular properties such as compliance or capacitance. The more compliant the distal arteries are, the more flow they can accommodate during systole compared with diastole. When the arterial wall recoils during diastole, resistance determines how much of the extra blood they contain will move forward. Thus, when downstream properties (representing vascular impedance) are incorporated into mathematical or physical models, blood flow can become dependent on resistance.4,5 Although this has been corroborated during postischemic hyperemia in the brachial artery6 and hypercapnea in neonatal cerebral arteries,7 the dependence of RI on vascular resistance varies considerably among vascular beds. In rabbit kidneys perfused ex vivo with increasing concentrations of phenylephrine,8 there was only a slight increase in RI despite a broad range of resistance not observed in vivo (Figure 1) and the inability of vasoconstrictors or vasodilators to appropriately alter RI has also been observed in the uterine,9 carotid,10 and retinal11 circulations. In the latter 2, vasoconstriction actually lowered RI and a negative correlation between RI and renal vascular resistance has also been demonstrated in transplanted kidneys.12 The inconsistent relationship between RI and vascular resistance is undoubtedly attributable to the other factors that determine RI, which becomes clear on rearrangement of Equation 5:



 ∆P   LAsyst  RI = 1 −  diast  ×   or  ∆Psyst   LAdiast   ∆P − P0   LAsyst  1 −  diast ×  (6)  ∆Psyst − P0   LAdiast 

Received July 2, 2014; first decision July 19, 2014; revision accepted August 4, 2014. From the Renal Division, Department of Medicine, Emory University School of Medicine, Atlanta, GA. Correspondence to W. Charles O’Neill, Renal Division WMB 338, Emory University, 1639 Pierce Dr, Atlanta, GA 30322. E-mail [email protected] (Hypertension. 2014;64:915-917.) © 2014 American Heart Association, Inc. Hypertension is available at http://hyper.ahajournals.org

DOI: 10.1161/HYPERTENSIONAHA.114.04183

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916  Hypertension  November 2014 of lumen area in systole and diastole at the site of insonation, a function of vascular compliance. Because downstream compliance also affects pulsatile flow, impedance also becomes a determinant as well,9 according to Equation 7:  Pulse flow   Pulse pressure   Resistance   Mean flow  ≈  Mean pressure  ×  Impedance  (7)    

Figure 1. Effect of renal vascular resistance on resistive index in rabbit kidneys perfused ex vivo. Each set of symbols and line represents a different kidney. Adapted from Tublin et al8 with permission of the publisher. Copyright © 1999, Radiological Society of North America.

Equation 6 identifies 3 parameters that determine RI: (1) the ratio of diastolic to systolic blood pressure, which is an inverse function of pulse pressure; (2) P0, a combination of interstitial pressure and venous pressure, essentially representing the renal capillary wedge pressure; and (3) the ratio

Figure 2. Mortality of renal transplant recipients with renal or splenic resistive indices (RIs) above or below the median. Adapted from Seiler et al24 with permission of the publisher. Copyright © 2012, Oxford University Press.

Because essentially all the pressure drop in the kidney occurs at the afferent arterioles and beyond, central pressures are transmitted undampened to the renal arteries13 unless there is disease in the renal artery (see below). Thus, Psyst and Pdiast represent systolic and diastolic blood pressure with the ratio being an indication of pulsatility or pulse pressure. The effect of tissue and venous pressure (P0) is well described, as RI was originally applied to the diagnosis of urinary obstruction.1 Experimentally, hydronephrosis increases RI14 as does a compressing hematoma and even direct pressure from the ultrasound probe.15 Increased P0 is the likely explanation for the increased RI that can be observed in renal vein thrombosis and in acute inflammation or injury. In most cases, P0 is not elevated and RI is determined primarily by the other parameters. Thus, RI varies directly with pulse pressure and inversely with vascular compliance (or directly with vascular stiffness or impedance). Pulse pressure is the principal determinant and is influenced primarily by extrarenal factors, specifically cardiac function and systemic arterial compliance. Again, clinical and experimental data support the theoretical analysis. In the aforementioned study of rabbit kidneys perfused with pulsatile flow ex vivo, there was an essentially perfect correlation between RI and pulse pressure,8 indicating that almost all the variability in RI was explained by pulse pressure. Hypotension was noted to increase RI in auto-transplanted kidneys in dogs,15 presumably because of increased pulse pressure. In a study of 133 subjects with hypertension,16 highly significant and strong correlations were found between renal RI and aortic pulse pressure (r=0.62), incident pressure wave (r=0.55), augmented pressure (r=0.49), and aortic pulse wave velocity (r=0.51). Heart rate can also affect RI independent of other hemodymaics, because of differences in diastolic duration, and this inverse relationship was nicely demonstrated in a study of 8 patients with cardiac pacemakers in whom heart rate could be varied directly.17 Disease in the renal arteries can also alter RI by virtue of decreasing pulse pressure. Furthermore, distal vascular disease that often coexists in these patients could reduce compliance and also increase RI. This is supported by a biopsy study showing that only arteriolosclerosis out of all histological parameters independently correlated with RI.18 Despite the lack of correlation with glomerular, tubular, or interstitial histology, RI could provide prognostic information based on the presence of intrarenal arteriosclerosis. However, RI does not predict outcomes after renal revascularization despite initial, promising results.19 Although compliance of intrarenal arteries influences RI, changes in these vessels often reflect a similar process throughout the systemic vasculature that can be the result of altered central hemodynamics associated with aging.13,20 Thus, differentiating the role of renovascular factors from the role of systemic vascular factors in the prognostic information provided by renal RI can be problematic.

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O’Neill  Renal Resistive Index  917 This potential confounding is avoided in studies in recipients of kidney transplants, which are particularly illustrative. Pulse pressure, the major determinant of RI, is clearly recipient specific and although the interlobular arteries are clearly donor specific, their compliance is likely influenced by systemic hemodynamics. In a study of 110 recipients of kidney transplants,21 RI correlated with the age of the recipient but not the donor, again consistent with the dependence of RI on systemic rather than intrarenal factors. Furthermore, RI correlated with pulse pressure but not parameters of allograft function. A subsequent study of 105 patients found correlations between allograft RI and carotid intimalmedia thickness or ankle-brachial index in the recipient but not allograft function.22 A recent study of 321 transplant recipients confirmed that RI correlates with recipient age, but not donor age, and with recipient pulse pressure.23 There was also no correlation between RI and histopathology obtained from protocol biopsies. A high RI correlated with recipient death but not with allograft outcomes, which was also observed in a previous study.24 These results in transplant recipients are all entirely consistent with RI being a reflection primarily of the properties of the systemic vasculature rather than intrinsic renal disease. If this is indeed the case, then renal RI should correlate with RI measured in other organs and the clinical significance should be similar. This has been examined in patients with chronic kidney disease and in transplant recipients (Figure 2), in whom renal RI correlated with splenic RI.24,25 In patients with chronic kidney disease, renal and splenic RI showed similar correlations with a host of cardiovascular parameters including carotid intimal-medial thickness and left ventricular hypertrophy.25 The authors proposed the difference between renal and splenic RI as a more specific marker of renal disease by accounting for systemic effects on renal RI,25 but the correlation with estimated glomerular filtration rate was weak (0.19). The dependence on systemic vascular parameters explains the poor correlation with renal histology but at the same time explains how RI can predict clinical outcomes. Although this prognostication could be directly related to the renal vasculature independent of systemic risk factors,26,27 the tight correlation between RI and systemic hemodynamics16 and the fact that renal and splenic RI showed similar correlations with mortality and allograft outcomes in transplant recipients24 suggest that it is explained mostly by extrarenal hemodynamics. Both theoretical considerations and data from experimental and clinical studies clearly demonstrate that renal RI is a misnomer and is instead an index of pulsatility and vascular compliance that, as suggested by others,5 might be more appropriately termed impedance index. Even if there were some effects of renal pathology on RI, the strong influence of extrarenal factors precludes it from ever being a specific test of renal disease. Although RI may provide prognostic information, this is related to vascular disease that is often systemic and assessable by studying other arterial beds.

Disclosures None.

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2. Just A. Mechanisms of renal blood flow autoregulation: dynamics and contributions. Am J Physiol Regul Integr Comp Physiol. 2007;292:R1–R17. 3. Black MA, Cable NT, Thijssen DH, Green DJ. Importance of measuring the time course of flow-mediated dilatation in humans. Hypertension. 2008;51:203–210. 4. Gosling RG, Lo PT, Taylor MG. Interpretation of pulsatility index in feeder arteries to low-impedance vascular beds. Ultrasound Obstet Gynecol. 1991;1:175–179. 5. Bude RO, Rubin JM. Relationship between the resistive index and vascular compliance and resistance. Radiology. 1999;211:411–417. 6. Legarth J, Nolsoe C. Doppler blood velocity waveforms and the relation to peripheral resistance in the brachial artery. J Ultrasound Med. 1990;9:449–453. 7. Archer LN, Evans DH, Paton JY, Levene MI. Controlled hypercapnia and neonatal cerebral artery Doppler ultrasound waveforms. Pediatr Res. 1986;20:218–221. 8. Tublin ME, Tessler FN, Murphy ME. Correlation between renal vascular resistance, pulse pressure, and the resistive index in isolated perfused rabbit kidneys. Radiology. 1999;213:258–264. 9. Saunders HM, Burns PN, Needleman L, Liu JB, Boston R, Wortman JA, Chan L. Hemodynamic factors affecting uterine artery Doppler waveform pulsatility in sheep. J Ultrasound Med. 1998;17:357–368. 10. Loquet P, Broughton Pipkin F, Symonds EM, Rubin PC. The influence of angiotensin II-induced vasoconstriction on common carotid artery blood flow and velocity-time profiles in normal women. Ultrasound Obstet Gynecol. 1991;1:171–174. 11. Polska E, Kircher K, Ehrlich P, Vecsei PV, Schmetterer L. RI in central retinal artery as assessed by CDI does not correspond to retinal vascular resistance. Am J Physiol Heart Circ Physiol. 2001;280:H1442–H1447. 12. Bruno S, Ferrari S, Remuzzi G, Ruggenenti P. Doppler ultrasonography in posttransplant renal artery stenosis: a reliable tool for assessing effectiveness of revascularization? Transplantation. 2003;76:147–153. 13. O’Rourke MF, Hashimoto J. Mechanical factors in arterial aging: a clinical perspective. J Am Coll Cardiol. 2007;50:1–13. 14. Murphy ME, Tublin ME. Understanding the Doppler RI: impact of renal arterial distensibility on the RI in a hydronephrotic ex vivo rabbit kidney model. J Ultrasound Med. 2000;19:303–314. 15. Pozniak MA, Kelcz F, Stratta RJ, Oberley TD. Extraneous factors affecting resistive index. Invest Radiol. 1988;23:899–904. 16. Hashimoto J, Ito S. Central pulse pressure and aortic stiffness determine renal hemodynamics: pathophysiological implication for microalbuminuria in hypertension. Hypertension. 2011;58:839–846. 17. Mostbeck GH, Gössinger HD, Mallek R, Siostrzonek P, Schneider B, Tscholakoff D. Effect of heart rate on Doppler measurements of resistive index in renal arteries. Radiology. 1990;175:511–513. 18. Ikee R, Kobayashi S, Hemmi N, Imakiire T, Kikuchi Y, Moriya H, Suzuki S, Miura S. Correlation between the resistive index by Doppler ultrasound and kidney function and histology. Am J Kidney Dis. 2005;46:603–609. 19. Zeller T. Renal artery stenosis: epidemiology, clinical manifestation, and percutaneous endovascular therapy. J Interv Cardiol. 2005;18:497–506. 20. Mitchell GF. Effects of central arterial aging on the structure and function of the peripheral vasculature: implications for end-organ damage. J Appl Physiol (1985). 2008;105:1652–1660. 21. Krumme B, Grotz W, Kirste G, Schollmeyer P, Rump LC. Determinants of intrarenal Doppler indices in stable renal allografts. J Am Soc Nephrol. 1997;8:813–816. 22. Heine GH, Gerhart MK, Ulrich C, Köhler H, Girndt M. Renal Doppler resistance indices are associated with systemic atherosclerosis in kidney transplant recipients. Kidney Int. 2005;68:878–885. 23. Naesens M, Heylen L, Lerut E, et al. Intrarenal resistive index after renal transplantation. N Engl J Med. 2013;369:1797–1806. 24. Seiler S, Colbus SM, Lucisano G, Rogacev KS, Gerhart MK, Ziegler M, Fliser D, Heine GH. Ultrasound renal resistive index is not an organ-specific predictor of allograft outcome. Nephrol Dial Transplant. 2012;27:3315–3320. 25. Grün OS, Herath E, Weihrauch A, Flügge F, Rogacev KS, Fliser D, Heine GH. Does the measurement of the difference of resistive indexes in spleen and kidney allow a selective assessment of chronic kidney injury? Radiology. 2012;264:894–902. 26. Nosadini R, Velussi M, Brocco E, Abaterusso C, Carraro A, Piarulli F, Morgia G, Satta A, Faedda R, Abhyankar A, Luthman H, Tonolo G. Increased renal arterial resistance predicts the course of renal function in type 2 diabetes with microalbuminuria. Diabetes. 2006;55:234–239. 27. Doi Y, Iwashima Y, Yoshihara F, Kamide K, Hayashi S, Kubota Y, Nakamura S, Horio T, Kawano Y. Renal resistive index and cardiovascular and renal outcomes in essential hypertension. Hypertension. 2012;60:770–777.

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Renal Resistive Index: A Case of Mistaken Identity W. Charles O'Neill Hypertension. 2014;64:915-917; originally published online August 25, 2014; doi: 10.1161/HYPERTENSIONAHA.114.04183 Hypertension is published by the American Heart Association, 7272 Greenville Avenue, Dallas, TX 75231 Copyright © 2014 American Heart Association, Inc. All rights reserved. Print ISSN: 0194-911X. Online ISSN: 1524-4563

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Renal resistive index: a case of mistaken identity.

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