Abstract
Background
Intraoperative hypotension (IOH) is a frequent and clinically important complication associated with adverse postoperative outcomes. Early prediction may facilitate timely intervention, although existing models have limitations in integrating multimodal physiological data and patient-specific characteristics.
Methods
We developed Hypotension Hybrid Forecast (HypoBridCast), a hybrid architecture integrating 1D Convolutional Layer (Conv1D) and Transformer (TF) modules. The model integrates intraoperative waveform data (arterial pressure, electrocardiogram, photoplethysmogram, and capnography) with preoperative clinical variables (including demographic characteristics, medical history, laboratory results, and surgical and anesthetic variables). Data from the VitalDB database (n = 3,369) were used for model development and internal evaluation, and an independent cohort from Zhongda Hospital (n = 437) was used for external evaluation. Model performance for predicting IOH (MAP ≤ 65 mmHg for ≥ 1 min) 5, 10, and 15 min in advance was assessed using AUROC, AUPRC, and calibration metrics.
Results
HypoBridCast achieved strong discriminative performance across prediction horizons in both internal and external evaluations (e.g., internal 5-min AUROC 0.9442 [95% CI 0.9427–0.9456] and AUPRC 0.9387 [0.9376–0.9398]). Compared with Mono-ART models, performance was improved, whereas differences versus multi-channel waveform models were modest. The addition of preoperative variables provided limited and inconsistent gains across datasets. In contrast, performance gains over simple MAP-based baseline models were more pronounced. Calibration was acceptable overall, with some reduction observed in the external cohort, particularly at longer prediction horizons.
Conclusions
The proposed hybrid deep learning framework achieved strong performance for short-term prediction of intraoperative hypotension using routinely collected clinical data. Multimodal integration and preoperative variables provide incremental improvements. Further work is needed to improve generalizability and calibration before clinical deployment.
Trial registration
ChiCTR2500099041
Supplementary Information
The online version contains supplementary material available at 10.1186/s12871-026-03888-8.
Keywords: Intraoperative hypotension prediction, Artificial intelligence, Transformer, Waveform analysis
Background
Maintaining stable intraoperative blood pressure is fundamental to safe surgical care, ensuring adequate organ perfusion and reducing postoperative complications [1, 2]. Intraoperative hypotension (IOH) presents an immediate and prevalent threat. Substantial evidence shows that both the depth and duration of mean arterial pressure (MAP) below 60–70 mmHg significantly increase the risk of myocardial injury, acute kidney injury, and mortality [3]. Notably, IOH correlates more strongly with 30-day postoperative mortality than hypertension [4].
The dynamic intraoperative environment—shaped by surgical phases, patient variability, and anesthesiologist workload—makes blood pressure fluctuations common and often difficult to manage. Even brief episodes of severe hypotension can lead to organ damage, with risk compounding over time [5]. Timely detection is essential, yet challenging, as anesthesiologists juggle multiple tasks under time pressure and fatigue. This highlights the need for predictive tools that enable proactive IOH management, as both premature and delayed interventions may be suboptimal [5].
Traditional IOH prediction models typically use machine learning (such as logistic regression, [6] naive Bayes, [7] or random forest [8]) on hand-crafted features from arterial waveforms, limiting their capacity to capture complex physiological patterns. While deep learning architectures such as Convolutional Neural Networks (CNNs) and Recurrent Neural Networks (RNNs) allow automatic feature learning, [9–11] many existing models analyse only single physiological signals (usually arterial waveforms) and overlook crucial preoperative baseline information (e.g., demographics, comorbidities), thereby restricting personalised risk prediction.
To address these limitations, we propose Hypotension Hybrid Forecast (HypoBridCast), a novel model combining 1D Convolutional Layers (Conv1D) for local pattern extraction [12] with Transformer (TF) architectures to model long-range physiological dependencies [13]. HypoBridCast distinctively integrates analyses of multiple intraoperative waveforms with preoperative baseline characteristics for comprehensive and individualised risk assessment. We hypothesise that HypoBridCast can outperform existing models in predicting hypotension 5, 10, and 15 min in advance. Therefore, this study aims to develop and rigorously validate HypoBridCast as an early IOH warning system, comparing its discrimination, calibration, stability, and generalisability against current mainstream methods through internal and external evaluations.
Materials and methods
This study developed an intraoperative hypotension prediction model for non-cardiac surgery patients using a Conv1D-TF deep learning architecture (Fig. 1), adhering to TRIPOD-AI guidelines [14]. The research received ethical approval from Zhongda Hospital, Southeast University (No. 2024ZDSYLL476-P01) and was registered with the Chinese Clinical Trial Registry (ChiCTR2500099041). As a retrospective study, informed consent was waived, and there was no patient or public involvement in the research.
Fig. 1.
Overall workflow of the Study. Data Collection: The development dataset comes from Vital DB (Seoul National University Hospital, Korea), and the external evaluation dataset is from Zhongda Hospital, Southeast University. The data is divided into training set (60%), validation set (10%), and evaluation set (30%). Data Preprocessing: The waveform data is cleaned (removal of abnormal heart rate, MAP, PPG, EtCO2) and downsampled to 100 Hz. Static data is processed with Z-score normalization and One-Hot encoding, with missing values imputed. Model Development: Features are passed to the Conv1D-Transformer model for further processing. The model outputs a binary classification for predicting intraoperative hypotension. Model Performance: The model's performance is evaluated using ROC curves, Precision-Recall curves (PR curves), and calibration curves, with SHAP used for interpretability analysis. Visualization: The final interface displays realtime intraoperative waveform data and the model's prediction results for each patient
Study population and data sources
The development dataset utilised the publicly available Vital DB, [15] containing diverse data including intraoperative waveforms from 6,388 non-cardiac surgery patients in South Korea (June 2016–August 2017). An external evaluation dataset from Zhongda Hospital, Southeast University, comprising non-cardiac surgery patients (March 20, 2024–August 9, 2024), was used to assess model generalisability.
Patients and outcome definitions
Adults (≥ 18 years) with ASA physical status I–IV undergoing non-cardiac surgery under general anaesthesia with invasive arterial pressure monitoring were included. Patients without complete or available intraoperative waveform data were excluded.
The primary outcome was intraoperative hypotension, defined as a MAP ≤ 65 mmHg sustained for ≥ 1 min. Non-hypotension was defined as MAP > 65 mmHg for at least 20 min. [11] Time segments not meeting either definition were excluded. No exclusion was applied based on MAP at the start of the prediction window (t = 0).
Included parameters
Data for model development and internal evaluation were obtained from the VitalDB dataset, and external evaluation data from Zhongda Hospital. Parameters included preoperative static features and intraoperative dynamic waveform signals.
Preoperative static features (Table 1) were selected to capture individual variability across four domains: (1) demographics (age, sex, body mass index); (2) medical history (e.g., hypertension, diabetes, arrhythmia); (3) preoperative laboratory tests (e.g., haemoglobin, albumin, creatinine); and (4) surgical and anaesthetic characteristics (ASA classification, emergency status, surgical approach, and position). Missing rates and value ranges are provided in Table S1.
Table 1.
Patients characteristics in the development (Vital DB) and external evaluation (ZDH) set
| Characteristics | cases, No. (%) | |||
|---|---|---|---|---|
| Development set (Vital DB) | External Evaluation set (ZDH) (n = 437) | |||
| Training set (n = 2021, 60%) | Validation set (n = 337, 10%) | Internal Evaluation set (n = 1011, 30%) | ||
| Preoperative characteristics | ||||
| Age, Median (IQR), y | 60.0 (50.0—69.0) | 62.0 (53.0—71.0) | 61.0 (50.0—69.0) | 65.0 (55.0—73.0) |
| Sex | ||||
| Male, n (%) | 1,116 (55.2) | 200 (59.3) | 549 (54.3) | 224 (51.3) |
| Female, n (%) | 905 (44.8) | 137 (40.7) | 462 (45.7) | 213 (48.7) |
| BMI, Median (IQR) | 23.0 (20.7—25.2) | 22.9 (21.1—25.1) | 22.8 (20.8—25.2) | 23.9 (21.5—26.3) |
| Preoperative comorbidities | ||||
| Hypertension, n (%) | 672 (33.3) | 112 (33.2) | 351 (34.7) | 185 (42.3) |
| Diabetes, n (%) | 227 (11.2) | 48 (14.2) | 126 (12.5) | 79 (18.1) |
| Arrhythmia, n (%) | 36 (1.8) | 3 (0.9) | 11 (1.1) | 38 (8.7) |
| Preoperative laboratory results | ||||
| Hemoglobin, Median (IQR), g/dL | 12.9 (11.6—14.2) | 13.0 (11.4—14.1) | 12.9 (11.5—14.1) | 12.7 (11.6—13.9) |
| Platelet count, Median (IQR),/nL | 226.0 (179.0—278.0) | 233.0 (182.0—285.0) | 235.0 (193.0—280.0) | 189.0 (155.0—233.0) |
| Albumin, Median (IQR), g/dL | 4.1 (3.8—4.4) | 4.1 (3.8—4.4) | 4.1 (3.8—4.4) | 4.1 (3.8—4.3) |
| Sodium, Median (IQR), mmol/L | 140.0 (139.0—142.0) | 141.0 (139.0—142.0) | 140.0 (139.0—142.0) | 141.5 (139.4—143.2) |
| Potassium, Median (IQR), mmol/L | 4.2 (3.9—4.4) | 4.2 (4.0—4.4) | 4.2 (4.0—4.4) | 3.9 (3.7—4.1) |
| Glucose, Median (IQR), mg/dL | 105.0 (94.0—127.0) | 105.0 (95.0—128.0) | 104.0 (94.0—128.0) | 90.7 (80.6—111.2) |
| Alanine transaminase, Median (IQR), IU/L | 18.0 (13.0—27.0) | 18.0 (12.0—26.0) | 18.0 (13.0—27.0) | 17.0 (12.0—27.0) |
| Aspartate transaminase, Median (IQR), IU/L | 21.0 (17.0—26.0) | 20.0 (17.0—26.0) | 20.0 (17.0—26.0) | 20.0 (16.0—27.0) |
| Activated partial thromboplastin time, Median (IQR), sec | 32.1 (30.0—34.5) | 32.0 (29.8—34.4) | 32.2 (30.0—34.4) | 30.0 (28.1—31.9) |
| Blood urea nitrogen, Median (IQR), mg/dL | 14.0 (11.0—18.0) | 15.0 (12.0—18.0) | 14.0 (11.0—18.0) | 16.2 (13.2—19.6) |
| Creatinine, Median (IQR), mg/dL | 0.8 (0.7—1.0) | 0.8 (0.7—1.0) | 0.8 (0.7—1.0) | 0.8 (0.7—1.0) |
| Surgery information | ||||
| ASA grade, n (%) | ||||
| Ⅰ | 457 (22.6) | 72 (21.3) | 217 (21.5) | 8 (1.8) |
| Ⅱ | 1,237 (61.2) | 221 (65.6) | 644 (63.7) | 309 (70.7) |
| Ⅲ | 301 (14.9) | 40 (11.9) | 141(13.9) | 107 (24.5) |
| Ⅳ | 26 (1.3) | 4 (1.2) | 9 (0.9) | 13 (3.0) |
| Emergency operation, n (%) | 283 (14.0) | 40 (11.9) | 118 (11.7) | 69 (15.8) |
| Supine position, n (%) | 1,047 (51.8) | 171 (50.7) | 495 (49.0) | 197 (45.1) |
| Surgery approach, n (%) | ||||
| Open | 852 (42.2) | 143 (42.4) | 407 (40.3) | 314 (71.9) |
| Videoscopic | 1,086 (53.7) | 178 (52.8) | 570 (56.4) | 101 (23.1) |
| Robotic | 83 (4.1) | 16 (4.7) | 34 (3.4) | 22 (5.0) |
| Postoperative information | ||||
| Duration of surgery, Median (IQR), min | 145.0 (90.0—215.0) | 150.0 (95.0—230.0) | 145.0 (90.0—218.0) | 134.8 (95.8—190.0) |
| Postop in-hospital stay, Median (IQR), day | 6.2 (3.4—8.5) | 6.2 (2.6—8.6) | 5.6 (3.4—9.3) | 5.9 (4.0—9.8) |
| Postop ICU stay, Median (IQR), day | 0.0 (0.0—1.0) | 0.0 (0.0—1.0) | 0.0 (0.0—1.0) | 0.0 (0.0—0.0) |
| In-hospital mortality, n (%) | 22 (1.1) | 3 (0.9) | 11 (1.1) | 0 (0.0) |
| Dataset composition | ||||
| Hypotensive event, segments (%) | 6357 (41.31) | 983 (37.53) | 3147 (39.24) | 542 (23.92) |
| per patient, segments (SD) | 3.37 (5.24) | 3.09 (4.89) | 3.31 (4.97) | 1.23 (2.67) |
| Non-hypotensive event, segments (%) | 9032 (58.69) | 1636 (62.47) | 4872 (60.76) | 1724 (76.08) |
| per patient, segments (SD) | 4.78 (3.68) | 5.14 (3.63) | 5.12 (3.76) | 3.91 (2.35) |
This table presents a summary of demographic characteristics, preoperative comorbidities, laboratory results, surgical information, and postoperative details for patients included in the development cohort (Vital DB) and the external evaluation cohort (Zhongda Hospital). The distribution of intraoperative hypotension (IOH) and non-IOH segments was determined based on the event definitions described in the Methods section. Continuous variables are expressed as mean (SD) or median (interquartile range), as appropriate. Categorical variables are reported as counts and percentages
Abbreviations: ZDH Zhongda Hospital Southeast University, BMI Body mass index, ASA grade American Society of Anesthesiologists grade
Four commonly used intraoperative waveforms were collected: arterial blood pressure (ART), electrocardiogram (ECG, Lead II), photoplethysmogram (PPG), and capnography (Capno), with sampling frequencies ranging from 62.5 to 500 Hz.
For external evaluation, preoperative features were extracted from electronic medical records and laboratory information systems, and intraoperative waveforms were recorded using Vital Recorder software [16]. Data were independently screened and cross-checked by two researchers to ensure consistency and accuracy.
Data preprocessing
Systematic preprocessing was performed to ensure data uniformity, validity, and reproducibility, including unit standardisation, missing data imputation, normalisation, waveform preprocessing, and resampling. Variable units and formats in the external dataset were standardised to match VitalDB (Table S2).
Static data processing
Preoperative variables (Table S2) underwent quality screening prior to modelling. Continuous variables were screened using a Z-score threshold (|Z|> 3) to flag implausible values, which were treated as missing, consistent with standard statistical practice [17]. Variables with < 40% missingness were imputed using mean imputation. Categorical variables underwent one-hot encoding, with ASA classification retained as an ordinal variable. Continuous variables were standardised using Z-score normalisation.
Vital data processing
Vital data were processed using cardiac cycle segmentation via a peak detection algorithm [11]. Segments likely affected by artifacts were excluded following established criteria, [11] including abnormal heart rates (HR < 20 or > 120 bpm) or out-of-range waveform values (e.g., MAP < 20 or > 160 mmHg; PPG < 0 or > 100; EtCO₂ < 0 or > 70 mmHg) (Figure S1A). All waveform data were downsampled to 100 Hz, and 30-s segments (3,000 data points) were used as model input.
Data partitioning and model development
Only patients with complete recordings for all four waveform types (ART, ECG, PPG, Capno) were included. The dataset was randomly split at the patient level into training (60%), validation (10%, for hyperparameter tuning), and internal test (30%) sets prior to waveform segmentation to prevent data leakage.
For real-time prediction, 30-s waveform segments preceding hypotension onset by 5, 10, and 15 min were extracted as positive samples (Figure S1B). This window length captures several cardiac cycles while maintaining a short temporal context for real-time prediction, and has been used in prior studies [18]. Negative samples were randomly selected from stable non-hypotensive periods, excluding windows within 20 min before hypotension onset.
During model development, candidate algorithms were benchmarked using the internal dataset (Table S3). These comparisons were restricted to the internal data, with the external cohort reserved for independent evaluation.
The proposed architecture integrates Conv1D layers for local feature extraction with TF modules to capture long-range temporal dependencies. Waveform features were combined with preoperative variables to generate a binary prediction (1 = hypotension, 0 = non-hypotension; Figure S1C). Further details are provided in Supplementary Method 1 and Figure S2. Four configurations were evaluated: Mono-ART, Mono-ART with preoperative features (Mono-ART with preop), Four-Channel, and Four-Channel with preoperative features (HypoBridCast). Ablation experiments were conducted by removing either the TF module or Conv1D module (Supplementary Method 2).
To assess performance beyond simple MAP-based representations, two baseline models were implemented: a logistic regression model using MAP-derived features (last MAP, variance, slope) and an ARIMA model for short-term MAP trend prediction. Both were evaluated on the same datasets using identical metrics.
Model performance evaluation
Discrimination
Discrimination was assessed using the area under the receiver operating characteristic curve (AUROC) and the area under the precision-recall curve (AUPRC) [19]. Because hypotension events were relatively infrequent, AUPRC was considered particularly informative as it better reflects the model’s ability to detect true events while limiting false positives. These metrics facilitated comparison against other mainstream models and the evaluation of various physiological signal input combinations (single-channel ART versus multi-channel ART with ECG, PPG, or Capno) to investigate their impact on model performance. Optimal classification thresholds, determined using Youden's index, [20] allowed for the calculation of sensitivity, specificity, positive predictive value (PPV), and negative predictive value (NPV) to comprehensively assess performance, particularly on imbalanced datasets.
Calibration
Calibration was evaluated by the agreement between predicted probabilities and observed event rates. This was quantified using calibration slope (ideally approximating 1) and intercept (ideally near 0) to measure the reliability of the model's probability outputs.
Interpretability
For interpretability, Shapley Additive Explanations (SHAP) values [21] were employed. This method analysed input feature importance and quantified individual contributions to model predictions, offering insights into the model's internal mechanisms and providing interpretable decision support.
Finally, Receiver Operating Characteristic (ROC) curves, Precision-Recall (PR) curves, calibration curves, and SHAP importance plots were generated to visualise the model's multi-dimensional performance.
Sample size
Sample size adequacy was confirmed for both cohorts (details in Supplemental Method 3). For model development, estimates based on Riley et al.'s method [22], accounting for conservative parameters and intra-patient clustering, indicated a minimum requirement of approximately 541 patients (equivalent to 4,328 independent observations or 7,362 waveform segments after adjusting for clustering). Our development set of approximately 25,000 segments from 3,369 patients substantially exceeded this requirement.
For external AUROC evaluation, a binomial approximation indicated a minimum of 196 patients, a requirement met by our 437-patient external cohort.
Statistical analysis
Pairwise comparisons of AUROC between models were performed using the DeLong test for correlated ROC curves. Analyses were conducted separately for each prediction horizon (5, 10, and 15 min). Subgroup analyses were performed in both evaluation datasets across age, ASA physical status, and hypertension status.
Patient characteristics were summarised using descriptive statistics. Continuous variables are presented as mean (standard deviation) or median (interquartile range), and categorical variables as counts (proportions). Key evaluation metrics are reported with 95% confidence intervals, estimated using bootstrap resampling (50 iterations) where appropriate. Analyses were performed using Python 3.7.0 and R version 3.6.3.
Real-time demonstration system
To illustrate potential clinical application, a real-time intraoperative hypotension prediction system was developed, integrating monitoring data to continuously generate risk predictions and early warning signals via a visual interface (see Supplementary Method 4 and Figure S5).
Data sharing statement
The deidentified dataset and statistical code are available from the corresponding author upon reasonable request, subject to submission of a research proposal and institutional review board approval.
Results
A total of 3,369 patients with complete ART, ECG, PPG, and Capno waveform data were included for model development and randomly partitioned into training (n = 2021, 60%), validation (n = 337, 10%), and internal test (n = 1011, 30%) sets. For external evaluation, 887 patients were screened from Zhongda Hospital; after applying eligibility criteria and excluding 72 with incomplete waveform data, 437 patients were included (Fig. 2). Preoperative baseline variables were consistently defined across cohorts (Table 1).
Fig. 2.
Flowchart of patient selection for the development and external evaluation dataset
Prediction performance of hypotension
HypoBridCast demonstrated strong discriminative performance across prediction horizons (5, 10, and 15 min). In the internal evaluation set, the model achieved an AUROC of 0.9442 (95% CI 0.9427–0.9456) and an AUPRC of 0.9358 (95% CI 0.9338–0.9378) for 5-min prediction, with performance gradually decreasing at longer prediction horizons. In the external evaluation set, discrimination was lower but remained acceptable across all prediction horizons (Tables S3–S4).
Multi-waveform inputs yielded higher discrimination than single-channel ART models. However, the incremental gain from adding preoperative variables was limited and inconsistent across datasets and prediction horizons. Pairwise comparisons using the DeLong test showed that HypoBridCast significantly outperformed single-channel ART models across all prediction horizons in the internal dataset (all P < 0.001), indicating superior discrimination. Similar trends were observed in the external dataset at shorter prediction horizons (Table S4). In contrast, differences between HypoBridCast and Four-Channe model were small and not statistically significant in either dataset (P > 0.05), suggesting limited incremental benefit from preoperative variables. In the external dataset, overall performance declined and differences between model configurations were attenuated, particularly at longer prediction horizons (Fig. 3).
Fig. 3.
ROC and PR Curves for Mono-ART and Four-Channel Models at Different Prediction Horizons. These curves illustrate the performance of different models in predicting intraoperative hypotension 5, 10, and 15 min prior to onset. (A) and (B) display the ROC curves, illustrating discrimination performance for the internal and external evaluation sets, respectively. (C) and (D) display the PR curves, which are particularly relevant for evaluating performance on imbalanced datasets, for the internal and external evaluation sets, respectively. Across all plots, the lines represent the following models: HypoBridCast (Four-Channel with Preop; orange), Four-Channel (Waveforms Only; red), Mono-ART + Preop (blue), and Mono-ART (Waveforms Only; green). Area Under the Curve (AUC for ROC in A and B; AUPRC for PR in C and D) values with 95% confidence intervals are provided within each plot's legend
Comparisons of waveform combinations showed that models incorporating multiple physiological signals generally achieved higher point estimates, although no single combination consistently outperformed others across all settings (Table S5). Combinations including PPG and/or ECG tended to show higher point estimates than those adding only Capno.
Ablation experiments demonstrated that removal of either the TF or Conv1D module resulted in reduced AUROC across prediction horizons in both Mono-ART and Four-Channel model, supporting the complementary roles of local feature extraction and temporal modeling (Supplementary Method 2).
At optimal thresholds (Youden’s index), HypoBridCast achieved high positive and negative predictive values for 5-min prediction in both internal (PPV 0.8944, NPV 0.8764) and external datasets (PPV 0.8051, NPV 0.9223) (Table 2). Sensitivity and NPV decreased with longer prediction horizons, whereas PPV remained relatively stable.
Table 2.
Optimal cut-off values were determined using Youden’s index
| Model | Value (95% confidence interval) | |||||
|---|---|---|---|---|---|---|
| Internal Evaluation Set | External Evaluation Set | |||||
| 5 min prediction | 10 min prediction | 15 min prediction | 5 min prediction | 10 min prediction | 15 min prediction | |
| Arterial-pressure-only model | ||||||
| Threshold | 0.7402 | 0.6988 | 0.6834 | 0.7402 | 0.6988 | 0.6834 |
| Sensitivity (%) | 0.8523 (0.8503—0.8544) | 0.6124 (0.6082—0.6166) | 0.5917 (0.5869—0.5964) | 0.6136 (0.5919—0.6353) | 0.6050 (0.5880—0.6221) | 0.5918 (0.5788—0.6047) |
| Specificity (%) | 0.8827 (0.8794—0.8860) | 0.9938 (0.9935—0.9941) | 0.9940 (0.9932—0.9947) | 0.9372 (0.9298—0.9446) | 0.9551 (0.9483—0.9620) | 0.9243 (0.9151—0.9334) |
| PPV (%) | 0.8238 (0.8194—0.8281) | 0.9841 (0.9832—0.9849) | 0.9834 (0.9814—0.9855) | 0.7107 (0.6785—0.7429) | 0.7751 (0.7458—0.8045) | 0.6419 (0.6213—0.6625) |
| NPV (%) | 0.9029 (0.9009—0.9048) | 0.8047 (0.8021—0.8073) | 0.8020 (0.7988—0.8053) | 0.9066 (0.9030—0.9102) | 0.9049 (0.8980—0.9117) | 0.9081 (0.9028—0.9135) |
| ART + Capno model | ||||||
| Threshold | 0.7186 | 0.6646 | 0.6693 | 0.7186 | 0.6646 | 0.6693 |
| Sensitivity (%) | 0.6806 (0.6755—0.6857) | 0.5395 (0.5364—0.5427) | 0.4960 (0.4900—0.5020) | 0.6878 (0.6587—0.7170) | 0.7192 (0.6997—0.7387) | 0.6270 (0.6030—0.6510) |
| Specificity (%) | 0.9771 (0.9759—0.9784) | 0.9975 (0.9972—0.9978) | 0.9973 (0.9968—0.9978) | 0.9020 (0.8972—0.9067) | 0.8879 (0.8793—0.8965) | 0.8617 (0.8516—0.8717) |
| PPV (%) | 0.9505 (0.9474—0.9537) | 0.9929 (0.9921—0.9937) | 0.9909 (0.9893—0.9925) | 0.6346 (0.6159—0.6533) | 0.6073 (0.5916—0.6231) | 0.5056 (0.4854—0.5258) |
| NPV (%) | 0.8256 (0.8224—0.8288) | 0.7700 (0.7679—0.7720) | 0.7695 (0.7660—0.7731) | 0.9209 (0.9131—0.9288) | 0.9296 (0.9248—0.9344) | 0.9114 (0.9062—0.9167) |
| ART + ECG model | ||||||
| Threshold | 0.7344 | 0.6950 | 0.6729 | 0.7344 | 0.6950 | 0.6729 |
| Sensitivity (%) | 0.7457 (0.7421—0.7492) | 0.7474 (0.7411—0.7538) | 0.6949 (0.6901—0.6997) | 0.4526 (0.4244—0.4808) | 0.6301 (0.6130—0.6472) | 0.5453 (0.5242—0.5664) |
| Specificity (%) | 0.9680 (0.9668—0.9692) | 0.9405 (0.9390—0.9421) | 0.9588 (0.9574—0.9603) | 0.9943 (0.9927—0.9958) | 0.9495 (0.9463—0.9528) | 0.9726 (0.9691—0.9761) |
| PPV (%) | 0.9376 (0.9353—0.9399) | 0.8912 (0.8885—0.8939) | 0.9129 (0.9103—0.9154) | 0.9522 (0.9400—0.9644) | 0.7510 (0.7345—0.7674) | 0.8211 (0.7980—0.8441) |
| NPV (%) | 0.8552 (0.8534—0.8569) | 0.8510 (0.8464—0.8555) | 0.8351 (0.8329—0.8373) | 0.8777 (0.8699—0.8856) | 0.9141 (0.9108—0.9174) | 0.9026 (0.8978—0.9073) |
| ART + PPG model | ||||||
| Threshold | 0.7375 | 0.6908 | 0.6794 | 0.7375 | 0.6908 | 0.6794 |
| Sensitivity (%) | 0.7399 (0.7358—0.7439) | 0.6718 (0.6668—0.6767) | 0.6010 (0.5947—0.6073) | 0.7309 (0.7081—0.7537) | 0.5655 (0.5445—0.5864) | 0.5642 (0.5406—0.5878) |
| Specificity (%) | 0.9747 (0.9732—0.9761) | 0.9855 (0.9849—0.9860) | 0.9915 (0.9910—0.9920) | 0.8612 (0.8546—0.8677) | 0.9662 (0.9634—0.9690) | 0.9338 (0.9300—0.9377) |
| PPV (%) | 0.9495 (0.9467—0.9523) | 0.9684 (0.9672—0.9696) | 0.9778 (0.9765—0.9791) | 0.5752 (0.5544—0.5960) | 0.8050 (0.7939—0.8161) | 0.6732 (0.6594—0.6869) |
| NPV (%) | 0.8534 (0.8505—0.8564) | 0.8192 (0.8168—0.8216) | 0.7993 (0.7971—0.8016) | 0.9254 (0.9182—0.9326) | 0.9005 (0.8960—0.9050) | 0.8984 (0.8910—0.9059) |
| ART + PPG + Capno model | ||||||
| Threshold | 0.7337 | 0.6906 | 0.6710 | 0.7337 | 0.6906 | 0.6710 |
| Sensitivity (%) | 0.6396 (0.6328—0.6465) | 0.6892 (0.6838—0.6945) | 0.6336 (0.6279—0.6393) | 0.7710 (0.7564—0.7855) | 0.5848 (0.5629—0.6068) | 0.5579 (0.5375—0.5784) |
| Specificity (%) | 0.9924 (0.9916—0.9933) | 0.9833 (0.9820—0.9846) | 0.9842 (0.9829—0.9855) | 0.8513 (0.8405—0.8621) | 0.9631 (0.9581—0.9681) | 0.9412 (0.9332—0.9492) |
| PPV (%) | 0.9819 (0.9800—0.9838) | 0.9643 (0.9616—0.9670) | 0.9616 (0.9585—0.9647) | 0.5778 (0.5576—0.5980) | 0.7869 (0.7642—0.8096) | 0.6820 (0.6405—0.7235) |
| NPV (%) | 0.8111 (0.8078—0.8145) | 0.8285 (0.8242—0.8328) | 0.8113 (0.8083—0.8143) | 0.9336 (0.9272—0.9400) | 0.9091 (0.9023—0.9160) | 0.9044 (0.9001—0.9088) |
| ART + ECG + Capno model | ||||||
| Threshold | 0.7323 | 0.6786 | 0.6659 | 0.7323 | 0.6786 | 0.6659 |
| Sensitivity (%) | 0.6288 (0.6250—0.6327) | 0.6874 (0.6826—0.6921) | 0.4613 (0.4566—0.4660) | 0.6728 (0.6420—0.7035) | 0.7700 (0.7515—0.7884) | 0.6132 (0.5924—0.6339) |
| Specificity (%) | 0.9947 (0.9942—0.9953) | 0.9726 (0.9712—0.9741) | 0.9975 (0.9971—0.9980) | 0.9076 (0.9031—0.9122) | 0.8071 (0.7966—0.8177) | 0.9271 (0.9209—0.9332) |
| PPV (%) | 0.9874 (0.9860—0.9888) | 0.9426 (0.9394—0.9457) | 0.9916 (0.9901—0.9930) | 0.6508 (0.6299—0.6717) | 0.4978 (0.4732—0.5223) | 0.6660 (0.6442—0.6878) |
| NPV (%) | 0.8038 (0.8014—0.8063) | 0.8264 (0.8243—0.8286) | 0.7472 (0.7447—0.7498) | 0.9154 (0.9077—0.9231) | 0.9340 (0.9283—0.9398) | 0.9101 (0.9034—0.9167) |
| ART + ECG + PPG model | ||||||
| Threshold | 0.7398 | 0.6911 | 0.6755 | 0.7398 | 0.6911 | 0.6755 |
| Sensitivity (%) | 0.7494 (0.7458—0.7530) | 0.6630 (0.6581—0.6678) | 0.6518 (0.6474—0.6562) | 0.7020 (0.6800—0.7240) | 0.6753 (0.6539—0.6967) | 0.5203 (0.4911—0.5495) |
| Specificity (%) | 0.9658 (0.9644—0.9672) | 0.9846 (0.9836—0.9855) | 0.9764 (0.9749—0.9778) | 0.8995 (0.8923—0.9067) | 0.9100 (0.9011—0.9189) | 0.9772 (0.9736—0.9808) |
| PPV (%) | 0.9341 (0.9319—0.9364) | 0.9656 (0.9640—0.9671) | 0.9443 (0.9405—0.9481) | 0.6461 (0.6289—0.6633) | 0.6569 (0.6384—0.6755) | 0.8470 (0.8260—0.8680) |
| NPV (%) | 0.8563 (0.8540—0.8587) | 0.8178 (0.8155—0.8200) | 0.8199 (0.8169—0.8229) | 0.9205 (0.9150—0.9261) | 0.9170 (0.9105—0.9235) | 0.8940 (0.8867—0.9012) |
| ART + ECG + PPG + Capno (HypoBridCast) model | ||||||
| Threshold | 0.7372 | 0.6965 | 0.6881 | 0.7372 | 0.6965 | 0.6881 |
| Sensitivity (%) | 0.7963 (0.7925—0.8001) | 0.6900 (0.6869—0.6932) | 0.6630 (0.6587—0.6673) | 0.6851 (0.6648—0.7054) | 0.6646 (0.6378—0.6915) | 0.5361 (0.5045—0.5678) |
| Specificity (%) | 0.9389 (0.9372—0.9407) | 0.9732 (0.9718—0.9745) | 0.9757 (0.9746—0.9768) | 0.9577 (0.9520—0.9634) | 0.9457 (0.9419—0.9496) | 0.9510 (0.9469—0.9552) |
| PPV (%) | 0.8944 (0.8916—0.8973) | 0.9419 (0.9388—0.9451) | 0.9427 (0.9398—0.9456) | 0.8051 (0.7781—0.8320) | 0.7552 (0.7385—0.7719) | 0.7061 (0.6718—0.7403) |
| NPV (%) | 0.8764 (0.8742—0.8786) | 0.8328 (0.8304—0.8351) | 0.8279 (0.8259—0.8299) | 0.9223 (0.9169—0.9277) | 0.9176 (0.9093—0.9260) | 0.9021 (0.8937—0.9105) |
All models presented in this table include preoperative data as part of the input features. The classification performance of these prediction models was evaluated across three prediction horizons (5, 10, and 15 min). Sensitivity, specificity, positive predictive value (PPV), and negative predictive value (NPV) were calculated using the optimal threshold determined by Youden’s index. Results are reported separately for the internal evaluation dataset (Vital DB) and the external evaluation dataset (Zhongda Hospital). Values are presented as point estimates with 95% confidence intervals
Abbreviations: NPV negative predictive value, PPV positive predictive value
Compared with simple MAP-based baseline models, HypoBridCast demonstrated substantially improved performance (Table S6), with AUROC increases of approximately 0.06–0.08 over the logistic regression model and 0.11–0.12 over the ARIMA model across prediction horizons.
Calibration performance was acceptable overall (Table 3, Table S7, Figure S3). In the internal dataset, calibration slopes were generally close to 1, and HypoBridCast achieved low Expected Calibration Error (ECE) at several prediction horizons (e.g., 0.077 at 5 min). Calibration declined in the external dataset across all models, with HypoBridCast remaining among the better-calibrated configurations.
Table 3.
Expected calibration error in the internal and external evaluation sets
| Forecast time | Internal Evaluation Set | External Evaluation Set | ||||||
|---|---|---|---|---|---|---|---|---|
| Without Preoperative Feature | With Preoperative Feature | Without Preoperative Feature | With Preoperative Feature | |||||
| Mono-ART | Four-Channel | Mono-ART | Four-Channel (HypoBridCast) | Mono-ART | Four-Channel | Mono-ART | Four-Channel (HypoBridCast) | |
| 5 min | 0.084 (0.050—0.119) | 0.097 (0.067—0.125) | 0.095 (0.063—0.123) | 0.077 (0.039—0.111) | 0.125 (0.075—0.174) | 0.147 (0.088—0.217) | 0.100 (0.059—0.145) | 0.092 (0.062—0.123) |
| 10 min | 0.101 (0.075—0.125) | 0.154 (0.069—0.231) | 0.068 (0.043—0.095) | 0.091 (0.038—0.147) | 0.180 (0.108—0.260) | 0.142 (0.077—0.202) | 0.116 (0.068—0.162) | 0.169 (0.108—0.230) |
| 15 min | 0.037 (0.023—0.051) | 0.143 (0.079—0.209) | 0.167 (0.120—0.201) | 0.088 (0.060—0.119) | 0.182 (0.109—0.253) | 0.108 (0.071—0.147) | 0.181 (0.128—0.250) | 0.160 (0.102—0.225) |
Expected calibration error (ECE) of the four types model (Mono-ART channel with preoperative features, Mono-ART channel without preoperative features, four-channel with preoperative features [HypoBridCast Model], four-channel without preoperative features) in the internal and external evaluation. The forecast time indicates the time before a hypotensive event. Low values represent a low error, thus better calibration. The 95% confidence interval is indicated by the values within the brackets
SHAP analysis indicated that dynamic waveform features, particularly ART, contributed most to model predictions, whereas preoperative variables had smaller contributions (Figure S4).
Analysis of MAP values at prediction time (t = 0) showed that positive samples were distributed across a wide range of MAP values, including values well above the hypotension threshold (> 75 mmHg, Table S8), indicating that predictions were not limited to near-threshold conditions.
Subgroup analyses across age, ASA status, and hypertension demonstrated generally consistent performance in both internal and external datasets, with only modest variation across prediction horizons (Table S9).
Discussion
In this study, we developed HypoBridCast, a hybrid Conv1D–TF architecture integrating intraoperative multi-channel waveforms with preoperative baseline data to predict intraoperative hypotension. Across 5-, 10-, and 15-min prediction horizons, the model achieved the highest discrimination among evaluated models, with generally acceptable calibration.
Analysis of model behavior and feature contribution
The model generally outperformed single-channel ART models across prediction horizons, indicating that multi-channel waveform integration provides additional predictive information beyond arterial pressure alone. However, performance differences between HypoBridCast and Four-Channel model were small, suggesting limited incremental benefit from baseline features.
Different waveform modalities capture complementary physiological processes. PPG reflects peripheral perfusion [23, 24], ECG provides information on cardiac rhythm and early hypoperfusion [25], and capnography reflects respiratory–circulatory coupling, where a declining trend may indicate reduced cardiac output [26]. Their integration enables a more comprehensive representation of haemodynamic status than single-signal models. However, performance did not increase monotonically with additional inputs. For example, adding Capno alone to ART yielded limited or even inferior benefit, whereas its contribution became more apparent when combined with other waveforms, highlighting the importance of appropriate signal integration.
SHAP analysis showed that dynamic waveform features, particularly ART, contributed most to predictions, whereas preoperative variables had smaller effects. This likely reflects the acute physiological nature of intraoperative hypotension, where real-time haemodynamic signals are more informative. Nevertheless, baseline characteristics may still provide complementary context for patient-specific risk assessment [27].
Model generalizability and calibration
External evaluation demonstrated reduced discrimination, particularly at longer prediction horizons. The advantage of HypoBridCast over single-channel ART models was less consistent for 15-min predictions, with largely overlapping discrimination performance between models. Calibration performance varied across prediction horizons. In the internal evaluation set, HypoBridCast did not consistently achieve the best calibration, with slightly higher ECE observed at certain time points (particularly at longer prediction horizons) compared with simpler models. In the external dataset, overall calibration declined, particularly at longer prediction horizons (Figure S3B). These findings may reflect the influence of dataset heterogeneity and increased noise accumulation over longer prediction windows. Further work is needed to improve waveform denoising, feature selection and overall model robustness across diverse datasets. In clinical deployment, post-hoc recalibration methods such as Platt scaling or isotonic regression may be required to ensure reliable risk estimation in new clinical environments.
Analysis of MAP distributions at prediction time showed that positive samples were not restricted to values immediately below the hypotension threshold. This suggests that predictions were not driven solely by proximity to the threshold but also reflect underlying physiological patterns preceding hypotension.
Clinical implications and practical considerations
The model demonstrated relatively high specificity with moderate sensitivity, suggesting a lower false-alarm rate that may help reduce unnecessary interventions, which could otherwise lead to inefficient resource use or potential patient harm [28]. However, the moderate sensitivity indicates that some hypotensive events may be missed; therefore, model predictions should be interpreted alongside real-time monitoring and clinical judgment. The model was developed using invasive arterial waveforms, which provide high-resolution physiological data and are commonly available in higher-risk surgical patients. In contrast, non-invasive blood pressure monitoring is intermittent and has lower temporal resolution, which may limit its suitability for waveform-based real-time prediction. Prior studies have shown that continuous invasive blood pressure monitoring is associated with reduced exposure to IOH [29]. Extension of the model to non-invasive monitoring modalities warrants further investigation.
Comparison with other studies
The Hypotension Prediction Index (HPI) developed by Hatib et al. [6] has been widely studied [28, 30], with variable reported performance and clinical impact [31–34]. Unlike HPI, which excluded MAP values between 65–75 mmHg during training, a design that has been discussed in the literature as a potential source of dataset selection effects, [35, 36] the present model was developed using a consistent definition and evaluated across the full range of blood pressure values. In addition, it relies on standard monitoring signals rather than proprietary hardware, potentially facilitating broader implementation [37]. Consistent with observations reported by Lee et al. [11], models using multiple physiological waveforms may provide improved predictive performance compared with those relying solely on arterial pressure signals. In our study, the four-channel model (ART, ECG, PPG, and Capno) achieved better overall performance. Recent work using transformer-based models with lower-resolution data (sampled every 15 s) has also been reported [38]. In contrast, the present model uses high-resolution continuous waveforms, which may better capture short-term haemodynamic dynamics that reflect physiological responses to clinical interventions [39] without requiring manual input.
Limitations and future works
This study has several limitations. First, the model requires multiple waveform channels and may be sensitive to missing data. Future work will focus on improving robustness under partial signal loss. Second, the development and external evaluation datasets were derived from different countries, and further evaluation across more diverse populations and clinical settings is needed to confirm generalizability. Finally, the impact of alternative input window lengths was not systematically evaluated. Although prior studies suggest that prediction performance is relatively robust to variations in input duration, the absence of a dedicated sensitivity analysis in the present dataset remains a limitation and warrants further investigation.
Conclusions
This study developed HypoBridCast, a deep learning model integrating preoperative and intraoperative multi-channel waveform data for short-term prediction of intraoperative hypotension. The model demonstrated strong discrimination across prediction horizons and improved performance compared with arterial pressure–only models, with generally acceptable calibration. As a scalable approach based on routinely collected data, it supports real-time perioperative application for personalized blood pressure management and potentially improved outcomes.
Supplementary Information
Acknowledgements
Not applicable
Abbreviations
- IOH
Intraoperative hypotension
- MAP
Mean arterial pressure
- CNNs
Convolutional Neural Networks
- RNNs
Recurrent Neural Networks
- HypoBridCast
Hypotension Hybrid Forecast
- Conv1D
1D Convolutional Layers
- TF
Transformer
- ART
Arterial blood pressure
- ECG
Electrocardiogram
- PPG
Photoplethysmogram
- Capno
Capnography
- EMR
Electronic medical records
- LIS
Laboratory information system
- PPV
Positive predictive value
- NPV
Negative predictive value
- SHAP
Shapley Additive Explanations
- ROC
Receiver Operating Characteristic
- HPI
Hypotension Prediction Index
Authors’ contributions
YW designed and conducted the design and conduction of the study, acquired and analysed the data, and wrote the text. JS and JX contributed to design of the study, analysis of the data and reviewed the main text. XZ contributed to the design, conduction of the study and analysis of the results. LC and LB contributed to conduction of the study and helped to write the main text. KS contributed to the collection of signal wave. All authors have read and approved the final manuscript.
Funding
This work was supported by the China University-Industry-Research Innovation Fund under Grant No. 2024GY039.
Data availability
The datasets generated and analysed during the current study are available in the Vital DB, https://physionet.org/content/vitaldb/1.0.0/. [15].
Declarations
Ethics approval and consent to participate
The research received ethical approval from Zhongda Hospital, Southeast University (No. 2024ZDSYLL476-P01). As a retrospective study, informed consent was waived, and there was no patient or public involvement in the research.
Consent for publication
Not applicable.
Competing interests
The authors declare no competing interests.
Footnotes
Publisher's Note
Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.
Contributor Information
Jun Xu, Email: jxu@nuist.edu.cn.
Jie Sun, Email: dgsunjie@hotmail.com.
References
- 1.Hirsch J, DePalma G, Tsai TT, Sands LP, Leung JM. Impact of intraoperative hypotension and blood pressure fluctuations on early postoperative delirium after non-cardiac surgery. Br J Anaesth. 2015;115:418–26. 10.1093/bja/aeu458. [DOI] [PMC free article] [PubMed] [Google Scholar]
- 2.Park S, Lee HC, Jung CW, et al. Intraoperative arterial pressure variability and postoperative acute kidney injury. Clin J Am Soc Nephrol. 2020;15:35–46. 10.2215/CJN.06620619. [DOI] [PMC free article] [PubMed] [Google Scholar]
- 3.Sessler DI, Bloomstone JA, Aronson S, et al. Perioperative Quality Initiative consensus statement on intraoperative blood pressure, risk and outcomes for elective surgery. Br J Anaesth. 2019;122:563–74. 10.1016/j.bja.2019.01.013. [DOI] [PubMed] [Google Scholar]
- 4.Monk TG, Bronsert MR, Henderson WG, et al. Association between intraoperative hypotension and hypertension and 30-day postoperative mortality in noncardiac surgery. Anesthesiology. 2015;123:307–19. 10.1097/aln.0000000000000756. [DOI] [PubMed] [Google Scholar]
- 5.Wesselink EM, Kappen TH, Torn HM, Slooter AJC, van Klei WA. Intraoperative hypotension and the risk of postoperative adverse outcomes: a systematic review. Br J Anaesth. 2018;121:706–21. 10.1016/j.bja.2018.04.036. [DOI] [PubMed] [Google Scholar]
- 6.Hatib F, Jian Z, Buddi S, et al. Machine-learning algorithm to predict hypotension based on high-fidelity arterial pressure waveform analysis. Anesthesiology. 2018;129:663–74. 10.1097/ALN.0000000000002300. [DOI] [PubMed] [Google Scholar]
- 7.Kendale S, Kulkarni P, Rosenberg AD, Wang J. Supervised machine-learning predictive analytics for prediction of postinduction hypotension. Anesthesiology. 2018;129:675–88. 10.1097/ALN.0000000000002374. [DOI] [PubMed] [Google Scholar]
- 8.Lee S, Lee M, Kim SH, Woo J. Intraoperative hypotension prediction model based on systematic feature engineering and machine learning. Sensors (Basel). 2022;22:3108. 10.3390/s22093108. [DOI] [PMC free article] [PubMed] [Google Scholar]
- 9.Choe S, Park E, Shin W, et al. Short-term event prediction in the operating room (STEP-OP) of five-minute intraoperative hypotension using hybrid deep learning: retrospective observational study and model development. JMIR Med Inform. 2021;9:e31311. 10.2196/31311. [DOI] [PMC free article] [PubMed] [Google Scholar]
- 10.Jo YY, Jang JH, Kwon JM, et al. Predicting intraoperative hypotension using deep learning with waveforms of arterial blood pressure, electroencephalogram, and electrocardiogram: retrospective study. PLoS ONE. 2022;17:e0272055. 10.1371/journal.pone.0272055. [DOI] [PMC free article] [PubMed] [Google Scholar]
- 11.Lee S, Lee HC, Chu YS, et al. Deep learning models for the prediction of intraoperative hypotension. Br J Anaesth. 2021;126:808–17. 10.1016/j.bja.2020.12.035. [DOI] [PubMed] [Google Scholar]
- 12.Kiranyaz S, Avci O, Abdeljaber O, et al. 1D convolutional neural networks and applications: A survey. Mech Syst Signal Process. 2021. 10.1016/j.ymssp.2020.107398. [Google Scholar]
- 13.Vaswani A, Shazeer N, Parmar N, et al., editors. Attention Is All You Need. 31st Annual Conference on Neural Information Processing Systems (NIPS); 2017 2017. Dec 04–09; Long Beach, CA2017.
- 14.Collins GS, Moons KGM, Dhiman P, et al. TRIPOD+AI statement: updated guidance for reporting clinical prediction models that use regression or machine learning methods. BMJ. 2024;385:e078378. 10.1136/bmj-2023-078378. [DOI] [PMC free article] [PubMed] [Google Scholar]
- 15.Lee HC, Park Y, Yoon SB, et al. VitalDB, a high-fidelity multi-parameter vital signs database in surgical patients. Sci Data. 2022;9:279. 10.1038/s41597-022-01411-5. [DOI] [PMC free article] [PubMed] [Google Scholar]
- 16.Lee HC, Jung CW. Vital recorder-a free research tool for automatic recording of high-resolution time-synchronised physiological data from multiple anaesthesia devices. Sci Rep. 2018;8:1527. 10.1038/s41598-018-20062-4. [DOI] [PMC free article] [PubMed] [Google Scholar]
- 17.Fox J, Fox J. Applied regression analysis and generalized linear models. Third Edition ed. Los Angeles: SAGE; 2016. xxiv, 791 pages.
- 18.Moon JH, Lee G, Lee SM, et al. Frequency domain deep learning with non-invasive features for intraoperative hypotension prediction. IEEE J Biomed Health Inform. 2024;28:5718–28. 10.1109/JBHI.2024.3403109. [DOI] [PubMed] [Google Scholar]
- 19.Ozenne B, Subtil F, Maucort-Boulch D. The precision recall curve overcame the optimism of the receiver operating characteristic curve in rare diseases. J Clin Epidemiol. 2015;68:855–9. 10.1016/j.jclinepi.2015.02.010. [DOI] [PubMed] [Google Scholar]
- 20.Fluss R, Faraggi D, Reiser B. Estimation of the Youden Index and its associated cutoff point. Biom J. 2005;47:458–72. 10.1002/bimj.200410135. [DOI] [PubMed] [Google Scholar]
- 21.Azodi CB, Tang J, Shiu SH. Opening the black box: interpretable machine learning for geneticists. Trends Genet. 2020;36:442–55. 10.1016/j.tig.2020.03.005. [DOI] [PubMed] [Google Scholar]
- 22.Riley RD, Ensor J, Snell KIE, et al. Calculating the sample size required for developing a clinical prediction model. BMJ. 2020;368:m441. 10.1136/bmj.m441. [DOI] [PubMed] [Google Scholar]
- 23.Krone S, Bokoch MP, Kothari R, et al. Association between peripheral perfusion index and postoperative acute kidney injury in major noncardiac surgery patients receiving continuous vasopressors: a post hoc exploratory analysis of the VEGA-1 trial. Br J Anaesth. 2024;132:685–94. 10.1016/j.bja.2023.11.054. [DOI] [PubMed] [Google Scholar]
- 24.Coutrot M, Dudoignon E, Joachim J, et al. Perfusion index: Physical principles, physiological meanings and clinical implications in anaesthesia and critical care. Anaesth Crit Care Pain Med. 2021;40:100964. 10.1016/j.accpm.2021.100964. [DOI] [PubMed] [Google Scholar]
- 25.Xie L, Li Z, Zhou Y, He Y, Zhu J. Computational diagnostic techniques for electrocardiogram signal analysis. Sensors. 2020;20:6318. 10.3390/s20216318. [DOI] [PMC free article] [PubMed] [Google Scholar]
- 26.Kreit JW. Volume capnography in the intensive care unit: potential clinical applications. Ann Am Thorac Soc. 2019;16:409–20. 10.1513/AnnalsATS.201807-502CME. [DOI] [PubMed] [Google Scholar]
- 27.Ahuja S, Mascha EJ, Yang D, et al. Associations of intraoperative radial arterial systolic, diastolic, mean, and pulse pressures with myocardial and acute kidney injury after noncardiac surgery: a retrospective cohort analysis. Anesthesiology. 2020;132:291–306. 10.1097/ALN.0000000000003048. [DOI] [PubMed] [Google Scholar]
- 28.Wijnberge M, Geerts BF, Hol L, et al. Effect of a machine learning-derived early warning system for intraoperative hypotension vs standard care on depth and duration of intraoperative hypotension during elective noncardiac surgery: The HYPE Randomized Clinical Trial. JAMA. 2020;323:1052–60. 10.1001/jama.2020.0592. [DOI] [PMC free article] [PubMed] [Google Scholar]
- 29.Daum N, Hoff L, Spies C, et al. Influence of frailty status on the incidence of intraoperative hypotensive events in elective surgery: Hypo-Frail, a single-centre retrospective cohort study. Br J Anaesth. 2025;135:40–7. 10.1016/j.bja.2024.10.050. [DOI] [PMC free article] [PubMed] [Google Scholar]
- 30.Frassanito L, Sonnino C, Piersanti A, et al. Performance of the Hypotension Prediction Index with noninvasive arterial pressure waveforms in awake cesarean delivery patients under spinal anesthesia. Anesth Analg. 2022;134:633–43. 10.1213/ANE.0000000000005754. [DOI] [PubMed] [Google Scholar]
- 31.Yang SM, Cho HY, Lee HC, Kim HS. Performance of the Hypotension Prediction Index in living donor liver transplant recipients. Minerva Anestesiol. 2023;89:387–95. 10.23736/S0375-9393.23.16710-1. [DOI] [PubMed] [Google Scholar]
- 32.Mulder MP, Harmannij-Markusse M, Fresiello L, Donker DW, Potters JW. Hypotension Prediction Index is equally effective in predicting intraoperative hypotension during noncardiac surgery compared to a mean arterial pressure threshold: a prospective observational study. Anesthesiology. 2024;141:453–62. 10.1097/ALN.0000000000004990. [DOI] [PubMed] [Google Scholar]
- 33.Maheshwari K, Shimada T, Yang D, et al. Hypotension Prediction Index for prevention of hypotension during moderate- to high-risk noncardiac surgery. Anesthesiology. 2020;133:1214–22. 10.1097/ALN.0000000000003557. [DOI] [PubMed] [Google Scholar]
- 34.Schenk J, Wijnberge M, Maaskant JM, et al. Effect of Hypotension Prediction Index-guided intraoperative haemodynamic care on depth and duration of postoperative hypotension: a sub-study of the Hypotension Prediction trial. Br J Anaesth. 2021;127:681–8. 10.1016/j.bja.2021.05.033. [DOI] [PubMed] [Google Scholar]
- 35.Vistisen ST, Enevoldsen J. CON: the hypotension prediction index is not a validated predictor of hypotension. Eur J Anaesthesiol. 2024;41:118–21. 10.1097/EJA.0000000000001939. [DOI] [PubMed] [Google Scholar]
- 36.Enevoldsen J, Vistisen ST. Performance of the Hypotension Prediction Index may be overestimated due to selection bias. Anesthesiology. 2022;137:283–9. 10.1097/ALN.0000000000004320. [DOI] [PubMed] [Google Scholar]
- 37.Jeong H, Kim D, Kim DW, et al. Prediction of intraoperative hypotension using deep learning models based on non-invasive monitoring devices. J Clin Monit Comput. 2024;38:1357–65. 10.1007/s10877-024-01206-6. [DOI] [PubMed] [Google Scholar]
- 38.Kapral L, Dibiasi C, Jeremic N, et al. Development and external validation of temporal fusion transformer models for continuous intraoperative blood pressure forecasting. EClinicalMedicine. 2024;75:102797. 10.1016/j.eclinm.2024.102797. [DOI] [PMC free article] [PubMed] [Google Scholar]
- 39.Alian AA. Anesthesiologist as physiologist: discussion and examples of clinical waveform analysis. Anesth Analg. 2017;124:154–66. 10.1213/ANE.0000000000001468. [DOI] [PubMed] [Google Scholar]
Associated Data
This section collects any data citations, data availability statements, or supplementary materials included in this article.
Supplementary Materials
Data Availability Statement
The datasets generated and analysed during the current study are available in the Vital DB, https://physionet.org/content/vitaldb/1.0.0/. [15].



