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Association of Continuous-Equivalent Urea Clearances with Death Risk in Intermittent Hemodialysis

Vartia, Aarne,Huhtala, Heini,Mustonen, Jukka

Abstract

Background. Several reports describe favorable results fromfrequent hemodialysis, but due to the lack of unequivocal dose measures it is not clear whether the benefits are due to more efficient toxin removal or other factors. Methods. The associations with death risk of six continuous-equivalent urea clearance measures were compared in 57 conventional in-center hemodialysis treatment periods of 51 patients, together 114 patient years. The double pool dose measures were calculated with the Solute-Solver program and separately scaled to urea distribution volume or normalized with body surface area. Results. Mortality associated significantly with equivalent renal urea clearance (EKR) scaled to urea distribution volume (𝑉) (𝑝 = 0.033) and with EKR normalized with body surface area (BSA) (𝑝 = 0.044) but not with 𝑉-scaled (𝑝 = 0.059) nor BSA-normalized (𝑝 = 0.183) standard clearance (stdK). Women had significantly higher normalized protein catabolic rate (nPCR), EKR/𝑉, and stdK/𝑉 than men but slightly lower BSA-normalized dose measures and lower mortality. Protein catabolic rate and dialysis dose correlated positively with each other and with survival. Conclusions. The prognostically most valid continuous-equivalent clearance in the present material was EKR/𝑉, calculated from double pool urea generation rate, distribution volume, and time-averaged concentration

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Resea ch A icle Associa ion o Con inuous-Equi alen U ea Clea ances wi h Dea h Risk in In e mi en Hemodialysis Aa ne Va ia,1Heini Huh ala,2and Jukka Mus onen3,4 1Sa onlinna Cen al Hospi al, 57120 Sa onlinna, Finland 2School o Heal h Sciences, Uni e si y o Tampe e, 33014 Tampe e, Finland 3School o Medicine, Uni e si y o Tampe e, 33014 Tampe e, Finland 4Tampe e Uni e si y Hospi al, 33521 Tampe e, Finland Co espondence should be add essed o Aa ne Va ia; aa ne. a [email protected] Recei ed 19 Janua y 2016; Accep ed 30 Ma ch 2016 Academic Edi o : Deepak Malho a Copy igh Β© 2016 Aa ne Va ia e al. This is an open access a icle dis ibu ed unde he C ea i e Commons A ibu ion License, which pe mi s un es ic ed use, dis ibu ion, and ep oduc ion in any medium, p o ided he o iginal wo k is p ope ly ci ed. Backg ound. Se e al epo s desc ibe a o able esul s om equen hemodialysis, bu due o he lack o unequi ocal dose measu es i is no clea whe he he bene i s a e due o mo e e icien oxin emo al o o he ac o s. Me hods.Theassocia ionswi hdea h isk o six con inuous-equi alen u ea clea ance measu es we e compa ed in 57 con en ional in-cen e hemodialysis ea men pe iods o 51 pa ien s, oge he 114 pa ien yea s. The double pool dose measu es we e calcula ed wi h he Solu e-Sol e p og am and sepa a ely scaled o u ea dis ibu ion olume o no malized wi h body su ace a ea. Resul s. Mo ali y associa ed signi ican ly wi h equi alen enal u ea clea ance (EKR) scaled o u ea dis ibu ion olume (𝑉)(𝑝 = 0.033)andwi hEKRno malizedwi h body su ace a ea (BSA) (𝑝 = 0.044)bu no wi h𝑉-scaled (𝑝 = 0.059) no BSA-no malized (𝑝 = 0.183) s anda d clea ance (s dK). Women had signi ican ly highe no malized p o ein ca abolic a e (nPCR), EKR/𝑉,ands dK/𝑉 han men bu sligh ly lowe BSA-no malized dose measu es and lowe mo ali y. P o ein ca abolic a e and dialysis dose co ela ed posi i ely wi h each o he and wi h su i al. Conclusions. The p ognos ically mos alid con inuous-equi alen clea ance in he p esen ma e ial was EKR/𝑉, calcula ed om double pool u ea gene a ion a e, dis ibu ion olume, and ime-a e aged concen a ion. 1. In oduc ion Su i al co ela es wi h u ea-based hemodialysis session dose in many la ge egis y s udies (Low ie e al. [1]: 43,334 pa ien s, Po e al. [2]: 84,936 pa ien s, and Mille e al. [3]: 88,153 pa ien s) in con en ional h ice-weekly schedule, bu in he andomizedcon olledHEMO ialmeanequilib a ed K𝑑/𝑉 (eK𝑑/𝑉) 1.53 did no esul in a signi ican ly be e ou come han 1.16 [4]. In e mi en hemodialysis ea men s can be compa ed o each o he by he session dose measu es URR, K𝑑,K𝑑/𝑉, and eK𝑑/𝑉 only i he ea men equency is equal. Se e al obse a ional s udies, e e ed o in [5, 6], and he andom- ized con olled FHN ial [7] desc ibe posi i e esul s om equen (β€œdaily”) hemodialysis. Howe e , he ole o solu e emo al e iciency emains obscu e. U ea dis ibu ion olume (𝑉)isanessen ial a iable in kine ic modeling and can be used as a ep esen a i e o pa ien size, a scaling ac o . Howe e , i may ha e also an independen e ec on ou come [1, 8], which weakens he alue o K𝑑/𝑉 as a p ognos ic ac o . BSA has ecen ly been ecommended o scaling o dialysis dose simila ly as in exp essing he glome ula il a ion a e [9]. 𝑉-scaled dosing may esul in subop imal ou come in women and child en. Equi alen enal u ea clea ance (EKR, Casino and Lopez) [10] and s anda d clea ance (s dK, Go ch) [11, 12] ake ea men equency and esidual enal unc ion (RRF) in o accoun and hey we e in ended o use in compa ing dialysis doses in di e en schedules and o con inuous dialysis and enal unc ion [13, 14]. RRFmaycon ibu esigni ican ly o he o alweekly solu e emo al [14] bu only minimally (usually <1%) o he deli e ed K𝑑/𝑉o URR measu ed om blood samples. Renal clea ance (K ) can be added ma hema ically o session K𝑑/𝑉 [15–17]. Con inuous-equi alen clea ance based on UKM Hindawi Publishing Co po a ion Ad ances in Neph ology Volume 2016, A icle ID 9342853, 8 pages h p://dx.doi.o g/10.1155/2016/9342853 2Ad ances in Neph ology Table 1: Associa ion o pa ien cha ac e is ics and dialysis dose measu es wi h dea h isk in 57 hemodialysis ea men pe iods o 51 pa ien s. Mean SD Min Max Uni a ia e 𝑝OR 95% CI Age Yea s 61.6 15.5 16.7 91.6 0.103 1.038 0.993–1.085 Weigh kg 75.1 18.2 44.2 123.6 0.525 0.989 0.957–1.023 BMI kg/m226.1 5.5 16.3 43.7 0.198 0.924 0.819–1.042 BSA m21.84 0.25 1.31 2.34 0.872 0.823 0.078–8.727 𝑉L 31.8 6.7 20.5 50.3 0.637 1.021 0.936–1.113 nPCR g/kg/day 1.15 0.24 0.73 1.74 0.058 0.065 0.004–1.095 nK mL/min/1.73 m21.7 1.4 0.0 6.0 0.861 0.963 0.631–1.469 nEKR mL/min/1.73 m212.5 1.3 8.4 16.4 0.044 0.611 0.379–0.988 ns dK mL/min/1.73 m28.5 1.0 6.2 12.2 0.183 0.638 0.330–1.235 nEKRan mL/min/1.73 m215.1 2.3 8.3 20.3 0.113 0.806 0.617–1.053 ns dKan mL/min/1.73 m210.2 1.6 6.1 14.3 0.232 0.785 0.527–1.168 EKR/𝑉/week 4.35 0.64 2.36 5.82 0.033 0.326 0.117–0.912 s dK/𝑉/week 2.93 0.39 1.73 3.88 0.059 0.205 0.040–1.060 /week 2.9 0.3 2.0 3.7 0.413 0.503 0.097–2.606 𝑑dh/week 13.5 2.3 7.7 18.4 0.077 0.786 0.602–1.027 Table 2: Hemodialysis ea men pe iod du a ions and easons o discon inua ion. 𝑁%Du a ion (yea s) Mean SD Min Max Con inuing 19 33.3 2.5 1.7 0.4 5.8 Dea h 16 28.1 2.3 1.6 0.6 6.9 T ansplan a ion 8 14.0 1.4 1.3 0.6 4.6 T ans e o ano he uni 8 14.0 1.3 1.2 0.3 3.8 T ans e o pe i oneal dialysis 3 5.3 2.1 1.4 0.7 3.5 Decision 3 5.3 0.8 0.3 0.6 1.1 The numbe s include hemodialysis ea men pe iods ongoing on Janua y 1, 1998 ( om ha da e on), and inciden pe iods du ing he nine-yea obse a ion ime un il Decembe 31, 2006 (unless e mina ed ea lie ). includes K au oma ically. Renal unc ion is β€œquali a i ely” be e han dialysis wi h equal u ea clea ance [18]. In heo y, he con inuous-equi alen a e age clea ance basedondoublepoolUKMandincludingRRFis ine,bu he bes measu e is he one mos closely associa ed wi h ou come. Only ew ea lie epo s co ela e mo ali y di ec ly wi h ECC [7, 19–22]. The aim o he p esen p elimina y s udy was o compa e he p ognos ic alue o di e en con inuous- equi alen u ea clea ances as dialysis dose measu es. 2. Subjec s and Me hods The s udy is a e ospec i e egis y analysis om a hospi al p o iding adul hemodialysis se ices in a dis ic wi h a ca chmen a ea o some 50,000 inhabi an s in Eas e n Finland. The obse a ion ime was nine yea s, om Janua y 1, 1998, o Decembe 31, 2006. The ma e ial comp ises 57 con en ional in-cen e hemodialysis ea men pe iods o 51 pa ien s, in o al 114 pa ien yea s. Pe iods las ing unde 90 days a e no included. Pa ien cha ac e is ics a e desc ibed in Table 1. Table 2 p esen s he cha ac e is ics o he dialysis ea men pe iods. β€œDecision” e e s o a unanimous decision by pa ien and physician o discon inue enal eplacemen he apy. Dosing o dialysis, including ea men equency, was p esc ibed by he i s au ho on mul iple c i e ia (weigh , hyd a ion s a us, p edialysis plasma u ea concen a ion, and o he labo a o y alues, eK𝑑/𝑉 a ge s, and pa ien ’s p e - e ences). Renal diagnosis, como bidi y, unc ional s a us, wai ing o ansplan a ion, age, an icipa ed su i al ime, andp o einca abolic a e(PCR)we eno usedasdosing c i e ia. The pa ien s we e encou aged by a die ician o use a die con aining p o ein 1.2 g/kg/day, bu he ac ual die a y p o ein in ake was no con olled. U ea kine ic modeling wi h in e dialysis u ine collec ion was pe o med mon hly. K was in e pola ed om p e ious and nex measu emen s i u ine collec ion occasionally ailed. RRF was de ec ed in 68% o UKM sessions. In 15% o hem, K was in e pola ed. The numbe s desc ibing he pa ien cha ac e is ics and dialysis dose measu es a e means o each ea men pe iod. Double pool UKM calcula ions we e conduc ed wi h he Solu e-Sol e p og am e sion 1.97 (July 2, 2010, wi h sou ce code) [23], accessed No embe 12, 2015: h p://www.u eak- ine ics.o g/. Dialyze mass a ea coe icien (K0𝐴) epo edby he dialyze manu ac u e is used in Solu e-Sol e in calcula ing dialyze clea ance (Kd) om𝑄band 𝑄dwi h Michaels’ equa ion [24]. Six double pool con inuous-equi alen u ea clea ance measu es we e compa ed: EKR/𝑉 (/week). nEKR (mL/min/1.73 m2). nEKRan (mL/min/1.73 m2). s dK/𝑉 (/week). ns dK (mL/min/1.73 m2). ns dKan (mL/min/1.73 m2). Ad ances in Neph ology 3 Table 3: Dialysis ea men pe iods di ided in o wo g oups wi h app oxima ely equal mean nPCR. EKR/𝑉𝑝 alue Low High Mean SD Mean SD Age Yea s 60.8 13.2 62.5 17.7 0.668 Weigh kg 77.1 21.2 72.9 14.7 0.393 BMI kg/m226.5 6.5 25.7 4.4 0.595 BSA m21.86 0.27 1.81 0.22 0.441 𝑉L 33.7 7.5 29.8 5.1 0.024 nPCR g/kg/day 1.19 0.28 1.12 0.19 0.283 nK mL/min/1.73 m22.0 1.4 1.4 1.4 0.102 nEKR mL/min/1.73 m212.1 1.5 13.0 1.0 0.005 ns dK mL/min/1.73 m28.3 1.1 8.7 0.9 0.240 nEKRan mL/min/1.73 m214.2 2.4 16.2 1.7 0.001 ns dKan mL/min/1.73 m29.8 1.7 10.7 1.3 0.023 EKR/𝑉/week 3.99 0.59 4.72 0.45 <0.001 s dK/𝑉/week 2.75 0.38 3.12 0.30 <0.001 T ea men equency /week 2.8 0.4 3.1 0.2 0.006 T ea men ime h/week 12.6 2.5 14.4 1.7 0.003 T ea men pe iods 𝑛29 28 Women % 31.0 46.4 0.233 Diabe ics % 37.9 46.4 0.516 E n di ng w i h d e a h % 3 7.9 1 7. 9 0 . 0 92 Pa ien yea s 𝑛49.8 64.5 Dea hs 𝑛11 5 Mo ali y /1000 py 221 78 0.049 Thei de ini ions a e desc ibed in he Appendix. EKR is based on ime-a e aged u ea concen a ion; s dK is based on a e - age peak concen a ion. All include di usion, con ec ion, and enal clea ance. 2.1. S a is ical Me hods. Con inuous a iables a e exp essed as means wi h s anda d de ia ions (SD) and minimum and maximum alues. Ca ego ical a iables a e exp essed as pe cen ages. Uni a ia e and mul i a iable bina y logis ic eg ession analyses we e pe o med o iden i y a iables associa ed wi h dea h. Va iables wi h a uni a ia e 𝑝 alue <0.10 we e en e ed in o he mul i a iable models. Odds a ios (ORs) and 95% con idence in e als (CIs) a e epo ed. Linea eg ession analysis was used o e alua e he in e - ac ion o dialysis dose and nPCR (Figu e 1) and he ma e ial was spli in o wo g oups on he basis o EKR/𝑉 and nPCR (Table 3). SPSS 22.0 and STATA 13.1 we e used in s a is ical calcula- ions. The g aph was d awn wi h Excel 2007. 3. Resul s The o e all mo ali y was 140 pe 1,000 pa ien yea s. The main esul s a e shown in Table 1. Mo ali y was signi ican ly associa ed only wi h EKR/𝑉 and nEKR. In mul i a iable analysis, EKR/𝑉 was he only a iable ha ing an associa ion wi h dea h isk (OR = 0.326, CI = 0.117–0.912, and 𝑝 = 0.033). Figu e 1 illus a es he linea eg ession be ween nPCR and EKR/𝑉. To elimina e he con ounding e ec o nPCR on he dose-mo ali y ela ionship, he ma e ial was spli in o wo g oups wi h app oxima ely equal mean nPCR bu di e en mean EKR/𝑉.Thelinesepa a ing heg oupsis depic ed in Figu e 1. Table 3 shows ha he di e ence in mo ali y be ween he low and high dose g oups is s ill signi ican . Men had lowe nPCR, EKR/𝑉,ands dK/𝑉 and highe mo ali y han women (Table 4). Diabe ics had highe weigh , BMI, and BSA bu did no di e signi ican ly om nondiabe - ics in mo ali y (Table 5). Co ela ions be ween some pa ien cha ac e is ics and con inuous-equi alen clea ances a e shown in Table 6. All clea ances co ela e wi h each o he . 4. Discussion The associa ion o six con inuous-equi alen u ea clea ance measu es wi h dea h isk was e alua ed by s a is ical analysis. The mos signi ican p edic o in uni a ia e analysis and he only signi ican one in mul i a iable analysis was EKR/𝑉, calcula ed om TAC (𝑝 = 0.033). The 𝑝 alue o s dK/𝑉 ( om PAC) was 0.059. In he old NCDS, TAC had a close co ela ion wi h ou come han PAC [25]. The s dK concep is complian wi h he peak concen a ion hypo hesis [26], no suppo ed by he p esen esul s. No malizing wi h BSA was es ed by he a iables nEKR and ns dK, wi h mL/min/1.73 m2(o L/week/1.73 m2)as hei uni . nEKR was signi ican ly associa ed wi h dea h isk, bu ns dK was no . In he p esen s udy, Kdwas de i ed om 𝑄b,𝑄d,andK 0𝐴 epo ed by he dialyze manu ac u e . 4Ad ances in Neph ology Table4:Dialysis ea men pe iodsbygende . Women Men 𝑝 alue Mean SD Mean SD Age Yea s 63.3 14.5 60.6 16.1 0.529 Weigh kg 65.2 15.3 81.2 17.4 0.001 BMI kg/m225.7 5.9 26.3 5.3 0.694 BSA m21.66 0.17 1.95 0.22 <0.001 𝑉L 26.1 3.6 35.3 5.7 <0.001 nPCR g/kg/day 1.23 0.23 1.10 0.24 0.043 nK mL/min/1.73 m21.9 1.4 1.6 1.4 0.467 nEKR mL/min/1.73 m212.4 1.1 12.7 1.5 0.401 ns dK mL/min/1.73 m28.2 0.7 8.7 1.1 0.066 nEKRan mL/min/1.73 m214.8 1.9 15.4 2.6 0.349 ns dKan mL/min/1.73 m29.8 1.2 10.5 1.7 0.082 EKR/𝑉/week 4.64 0.57 4.17 0.62 0.005 s dK/𝑉/week 3.07 0.36 2.85 0.39 0.036 T ea men pe iods 𝑛22 35 Ending wi h dea h % 13.6 37.1 0.055 Pa ien yea s 𝑛50.6 63.7 Dea hs 𝑛313 Mo ali y /1000 py 59 204 0.040 2.00 2.50 3.00 3.50 4.00 4.50 5.00 5.50 6.00 0.40 0.80 1.20 1.60 2.00 EKR/V (/week) nPCR (g/kg/day) Di ision line Reg ession line y = 1.50x + 2.66 y = 1.40x + 2.73 R2= 0.29 Figu e 1: Linea eg ession be ween nPCR and dialysis dose (EKR/𝑉) and he line sepa a ing he g oups o Table 3. Calcula ed wi h Michaels’ equa ion [24], a 50% e o in K0𝐴 causes an e o o some 10% in Kdwi h usual 𝑄band 𝑄d. E o s in Kdcause in UKM p opo ional e o s in 𝑉and 𝐺. In EKR/𝑉 and s dK/𝑉, he e o s cancel each o he ou , bu no in nEKR and ns dK. Two o he BSA-no malized con inuous-equi alen clea - ances nEKRan and ns dKan we e calcula ed applying he me hod o Daugi das e al. desc ibed in he Appendix [9, 27]. The an h opome ic o al body wa e is usually la ge compa ed o he kine ic 𝑉. Thus, nEKRan and ns dKan a e highe han he simple BSA-no malized alues. They a e UKM-based con inuous-equi alen hemodialysis dose measu es, whe e he possible e o s in Kda e elimina ed, no malized wi h wo an h opome ic measu es o body size and wi h mL/min/1.73 m2as uni . Howe e , no malizing wi h BSA wi h ei he me hod did no imp o e he p edic i e alue o EKR/𝑉 and s dK/𝑉. In heHEMO ial, heage-adjus edmo ali ydidno di e signi ican ly be ween gende s, bu women did bene i om highe dose [28]. In he p esen s udy, women had lowe mo ali y and go highe EKR/𝑉 and s dK/𝑉 bu sligh ly lowe BSA-no malized doses (Table 4). Como bidi y o he han diabe es was no analyzed. The a he wide ange o dialysis doses in he p esen s udyisp obablydue o heoppo unis icaspec :mo emay be be e , bu wi h la ge pa ien s i is no easy o achie e a high dose (Table 6). In Table 3, he dis ibu ion olume and he p opo ion o men we e highe in he low dose g oup. Men had highe mo ali y and olume and lowe 𝑉-scaled dialysis dose (Table 4). The pa ien cha ac e is ics and dialysis dose measu es ha e mul iple co ela ions o dependencies (Table 6). Figu e 1 shows he linea eg ession be ween nPCR and EKR/𝑉. PCR is a unc ion o EKR/𝑉 o s dK/𝑉 ((B.3) and (B.4) in Appendix). Thus, ma hema ical coupling is ine i able. I is also possible ha nPCR depends on he dialysis dose Ad ances in Neph ology 5 Table5:Dialysis ea men pe iodsbydiabe ics a us. Diabe es 𝑝 alue Yes No Mean SD Mean SD Age Yea s 61.2 14.9 62.0 16.1 0.842 Weigh kg 81.7 18.5 70.2 16.7 0.018 BMI kg/m228.1 6.3 24.6 4.4 0.016 BSA m21.92 0.22 1.78 0.25 0.037 𝑉L 32.9 6.3 30.9 6.9 0.260 nPCR g/kg/day 1.16 0.23 1.14 0.26 0.739 nK mL/min/1.73 m21.5 1.0 1.9 1.6 0.243 nEKR mL/min/1.73 m212.7 0.9 12.4 1.6 0.356 ns dK mL/min/1.73 m28.6 0.8 8.4 1.1 0.350 nEKRan mL/min/1.73 m215.8 1.9 14.6 2.5 0.055 ns dKan mL/min/1.73 m210.7 1.3 9.9 1.7 0.047 EKR/𝑉/week 4.43 0.47 4.29 0.74 0.427 s dK/𝑉/week 2.99 0.27 2.89 0.46 0.360 T ea men pe iods 𝑛24 33 Ending wi h dea h % 25.0 30.3 0.660 Pa ien yea s 𝑛54.3 60.0 Dea hs 𝑛610 Mo ali y /1000 py 110 167 0.439 Table 6: Spea man’s co ela ions, signi ican a he 0.01 le el (2- ailed). Weigh BMI BSA 𝑉nPCR nEKR ns dK nEKRan ns dKan EKR/𝑉s dK/𝑉 Weigh 1 0.854 0.950 0.748 0.352 0.453 0.530 BMI 0.854 1 0.658 0.455 0.393 0.427 BSA 0.950 0.658 1 0.817 0.364 0.430 0.521 𝑉0.748 0.455 0.817 1 0.436 βˆ’0.475 βˆ’0.354 nPCR 1 0.493 0.519 0.535 0.609 nEKR 1 0.929 0.694 0.711 0.566 0.631 ns dK 0.352 0.364 0.436 0.929 1 0.569 0.686 0.351 0.509 nEKRan 0.453 0.393 0.430 0.493 0.694 0.569 1 0.962 0.821 0.850 ns dKan 0.530 0.427 0.521 0.519 0.711 0.686 0.962 1 0.706 0.809 EKR/π‘‰βˆ’0.475 0.535 0.566 0.351 0.821 0.706 1 0.961 s dK/π‘‰βˆ’0.354 0.609 0.631 0.509 0.850 0.809 0.961 1 (causali y)o ha dosingo dialysisisguidedbyu ea concen a ions o adjus ed o p o ein ca abolic a e [29] as ecommended by Go ch e al. [12, 30, 31] ( e e se causali y). All hese ac o s may ha e a ole in he p esen s udy, bu hei sepa a e con ibu ion could no be speci ied. In he HEMO ial, he e ec o dose on nPCR and he ole o ma hema ical couplingwe ees ima ed obesmall[32]. PCR e lec s die a y p o ein in ake, which co ela es wi h nu i ional s a us and ou come [33]. In a ecen la ge egis y ma e ial mo ali y dec eased wi h inc easing nPCR un il 1.3 g/kg/day [34]. Table 3 shows ha in he p esen s udy EKR/𝑉had a signi ican associa ion wi h mo ali y, al hough nPCR was sligh ly highe in he low EKR/𝑉 g oup. nPCR is associa ed wi h mo ali y di ec ly and wi h he dialysis dose h ough he β€œ ea o high u ea concen a ions” e ec β€” an example o he mechanisms possibly unde lying he dose- a ge ing bias [35]. nPCR and dialysis dose may ha e a syne gis ic e ec on su i al. A limi a ion o he p esen s udy is he small numbe o pa ien s, which p e en s obus conclusions. On he o he hand, di e en dosing de ini ions we e compa ed in he same ma e ialβ€”a esponse o he challenge p esen ed by Debowska e al. [36]. In summa y, EKR/𝑉and nEKR we e signi ican ly associ- a ed wi h mo ali y bu s dK/𝑉and ns dK we e no . No mal- izing wi h BSA [9, 37] did no imp o e he signi icance o he ECC measu es. Appendix A. Con inuous-Equi alen Clea ance (ECC) EKR (ECCTA )ands dK(ECC PA ) a e based on he de ini ion o clea ance (K): K=𝐸 𝐢.(A.1) 6Ad ances in Neph ology In s eady s a e, he emo al a e (𝐸) equals he gene a ion a e (𝐺), and hus K=𝐺 𝐢.(A.2) In EKR, 𝐢is he ime-a e age concen a ion (TAC) and, in s dK, i is he a e age p edialysis concen a ion (peak a e age concen a ion, PAC): EKR =𝐺 TAC ,(A.3) s dK =𝐺 PAC .(A.4) The uni is, o example, mL/min o L/week. Bo h may be scaled o body size by di iding by u ea dis ibu ion olume 𝑉and exp essed as EKR/𝑉 and s dK/𝑉: EKR/𝑉 = EKR 𝑉,(A.5) s dK/𝑉 = s dK 𝑉.(A.6) 𝐺,𝑉, TAC, and PAC a e de e mined by kine ic modeling, in he p esen s udy wi h Solu e-Sol e . TAC and PAC a e whole-body wa e concen a ions and 𝑉is he pos dialysis o al olume 𝑉𝑑. The mos p ac ical uni o EKR/𝑉 and s dK/𝑉 is /week. nEKR and ns dK a e ECC alues (ECCTA and ECCPA ) no malized wi h body su ace a ea analogically o glome ula il a ion a e o enal clea ance, wi h mL/min/1.73 m2as he uni : nEKR =EKR BSA βˆ—1.73, ns dK =s dK BSA βˆ—1.73. (A.7) Daugi das e al. ha e de eloped a me hod o ge a BSA- no malized s dK𝑑/𝑉 [9, 27]: SAn-s dK𝑑/𝑉 = s dK𝑑/𝑉 βˆ— Van BSA βˆ—20,(A.8) whe e Van is an h opome ic TBW in li e s, BSA is in m2, and hecons an 20is hemeano 𝑉/BSA (L/m2)in hei ma e ial. Simila ly, nEKRan and ns dKan can be calcula ed by using a combined an h opome ic scaling ac o Van /BSA (=TBW/BSA): nEKRan =EKR/𝑉 βˆ— Van BSA βˆ—1.73, (A.9) ns dKan =s dK/𝑉 βˆ— Van BSA βˆ—1.73, (A.10) wi h app op ia e uni con e sion ac o s. Van /BSA akes gende in o accoun . In he p esen ma e ial, i s a e age alue was 18.7 (18.3–20.3) L/m2 o women and 21.9 (20.2– 24.5) L/m2 o men. B. nPCR By de ini ion (see (A.4) and (A.6)), 𝐺=s dK/𝑉 βˆ—PAC βˆ—π‘‰. (B.1) In hemodialysis, nPCR is gene ally calcula ed by he Bo ah equa ion [38] wi h Sa gen ’s modi ica ion [39]: nPCR =(9.35 βˆ— 𝐺 + 0.294 βˆ— 𝑉) (𝑉/0.58),(B.2) whe e nPCR is exp essed in g/kg/day, 𝐺is exp essed in millig ams o u ea-N/min, and 𝑉is exp essed in L. By sub- s i u ing 𝐺 om (B.1) and using app op ia e uni con e sion ac o s we ge nPCR = 0.0151 βˆ— s dK/𝑉 βˆ— PAC +0.171, (B.3) whe e nPCR is in g/kg/day, s dK/𝑉is in /week, and PAC is in mmol/L. 𝑉will be elimina ed. nPCR is high i concen a ion (PAC) is high despi e high o no mal clea ance (s dK/𝑉). s dK/𝑉 andPACcanbesubs i u edwi hEKR/𝑉 and TAC: nPCR = 0.0151βˆ— EKR/π‘‰βˆ— TAC + 0.171. (B.4) nPCR is ine i ably co ela ed wi h s dK/𝑉 and EKR/𝑉.The body su ace a ea-no malized ECC measu es a e no so closely associa ed wi h nPCR. Abb e ia ions BMI: Body mass index = weigh /heigh 2 BSA: Body su ace a ea 𝐢: Concen a ion ECC: Con inuous-equi alen clea ance EKR: Equi alen enal clea ance = 𝐺/TAC EKR/𝑉:EKRscaled o𝑉 eK𝑑/𝑉:Equilib a edK𝑑/𝑉 : Dialysis session equency 𝐺: Gene a ion a e Kd: Dialyze clea ance K :Renalclea ance K0𝐴:Dialyze massa eacoe icien K𝑑: Clea ance βˆ—session ime K𝑑/𝑉:K𝑑scaled o dis ibu ion olume = Kdβˆ—π‘‘ d/𝑉𝑑 nEKR: EKR no malized wi h BSA (mL/min/1.73 m2) nEKRan : EKR no malized wi h BSA and Van (mL/min/1.73 m2) nK :K no malized wi h BSA (mL/min/1.73 m2) ns dK: s dK no malized wi h BSA (mL/min/1.73 m2) ns dKan : s dK no malized wi h BSA and Van (mL/min/1.73 m2) nPCR: PCR scaled o no mal body weigh = PCR/(𝑉/0.58) (g/kg/day) Ad ances in Neph ology 7 PAC: A e age p edialysis concen a ion, peak a e age concen a ion PCR: P o ein ca abolic a e (g/day) py: Pa ien yea s 𝑄b: Dialyze blood low 𝑄d: Dialysa e low RRF: Residual enal unc ion spK𝑑/𝑉:SinglepoolK𝑑/𝑉 s dK: S anda d clea ance = 𝐺/PAC s dK/𝑉:s dKscaled o𝑉 TAC: Time-a e aged concen a ion TBW: To al body wa e (Wa son) = Van 𝑑d: Dialysis session du a ion UF: Ul a il a ion olume (posi i e, i luid is emo ed) UKM: U ea kine ic model 𝑉:Dis ibu ion olume Van : An h opome ic 𝑉=TBW 𝑉𝑑:Pos dialysis𝑉. E hical App o al Thes udywasbasedonananalysiso egis e da acollec ed andu ilizeddu ing he ou ineca eo pa ien sandconduc ed wi h he pe mission o he medical di ec o o he hospi al. The e was no con ol g oup o andomiza ion. The s udy was no p esen ed o an e hics commi ee because he e we e no in e en ions and, acco ding o Finnish law, egis y epo s a e no subjec o e alua ion by e hics commi ees. The pa ien da a we e anonymized and deiden i ied p io o analysis. Compe ing In e es s The au ho s decla e ha hey ha e no compe ing in e es s. Acknowledgmen s The au ho s hank he eam o he Dialysis Uni o Sa onlinna Cen alHospi al o ca e ulbloodandu inesampling. Re e ences [1] E.G.Low ie,Z.Li,N.O s hun,andJ.M.Laza us,β€œBodysize, dialysis dose and dea h isk ela ionships among hemodialysis pa ien s,” Kidney In e na ional, ol.62,no.5,pp.1891–1897, 2002. [2] F. K. Po , R. A. Wol e, T. E. Hulbe -Shea on, K. P. 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