Variant sign conversion rule.
Premature heartbeat is also known as extrasystole. It means the foundation of sinus or ectopic heart rhythm, a certain pacemaker in the heart excitable earlier than the basic rhythm, cause the heart to be local or all happening prematurely remove pole. Premature atrial beats may lead to cardiomyopathy. The experimental data in this chapter are provided by Xishan People’s Hospital of Wuxi city, including normal ECG signals and abnormal ECG signals (atrial premature beat). The two types of ECG data sequences are processed experimentally through the variant measurement model, and the differences in the variant maps are compared.
- atrial premature beat
- ECG signal
- data sequence
- variant maps
Cardiovascular diseases are common diseases that seriously threaten human health , and the mortality rate caused by cardiovascular diseases continues to increase globally. ECG signal is the direct response of heart activity and the most effective way to analyze cardiovascular diseases. The object of this chapter is the atrial premature beat ECG signal in atrial arrhythmia. The experimental method is variant measurement model . The provider of ECG data is Xishan People’s Hospital of Wuxi city, Jiangsu Province China, and the later calibrator of ECG data is the First People’s Hospital of Yunnan Province China. This chapter includes relevant background to introduce atrial premature beat , variant measurement model, experimental data, and variant maps of atrial premature beat signals. There is a significant difference between the variant maps of normal and atrial premature beat ECG signals obtained through variant measurement schemes.
This chapter uses the variant measurement model and the visualization method of feature clustering to study the variant measurement of ECG signal data sequences. ECG signal utilizes multivalued logic function and variant principle to form variant logic symbol on n-element ECG signal sequence and output variant maps and observe the difference between different ECG signal data. The obtained variant maps can analyze the ECG data from the macroscopic level and express the information that cannot be reflected by the traditional ECG in an intuitive way. The application of variant maps in ECG signal is an extension of the original ECG signal methods. In practical applications, it is expected that the variant maps can assist the application of traditional ECG in the medical field and help clinicians to diagnose the test results more conveniently.
2. Relevant background
2.1 Atrial premature beats
Atrial arrhythmia is the most common arrhythmia clinically, which refers to a kind of arrhythmia caused by conduction obstruction when ectopic excitations are located in the atrium or conduction system passing through the atrium. It is mainly active arrhythmia, and atrial premature beat is the most common type of atrial arrhythmia. Atrial premature beats can be seen in normal healthy people, but in healthy people, there are few frequent atrial premature beats . Atrial premature beats is more common in organic heart disease patients, Hyperthyroidism, Coronary heart disease, Cardiomyopathy patients if frequent atrial premature beat, is the precursor of Atrial fibrillation, Acute myocardial infarction can also occur frequent atrial premature beat. Figure 1 shows the comparison between normal ECG and atrial premature beat ECG.
The picture is the atrial premature beat ECG. Patient information: male, 46 years old, arrhythmia, mean heart rate 62 bpm, early occurrence of P′-QRS-T in limb leads, 160 ms in P’R interval, incomplete compensatory interval, such expression is a atrial premature beat.
2.2 Variant measurement model
In 2010, variant model  was proposed with the stability of cellular automata as an example; the effect of variant and non-variant functions on binary logic functional space was explained. In 2011, the conditional probability statistical distribution of the variant measurement structure  is discussed. By simulating the two-state quantum interaction system, the variant two-path simulation model was established. With the continuous development of variant construction, this model has been applied in many fields: coding and non-coding DNA  sequence detection, random sequence testing , classification of cellular automata , classification of echolocation in bats , ECG signals [10, 11], and variant construction .
2.3 Variant logic
The core theory of variant measurement model is variant logic, which is extended and evolved on the basis of classical logic. In the variant logic function, assuming that the input sequence is
2.4 Variant visualization
The variant measurement model describes the measurement as the four meta symbols:
The 16 subsets correspond to the 16 measures:
If any measure is selected as the value of
2.5 ECG signal variant measurement structure
Variant measurement structure is composed of three components: input, processing, and output. The input ECG signal is provided by Wuxi Xishan People’s Hospital. The data processing module is the core module of variant measurement and consists of variant module, statistical measurement module, and visualization module. The final output is variant maps. The structure of ECG signal variant measurement is shown in Figure 2.
2.6 Data processing module
The data processing module is divided into three parts: variant module, measurement statistics module, and visualization module. The variant module is the most important part of the variant measurement model. It is mainly responsible for transforming the original ECG signal sequence into the sequence of four basic variant logic symbols
2.7 Core module
2.7.1 Variant module
The variant module is the most core module in the variant measurement model. It is mainly responsible for converting the obtained ECG signal sequence into four variant logical symbol
Considering that the difference value can reflect the increase or decrease of adjacent ECG data, the difference value of the overall ECG data can reflect the fluctuation of the sequence; the mean value can reflect the level of adjacent ECG data, so the mean value of the overall ECG data can reflect the overall level of the sequence. In the process of data transformation, the variant module selects the difference, global difference, mean, and global mean as the measurement parameters. Using the parameters defined in Eqs. (1)–(4), the corresponding
2.7.2 Measurement statistics module
As shown in Figure 3, for n-1 long variant logic symbol sequence, set the segment length parameter
2.7.3 Visualization module
The visualization module determines the selection of coordinates
3. Data sets
The ECG data is provided by the people’s hospital of Wuxi Xishan. The CB series ECG review analyzer is used to measure blood pressure of ECG data. Through the system of the patient’s ECG information is stored in 18 data files, one of .dat files is stored in the patient’s ECG data, by reviewing the ECG blood pressure of CB series data of ECG analysis system is read as shown in Figure 4.
As shown in Figure 4, the patient’s ECG was collected with three-lead, and the heart rate data of CH1 lead was recorded at a sampling point of 1.5 s on average. The ECG signal was imported into the database for variant measurement experiment. This set of ECG data includes 105 patients. By analyzing the diagnosis results of each patient, this data set can be divided into two categories: normal and abnormal. Abnormal ECG data includes four types of symptoms: atrial premature beat, 64 cases; ventricular/atrial premature beats and T changes, 9 cases; premature ventricular/atrial beats and complete right bundle branch conduction block, 4 cases; atrial fibrillation and ST-T changes, 4 cases; and normal, 24 cases. In this chapter, atrial premature beat and normal ECG data were selected for variant measurement.
4. Experimental results
4.1 Two-dimensional overall maps
As shown in Figure 5, the red diagram on the left is a variant map of normal ECG signals; the blue on the right is a variant map of atrial premature ECG signals, with the same mapping of
4.2 Two-dimensional combination maps
As shown in Figure 6, the two-dimensional combination maps put the results of the variant of the normal ECG signal and the atrial premature beat ECG signal in one picture, and the four combinations in Figure 6 are
As shown in Figure 7, the two-dimensional combination maps also put the results of the variant of the normal ECG signal and the atrial premature beat ECG signal in a single graph. The 12 combinations in Figure 7 are
4.3 Three-dimensional combination maps
As shown in Figures 8–10, the three-dimensional combination maps are a combination of the normal ECG signal and the atrial premature beat ECG signal in the three-dimensional space. The mode of the (X, Y, Z) combination in Figure 8 is
5. Results analysis
Through the display of two-dimensional integral maps, two-dimensional combination maps, and three-dimensional combination maps, we can observe that:
The two-dimensional integral maps are to show the macro difference between the normal ECG signal and the atrial premature beat ECG signal through the variant experiment. From the two-dimensional whole figure, there are significant differences in the distribution shape and range between normal and abnormal ECG signals. The variant maps of the normal ECG signal show that the scattered points are disperse, even spreading the entire canvas, and the shape of the atrial premature beat ECG signal appears as an irregular cone. As the mapping mode changes, the shape of the variant maps also change, but the normal and abnormal ECG signals always exhibit different variant characteristics.
The two-dimensional combination map puts the variant maps of the two types of ECG signals on one canvas, and the difference between the normal and abnormal variant obtained by the same mapping method is more clear on one canvas. The mapping method selected in this chapter is more comprehensive, so the obtained variant map results are also universal.
The three-dimensional combination map is based on the two-dimensional combination maps subjoining the Z-axis to form a spatial distribution display of the variant maps. The (X, Y, Z) combination of the three-dimensional combination map selects
6. Summary and outlook
In this chapter, the variant measurement model is used to perform the variant experiment on the acquired batch ECG data. Finally, the experimental results of the variant measurement are displayed through three visualization methods. It is found through experiments that the variant measurement model can be well applied to the classification of normal ECG signals and atrial premature beat ECG signals.
In the future, we hope to get more abundant ECG data and can cooperate with the hospital to implement the application of the variant measurement model in the classification of ECG signals, so that it can assist the traditional ECG application in the clinical field.
Thanks to the Xishan People’s Hospital of Wuxi City of Jiangsu Province for ECG datasets, to First People’s Hospital of Yunnan Province for calibrator of ECG data, and to the Key Project of Electric Information and Next Generation IT Technology of Yunnan (2018ZI002), National Science Foundation of China NSFC (61362014), and the Overseas Higher Level Scholar Project of Yunnan for financial supports of the project.
Thompson SC, Ting SA. Avoidance denial versus optimistic denial in reaction to the threat of future cardiovascular disease. Health Education & Behavior the Official Publication of the Society for Public Health Education. 2012; 39(5):620
Zheng J, Zheng C. Variant measures and visualized statistical distributions. Acta Photonica Sinica. 2011; 40(9):1397-1404
Mitchell LB. Atrial Premature Beats. The ECG. Springer. 2004:239-335
Wallmann D, Tüller D, Wustmann K, et al. Frequent atrial premature beats predict paroxysmal atrial fibrillation in stroke patients: An opportunity for a new diagnostic strategy. Stroke. 2007; 38(8):2292-2294
Zheng J, Zheng C. A framework to express variant and invariant functional spaces for binary logic. Frontiers of Electrical and Electronic Engineering in China. 2010; 5(2):163-172
Zheng J, Zheng C, Kunii TL. A Framework of Variant Logic Construction for Cellular Automata, Cellular Automata—Innovative Modelling for Science and Engineering. Rijeka, Croatia: InTech Press; 2011
Zheng J, Luo J, Zhou W. Pseudo DNA sequence generation of non-coding distributions using variant maps on cellular automata. Applied Mathematics. 2014; 5(1):153-174
Zheng J. Novel Pseudo Random Number Generation Using Varian Logic Framework. Australian Security Congress. 2011:100-104
Heim DM, Heim O, Zeng PA, Zheng J. Successful creation of regular patterns in variant maps from bat echolocation calls. Biological Systems: Open Access. 2016; 5:166. DOI: 10.4172/2329-6577.1000166
Leng L, Zheng J. Mapping ECG signal sequences on variant maps. In: 2017 IEEE Trustcom/BigDataSE/ICESS; 2017. pp. 881-884. DOI: 10.1109/Trustcom/BigDataSE/ICESS.2017.326
Leng L, Zheng J. Visualization research of ECG sequence in sinus arrhythmia. Computer Science. 2016; 43(s2):183-185 (in Chinese)
Zheng J. Variant Construction from Theoretical Foundation to Applications. Springer-Nature. 2019. DOI: 10.1007/978-981-13-2282-2