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## Brazilian Journal of Nephrology

##
*versão impressa* ISSN 0101-2800

### J. Bras. Nefrol. vol.34 no.1 São Paulo jan./mar. 2012

#### http://dx.doi.org/10.1590/S0101-28002012000100004

**ORIGINAL ARTICLE**

**Calculation of Kt/V in haemodialysis: a comparison between the formulas**

**Guilherme Breitsameter ^{I}; Ana Elizabeth Figueiredo^{II}; Daiana Saute Kochhann^{III}**

^{I}Unidade de Hemodiálise do Hospital São Lucas da Pontifícia Universidade católica do rio Grande do Sul – HSL-PUC/RS; Unidade de Hemodiálise do Hospital de Clínicas de Porto Alegre

^{II}Unidade de Hemodiálise do HSL-PUC/RS; Faculdade de Enfermagem, Nutrição e Fisioterapia – FAENFI- PUC/RS

^{III}Clinirim – Clínica de Doenças Renais de Porto Alegre, Brasil

**ABSTRACT**

**INTRODUCTION:** The quality of delivered dialysis can be measured by the Kt/V ratio, which can be calculated in various ways.

**OBJECTIVE: ** To compare the Kt/V ratio obtained with the formulas of Lowrie (L) and Daugirdas (D) with the results measured by an Online Clearance Monitor (OCM). Method: Observational, cross-sectional study of 59 patients on hemodialysis (HD). Data were collected in the same dialysis session (predialysis and postdialysis urea) and Kt/V was calculated by the OCM of the Fresenius 4008S machine (Fresenius Medical Care AG, Bad Homburg, Germany).

**RESULTS:** A total of 95 sessions were assessed, with a predominance of males 56% (33), and a sample mean age of 57 + 14 years. Hypertension (42%; n = 25), diabetes (12%; n = 7) and glomerulonephritides (8%; n = 5) were the most frequent causes of chronic kidney disease (CKD). Mean Kt/V values obtained with the L and D formulas and the OCM were 1.31, 1.41 and 1.32, respectively. Comparison between the L and D formulas showed a statistically significant difference (p = 0.008), with a Pearson's correlation of 0.950. The difference between the D formula and the OCM was also significant (p = 0.011 and r = 0.346), probably due to convective loss, estimated by the D formula but not by the OCM and L formula. The difference between the L formula and the OCM was not significant (p = 0.999 and r = 0.577).

**CONCLUSION:** These data suggest that the OCM can be used as a guide to the real-time adjustment of the dialysis dose.

**Keywords:** Dialysis. Renal Insufficiency, Chronic. Quality Control.

**INTRODUCTION**

The incidence and prevalence of chronic kidney disease (CKD) have increased at an alarming rate.^{1}

Because several studies have demonstrated a correlation between hemodialysis (HD) dose and morbidity and mortality, the former must be measured in order to estimate whether CKD patients on HD are being adequately treated. Although symptoms and signs are important indicators, they are not sensitive or specific enough to precisely monitor the HD dose.^{2}

The following formulas have been used to quantify the dose of dialysis: urea reduction ratio (URR), Kt/V single pool (spKt/V) and equilibrated Kt/V (eKt/V). In the Kt/V ratio, the dialyzer urea clearance (K) is multiplied by dialysis time (t), the product being then divided by the patient's urea distribution volume (V). K depends on dialyzer size, blood flow rate and dialysate flow. Although t normally ranges between 3 and 4 hours (180-240 minutes per dialysis session), it can be adjusted. The patient's urea distribution volume (V) corresponds to approximately 50% of body weight, and may be more precisely estimated with an anthropometric equation which considers gender, age, height and weight (Watson's equation, for example).^{3,4}

The adequate standard HD dose is estimated for patients undergoing three sessions a week. Dialysis adequacy is set by the *National Kidney Foundation Disease Outcomes Quality Initiative* (NKF-DOQI) guidelines, which recommend that spKt/V should be kept over 1.2.^{2}

A DOQI-approved method for Kt/V calculation is Daugirdas's formula (1996): spKt/V = *- ln(R – 0.008 x t) + ( 4 – 3.5x R) 0.55 x UF/V*, in which R is predialysis urea/postdialysis urea, t is dialysis time in hours, - ln is the negative natural logarithm, UF is weight loss in kilograms and V is the anthropometric urea distribution volume in liters, which may be calculated with Watson's equation or simply estimated as 0.55 X postdialysis weight.^{3,4} Another option is to use Lowrie's formula (1983): *Kt/V = ln pr*edialysis urea/postdialysis urea.^{5}

NKF-DOQI and Brazilian guidelines have recommended that the dialysis dose should be controlled, with blood samples, at least once a month.^{2} However, there are now dialysis machines that provide on-line real-time monitoring of dialysis efficiency, by showing Kt/V on the screen. On-line clearance monitors (OCMs) measure the difference of conductivity between the dialysis fluid entering and leaving the dialyzer, through the difference of electrolyte concentration. This measurement is used to calculate the ionic dialysant, which is very close to effective urea clearance, as long as dialysant flow, blood flow and blood electrolyte composition are kept constant during measurement time. This method, which is easy to use and has low cost, is based on the assumption that sodium clearance equals urea clearance.^{2,6}

This non-invasive method for Kt/V determination is unlikely to substitute for routine blood sampling, although OCMs provide an opportunity for monitoring unstable patients, chiefly in relation to dialysis quality, through verification of the Kt/V at the end of each dialysis session, with prompt problem identification and early resolution.^{7}

Therefore, the purpose of this study was to compare Kt/V results obtained with Lowrie's formula (L Kt/V) with those obtained with Daugirdas's formula (D Kt/V), and the latter with OCM-measured results (OCM Kt/V).

**METHOD**

This was an observational, quantitative study undertaken at the Hemodialysis Unit of the Hospital São Lucas of the Pontifícia Universidade Católica do Rio Grande do Sul (HSL-PUC/RS), Brazil.

The sample was composed of all CKD patients on HD at the unit. Patients under 18 years of age were excluded from the study.

Data were collected from laboratory exams and Kt/V results obtained from the Fresenius 4008S HD machines (Fresenius Medical Care AG, Bad Homburg, Germany) equipped with an OCM, on the same day blood sampling occurred. The standard dialysate flow, in all machines, was 500 ml/min. Each patient underwent two blood samplings, which were performed on the second dialysis session of the first week of the month, for two weeks.

Blood sampling occurred at two time-points: in the first minute of dialysis a blood sample was obtained from the arterial line of the extracorporeal system (predialysis sample); the second sample was obtained soon after the prescribed dialysis time was completed. Blood pump flow was reduced to less than 100 ml/min, for two minutes, accoding to the unit's protocol. Only then was the sample obtained from the arterial line (postdialysis sample).

In order to calculte the Kt/V, the following data were collected: dry weight, weight gain between sessions, height, age, sex, blood flow and hematocrit.

We used descriptive statistics and categorical data, described as frequencies and percentages. Continuous variables were described as means and standard deviations when there was a normal distribution. Comparison between the formulas was made through variance analysis (ANOVA), with identification of the differences through Bonferroni's test, with significance set at p < 0.05. The *Statistical Package for the Social Sciences version 17.0* (SPSS) program was used for the statistical calculations.

The study was approved by the Ethics Committe of the HSL-PUC/RS (protocol 10/05098).

**RESULTS**

We assessed 95 HD sessions of a total of 59 patients, 95% of the sessions lasting 4 hours.

The cnincal and demographic variables of the sample are presented in Table 1. Table 2 shows the distribution of the patients according to their underlying disease.

ANOVA between the formulas showed a statistically significant difference (p = 0.003). Mean L Kt/V, obtained through blood samples, was 1.31 (± 0.24). Mean second-generation D Kt/V was 1.41 (± 0.26). Although there was a significant difference between these results (p = 0.008), the formulas had a good Pearson's correlation of 0.950 (p < 0.000).

Mean second-generation D Kt/V, obtained through blood samples, was 1.41 (± 0.26). Mean non-invasive OCM Kt/V was 1.32 (± 0.30). Comparison between D Kt/V and OCM Kt/V showed a statistically relevant significance (p = 0.011) and a low Pearson's correlation of 0.346 (p < 0.001).

Comparison between L Kt/V and OCM Kt/V dis not show statistical significance (p = 0.999) and had an adequate Pearson's correlation of 0.577.

**DISCUSSION**

In this study there was a predominance of men (56% of the sample), a result which, along the mean age, is similar to that of other studies.^{8} Our results are in agreement with the 2010 census undertaken by the Brazilian Nephrology Society, which showed that 57% of the Brazilian population on HD is composed of men, the male sex being a risk factor for CKD. In addition, 35.2% of the dialysis population have hypertension as their main underlying disease, followed by diabetes mellitus in 27.5% of the cases.^{1,9}

Our study also showed hypertension as the main underlying disease (42%), followed by diabetes mellitus (12%), glomerulonephritides (8%) and polycystic kidney disease (7%). A previous study undertaken in the south of Brazil found hypertension as the underlying disease in 36.7% of all CKD cases, with diabetic nephropathy accounting for 31.4%.^{8}

In this study, mean hematocrit was 32.9%, which is equivalent to a hemoglobin concentration of 11g/dl, slightly under what is recommended in the literature. Another study undertaken in Porto Alegre, at another dialysis unit, showed hematocrit values very close to ours (mean 33.5%).^{10} Notwithstanding, the UK Renal Association guidelines recommend that hemoglobin should be kept between 10 and 12 g/dL in CKD patients stages 4 and 5, with the use of stimulants of erythropoiesis.^{11}

Research has demonstrated that weight gain over 2.5 kg was associated with increases of both systolic and diastolic predialysis blood pressure.^{12} Our patients had a mean interdialytic weight gain of 2.4 kg (± 1.03).

Dialysis dose is a good marker of dialysis quality. It is thus essential to know the actual dialysis dose that is being delivered at each session.^{2} According to the DOQI guidelines, the minimum value recommended for three sessions a week is a Kt/V over 1.2.^{2}

Our Kt/V results are, on average, in accordance with what is advised, being 1.31 (± 0.24) for Lowrie, 1.41 (± 0.35) for Daugirdas and 1.32 (± 0.29) for OCM. There was a significant difference between the D Kt/V and L Kt/V and OCM Kt/V.

A Spanish study observed that concordance between D Kt/V and Kt/V obtained with other formulas varies. Because Daugirdas formula overestimates Kt/V in comparison with Lowrie's, the authors proposed a 1997 K/DOQI criterion, according to which dialysis is considered adequate when D Kt/V is 1.2 or above and L Kt/V is 1.0 or above.^{6}

This probably occurs because Daugirdas's formula includes convective loss, that is the weight difference divided by the distribution volume.^{3} On the other handn Lowrie's formula and the OCM assess diffusive loss only. The weak correlation between the OCM and Daugirdas's formula may be accounted for by the different types of transport. OCM Kt/V is diffusive while D Kt/V is convective. Lowrie's formula and OCM have good correlation, possibly due to the same transport mechanism (diffusive) they assess.

Another Spanish study compared OCM Kt/V and D Kt/V (second generation), but in hemodiafiltration sessions of chronic patients. There was good correlation (r = 0,952), with mean OCM Kt/V of 1.49 + 0.54/session and D Kt/V of 1.74 + 0.58/session.^{13} The difference we found, in comparison with the Spanish study, may be attributed to hemofiltration, which has greater convective loss, partially determined by dialysate flow (800 ml/min), ultrafiltrate, blood flow and procedure time.^{13} In our study, the dialysate flow was 500 ml/min, and only hemodialysis sessions were assessed.

Kt/V is very important for the assessment of dialysis quality and adequacy. Each formula has its own relevant characteristics, Lowrie's formula being simple, easily understood and readily acceptable. Although more complex, Daugirdas's formula is widely used, as it includes individualized information such as height, weight and blood flow. These data are also included in the OCM measurements, but with the added bonus of providing real-time Kt/V values, which allow prompt interventions to increase Kt/V should the need arise.

**CONCLUSION**

The data suggest a statistically significant difference between the results obtained with Daugirdas's formula and those obtained with Lowrie's formula and the OCM.

Our study demonstrated that although these formulas may lead to deifferent results, there is good correlation between them. The important goal is not to compare results from different formulas or identify the best one, but set a standard for the formula in use. We confirmed that OCM is a practical instrument for daily use, to complement the other formulas, helping to adequate the dialysis dose delivered to reach excellent patient's benefit. It should be highlighted, however, that the patient's clinical picture is above any formula and should be the ultimate guide to dialysis adequacy.

**REFERENCES**

1. Barros E, *et al*. Nefrologia: rotinas, diagnóstico e tratamento. 3a ed. Porto Alegre: Artmed; 2006. [ Links ]

2. National Kidney Foundation NKF/DOQI. Clinical practice guidelines and clinical practice recommendations, 2006 updates hemodialysis adequacy, peritoneal dialysis adequacy, vascular access. Am J Kidney Dis 2006;48(Suppl):S1. [ Links ]

3. Daugirdas JT, *et al*. Prescrição de hemodiálise crônica: uma abordagem da cinética da uréia. In: Daugirdas JT, Ing TS. Manual de diálise. 3a ed. Rio de Janeiro: Medsi; 2003. Cap. 9. [ Links ]

4. Watson PE, *et al*. Total body water volumes for adult males and females estimated from simple anthropometric measurements. Am J of Clin Nutr 1980;33:27-39. [ Links ]

5. Lowrie EG, *et al*. Principles of prescribing dialysis therapy: implementing recommendations from the National Cooperative Dialysis Study. Kidney Int 1983;23(Suppl):113-22. [ Links ]

6. Teruel JL, *et al*. Utilidad de la dialisancia iônica para control de la dosis de diálisis. Experiência de um ano. Nefrologia 2003;23:444-50. [ Links ]

7. Uhlin F, *et al*. Dialysis dose (Kt/V) and clearance variation sensitivity using measurement of ultraviolet-absorbance, blood urea, dialysate urea and ionic dialysance. Nephrol Dial Transplant 2006;21:2225-31 [ Links ]

8. Morsch C, *et al*. Avaliação de indicadores assistenciais de pacientes em hemodiálise no sul do Brasil. J Bras Nefrol 2008;30:120-5. [ Links ]

9. Sociedade Brasileira de Nefrologia (SBN). Censos. Censo Brasileiro de Diálise 2010. [cited 2011 Oct 17]. Available from: http://www.sbn.org.br/index.php?censoAdmAtual&menu=24. [ Links ]

10. Morsch C. Avaliação da qualidade de vida e de indicadores assistenciais de pacientes renais crônicos em tratamento hemodialítico [master's thesis]. Porto Alegre: Faculdade de Medicina, Universidade Federal do rio Grande do Sul; 2002. [ Links ]

11. RA Clinical Practice Guidelines - Anemia CKD, The Renal Association UK. [cited 25 Mar 2011] Available from: http://www.renal.org/Clinical/GuidelinesSection/AnaemiaInCKD.aspx. [ Links ]

12. Pinheiro ME, *et al*. Hipertensão arterial na diálise e no transplante renal. J Bras Nefrol 2003;25:142-8. [ Links ]

13. Maduell F, *et al*. Monitoring hemodialysis dose with ionic dialysance in on-line hemodiafiltration. Nefrologia 2005;25:521-6. [ Links ]

** Correspondence to: **

Guilherme Breitsameter

Avenida João Carlos Bertussi da Silva, 115 – Jardim Itu Sabará

Porto Alegre – RS – Brazil

Zip code 91220-270

E-mail: guilhermebreit@hotmail.com

Submitted on: 04/04/2011

Approved on: 10/20/2011

This study was undertaken at the HSL–PUC/RS.

The authors report no conflict of interest.