Startseite Lebenswissenschaften The salivary cortisol classification based on the heart rate variability
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The salivary cortisol classification based on the heart rate variability

  • Leila Simorgh , Gila Pirzad Jahromi , Sousan Salari und Boshra Hatef EMAIL logo
Veröffentlicht/Copyright: 15. April 2025

Abstract

Objectives

Stress is a physiological state that is essential for the survival of living organisms. Heart rate variability (HRV) and cortisol hormone are indicators of the stress system. According to research, it has been demonstrated that the activation of the stress system is not consciously controlled by the individual, but rather occurs subconsciously. It is a novel concept to employ HRV indexes to assess the level of cortisol concentration as a more reliable indicator of stress system activation, as opposed to relying solely on the individual’s emotional state.

Methods

In order to understand the relationship between stress and cortisol secretion and its effect on electrophysiological biomarkers like HRV, the algorithms were designed using machine learning algorithms such as SVM, XGB, and MLP in the 634 adult healthy men (20–50 years old). Trait social stress test was utilized to make wide range of cortisol concentration from no to moderate stress.

Results

These algorithms classified cortisol level between 9:00 AM and 2:00 PM in the optimal (5–15 ng/mL), non (less than 5 and more than 15 ng/mL) range, using HRV indexes (12 features). The XBG algorithm could achieve best classification with an accuracy rate of 99 % and an F1 rate of 99 %. They also indicated the state of an individual’s stress system by indicating the concentration level of cortisol, which is its fundamental indicator.

Conclusions

In addition to classifying stress, the HRV can also classify salivary cortisol in adult health men.

Introduction

The stress system has been defined as having an important role in the survival of an organism. The perception of stress by the brain leads to a series of comprehensive events that are initiated in the brain and body. These events serve as a coping mechanism for stress, thereby enabling the biological system to return to a normal state. The prolonged exposure to stress and persistent tension created in today’s daily life results in decreased recovery opportunities. These circumstances result in persistent stress within the society [1]. Mild acute stress is associated with an enhanced efficiency of various body organs, including the nervous and cardiovascular systems, as well as other organs. Stress can lead to decreased efficiency or increased susceptibility to developing several disorders, such as cardiovascular disease. Stress can also lead to deficiencies in immunity, fertility, metabolism, memory, and analytical and decision-making abilities. These outcomes are associated with an inability to react correctly in different situations [2]. The activation of the sympathetic axis, the result of acute stress and hypothalamus activation, is accompanied by an increase in the heart rate and blood pressure [3]. According to studies, in addition to the concentration of cortisol hormone used as an active stress indicator, electrophysiological changes in bio-signals, including electrocardiography and electroencephalography, are also valid indicators in stress diagnosis. The HRV, also referred to as pulse rate variability, is a measure of the activity of the autonomic nervous system that is associated with psychological stress. The component of the HRV that exhibits low frequency reflects sympathetic activity control and exhibits a positive correlation with mental stress. A decrease in HRV is observed during physical or mental stress, which is indicative of a decrease in parasympathetic activity and an increase in sympathetic activity. This is also a risk factor for arrhythmia and heart attacks [2], 4].

Several studies have reported that the HRV indexes have a good predictive power of 85–92 % of perceived stress. The conscious part of stress that is perceived by the individual is classified in these studies and the unconscious part is neglected [5], 6]. Many studies have reported that the activation of the stress system is not necessarily perceived by a person, or at least not a part of it. It extends to a subconscious level. Certain physiological indicators of stress, such as the level of cortisol concentration and the nonlinear and spectral characteristics of HRV, may undergo modifications subsequent to stress [7], [8], [9]. This suggests that HRV indexes that survey cortisol concentration levels, the major marker of stress system activity, more reliably correspond to a stress response rather than self-reporting emotional state and it has not been noted in As per research conducted on the correlation between stress and cortisol secretion, as well as its impact on electrophysiological biomarkers such as HRV, it has been demonstrated that machine learning can aid in the development of an algorithm for categorizing cortisol. The objective of this investigation is to delineate the stress system of an individual in terms of cortisol concentration levels by means of machine learning.

Materials and methods

Dataset

This study used data from the Baqiyatallah University of Medical Sciences to classify the cortisol level. The data consisted of 634 adult healthy men (20–50 years old). They had no history of head trauma, head surgery, drug addiction, systematic and mental disorders such as diabetes, cardiovascular desease and arteritis rheumatism, or depression based on primary medical screening. 5 mL of Saliva sampling and 2 min of ECG recording were carried out in a specific period (between 9:00 AM and 2:00 PM) and in different conditions from calm to moderate stress, as explained in the trait social stress test (TSST) [7], [8], [9] for all cases. Data gathering was done before, immediately after TSST and after 20 min of recovery from stress. TSST has become one of the most frequently employed laboratory stressors in human studies over the past decades [10]. All data considered together because the aim of this study was prediction of salivary cortisol not the stress condition by HRV.

A biomedical wireless ECG (made in Iran) was used to digitally measure heart rate [7]. According to the three lids cardiogram system, one electrode was attached to the left midclavicular line above the heart position, and the second electrode was attached to the left sternal border below the heart position. The third electrode was attached to the right lower quadrant of the abdomen [8]. The electrodes were fixed by a chest lid and belt. In each phase, the data were saved for 2 mins and then transferred to an analog-to-digital converter with a 256 Hz sampling rate. We used MATLAB software version 2018 to calculate heart rate variability (HRV). Initial processing and signal preprocessing involve removing noise and artifacts (such as body movements and electrical noise), using high-pass and low-pass filters to remove unwanted frequencies, and finding QRS peaks in the ECG signal, which represent the heart rate. The time intervals between the detected QRS peaks, known as RR intervals, are extracted. Using the RR intervals, the HRV signal is generated. The 12 features are indexed by the following indicators: linear indicators, such as the mean distance of two R peaks in ECG recording, the standard deviation of the mean distance of two R peaks, heart rate, the relative value of very low-frequency band power in the range of [0, 0.04], the relative value of low-frequency power in the range of [0.04, 0.15], the relative value of high-frequency power in the range of [0.15, 0.5], the ratio of low to high relative power, and non-linear indicators, such as the value of the first and second standard deviation of the Poincaré plots, sample entropy, the value of decreasing fluctuation analysis index, and the spectral entropy of ECG signal [7], [8], [9].

Participants are asked to not eat an hour before test and washing their mouths before taking samples of saliva. The concentration of salivary cortisol was determined through the use of an enzyme-linked immunosorbent assay (ELISA) test. As the report of the commercial enzyme immunoassay (IBL, Hamburg, Germany) according to the manufacturer’s instructions, it has been determined that the normal concentration of cortisol between 9:00 AM and 2:00 PM ranges from approximately 5 to 15 ng/mL. Hence, the classification of individuals based on cortisol concentration into three distinct categories was conducted. The initial category encompassed individuals with cortisol concentrations below 5 ng/mL. The concentration of cortisol in the second category was within the normal range of 5–15 ng/mL. The third category encompassed individuals with cortisol concentrations exceeding 15 ng/mL.

Within this dataset, approximately half of the samples (n=314) were classified as class 2 (5–15 ng/mL). The lowest number of samples belonged to the class with a cortisol concentration of more than 15 (n=145), which was expected due to the nature of the data and its reality. Rest of data belonged at class 1 (n=175).

Data preprocessing

Some samples were missing from the studied dataset. The data that was not provided was augmented by the median of the desired feature values. This dataset contained 33 repetitive samples, which were removed.

All features were standardized so that they had an identical importance factor (IF) in the model training process, and the level of their values and measurement units would not be effective in their importance.

Equation (1) was used for data standardization.

(1) Z = X i Mean of the training samples Standard deniation of the training samples

In the mentioned equation, x i means i-th sample in this dataset.

Parameters adjustment

In order to attain the most effective cortisol classification model through 10-fold cross-validation, machine learning algorithms were employed to adjust the hyperparameters [1]. The adjustment of hyperparameters using Grid search tools was performed in order to find an optimized model on the dataset [11]. When the basic model was built in Python software, the hyper-parameters values were defined using Grid search tools until the algorithms used were able to achieve an optimized model on the dataset.

Machine learning algorithms

SVM, XGB, and MLP algorithms were used to construct machine learning models. These algorithms have been briefly explained.

SVM [12]

The support vector machine (SVM) is a supervised algorithm that can be used for classification and regression challenges. The support vectors utilized in this algorithm are a collection of points situated in the N-dimensional data space that delineate the boundaries of distinct categories. Delimitation and categorization of data are carried out based on these types of vectors. This algorithm aims to identify a hyperplane with the greatest distance, utilizing support vectors of each class. If the data is not linearly separable, the algorithm employs a mathematical function to map the data to another space where it can be separated. The adjustment of this mathematical function called kernel and hyperparameter C, which characterizes soft margin values, is so effective in the learning process of the model.

XGBoost [13]

eXtreme Gradient Boosting (XGBoost) is an advanced implementation of the gradient boosting framework, designed to optimize performance, accuracy, and scalability. It is widely used for supervised learning tasks such as classification, regression, and ranking.

XGBoost is a tree-based ensemble learning algorithm that builds a predictive model by combining the predictions of multiple weak learners (typically decision trees) in an iterative manner. It uses gradient boosting to minimize a loss function, with additional optimizations for speed, efficiency, and regularization to prevent overfitting. he objective function in XGBoost consists of two parts:

  1. Loss function: Measures how well the model fits the data (e.g., mean squared error for regression, log loss for classification).

  2. Regularization Term: Controls the complexity of the model to avoid overfitting.

MLP [14]

The multilayer perceptron (MLP) is a neural network that links multiple layers in a directed graph, thereby ensuring that the signal path only traverses a single direction through the nodes. This algorithm is a category of feedforward artificial neural networks (Figure 1).

Figure 1: 
Feedforward neural network.
Figure 1:

Feedforward neural network.

Until the outcome calculation is complete, the forward movement is repeated in this network. Multilayer perceptron networks include a set of weights that must be adjusted for neural network training and learning. The training phase encompasses the modification of parameters, or weight, and the model is biased towards error minimization. The training encompasses the process of adjusting parameters, weight, and model biases in order to minimize error. The back propagation algorithm is utilized to adjust the weight and bias rate in relation to error. In order to attain the optimal performance of this algorithm, the dataset shall adjust the hyper-parameters such as learning rate, non-linear activation function, repeat number, and implemented optimization type.

Assessment

To evaluate the classification-based models, we can use criteria such as accuracy, confusion matrix, precision, recall, and F1 score. The criteria utilized in this study comprise accuracy, confusion matrix, and F1-score. These criteria have been briefly explained below.

Confusion matrix

The confusion matrix is a two-dimensional table in which each dimension shows the actual and predicted values, respectively. Table 1 shows that each dimension has a true-positive (TP), true-negative (TN), false-positive (FP), and false-negative (FN) values.

Table 1:

F1 rate and the accuracy of machine learning models, including SVM, XBG, and MLP.

10 fold cross validation
Accuracy F1
SVM 0.96 ± 0.02 0.96 ± 0.02
XGB 0.99 ± 0.02 0.99 ± 0.02
MLP 0.93 ± 0.02 0.93 ± 0.02

Both the actual and predicted classes are positive.

TN refers to the fact that both the actual and predicted classes are negative.

The actual class is negative, and the predicted class is positive.

FN refers to the situation wherein the actual class is positive while the predicted class is negative.

Accuracy

The most prevalent criterion utilized in the evaluation of classification algorithms’ performance is accuracy. The quantity of accurate predictions compared to all predictions can be characterized as this number. Equation (2) indicates the calculation method for this criterion.

(2) Accuracy = TP + TN TP + FP + FN + TN

F1-score

This criterion indicates the harmonic mean of precision and recall. For its calculation, Equation (3) is used. The values of F1 are designated as 1 and 0 as the optimal and worst values, respectively.

(3) F 1 = Precision × Recall Precision + Recall

Results

A dataset from the Baqiyatallah University of Medical Sciences was used for the training of models. The mean and SD of variables were showed in Table 2. All datasets were trained and evaluated using a 10-fold cross-validation technique. To evaluate the performance of the trained model, F1, accuracy, and confusion matrix criteria were used.

Table 2:

The mean and SD of variables (salivary cortisol and HRV indexes) used to calculate the algorithms.

Cortisol Mean R-R SD of R-R Heart rate PVLF PLF PHF LFHF SD1 of Poincare plot SD2 of Poincare plot Sample entropy Alpha of DFA Spectral entropy
Class 1 (n=219) Mean 3.62 799.76 52.44 76.62 23.25 42.91 34 2.60 40.54 60.32 2.03 0.98 0.30
SD 1.06 99.05 26.50 10.6 19.57 14.98 21.48 3.13 32.43 30.49 0.62 0.33 0.12
Class 2 (n=353) Mean 8.28 770.10 51.75 79.87 27.07 42.2 30.79 2.36 38.57 59.23 1.9 0.99 0.29
SD 1.86 114.26 24.53 11.88 16.92 14.62 18.45 2.50 26.25 30.46 0.57 0.34 0.10
Class 3 (n=247) Mean 23.95 752.38 48.31 82.23 32.18 41.01 26.94 3.43 34.95 53.54 1.92 1.09 0.30
SD 14.71 117.26 28.17 12.63 19.99 16.54 18.99 5.41 31.67 32.58 0.68 0.30 0.09
  1. PLF, percentage of low frequency; PHF, percentage of high frequency.

As mentioned in the method section, three classes of cortisol concentration are the optimal range (class 2): 5–15 ng/mL, and other classes (class 1 and 3) are the non-optimal range: less than 5 ng/mL and more than 15. Table 1 depicts the F1 rate and accuracy of machine learning models that have been trained using the three algorithms, namely SVM, XBG, and MLP. The highest level of precision is attributed to XGB.

Figure 2 depicts the confusion matrixes derived from the evaluation of each of the three models. The SVM algorithm was able to place 98 % of data accurately in class 1, 96 % of data accurately in class 2, and 95 % of data accurately in class 3, on average, in 10 categories. The XBG algorithm was able to place 100 % of data accurately in class 1, 99 % of data accurately in class 2, and 98 % of data accurately in class 3, on average in 10 categories. Furthermore, the MLP algorithm could place 92 % of data accurately in class 1, 95 % in class 2, and 91 % in class 3, on average, in 10 categories.

Figure 2: 
Charts show the confusion matrix were derived from the implementation of SVM, XBG, and MLP.
Figure 2:

Charts show the confusion matrix were derived from the implementation of SVM, XBG, and MLP.

The rates of F1 and accuracy are approximately equal in each one of the three algorithms which shows the appropriate function of the machine learning models created. The confusion matrices indicate that models could predict the samples of classes 1, 2, and 3.

Discussion

The objective of the study was to establish cortisol as a reliable biological indicator of stress, utilizing HRV indices, a topic that had not been extensively explored in the literature. The current study demonstrated that the frequency and non-linear HRV indexes could separate the optimized cortisol level from the non-optimized cortisol level 1 (lower and upper than the normal range) in healthy adult men. The outcomes of this model were acceptable. The model constructed by the XGBoost algorithm demonstrated superior performance compared to MLP and SVM. The results of this study demonstrate that SVM, XBG, and MLP algorithms have equal F1 and accuracy rates and the same standard deviation.

Until now, no study similar to this has been conducted. According to statistical studies, it has been demonstrated that there exists a significant disparity in saliva cortisol levels with HRV indexes in stressful situations such as TSST, as compared to those in resting states [9]. Furthermore, these indexes have demonstrated a significant disparity in patients compared to healthy individuals [7], 9]. The classification studies in the field of stress indicate the presence or absence of stress based on the individuals report of HRV indexes [5], 6]. Stress initiates a variety of modifications in the brain centers and pathways that are documented [15], [16], [17] as well as changes in the autonomic control of the body. Alizadeh et al. conducted an evaluation in 2020 to determine the relative efficacy of band frequencies of brain activity and complexity features in classifying cortisol concentration in optimal and non-optimal states. The findings revealed that EEG features meticulously predicted the cortisol level through the utilization of Artificial Neural Networks, attaining an accuracy of 94.1 % [18].

The stress system does not always correspond to the awareness level perceived by the individual. Although the individual reports no stress in the recovery stage of stress, the cortisol level and some HRV indexes have not returned to normal levels [8]. This finding cautions that synchronizing the activity of the brain stress system with a conscious comprehension of stress and its classification based on biological and electrophysiological indicators such as HR may not yield precise information regarding the precise state of the brain stress system and its impact on biology. In a review of Korean researchers conducted in 2017, 37 studies were included in a meta-analysis study. After conducting a thorough examination of various HRV indicators in both the time domain and frequency, it has been determined that HRV is highly sensitive to changes in the stress-related activity of the autonomic nervous system, including but not limited to changes in the sympathetic nervous system and peripheral nervous system In the majority of studies, the HRV variables underwent modifications in response to the stress resulting from the various methodologies. The most common factor reported concerning changes in HRV variables was the decrease in parasympathetic activity, characterized by PHF decrease and PLF increase. The complexity of the HRV signal is also reduced by measuring the SDs of the Poincare plot of HRV, even after recovery time [7], [8], [9]. HRV is associated with the activity of a flexible network of brain structures that are dynamically organized in response to environmental challenges. As per the findings of brain imaging studies, it has been suggested that the presence of HRV may be associated with a decreased perception of threat, which is attributed to the activity of certain regions of the cerebral cortex, such as the ventromedial prefrontal cortex [19].

In light of the studies, the HRV response to stress in an individual with depression has strongly declined. PHF, PLF, and LF/HF in depressed individuals are opposite to those in healthy ones. Furthermore [20], individuals suffering from post-traumatic stress disorder (PTSD) exhibit a lower relative power in PHF and PLF, as well as in R-R signal intensity and SD, in comparison to individuals who are in good health. This decrease was particularly lower in PHF [21]. The surveying of PTSD studies revealed a total of 784 articles, of which 22 were incorporated into the conclusive analysis. The saliva cortisol level in PTSD patients was significantly lower when compared to the control group (p=0.022, 0.04; 95 % CI 0.53, SMD=0.028) [22]. Depressed individuals have a higher cortisol level than healthy individuals, and depression intensity has a direct relationship with the level of cortisol [23]. Individuals who experience a brain stroke at rest exhibit a higher level of cortisol than those who are healthy, and they do not exhibit an increase in cortisol levels subsequent to stressful circumstances such as TSST. These individuals exhibit a lower level of PLF in comparison to those who are in good health [7], 8].

The practice of self-reporting stress classification based on the HRV indexes has been extensively utilized. A study conducted in 2014 demonstrated that the HRV time and frequency variables could distinguish between the presence or absence of stress, moderate average stress, and high stress, based on the self-report of individuals with a power of 92 % [24]. Another study conducted in 2014 indicated that the prediction of cognitive stress, utilizing facial markers, heart rate, LF/HF ratio, and respirations per minute, could be achieved with a predictive power of 85 % [25]. In a study conducted in 2015, it was demonstrated that utilizing a combination of time, frequency, and non-linear HRV indicators, a radial basis function classification method coupled with an SVM was capable of distinguishing between drivers who were under severe stress and those who were in a normal situation, with a statistical significance of 83 % [26].

Conclusions

Based on the findings of the surveys conducted, it can be inferred that the machine learning model employed in this study, which is based on a collection of HRV linear and non-linear indexes with a high level of prediction, is favored over stress studies due to its high estimation power of 99 % and comprehensive estimation of the primary indicator of the stress system, cortisol concentration levels, as opposed to the self-report system of stress. This study is applicable to artificial intelligence methods used to evaluate the stress system state in unconsciousness state.


Corresponding author: Boshra Hatef, Neuroscience Research Centre, Baqiyatallah University of Medical Sciences, Mollasadra Ave, Tehran, Iran, E-mail:

Acknowledgments

The authors thank the laboratory of neuroscience research center of Baqiyatallah university of medical sciences.

  1. Research ethics: IR.BMSU.REC.1399.474 of Baqiyatallah university of medical sciences, approval date: 2020-12-09.

  2. Informed consent: Informed consent was obtained from all individual participants included in the study.

  3. Author contributions: Study conception and design: B.H and L.S; data collection: B.H and L.S and J.P.J; analysis and interpretation of results: J.P.J AND S.S; draft manuscript preparation: all authors. All authors reviewed the results and approved the final version of the manuscript.

  4. Use of Large Language Models, AI and Machine Learning Tools: None declared.

  5. Conflict of interest: The author states no conflict of interest.

  6. Research funding: None declared.

  7. Data availability: The data that support the findings of this study are available on request from the corresponding author.

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Received: 2025-02-06
Accepted: 2025-03-05
Published Online: 2025-04-15

© 2025 the author(s), published by De Gruyter, Berlin/Boston

This work is licensed under the Creative Commons Attribution 4.0 International License.

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