Introduction

Patients who underwent heart valve replacement or reparation surgery are required to receive prophylactic anticoagulation1,2. Warfarin, which is available in China and has a low cost, is usually the first choice for most patients in our hospital. However, a major drawback of warfarin is the inter-individual heterogeneity in the dosage caused by many factors. One group of factors involves warfarin-related genes3,4,5,6,7. Meanwhile, another group of factors is related to demographics and clinical factors6,8,9,10.

Among clinical factors, acute kidney injury is especially of interest because for those who received heart surgery, post-operation acute kidney injury (AKI) is relatively common and is estimated to be as high as 42%, based on a varied definition of cardiac surgery-associated AKI11,12,13,14,15,16,17. And there are several studies showing AKI has an effect on warfarin dosage. For example, Limdi, N.A. et al. found that moderate and severe kidney impairment was associated with a reduction in the warfarin dose required to maintain the target INR8. In another study, Ning et al. found that renal function was correlated with the dose of warfarin18. Finally, there are a few other studies concluding kidney function is associated with warfarin response19,20.

Because of the relatively common post-operative AKI among heart surgery patients and its correlation with warfarin response. We aim to investigate if there is an interaction between AKI and CYP2C9/VKORC1 polymorphism and its influence on the daily dose of warfarin during hospitalization based.

Results

Among the 200 patients, 108 (54.00%) are female. Further, the mean age is 54.45 years, and the mean weight of 61.82 kg. Indication as mechanical valve replacement, bio-prosthetic valve replacement, or valve reparation accounts for 35.50%, 41.50%, and 23.00% of patients, respectively. 40 (20.00%) patients were prescribed concomitant amiodarone, which potentially overlays with the warfarin prophylaxis period. AKI occurred in 30 (15.00%) patients. VKORC1 mutation (1639G>A) occurred in 25 (12.50%) patients and CYPC29 *2 or *3 mutations presented in 20 patients (10.00%). The median days of warfarin prophylaxis until the discharge is 10 days. More patient characteristics are available in Table 1.

Table 1 Characteristics of the 200 subjects at the time of enrollment.

Mean INR values at day 3 (n = 182) and day 7 (n = 167) are 1.64 and 1.78 respectively. 78.50% of patients (n = 157) achieved the lower target INR goal before discharge. The mean average daily dose of warfarin until discharge was 2.68 mg (SD 0.80). Full INR data during hospitalization is summarized in Fig. 1. As shown in Fig. 1, the mean INR value gradually rose and on day 4 it reached the target INR range.

Figure 1
figure 1

Mean daily INR from enrollment and the confidence interval.

Analysis of data shows the two gene polymorphisms, namely, CYP2C9 (p = 0.0051) and VKORC1 (< 0.0001) are independently associated with the average warfarin daily dose. Patients with CYP2C9 mutations required lower average daily doses, whereas those with VKORC1 mutation (VKORC1 1639G>A) needed higher average daily doses. Clinical characteristics and factors that are independently correlated with the average daily dose are age (p = 0.0005), body surface area (p < 0.001), hypertension (p = 0.0089), CHF (p = 0.0345), and levels of serum albumin (p = 0.0163).

Primary outcome

Most importantly, a significant interaction between AKI and VKORC1 (INTadd mean − 1.17, 95% CI − 1.82 to − 0.53) was observed (p = 0.0004), and the additive influence of AKI plus VKORC1 morphism on average daily dose was statistically weaker than the sum of adding each individually. In other words, when acute kidney injury and mutation of VKORC1 (1639G>A) are both present, their additive net influence on the average daily dose is significantly smaller than the arithmetic sum of the influences of each factor individually. Predicted analysis shows patients who have VKORC1 non-A genotypes but with acute kidney injury would have a significantly lower mean average daily dose than those without AKI (2.63 mg/day [95% CI 2.02–3.23] vs 3.80 mg/day [3.49–4.12], the value of other model cofactors: male, age 60 years, BSA 1.75 m2, no HTN, no CHF, serum albumin 40 g/L, CYP2C9 wild type). Additional results are presented in Table 2. We did not observe a significant additive interaction between AKI and CYP2C9.

Table 2 Multi-variable regression result of the 200 subjects.

In this study, we did not include a sensitivity analysis for amiodarone because this would cause a significant sample loss of whom the AKI or gene polymorphism was present. In addition, the majority of patients who took amiodarone stopped this drug within 4 days. Finally, our multi-variable linear regression model does include drug-to-drug interaction due to amiodarone as a confounder and we did not observe a significant association between it and the dependent variable. Of note, both drug labels indeed warn there is a drug interaction between amiodarone and warfarin and our study does not conflict with this fact because we think: (1) the sample size of this study has limited the power of the statistical regression model, (2) the majority of patients who took amiodarone stopped this drug within 4 days, which possibly did not reach sufficient interaction strengthen for us to successfully observe the difference due to limited statistical power.

Discussion

The primary discovery of our study is that we observed a significant additive interaction between the occurrence of post-operation acute kidney injury and VKORC1 polymorphism. The additive interaction effect for average daily dose difference is negative, which means the additive effect on average dose is smaller when both AKI and 1639G>A were present, compared with the sum of both effects being added individually. A secondary finding is that the influence of the VKORC1 genotype on the average daily warfarin dose depended on the cofactor AKI after surgery. The presence of postoperative AKI significantly extenuated the impact of VKORC1 mutation (1639G>A) on the average daily dose. To explain these observations, we base our postulations on pharmacokinetics and pharmacodynamics.

According to the definition of additive interaction effect, the components of INTadd, i.e. (Dose11 − Dose00) – [(Dose10 – Dose00) + (Dose01 – Dose00)], could be redressed and then expressed by the function of pharmacokinetic parameters clearance, unbound target drug concentration, and unbound fraction. Here we define clearance and unbound target drug plasma concentration under different cases as follows [Eq. (1)]:

$$Cl_{c} \int {\frac{{C_{GA,f} }}{{f_{u,AKI} }}} dt - Cl\int {\frac{{C_{f} }}{{f_{u} }}} dt - \left[ {\left( {Cl_{c} \int {\frac{{C_{f} }}{{f_{u,AKI} }}} dt - Cl\int {\frac{{C_{f} }}{{f_{u} }}} dt} \right) + \left( {Cl\int {\frac{{C_{GA,f} }}{{f_{u} }}} dt - Cl\int {\frac{{C_{f} }}{{f_{u} }}} dt} \right)} \right]$$
(1)

Equation (1) is re-expressed into Eq. (2) by some algebras. The math process is shown below,

$$\begin{gathered} Cl_{c} \int {\frac{{C_{GA,f} }}{{f_{u,AKI} }}} dt - Cl\int {\frac{{C_{f} }}{{f_{u} }}} dt - \left[ {\left( {Cl_{c} \int {\frac{{C_{f} }}{{f_{u,AKI} }}} dt - Cl\int {\frac{{C_{f} }}{{f_{u} }}} dt} \right) + \left( {Cl\int {\frac{{C_{GA,f} }}{{f_{u} }}} dt - Cl\int {\frac{{C_{f} }}{{f_{u} }}} dt} \right)} \right] \hfill \\ \downarrow \hfill \\ Cl_{c} \int {\frac{{C_{GA,f} }}{{f_{u,AKI} }}} dt - Cl\int {\frac{{C_{f} }}{{f_{u} }}} dt - Cl_{c} \int {\frac{{C_{f} }}{{f_{u,AKI} }}} dt + Cl\int {\frac{{C_{f} }}{{f_{u} }}} dt - Cl\int {\frac{{C_{GA,f} }}{{f_{u} }}} dt + Cl\int {\frac{{C_{f} }}{{f_{u} }}} dt \hfill \\ \downarrow \hfill \\ Cl_{c} \int {\frac{{C_{GA,f} }}{{f_{u,AKI} }}} dt - Cl_{c} \int {\frac{{C_{f} }}{{f_{u,AKI} }}} dt - \left( {Cl\int {\frac{{C_{GA,f} }}{{f_{u} }}} dt + Cl\int {\frac{{C_{f} }}{{f_{u} }}} dt} \right) \hfill \\ \downarrow \hfill \\ \frac{{Cl_{c} }}{{f_{u,AKI} }}\left( {\int {C_{GA,f} } dt - \int {C_{f} dt} } \right) - \frac{Cl}{{f_{u} }}\left( {\int {C_{GA,f} } dt - \int {C_{f} dt} } \right) \hfill \\ \downarrow \hfill \\ \left( {\frac{{Cl_{c} }}{{f_{u,AKI} }} - \frac{Cl}{{f_{u} }}} \right)\left( {\int {C_{GA,f} } dt - \int {C_{f} dt} } \right) \hfill \\ \downarrow \hfill \\ \left( {\int {C_{GA,f} } dt - \int {C_{f} dt} } \right)\left( {\frac{{Cl_{c} }}{{f_{u,AKI} }} - \frac{Cl}{{f_{u} }}} \right) \hfill \\ \end{gathered}$$

Which equals to below [Eq. (2)],

$$\left( {\int {C_{GA,f} } dt - \int {C_{f} dt} } \right)\left( {\frac{{Cl_{c} }}{{f_{u,AKI} }} - \frac{Cl}{{f_{u} }}} \right)$$
(2)

Clc: compromised drug clearance due to AKI.

Cl: normal drug clearance when no AKI present.

CGA, f: the target unbound drug concentration required for VKORC1 1639G > A (GA) patients.

Cf: the target unbound drug concentration required for VKORC1 AA patients.

fu, AKI: unbound drug fraction under the condition of AKI.

fu: unbound drug fraction in normal condition.

Because the hepatic clearance of warfarin is a capacity-limited process (low hepatic extraction ratio), the hepatic clearance of warfarin could be rounded to the function of the intrinsic hepatic clearance timing the unbound fraction of warfarin21. Finally, the INTadd could be expressed by the formula below [Eq. (3)],

$$\left( {\int {C_{GA,f} } dt - \int {C_{f} dt} } \right)\left( {Cl_{{{\text{int}} ,c}} - Cl_{{\text{int}}} } \right)$$
(3)

Clint,c: compromised intrinsic clearance due to AKI.

Clint: intrinsic clearance in normal condition.

In theory, we assume the relationship between Clint,c and Clint is Clint,c < Clint, where the smaller value of Clint,c was postulated to be the result of compromised hepatic metabolism along with some cases of AKI. There are some pieces of evidence supporting this assumption22,23,24,25,26. Meanwhile, evidence indirectly suggests that patients who have the VKORC1 GA genotype require a higher target unbound drug concentration than patients with the AA genotype, which means CGA,f > Cf27,28,29,30. With the above possible quantitative relationship among intrinsic clearances with and without AKI, and in addition to the probable quantitative relationship between target free drug concentrations CGA,f and Cf, the INTadd expressed as Eq. (3) predicts a negative value. However, attention is needed that the daily warfarin doses that we recorded and used to estimate the INTadd were the dose during the initial stage of anticoagulation instead of the steady state dose. Although it is the steady-state dose of warfarin that correlates with the anticoagulation response, the dose records we use in this study were tightly adjusted based on the INR response during the initial stage after surgery. Figure 1 shows the average INR of our samples during the follow-up and on an average level it rose and achieved the target INR value on day 4 and stayed in the target INR range for most of the time thereafter. Therefore, the dose we recorded probably is a reasonable substitution for the steady-state dose of warfarin.

We did not observe a significant INTadd related to AKI and CYP2C9 polymorphism. Similarly, we hypothesize the explanation for this result based on clinical pharmacology. Using the very similar method as above, we express the INTadd as Eq. (4) below.

$$Cl_{2c9,AKI} \int {\frac{{C_{f} }}{{f_{u,AKI} }}} dt - Cl\int {\frac{{C_{f} }}{{f_{u} }}} dt - \left( {Cl_{c,AKI} \int {\frac{{C_{f} }}{{f_{u,AKI} }}} dt - Cl\int {\frac{{C_{f} }}{{f_{u} }}} dt + Cl_{2c9} \int {\frac{{C_{f} }}{{f_{u} }}} dt - Cl\int {\frac{{C_{f} }}{{f_{u} }}} dt} \right)$$
(4)

After several algebras, the INTadd involving AKI and CYP2C9 finally is expressed as Eq. (5).

$$\left( {Cl_{{{\text{int}} ,2c9,AKI}} - Cl_{{{\text{int}} ,2c9}} } \right)\int {C_{f} dt - \left( {Cl_{{{\text{int}} ,c}} - Cl_{{\text{int}}} } \right)} \int {C_{f} dt}$$
(5)

Clint,2c9,AKI: compromised intrinsic clearance due to AKI of CYP2C9 polymorphism carriers.

Clint,2c9: intrinsic clearance in normal condition among CYP2C9 polymorphism carriers.

Clint,c: compromised intrinsic clearance due to AKI in CYP2C9 wild genotype individuals.

Clint: intrinsic clearance in normal condition among CYP2C9 wild genotype individuals.

As Eq. (5) shows, the INTadd of AKI and CYP2C9 is a function of the difference of differences. This exactly means the difference between the AKI-induced intrinsic drug clearance differences (reductions) for patients with and without CYP2C9 polymorphism determines the direction and values of INTadd (AKI and CYP2C9). Therefore, for patients with and without CYP2C9 polymorphism, the relative reductions of the intrinsic drug clearance due to AKI are, \(\frac{{Cl_{{{\text{int}} ,2c9,AKI}} - Cl_{{{\text{int}} ,2c9}} }}{{Cl_{{{\text{int}} ,2c9}} }}\) and \(\frac{{Cl_{{{\text{int}} ,c}} - Cl_{{\text{int}}} }}{{Cl_{{\text{int}}} }}\), respectively.

We postulate that the degree of the impact of AKI on intrinsic clearance is different for different CYP2C9 genotypes. More precisely, because Clint,2c9, is quantitively smaller than Clint, we think that the effect of AKI on the intrinsic clearance is more profound for CYP2C9 polymorphism carriers than for CYP2C9 wild genotype individuals. This different degree of impact of AKI on the intrinsic clearance possibly results in quantitively similar absolute reduction values for individuals with and without CYP2C9 polymorphism, respectively (i.e., individuals with CYP2C9 polymorphism are more sensitive to AKI’s impact on intrinsic clearance). This is our postulated explanation for our observation about INTadd between CYP2C9 polymorphism and AKI.

To explain the second observation that the influence of mutation of VKORC1 genotype (1639G>A) on average daily warfarin dose depended on the presence or absence of AKI after surgery, we also based our elaboration on pharmacokinetics and pharmacodynamics. First, warfarin has an antagonistic effect on vitamin K epoxide reductase. Second, the dose–effect curve (log-scale) shifts to the right when VKORC1 gene mutation (1639G>A) presents due to less responsiveness to warfarin, substantiated by two recent studies31,32. This right shift makes patients with VKORC1 genotype GG/GA (1639G>A) less responsive to warfarin, which requires a higher drug concentration to achieve the same therapeutic drug response. In the same words, patients with VKORC1 AA genotype require significantly lower therapeutic target drug concentration than those with the 1639G>A GG/GA genotype.

In the case of AKI, we postulate the metabolic function of hepatocytes was negatively affected or even inhibited. This was supported by the research by Dixon et al.35,36. For drugs with a low hepatic extraction ratio such as warfarin, drug hepatic clearance is approximately the direct result of the hepatic intrinsic clearance for that drug. This is reflected by Rowland’s Equation33 where for warfarin, Cl(h) = f × Clint. Because the hepatic intrinsic clearance is a pure measure of the ability of the liver enzymes to metabolize a drug, in the case of negatively changed hepatocyte metabolic function from AKI, we think this reduced enzyme metabolic function probably means a reduced intrinsic hepatic clearance for warfarin. Therefore, for warfarin, the final result is a reduced hepatic clearance, and probably this potents patients to increased warfarin exposure. As a result, in patients with VKORC1 genotype GG/GA and who had AKI, it requires lower daily doses, which explains our secondary observation. Below is the Rowland’s Equation.

$${\text{Hepatic}}\;{\text{Clearance}}:\;{\text{Cl}}({\text{h}}) = {\text{Q}}\left[ {\left( {{\text{f}} \times {\text{Cl}}_{{\text{int}}} } \right)/\left( {{\text{Q}} + {\text{f}} \times {\text{Cl}}_{{\text{int}}} } \right)} \right]$$

Q = hepatic blood flow, f = fraction of free drug (not bound), Clint = intrinsic capacity of the hepatocytes to metabolize a drug.

Our study has several limitations. First, the daily warfarin doses that we recorded were during the initial stage of anticoagulation instead of during the steady state period. However, our healthcare providers monitor the INR and adjust the dosage accordingly in a timely fashion. Therefore, the doses we recorded were associated with the steady-state dosage. Second, we did not conduct multicenter research and the sample size is relatively small, which restricted the statistical power of this study. Third, although we used multi-variable regression to adjust confounders, unknown cofactors might exist and not be adjusted. Most importantly, our study provides a piece of evidence that genetic and clinical factors might interact to alter the drug response of patients taking warfarin.

In conclusion, our study provides evidence that acute kidney injury possibly interacted with VKORC1 polymorphism and this interaction significantly affected the dose of warfarin. For anticoagulation through warfarin, genetic and clinical factors of patients might interact and healthcare providers should consider these potential interactions when titrating the dose of warfarin.

Methods

This study was a single-center cohort study and it was approved by the local institutional review board and an institutional research ethics committee of Nanjing Drum Tower Hospital. All methods were performed in accordance with the relevant guidelines and regulations and informed consent was obtained from all subjects and/or their legal guardian(s). From July 2017 to November 2017, we consecutively collected data from 200 patients who underwent heart valve replacement or repair surgery in the Department of Cardiothoracic Surgery, Nanjing Drum Tower Hospital. Patient demographics, laboratory test results, drug order records, and genetic test results were extracted from the electronic health record system and used for analysis. The STROBE flowchart of this study is presented in Fig. 2.

Figure 2
figure 2

Study flow diagram.

The primary outcome is the additive interaction effect (INTadd) for average daily dose difference which is defined as INTadd = (Dose11 − Dose00) − [(Dose10 − Dose00) + (Dose01 − Dose00)], where Dose in Dosexy is the average daily dose of warfarin during hospitalization following surgery and subscripts x and y serially designate the presence or absence of AKI and warfarin-related gene polymorphism (i.e., CYP2C9 or VKORC1) respectively, where the value of 1 means presence and 0 absence of corresponding factors34. For example, the dose of individuals who neither have AKI nor gene polymorphism is designated as Dose00, whereas the dose of those who have both conditions is Dose11, and the dose of those with either AKI or gene polymorphism is designates as Dose10 or Dose01, respectively. The INTadd could be quantitatively estimated directly from the coefficients of a multiple linear regression model. If the confidence intervals of INTadd do not cross zero, we would conclude there is a significant additive interaction exists. AKI is defined according to the criteria: a ≥ 50% increase of serum creatinine within 7 days or ≥ 0.3 mg/dL within 3 days, or a urine output below 400 mL per day.

Categorical variables were calculated as numbers and percentages, and continuous variables were calculated as the means and SD. We constructed a multiple linear regression model to make the statistical inference. The dependent variable is the average daily dose of warfarin meanwhile independent possible confounders contain age, sex, BSA, comorbidities (i.e., AF, hypertension, CHF), hypoalbuminemia, drug-to-drug interaction due to amiodarone, warfarin-related gene polymorphism (i.e., CYP2C9, VKORC1), and prosthetic valve type (i.e., metal, bio), and warfarin history. AKI is the independent variable of this model and two interaction terms (i.e., between AKI and CYP2C9, and AKI and VKORC1) were added to this regression model, and their regression coefficients represent the INTadd for the corresponding interaction, respectively. Type I statistic error limit is set to 5% and all confidence intervals are set to 95%. All statistical analyses were performed using SAS OnDemand for Academics.