The multifactorial dynamic perfusion index: A predictive tool of cardiac surgery associated acute kidney injury

Abstract

Introduction

cardiac surgery associated acute kidney injury (CSA-AKI) has a number of preoperative and intraoperative risk factors. Cardiopulmonary bypass (CPB) factors have not yet been elucidated in a single multivariate model. The aim of this study is to develop a dynamic predictive model for CSA-AKI.

Methods

retrospective study on 910 consecutive adult cardiac surgery patients. Baseline data were used to settle a preoperative CSA-AKI risk model (static risk model, SRM); CPB related data were assessed for association with CSA-AKI. CPB duration, nadir oxygen delivery, time of exposure to a low oxygen delivery, nadir mean arterial pressure, peak lactates and red blood cell transfusion were included in a multivariate dynamic perfusion risk (DPR). SRM and DPR were merged into a final logistic regression model (multifactorial dynamic perfusion index, MDPI). The three risk models were assessed for discrimination and calibration.

Results

the SRM model had an AUC of 0.696 (95% CI 0.663–0.727), the DPR model of 0.723 (95% CI 0.691–0.753), and the MDPI model an AUC of 0.769 (95% CI 0.739–0.798). The difference in AUC between SRM and DPR was not significant (p = 0.495) whereas the AUC of MDPI was significantly larger than that of SRM (p = 0.004) and DPR (p = 0.015).

Conclusions

inclusion of dynamic indices of the quality of CPB improves the discrimination and calibration of the preoperative risk scores. The MDPI has better predictive ability than the existing static risk models and is a promising tool to integrate different factors into an advanced concept of goal-directed perfusion.

Keywords

cardiopulmonary bypass acute kidney injury risk models oxygen delivery hematocrit

Introduction

Cardiac surgery associated acute kidney injury (CSA-AKI) is one of the most common postoperative complications, associated with an increased mortality risk.^1–4 It is usually defined based on the changes in serum creatinine in the early postoperative period, and on the need for renal replacement therapy, and since a specific definition of CSA-AKI is still lacking, its grading usually follows the Acute Kidney Injury Network (AKIN)⁵ or the Kidney Disease Improving Global Outcomes (KDIGO)⁶ definition. According to these criteria, an increase of the serum creatinine by at least 50% is used to adjudicate an AKI (of any stage).

Several risk scores for CSA-AKI exist.^7–11 They are based on preoperative risk factors and severity of the procedure. Additionally, they have been designed to predict the risk of most serious degrees of acute kidney injury, namely renal replacement therapy. The only model considering lower degrees of CSA-AKI cannot be considered a real preoperative risk model, since it includes postoperative variables.¹²

The existing risk models do not take into consideration the cardiopulmonary bypass (CPB) associated factors, that in many studies have been linked to CSA-AKI.

The purpose of the present study is to develop a new model for prediction of CSA-AKI based on a “static” preoperative model, integrated with a number of CPB-related factors, ending up with a “dynamic” model inclusive of the preoperative risk factors, the procedure-related risk, and the CPB-related factors.

Methods

Study design and patient population

Retrospective cohort study on 910 consecutive adult patients undergoing cardiac surgery with CPB in the year 2019 at our Institution. Congenital heart patients were excluded from the study population. Patients treated at a bladder temperature <32°C were excluded. The final study population was therefore represented by 830 subjects. The study was approved by the Ethics Committee of San Raffaele Hospital. Given the retrospective nature of the study, a written informed consent was retrieved whenever feasible; all the patients however provided a written informed consent for the use of their data for scientific research, in an anonymous form.

All the patients were treated with a low-hemodilution CPB strategy, consisting of a priming volume of 800 mL of gelatins and sodium bicarbonate as a buffer.

Data collection and definitions

Data for evaluation of the static risk model (SRM) for CSA-AKI were retrieved from our Institutional database. These included demographics, co-morbidities, baseline serum creatinine and bilirubin, hematocrit (HCT, %), hemoglobin (Hb, mg/dL), type of surgical intervention, and other intervention-related factors (elective/urgent/emergent; redo surgery). From the preoperative data, the Cleveland Risk Score (CRS)⁷ was calculated and chosen as the reference “static” CSA-AKI risk score. This score includes the following risk factors: gender; congestive heart failure; type 1 diabetes; chronic obstructive pulmonary disease; left ventricular ejection fraction; preoperative use of an intra-aortic balloon pump; history of previous cardiac surgery; type of current cardiac surgery; and preoperative creatinine. In agreement with the existing literature that considers age^8–10 and a low preoperative HCT^13–15 as risk factors for CSA-AKI, age and HCT were merged into the CRS, and the resulting logistic regression equation produced the static risk model (SRM).

Data from the CPB files were retrieved and manually analyzed for CPB-related factors. The files contained data hemodynamic and ventilatory parameters collected every 10 min during CPB: pump flow (L/min), mean arterial pressure (MAP, mmHg), total gas flow (L/min) and FiO₂, plus central temperature (°C). Blood gas analyses were performed every 20 min and included acid-base balance, oxygen tension (mmHg) and saturation (%), HCT, Hb, electrolytes, and lactates (LAC, mmol/L). Oxygen delivery indexed for body surface area (DO₂, mL^.min^−1.m⁻²) was calculated based on pump flow, Hb, and oxygen saturation. Venous blood gas analyses were not routinely performed and not at specific intervals of time. On-line measure of venous and arterial oxygen saturation and exhaled CO₂ were available in a limited amount of patients.

The use of allogeneic blood products (red blood cells, RBC) and of vasoconstrictors (norepinephrine) while on CPB were recorded.

Based on the above items, the following parameters were derived:

• Nadir pump flow indexed for body surface area (L^.min^−1.m⁻²)

• Nadir HCT, maintained for at least 10 min

• Nadir DO_2, maintained for at least 10 min

• Time of exposure to a DO₂ below the critical value (min)

• Nadir MAP, maintained for at least 10 min

• Use of vasoconstrictors (norepinephrine)

• Peak blood lactates

• RBC transfusion (yes/no)

• CPB duration (min)

The outcome parameter (CSA-AKI) was defined as a serum creatinine increase of at least 50% of the baseline value, occurring within the first 48 h from surgery. This definition includes the stages I, II, and III of the KDIGO classification⁶ and can therefore be labeled as CSA-AKI “of any kind.”

Models development and statistics

The sample size of 830 patients was considered adequate to develop multivariable models inclusive of more than 10 independent variables. Considering a CSA-AKI rate of 15%, and a ratio of 1:10 between variables and events, up to 12 independent variables can be admitted to the model. This number was considered adequate for the purpose of the present study.

Variables are defined as mean and standard deviation (SD) or number (%). Differences between patients with or without CSA-AKI were addressed with a Student’s t-test for unpaired data and a Pearson’s chi-square for differences in frequency.

Each CPB-related variable was tested for association with CSA-AKI using linear of polynomial regression equations. In case of non-linearity, adequate cut-off values were assessed based on the Youden index of receiver operating characteristics (ROC) curves.

Multivariable analyses were based on logistic regressions, producing odds ratios (OR) and 95% confidence intervals (CI). Based on the logistic regression equation, three separate risk models were developed: the SRM (based on preoperative factors), the dynamic perfusion risk (DPR) based on the perfusion-related variables, and the multifactorial dynamic perfusion index (MDPI) which is the combination of SRM and DPR.

The MDPI was tested for discrimination using a ROC analysis producing areas under the curve (AUC), and it was compared to other three existing risk factors for CSA-AKI (CRS,⁷ Simplified Predictive Index,⁸ and Bedside Index⁹) Differences between AUCs were investigated with the DeLong method. Calibration properties were investigated using calibration plots that are considered the gold standard for this assessment.¹⁶

An internal validation of the final model was performed using a bootstrap technique with 1000 iterations, producing the values of bias and 95% confidence interval.

All the statistical analyses were performed with computerized packages (SPSS 20.0, IBM, Chicago, IL, GraphPad, GraphPad Software, Inc, San Diego, CA, and MedCalc, MedCalc Software, Ostend, Belgium). A p value <0.05 was considered significant for all the statistical tests.

Results

The static risk model

Table 1 reports the general characteristics of the patient population, and the differences between AKI and non-AKI patients. AKI of any stage was adjudicated in 84 (10.1%) patients.

Table 1.

Preoperative and operative details of the patient population (N = 830).

Item	AKI (N = 84)	Non-AKI (N = 746)	p
Age (years)	71 (11.1)	65.1 (13.6)	0.001
Gender female	33 (39)	264 (35.4)	0.480
Weight (kgs)	75.2 (15.6)	73.8 (14.8)	0.424
Height (cms)	168 (9.6)	169 (9.4)	0.388
Ejection fraction (%)	55.2 (12.5)	56.5 (11.8)	0.342
Serum creatinine (mg/dL)	1.04 (0.44)	1.03 (0.61)	0.891
Hematocrit (%)	37.2 (5.5)	40.1 (4.6)	0.001
Diabetes on medication	16 (19)	108 (14.5)	0.265
Chronic obstructive pulmonary disease	4 (4.8)	37 (5.0)	0.937
Previous cerebrovascular accident	3 (3.6)	35 (4.7)	0.641
Congestive heart failure	6 (7.1)	65 (8.7)	0.626
Cardiogenic shock	0 (0)	0 (0)	1.000
Preoperative intra-aortic balloon pump	0 (0)	3 (0.4)	0.560
Previous open heart surgery	11 (13.1)	64 (8.6)	0.171
Conditions of surgery
Elective	55 (65.5)	594 (79.6)	0.003
Urgent/emergent	29 (34.5)	152 (20.4)	—
Type of surgery
Isolated valve or coronary surgery	55 (65.5)	498 (66.8)	—
Other procedures	29 (34.5)	248 (33.2)	0.814
Cleveland risk score	2.94 (1.6)	2.58 (1.6)	0.048
Simplified predictive index	2.09 (1.0)	1.66 (1.04)	0.001
Bedside tool	18.4 (5.9)	16.9 (5.8)	0.023

Data are number (%) or mean (standard error). AKI: Acute kidney injury.

All the existing risk scores were significantly higher in AKI patients. Other factors being significantly different were age and preoperative hematocrit. The SRM for AKI is defined by the following logistic regression equation:

S R M o f A K I r i s k = \frac{\exp (- 1.079 + 0.079 * C R S + 0.035 * A g e - 0.095 * H C T)}{(1 + \exp [- 1.079 + 0.079 * C R S + 0.035 * A g e - 0.095 * H C T])}

(1)

The dynamic perfusion risk

Differences in CPB-related factors between patients with or without CSA-AKI are reported In Table 2. All the factors considered showed a significant difference, with the only exception of MAP and use of vasoconstrictors. The pump flow was excluded from the subsequent analyses due to the low level of significance and to avoid intercorrelation between the independent variables. The pump flow, as a matter of fact, concurs in determining the DO₂ together with the Hb.

Table 2.

Cardiopulmonary bypass-related factors in AKI and non-AKI patients.

Item	AKI (N = 84)	Non-AKI (N = 746)	p
Nadir hematocrit (%)	26 (4.2)	28.6 (4.2)	0.001
Nadir oxygen delivery (ml^.min^−1.m⁻²)	265 (52)	297 (46)	0.001
Time of exposure to critical oxygen delivery (min)	10.8 (12)	5.8 (10.8)	0.001
Pump flow (L/min/m²)	2.21 (2.8)	2.29 (1.9)	0.016
Cardiopulmonary bypass duration (min)	132 (76)	95 (45)	0.001
Nadir mean arterial pressure (mmHg)	59.9 (9.3)	61.1 (8.9)	0.271
Use of norepinephrine	17 (20.2)	117 (15.7)	0.276
Peak lactates (mMol/L)	1.48 (1.42)	1.01 (0.4)	0.001
Red blood cell transfusion	22 (29.3)	53 (7.1)	0.001

Data are mean (standard deviation) or number (%). AKI: Acute kidney injury.

The analyses of association between continuous CPB-related factors and CSA-AKI are reported in Figure 1. The relationship is linear for CPB duration (relative risk 0.1% per each CPB minute) and peak LAC (relative risk increase 11.2% per each mMol/L); quadratic for MAP and cubic for the time of exposure to the critical DO₂. Nadir HCT and DO₂ levels behave linearly below a cut-off value that was identified at 26% and 289 mL^.min^−1.m⁻² respectively; for values above these points, the risk of CSA-AKI is constant at 6.4% and 5.3% respectively.

Figure 1.

Association between cardiopulmonary bypass (CPB) factors and risk of acute kidney injury (AKI). DO₂: Oxygen delivery; HCT: Hematocrit; MAP: Mean arterial pressure.

Based on these equations, a specific CSA-AKI risk was calculated separately for each of the seven predictors. The values of each factor-related risk were merged into a single logistic regression, that represents the DPR as expressed in the equation whose parameters are reported in Table 3.

Table 3.

Logistic regression parameters for the dynamic perfusion risk.

Item	Regression coefficient	Odds ratio
Nadir hematocrit risk	0.578	1.78
Nadir oxygen delivery risk	3.797	44.6
Time of exposure to critical oxygen delivery risk	−0.284	0.75
Cardiopulmonary bypass duration risk	4.552	94.8
Nadir mean arterial pressure risk	0.498	1.65
Peak lactates risk	4.197	66.5
Red blood cell transfusion risk	3.652	38.5
Constant	−4.112	—

The multifactorial dynamic perfusion index

The CSA-AKI risk as determined by the SRM and the DPR were merged into a single logistic regression equation (equation (2)) defining the MDPI-CSA-AKI risk. The equation is the following:

M D P I C S A - A K I r i s k = \frac{\exp (- 3.35 + 4.17 * S R M + 5.37 * D P R)}{1 + \exp [- 3.3 + 4.17 * S R M + 5.37 * D P R]}

(2)

Internal validation

The equation (2) was internally validated with a bootstrapping of 1000 iterations. The bias of the three coefficients was negligible and the p values remained highly significant:

• Constant: Bias −0.033, standard error 0.229, 95% CI –3.90 to −2.96, p = 0.001

• SRM: Bias −0.058, standard error 1.51, 95% CI 1.26–7.30, p = 0.004

• DPR: Bias 0.238, standard error 1.55, 95% CI 2,89–8.96, p = 0.001

The MDPI was tested for discrimination using an ROC analysis (Figure 2), in comparison with the other three existing CSA-AKI predictive models. The CRS had an AUC of 0.580 (95% CI 0.545–0.614), the Simplified Predictive Score an AUC of 0.631 (95% CI 0.597–0.664), the Bedside Tool an AUC of 0.587 (95% CI 0.552–0.621) and the MDPI-based equation reached an AUC of 0.769 (95% CI 0.739–0.798). The difference in AUC between the MDPI and the other scores yielded a p < 0.001.

Figure 2.

Receiver operating characteristics curves for the four risk models. MDPI: Multifactorial dynamic perfusion index.

Calibration of the MDPI was tested with a calibration plot (Figure 3). The MDPI showed a good calibration until a predicted CSA-AKI risk of 50%; for higher risk values, it was overestimating the risk. However, this is due to the fact that only 14 patients (1.6%) had an expected CSA-AKI risk >50%, and therefore in this very high risk patient population the sample size was insufficient to guarantee an adequate calibration.

Figure 3.

Calibration plot for the multifactorial dynamic perfusion index. AKI: Acute kidney injury.

Discussion

Our study proposes a new approach to CSA-AKI risk assessment, based on the combination of a pre-procedural, static and non-modifiable risk score with a dynamic and largely modifiable combination of CPB-related hemodynamic and metabolic indices. The MDPI demonstrated a good discrimination ability, superior to the existing static scores, and a good calibration in the range of CSA-AKI risk between 0% and 50%, and an optimal internal validation.

The existing risk models are generally inappropriate to predict the risk of minor degrees of AKI (namely stage I and II in the KDIGO classification).¹⁷ The main reason is that they include the baseline serum creatinine, that is an excellent predictor of AKI requiring renal replacement therapy but not of serum creatinine increase.¹⁷ Additionally, they do not take into consideration the cardiopulmonary bypass (CPB) associated factors, that in many studies have been associated with CSA-AKI. Given these points, it is not surprising that the MDPI has a higher discrimination power, being titrated on any stage of CSA-AKI and incorporating CPB-derived parameters.

The novelty of our approach is the inclusion of different parameters into a single algorithm. As a matter of fact, taken one by one, the seven predictors included in the DPR have already been identified as independent risk factors for CSA-AKI.

Nadir HCT

The deleterious effects of excessive hemodilution on CPB, as represented by a low HCT, have been discovered since the mid 90s’.^18–22 These effects have been largely demonstrated as determinants of CSA-AKI, but they appear to affect other organs dysfunction and even mortality.²² It is still unclear which is the cut-off value for entering the critical level of hemodilution; however, it seems to be around 26%.^21,22

In our series, we could confirm this critical level of HCT, below which the CSA-AKI risk linearly increases. Severe hemodilution is per se a risk factor for bad outcomes. In particular, it has been demonstrated that severe hemodilution is deleterious for the microcirculation.²³

Nadir DO₂

A low DO₂ has been associated with CSA-AKI in many studies. In the first study addressing this topic, we could find a critical DO₂ at a value of 272 mL^.min^−1.m⁻².²⁴ In our series, the critical DO₂ was found at 289 mL^.min^−1.m⁻², in substantial agreement with the previous findings. A low DO₂ is certainly deleterious for any organ function, but visceral organs and namely the kidney are the more susceptible to a mismatch between oxygen needs and supply. The nadir DO₂ depends of course on the HCT and the pump flow. Pump flow was excluded from our model due to the minimal difference between patients with or without CSA-AKI, and to avoid collinearity.

Time of exposure to the critical DO₂

It is reasonable to hypothesize that the longer the patient stays below the critical DO₂, the greater will be the risk of CSA-AKI. There are few studies addressing this topic. Rasmussen et al.²⁵ demonstrated that actually the duration of exposure to a low DO₂ is associated with an increased risk of CSA-AKI. In our series, this finding was confirmed; however, the risk increases until 20 min of exposure; then it stabilizes at around 20%, without further increase for longer exposure to the critical DO₂.

Peak lactates

Even if other mechanisms are possible, the main mechanism leading to hyperlactatemia is the transition from the aerobic to the anaerobic metabolism. In the setting of CPB, this is again to be ascribed to a mismatch between oxygen needs and oxygen supply.

Other studies have highlighted that hyperlactatemia on CPB is associated with bad outcomes, including mortality.^26,27 In our series, lactate concentration has a linear relationship with CSA-AKI, with a relative risk of 11.2% per each mMol/L of lactate, thus confirming the important role of this marker.

Nadir MAP

The role of MAP during CPB as a determinant of worse outcomes and namely CSA-AKI is widely debated. The existing guidelines simply suggest to maintain the MAP between 50 and 80 mmHg;²⁸ however, a retrospective study found an association between a MAP <65 mmHg and a composite outcome of stroke, AKI or mortality.²⁹

From our data, it seems that both hypotension (nadir MAP <40 mmHg) and hypertension (nadir MAP >90 mmHg) increase the CSA-AKI risk to a value of about 15%. Therefore, the MAP-related risk was defined by a quadratic equation, with the lowest risk placed around 70 mmHg.

CPB duration

The notion that the longer the CPB, the worse the outcome, is well established. Although some authors^30,31 recently proposed cut-off values of CPB duration (between 70 and 110 min), our data suggest that the relationship is linear, with an incremental relative risk of 0.1% per minute of CPB.

RBC transfusion

Allogeneic blood product transfusions have been associated with CSA-AKI in a number of studies,^32-34 although the timing of transfusion (on CPB or after CPB) has not been elucidated yet. In our series, the CSA-AKI risk was triple (at the univariate analysis) in patients receiving RBC transfusion on CPB. However, it should be considered that RBC transfusion has a potentially favourable impact on other parameters included in the MDPI such as nadir HCT, nadir DO₂, and time to exposure to the critical DO₂. The combined effects of RBC transfusion (deleterious) and the consequent increase in HCT and DO₂ (beneficial) can be calculated from the multivariable logistic equation from which the MDPI is derived.

MDPI in clinical practice

The MDPI is intended to offer a guide to the perfusionists and the anesthesiologists in order to limit the perfusion-related risk of CSA-AKI, possibly decreasing the preoperative, static risk. Preoperative risk models are basically composed by non-modifiable risk factors; conversely, the MDPI includes a number of modifiable risk factors, like the nadir HCT, the nadir DO₂, the time of exposure to the critical DO₂, the mean arterial pressure, and the use of RBC transfusion. The perfusionist has a number of tools to correct the DPR; some of them are proactive (i.e. limiting the hemodilution in order to preserve the HCT), others are reactive (increasing the pump flow to preserve the DO₂). Basically, the concept is that the perfusionist should consider the SRM as the starting point, follow the DPR and the MDPI, and apply corrective measure in order to decrease the SRM or, at least, not to increase it. In this sense, the MDPI should be considered as a quality marker of the CPB, probably associated with outcomes other than the CSA-AKI. The incorporation of the various equations is theoretically possible in some of the data monitoring systems integrated in the CPB equipment, with the possibility to follow in real-time the changes in DPR and MDPI.

The level of discrimination of the MDPI is acceptable, considering that it includes preoperative and CPB-related factors, but not post-CPB factors that certainly influence the incidence of CSA-AKI: among these, hypotension, low cardiac output, need for inotropic agents and vasoconstrictors.

Limitations

The main limitations are (i) the possible lack of some predictors (i.e. the mixed venous oxygen saturation) that were not routinely collected in our files; (ii) the single-Institution nature of this study and (iii) the absence of an external validation series. Although the internal validation is satisfying, an external series obtained in multiple Institutions is certainly recommended, and will be the endpoint of future studies. Actually, the incidence of CSA-AKI of any stage greatly differs among Institutions. A multicenter study³⁵ conducted in 10 Institutions in Europe, USA, Australia and New Zealand showed a CSA-AKI incidence ranging from 9.1% to 27.3%. In our series, the CSA-AKI rate was 10.1%, so on the low-side of the distribution. The inclusion of Institutions with a larger rate of CSA-AKI could be useful to adjust the coefficients of the MDPI.

Footnotes

Declaration of conflicting interests

The author(s) declared the following potential conflicts of interest with respect to the research, authorship, and/or publication of this article: Marco Ranucci is a Consultant for Livanova and Medtronic; Mauro Cotza is a Consultant for Livanova, Medtronic, and Qura. The algorhitms composing the Multifactorial Dynamic Perfusion Index are protected by a patent owned by IRCCS Policlinico San Donato.

Funding

The author(s) disclosed receipt of the following financial support for the research, authorship, and/or publication of this article: The study was partially funded by the Italian Ministry of Health, within the funding of Clinical Research Hospitals network, which includes our Institution.

ORCID iD

Marco Ranucci

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The multifactorial dynamic perfusion index: A predictive tool of cardiac surgery associated acute kidney injury

Abstract

Introduction

Methods

Results

Conclusions

Keywords

Introduction

Methods

Study design and patient population

Data collection and definitions

Models development and statistics

Results

The static risk model

The dynamic perfusion risk

The multifactorial dynamic perfusion index

Internal validation

Discussion

Nadir HCT

Nadir DO2

Time of exposure to the critical DO2

Peak lactates

Nadir MAP

CPB duration

RBC transfusion

MDPI in clinical practice

Limitations

Footnotes

Declaration of conflicting interests

Funding

ORCID iD

References

Nadir DO₂

Time of exposure to the critical DO₂