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Computing, Robotics, and Imaging for the Surgical Platform

Impact of cardiac surgery on the autonomic cardiovascular function



The study compares the impact of cardiac surgical interventions on the autonomic function by assessing the pre-operative status and early post-operative recovery of subjects undergoing isolated mitral valve replacement (MVR), isolated aortic valve replacement (AVR), and transcatheter aortic valve implantation (TAVI). We analyze heart rate variability (HRV), baroreflex sensitivity (BRS), and cardiovascular coupling in a longitudinal, i.e., the temporal evolution of autonomic function within each group before, 1 day after, and 7 days after surgery, and a transversal, i.e., between groups of patients at identical time instants, setting.


A total of 243 records from 124 patients (38 MVR, 57 AVR, 29 TAVI) was analyzed. There were no major differences in HRV, BRS, and coupling between the groups in the pre-operative values. Longitudinal analysis proves a depressed autonomic function for MVR and AVR patients after surgery (in MVR patients, p<0.001 for most parameters related to HRV and BRS), but not for TAVI patients. TAVI patients showed no differences before and after surgery. Transversal analysis reveals the strongest impairments throughout HRV and BRS parameters for MVR patients. In the case of AVR, the autonomic regulation was also depressed, though not to the extent as seen in MVR patients. Cardiovascular coupling by means of symbolic coupling traces (SCT) was shown to be clearly reduced the day after surgery in MVR and AVR patients. In TAVI patients, there was no reduction but already the day after surgery developed additional couplings.


Our results prove a characteristic behavior of the autonomic function in relation to the gravity of the surgical procedure. As variables related to the process of the surgical interventions were kept similar between patient groups, direct surgical trauma is assumed to be responsible for the heavy decrease of autonomic function in the case of MVR. TAVI, in contrast, proves to be very suited in terms of maintaining the autonomic function in comparison to AVR. Further studies incorporating larger populations should confirm our findings and relate the autonomic state to malignant events after surgical interventions to build the fundament of a strengthened inclusion of cardiovascular variability and coupling analysis in the pre-, peri-, and post-operative care.


The autonomic function has been shown to be a strong predictor of cardiac mortality after myocardial infarction [1]. An increased sympathetic activity and/or a reduced vagal activity, quantified by means of baroreflex sensitivity (BRS) and heart rate variability (HRV), respectively, were found to be independent prognostic markers [2]. Even for patients without a history of heart failure, an impaired vagal tone was shown to be predictive of fatal cardiac events [3].

Against this background, even in the context of surgery, the autonomic function has attracted interest. In pre-, peri-, and post-operative settings, a detailed analysis of the cardiovascular variability may contribute to an improved care by identifying persons at risk, adjust required interventions to individual needs, and assess short- and long-term trends to guide therapeutic actions after surgery. However, although the basic knowledge about the autonomic cardiovascular function has been continuously growing in the last decades, alterations in the cardiovascular variability related to cardiac surgery remain to be characterized in the future. Such a characterization is difficult as different influence factors - most importantly anesthesia, the use of the heart-lung machine, and direct surgical trauma - are assumed to possibly affect the cardiovascular variability.

Most previous work which is related to the impact of cardiac surgery on the autonomic function was directed at coronary artery bypass surgery. Laitio et al. [4] proved a drop in HRV 24 h after surgery. Bauernschmitt et al. [5] confirmed this drop for various measures of autonomic cardiovascular function including parameters of heart rate variability, BRS, and blood pressure variability (BPV). Soares et al. [6] expanded the observational interval and could show that after an early drop there occurs a recovery of autonomic function after 30 days. Johannson et al. [7] reported a partial recovery after 5 months while 5 weeks after surgery the autonomic function kept on being impaired. A similar time frame was described by Demirel et al. [8] who reported a recovery in HRV parameters to occur 3 months after surgery. Less work has spent on the impairment after cardiac valve surgery so far. In general, an impairment of autonomic function similar to the one after coronary artery bypass surgery can be expected. However, the degree of impairment can be assumed to vary with the type of intervention, i.e., which valve is concerned, and chosen operational procedure. In this regard, Lakusic et al. [9] showed that the impairment in autonomic function 3.8 months after surgery was much more pronounced for mitral valve implantation compared to aortic valve implantation.

Our own work now seeks to deepen the understanding of autonomic impairment immediately after cardiac valve surgery. The presented contribution compares the impact of different surgical procedures on the autonomic cardiovascular regulation by assessing the pre-operative status and early post-operative recovery of subjects undergoing isolated mitral valve replacement (MVR), isolated aortic valve replacement (AVR), and transcatheter aortic valve implantation (TAVI) whose feasibility and benefits, particularly considering high-risk patients, have been demonstrated [10, 11]. By comparing surgical interventions of differing gravity, we try to confirm the hypothesis of a likewise impairment of the autonomic function by analyzing cardiovascular variability and coupling.

We previously analyzed the patients undergoing the depicted interventions by means of their HRV, BPV, and BRS in pairwise settings, i.e., AVR vs MVR and AVR vs TAVI [12, 13]. The present contribution pooled together and widened the mentioned studies in terms of implicated patients, applied methods, and finally drew conclusions. That is to say, we review major findings related to HRV and BRS in the face of a more complete patient collective and complement such considerations by the analysis of cardiovascular coupling between the heart rate (HR) and blood pressure (BP) by means of symbolic coupling traces (SCT) [14] which are applied for the first time in the presented setting.


Surgical procedures

For MVR and AVR, peri-operative medication as well as anesthesia was standardized. Induction was performed with sufentanil and midazolam. For maintaining narcosis, a continuous infusion of propofol was given. Muscle relaxation was achieved by pancuronium. Operations were carried out with cardiopulmonary bypass in mild hypothermia (32°C to 34°C) and pulsatile perfusion mode; cold crystalloid cardioplegia was used for cardiac arrest after cross-clamping the aorta. Surgical access to the AV was achieved by horizontal transection of the anterior aspect of the ascending aorta. Access to the MV was performed by opening the left atrium close to the interatrial groove. After declamping, most of the patients needed one countershock to terminate ventricular fibrillation.

TAVI was performed with the patients under general anesthesia. Pharmacologic treatment was analogous to the surgical interventions except for muscle relaxation, which was not applied in transcatheter patients. TAVI was conducted either by transfemoral access or through the left ventricular apex by a surgical team in a hybrid suite [15]. After the procedure, the patients were transferred to the intensive care unit and usually extubated within 2 to 4 h. Post-operative medical and pharmacologic care was again adapted to the MVR and AVR patients as far as possible.

Recording protocol and subjects

Thirty-minute recordings in supine position were acquired in three sessions: before (preOP), 1 day after (1d postOP), and 7 days after (7d postOP) surgery. From each patient and session, we analyzed signal segments of 20 min following the first 10 min of equilibration and familiarization to the recording setup. Measurements comprised a single-channel electrocardiogram (ECG), respiration (i.e., breathing excursion), and non-invasive continuous blood pressure. The latter was acquired either from the radial artery (Colin Medical Instruments, San Antonio, TX, USA) or recorded by using a finger cuff (Task Force Monitor, CNSystems, Graz, Austria). Patients with concomitant coronary heart disease and those who did not show stable sinus rhythm were excluded. Table 1 gives a summary on available patients and surgical parameters.

Table 1 Patient characteristics

The study was approved by the local ethics committee of the Technical University of Munich. Informed consent was obtained from all subjects.

The times between consecutive R-peaks were extracted from the ECG. From the continuous BP, beat-to-beat systolic blood pressure (SBP) was extracted. Premature beats, artifacts, and noise were excluded using an adaptive filter considering the instantaneous variability of both beat-to-beat intervals and beat-wise SBP, respectively [16].

Analysis of the autonomic function

Univariate analysis of HRV

HRV describes the variability of the instantaneous HR, i.e., the variability between intervals of consecutive normal heart beats (beat-to-beat intervals, BBI). Analysis of HRV can be done using various parameters from different domains. A fundamental grading of approaches to analyze HRV was introduced by the Task Force in 1996 [17]. In [17] time domain, frequency domain, and non-linear measures are distinguished.

Our analysis incorporated parameters from the three aforementioned domains. HRV parameters were derived from the original time series, either after applying a standard Fourier transform or after applying a symbolic transform [18]. Regarding the latter, two variants were used. On the one hand, a transform was used which yields a binary symbolic representation s 1 x (n). From an input denoted as x(n), the binary symbol sequence s 1 x (n) was derived by applying the rule

s 1 x (n)= 1 if x ( n ) x n 1 10 ms 0 if x ( n ) x n 1 < 10 ms

On the other hand, we applied a transform which yields a multivariate representation. The multivariate symbol sequence s 2 x (n) resulted from

s 2 x (n)= 0 if μ < x ( n ) 1 + a · μ 1 if 1 + a · μ < x ( n ) < 2 if 1 a · μ < x ( n ) < μ 3 if 0 < x ( n ) 1 a · μ

where μ denotes the mean value of x (n), i.e., the mean BBI, and a equals 0.05 [16]. From s 1 x and s 2 x , words of six and three symbols, respectively, were composed. From the resulting word sequences, two parameters - POLVAR10, the probability of low variability, and FORBWORD, the number of forbidden words - were derived. POLVAR10 was calculated by relating the number of words which show no variability, i.e., 000000, to all words. FORBWORD counts all three-symbol words which occur never or seldomly, i.e., one occurrence or no occurrence.

Table 2 summarizes all parameters which have been analyzed to characterize the HRV along with their meanings. Note that shannon is derived directly from the histogram of the time series data using the expression

shannon= i p i log p i
Table 2 Used HRV parameters

where p i are the bins of the BBI histogram. More details regarding the calculation of the used parameters and their informative value can be found in [17] and [16]. Retzlaff et al. [12, 13] applied some additional univariate features (selected HRV features and features related to the BPV) which, due to the uniformity of the results obtained by using those features compared to the selected ones, were not separately considered in this contribution.

Bivariate analysis

Bivariate methods exploit the interdependency of the instantaneous HR and the beat-to-beat BP. Although bivariate techniques have been in the focus of researchers since decades, bivariate analysis still shows considerable methodological progress. Nowadays, of particular interest are methods which allow for a proper information retrieval in the face of typical biological phenomena such as non-linearity and instationarity. As bivariate methods, we considered for our analysis BRS and coupling phenomena.

Parameters related to BRS were extracted by using the dual sequence method (DSM). Similar to standard sequence methods (e.g., [19]), DSM exploits slopes in blood pressure and heart rate. DSM assesses bradycardic (an increase in SBP that causes an increase in BBI) and tachycardic (a decrease in SBP that causes a decrease in BBI) fluctuations (see Figures 1 and 2) in a synchronous and in a shifted mode. Thereby, bradycardic fluctuations are attributed to the vagal spontaneous baroreflex whereas tachycardic fluctuations allow investigations on the relationship of vagally and sympathetically mediated fluctuations in BBI [20]. For this contribution, both types of fluctuation were analyzed in a synchronous and in a three-beat shifted mode. The most important parameters which were calculated were the mean slopes of BRS (tachycardic BRS and bradycardic BRS, both in ms/mmHg).

Figure 1
figure 1

DSM basics. Basic scheme to assess the baroreflex sensitivity by means of DSM. DSM evaluates synchronous and shifted slopes in HR and SBP. The example considers slopes of three consecutive beats in a synchronous and a shifted mode. See [20] for details.

Figure 2
figure 2

Slopes considered by DSM. Analysis of relevant slopes by using DSM. DSM exploits tachycardic and bradycardic slopes which can be further analyzed in sectors. See [20] for details.

Coupling was assessed by analyzing symbolic coupling traces (SCT). In general, the analysis of cardiovascular couplings targets the interconnection between HR and BP by finding a pattern in both signals which exhibit mutual causality. SCT particularly was developed by Wessel et al. to quantify couplings in symbolic time series by means of their bivariate word distribution [14]. Figure 3 outlines the scheme underlying SCT: from a symbolic representation of two time series x (n) and y (n) derived by

s z (n)= 1 if z ( n ) z n + 0 if z ( n ) > z n +
Figure 3
figure 3

SCT basics. Scheme for calculating the bivariate word distribution which underlies SCT. At first, a symbolic representation of two time series is derived by means of encoding as depicted in Equation 3 (=1). From the symbolic representation, words of length l=3 and respective word sequences are derived which establish a joint bivariate probability distribution. In this example, the delay between word pairs is τ=0.

words of length l are composed. The occurrence of words in the respective word sequence w x (n) and w y (n) builds up a bivariate word distribution. The word distribution shows the probability of a joint occurrence of two words W i and W j in w x (n) and w y (n). By introducing a time lag τ (with τ restricted to integer numbers), time shifts within the word sequences are considered. The resulting bivariate probability distribution p i j (τ)=P(wx(n)=W i ,wy(n+τ))=W j ) can be interpreted as a quadratic matrix. By calculating its trace

T= i = j p ij (τ)

and the diametric fraction

T ¯ = i = 1 , , d , j = d + 1 i p ij (τ)

where d is the number of different patterns; one can derive the coupling parameter Δ T by

ΔT=T T ¯

Δ T is a measure of the strength of a coupling (Δ T>0 describes symmetric couplings, Δ T<0 describes diametric couplings). The significance of found couplings is assessed by incorporating surrogate data. Details regarding this process and SCT in general can be found in [21] and [14], respectively. Significant couplings for τ<0 can be attributed to the HR driving the BP whereas the BP is assumed to drive the HR for couplings with τ≥0.

For the current work, a displacement of θ=1 to construct the symbol sequences, a word length l=3, and lags τ=−5,…,5 were used.

Test regime and statistics

We carried out transversal (cross-sectional) and longitudinal analyses. The transversal analysis focused on differences between surgical interventions at identical time instants, i.e., groups MVR, AVR, and TAVI were compared at preOP, 1d postOP, and 7d postOP. The longitudinal analysis aimed at the temporal development (from preOP over 1d postOP to 7d postOP) within each surgical intervention.

In both settings, we used Kruskal-Wallis tests to check for significant group differences. Wilcoxon-Mann-Whitney U tests were used for pairwise post hoc tests where Kruskal-Wallis tests revealed significant differences. In the case of the longitudinal setting, we avoided to use a repeated measures procedure as the overlapping data otherwise would have forced us to exclude all patients of whom at least one of the three measurements was not usable/available (which could be attributed to technical, (patho-)physiological, and administrative reasons). An increased probability of a type II error thus should be kept in mind when reading the results [22].

p values less than 0.05, 0.01, and 0.001 were considered as significant, highly significant, and very highly significant, respectively. For pairwise post hoc testing, the significance level was adjusted according to Bonferroni’s law to account for multiple comparisons arising from the time instants (preOP, 1d postOP, and 7d postOP) or from the type of intervention (AVR, MVR, and TAVI), respectively.

Results and discussion

Results from HRV analysis

Table 3 summarizes the results from HRV analysis. Figure 4 illustrates selected results. For parameters which showed significant group differences in the Kruskal-Wallis test, the results of transversal post hoc tests are shown above the respective boxes. The results of longitudinal post hoc tests are omitted in the graphic for clarity. These results can be found in Table 4.

Table 3 Results from HRV analysis
Figure 4
figure 4

Results from HRV analysis. Results for selected HRV parameters. Shown as boxes are median, first quartile, and third quartile. Whiskers extend to data points closest to 1.5 times the interquartile range. Outliers are marked as circles. Transversal post hoc tests (indicated by the existence of horizontal bars) were included for those time instants where the Kruskal-Wallis test showed significant group differences (cf. Table 3). Results from longitudinal post hoc testing were omitted in the graphic for clarity and are given in Table 4. * p<0.05; ** p<0.01; *** p<0.001.

Table 4 Results of longitudinal testing

Apart from the power ratio PLF/PHF, there were no differences between the groups in the pre-operative values. The longitudinal analysis proves an apparent decline in autonomic variability for MVR (very highly significant in all parameters apart from the frequency domain parameters). Regarding AVR patients, the decline is not that distinct as in MVR patients but still highly significant for most of the considered HRV parameters. In contrast, TAVI patients do not show any significant difference over the time in none of the evaluated parameters.

Post hoc analysis for prevailing group differences revealed significant differences between preOP and 1d postOP and between preOP and 7d postOP in most cases. Between 1d postOP and 7d postOP, no differences were found.

Results from BRS analysis

Table 5 and Figure 5 show the results concerning the BRS. Analogous to the results regarding the HRV, Figure 5 shows only the results of transversal post hoc tests. The results of longitudinal post hoc tests can be found in Table 4.

Table 5 Results from BRS analysis
Figure 5
figure 5

Results from BRS analysis. Results for BRS parameters. Shown as boxes are median, first quartile, and third quartile. Whiskers extend to data points closest to 1.5 times the interquartile range. Outliers are marked as circles. Transversal post hoc tests (indicated by the existence of horizontal bars) were included for those time instants where the Kruskal-Wallis test showed significant group differences (cf. Table 5). Results from longitudinal post hoc testing were omitted in the graphic for clarity and are given in Table 4.

The characteristics of BRS are very similar to the ones obtained from HRV analysis: MVR is associated with a strong depression. A less pronounced depression is found for AVR, and TAVI shows no depression at all.

Results of analysis by means of SCT

Figure 6 shows the results concerning SCT. Both MVR and AVR patients show a typical behavior previous to the surgical intervention consisting of two significant couplings: the symmetric lag at τ=0 is considered to reflect the mechanically and neurally induced fluctuations from respiration. The diametric lag at τ=−2 represents a vagal feedback from the BBI to the SBP [14]. TAVI patients, however, show only one significant coupling in the pre-operative analysis, namely a diametric lag at τ=−2. Considering the longitudinal analysis, the couplings in MVR and AVR patients are completely suppressed at 1d postOP. A partial recovery can be observed 7 days after surgery. At 7d postOP, the lags τ=0 and τ=−2 have recovered in the case of MVR and AVR, respectively. In TAVI patients, however, there evolve specific couplings until three significant couplings at lags τ=1, τ=−1, and τ=−2 can be found at 7d postOP.

Figure 6
figure 6

Results of analysis by means of SCT. Results of bivariate analysis by SCT. Shown are median values of Δ T±SD for all interventions and recorded time instants. Horizontal lines indicate significance limits, and gray-colored bars indicate significant couplings.


Longitudinal analysis proves an apparently depressed autonomic function after surgery for MVR and AVR. The depression is expressed by decreased meanNN, sdNN, shannon, PLF/P, PLF/PHF, BRStachy, and BRSbrady and increased values of symbolic parameters FORBWORD and POLVAR10 (in MVR patients, p<0.001 for all time domain HRV and BRS parameters). A decreased cardiovascular variability is consistent to the findings described by Brown and coworkers who reported a depressed HRV and BRS right after coronary artery bypass graft surgery [23, 24]. The depression of autonomic function manifests in all parameters related to HRV and BRS apart from PHF/P. For PHF/P, no significant behavior was found. A possible interpretation could be an overall decline of the spectral power by which PHF is normalized to obtain PHF/P. A decrease in P can mask a specific high-frequency behavior. However, PLFnu which is also normalized by the spectral power does show a decrease. This finding hints at a stronger decrease of PLF compared to the decrease in PHF which is supported by the decreasing ratio PLF/PHF. Further evidence for a stronger impairment of the sympathetic than that of the parasympathetic branch is given by the baroreflex parameters: here the tachycardic BRS BRStachy is slightly more affected by surgery than BRSbrady which is vagally mediated. A potential explanation in terms of electrophysiology and innervation of the heart could be the vagal innervation being predominantly present in the endocardium, while sympathetic fibers end at both the epi- and endocardium [25]. By affecting predominantly the surface of the heart, a stronger influence on the sympathetic system could be the consequence.

A recovery effect as described by Brown et al. [24], i.e., in our setup a recreation of autonomic function between 1d postOP and 7d postOP, was not consistently observed, neither MVR patients nor AVR patients. Statistically, this is expressed by non-significant post hoc tests between 1d postOP and 7d postOP within the longitudinal analysis. Most likely, this is due to the monitored time frame of only 7 days. The reported recovery of autonomic function was related to a 12-week observation interval [24]. The results published by Soares et al. [6] support this hypothesis by describing a drop in autonomic function right after coronary artery surgery which is most distinct 6 days after surgery. A recovery is observed 30 days after surgery. Johansson et al. [7] report an ongoing impaired baroreflex function 5 weeks after coronary artery bypass grafting. A partial recovery is found after a 5-month interval. In spite of differing time intervals, there is much evidence for a long-term recovery to occur. A non-existing recovery at 7d postOP, thus, must not be misinterpreted as a sign of missing recovery at all. In fact, some recovery is expected and a long-term follow-up of our patients would have been of high interest in order to relate the short-term findings to the long-term development and, maybe, throw light on mechanisms which affect the duration and degree of the long-term recovery. However, our investigation focused on the short-term impact, and a long-term follow-up was not considered by the study design.

TAVI patients, in contrast, show a behavior which differs from MVR and AVR patients: TAVI does not introduce significant longitudinal changes at all. This indicates the benefit of using TAVI in terms of maintaining the cardiovascular autonomic function compared to AVR. The more favorable behavior can be attributed to different factors - TAVI does not require the use of the heart-lung machine nor a cardioplegic arrest of the heart. Moreover, the time of anesthesia is significantly shortened compared to AVR as indicated by Table 1. Notably, the TAVI group showed no significant decline in HRV and BRS, although the mean age was significantly higher than in patients undergoing MVR and AVR, respectively (the difference arises from the current consensus on using TAVI in high-risk patients). Due to the effects of aging, the TAVI group could be assumed to be prone to cardiovascular instability and impairment by the surgical intervention. However, this is not the case which in our opinion strengthens the assumption of TAVI being a cardiovascular-compliant intervention. These results can be seen in line with the impairment after coronary artery bypass which previously was shown to vary with the degree of invasiveness of the intervention [26].

As regards transversal comparisons, the quantitative behavior of MVR and AVR turns out to be of high interest. Though both interventions cause a depression of cardiovascular autonomic function, the effect is much more pronounced for MVR. The time of anesthesia and operational factors, as factors contributing to the differences between TAVI and MVR as well as TAVI and AVR, respectively, cannot readily explain the differing behavior. In fact, MVR must be assumed as the graver of both interventions. In MVR the caval veins are extensively dissected and the heart is opened by an incision right posterior to the interatrial groove, where an abundance of autonomic nerve endings are supposed to be. For AVR the heart is not strongly affected but the valve is approached by an incision in the anterior aspect of the ascending aorta only. Our results clearly reflect this difference in terms of a more pronounced impairment in the case of MVR. As clinical factors did not differ significantly (see Table 1) and as the handling of patients was standardized between groups of MVR and AVR, these results strongly suggest direct surgical trauma to be responsible for the decrease in HRV and BRS.

SCT provides additional insights compared to the parameters describing HRV and BRS. For MVR and AVR, the result of SCT are in line with the behavior which can found in HRV and BRS parameters: starting from typical couplings at τ=0 and τ=−2 [14, 21, 27], we found a heavy impairment of autonomic function which manifests in a loss of significant couplings for MVR and AVR 1 day after surgery. Such a reduction of coupling indicates a reduced regulatory capability, thus confirming the findings of HRV and BRS. The partial recovery at 7d postOP is difficult to interpret, but it indicates different effects of MVR and AVR on the mechanisms underlying the two typical coupling terms.

For TAVI again a different behavior was observed. After a depressed coupling prior to surgery, significant couplings evolve over time. The missing coupling at lag τ=0 might be related to the higher age and a lower ejection fraction of the group. Both factors can be assumed to alter the respiratory-induced blood pressure variation. A preoperatively reduced normalized low-frequency power of blood pressure variability as compared to AVR patients is in line with this observation [13].

A distinct explanation for the post-operative development is missing and its interpretation owing to the small sample size and again the short observation interval hardly possible. We assume that the general mechanisms which take effect during respiratory sinus arrhythmia are recovered by implanting the aortic valve. As a consequence, an increased blood supply during inspiration causes an acceleration of the heart rate. Factors related to the age and again a limited ejection fraction might cause the observed phase delay (not the typical lag at τ=0 is found) which can indicate that respiratory-induced blood pressure variations are existent but affect the peripheral measurement site by one beat displaced. However, evolving couplings generally suggest a recovery of autonomic functions after a successful surgical intervention. Further studies should confirm our hypotheses by an extended analysis of the recovery period.


It was shown that cardiac surgery is not only related to a decline of cardiovascular autonomic function but that there is a strong relation between the type of intervention and its effects on the cardiovascular variability and coupling, respectively. In particular, TAVI proved to be beneficial in terms of maintaining the autonomic function compared to AVR. Moreover, a more pronounced suppression of cardiovascular variability in the case of MVR compared to AVR identified direct surgical trauma as a key factor for the resulting impairment of the autonomic function. Further studies incorporating larger populations should confirm our findings and relate the autonomic state to malignant events after surgical interventions to build the fundament of a strengthened inclusion of cardiovascular variability and coupling analysis in the pre-, peri-, and post-operative care.


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This study was supported by grants from the Deutsche Forschungsgemeinschaft (BA 1581/4-1, BR 1303/8-1, KU 837/20-1, BA 1581/6-2, BR 1303/8-3, KU-837/29-2) as well as the European projects EU NEST-pathfinder and BRACCIA.

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Correspondence to Sebastian Zaunseder.

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The authors declare that they have no competing interests.

Authors’ contributions

SZ drafted the manuscript, carried out the statistical analysis, and worked on the interpretation of current results. MR prepared the patient information and the parameters of HRV, BRS, and SCT and worked on the interpretation of current results. JK, HM, and RB co-developed the study design and provided the methodical basis for the analysis which we carried out. NW co-developed the study design, co-drafted the preceding papers where the analysis of autonomic function was conducted in a pairwise setting, and worked on the interpretation of current results. All authors read and approved the final manuscript.

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Zaunseder, S., Riedl, M., Kurths, J. et al. Impact of cardiac surgery on the autonomic cardiovascular function. J Comput Surg 1, 9 (2014).

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