Three-Dimensional Reconstruction Algorithm for CT Pulmonary Angiography in Patients with Pulmonary Embolism Combined with Syncope

+is paper aimed to study the clinical characteristics of patients with pulmonary embolism (PE) with syncope (PE + S) based on the three-dimensional (3D) reconstruction algorithm in computed tomography (CT) pulmonary angiography (CTPA). In this study, 857 patients with acute PE (APE) who were treated in hospital were selected as the research objects and divided into syncope group (group S) and nonsyncope group (group NS). +e 3D reconstruction marching cubes (3DR-MC) algorithm was compared with the traditional MC (T-MC) algorithm and the mesh simplification MC (MMS-MC) algorithm, and the results proved that the running time of the 3DR-MC algorithm on the platform was shorter than that of the other two algorithms. +e incidence of syncope in group S in women was higher than that in group NS (51.7% vs. 38.2%).+e incidence of syncope classified as high risk in group S was higher than that in group NS, and the mortality rate of pulmonary embolism patients with syncope was higher, and the difference was statistically significant (χ �113.332, P< 0.05).+e incidence of syncope in group S was higher than that in group NS (χ � 4.074, P< 0.05). In short, hypertension was an independent risk factor for syncope. PE + S patients could be diagnosed and treated as early as possible based on the clinical characteristics, so as to reduce the adverse consequences of misdiagnosis.


Introduction
APE refers to a pathological syndrome in which endogenous or exogenous emboli block the main trunk or branches of the pulmonary artery, leading to pulmonary circulatory disorders. Its mortality rate is the second only to tumors and myocardial infarction [1]. Clinically, there are many factors that cause syncope in patients, and the heart and cerebrovascular diseases are considered firstly. However, syncope caused by PE is often ignored, which increases the false negative rate (FNR) and false positive rate (FPR). Previous studies have shown that syncope is one of the common symptoms of PE and 17.3% of PE patients taking syncope as the first symptom [2]. Sivilotti et al. [3] pointed out that the incidence of PE + S was about 22%. erefore, PE + S deserves the clinical attention to analyze the clinical characteristics of its patients, thereby reducing the FNR and FPR.
CT uses X-rays to scan a certain part of the human body together with a highly sensitive detector. It has the characteristics of fast scanning time and clear scanned images [4]. e imaging principle is to use energy rays to scan an object, rely on projection data obtained from the outside of the object, and use a specific reconstruction algorithm to present the tomographic imaging of the inside of the object in the form of a 2D or 3D image. In recent years, CT images have been widely used in the field of medical clinical diagnosis. Tomography is performed on the injured parts of the human body, and the disease is determined by analyzing the images. CT examination has become an indispensable way in the medical field of lung diagnosis [5]. With the continuous update of the 3D cone-beam reconstruction algorithm, the MC algorithm proposed by Chacón et al. [6] is relatively prominent, although it can only get good results when the reconstruction cone angle is small. However, it has the advantages of simple operation, effective method, and fast effect, so the MC algorithm has always been the main algorithm used in actual projects. e innovation of this study is based on the 3DR-MC algorithm, which is compared with the traditional MC (T-MC) algorithm and mesh simplification (S-MC) algorithm and applied to CT pulmonary angiography of 857 patients with pulmonary embolism. e objective of this study was to investigate the differences in clinical characteristics and mortality during hospitalization in PE patients with and without syncope, so as to provide reliable reference and assistance for clinical diagnosis.

Materials and Methods
2.1. General Information. 857 patients who were medically diagnosed as APE patients in the hospital from January 2015 to January 2017 were selected as the research objects in this study, including 522 males and 335 females. ey were divided into group S (58 cases, 65.1 ± 14.8 years old) and group NS (799 cases, 61.6 ± 15.8 years old) according to whether they were accompanied by syncope. e study had been approved by the Medical Ethics Committee of Hospital, and the patients and their families had understood the study and signed the informed consents.
Inclusion criteria were defined as follows: APE patients diagnosed by CTPA examination with available imaging data; patients with acute onset; patients with detailed hospitalization records in this hospital; and patients without thrombolytic therapy before admission. e exclusion criteria were determined as follows: patients with chronic PE who were repeatedly hospitalized; patients with only clinical diagnosis and lack of direct evidence; patients who were suggested with embolism by CTPA and other examinations but not clinically consistent; patients with coronary heart disease; and patients with unclear CT images.

Research Methods.
e medical history of the two groups of patients was collected, including the history of previous diseases (cardiovascular disease (CVD), respiratory disease, venous thrombus embolism (VTE), and diabetes), symptoms at the onset (chest pain, cough, hemoptysis, dyspnea, etc.), and signs of syncope (shock, accelerated heart rate, and electrocardiograph (ECG) changes), biochemical examination (brain natriuretic peptide (BNP) and troponin), echocardiography (right ventricular dysfunction (RVD)), venous thrombosis of the lower limbs or not, CTPA examination (a large area thrombus or not), PE severity index (PESI), and PE-related mortality. e collected clinical indicators were based on the data from the first examination after the onset of syncope symptoms to the doctor within 24 hours.

Diagnostic Criteria.
e diagnostic criteria of syncope referred to the 2009 European Society of Cardiology (ESC) guidelines, which were sudden and short loss of consciousness, which was featured with fast onset, short duration, and self-limiting [7]. e PESI was determined based on the recommendations of the 2014 ESCAPE guidelines: (1) e low-risk group referred to the absence of RVD and shock, and the score was 0. (2) e moderately low-risk group referred to the combination of RVD or elevated myocardial injury markers, and PESI score was no lower than 1. (3) e moderately high-risk group referred to the presence of both RVD and elevated myocardial injury markers, and the PESI score was no lower than 1. (4) e high-risk group referred to shock, RVD, and increased myocardial injury markers, and the PESI score was no lower than 1.
e PESI scoring criteria was to add 1 score to PE patients for one the following items, including tumor, chronic heart failure or chronic lung disease, heart rate ≥110 beats/min, systolic blood pressure (BP) <100 mmHg, and oxygen saturation <90% [8]. e diagnostic criteria of myocardial injury referred to the standards proposed by the American Heart Association (AHA) in 2011, and it was diagnosed when the myocardial injury marker cardiac troponin I (cTnI) >0.4 ng/ ml in PE patients [9]. RVD was defined as an echocardiographic examination showing right ventricular dilation (end diastolic right ventricular diameter/left ventricular diameter >0.9 or 1.0). Shock was defined as systolic BP less than 90 mmHg, average arterial pressure less than 65 mmHg, or a decrease of ≥40 mmHg from the baseline [10].

CT Examination.
e dual source CT scanner (SOMATOM Definition，Siemens Medical Solutions， Forchheim, Germany) was adopted. Before the examination, the patient was instructed to remove the metal jewelry on the chest, tested with an iodine allergy in advance, explained the scanning process, and required to maintain a calm mind. Firstly, the scan range was from the thoracic entrance to the diaphragmatic level. en, an enhanced scan was taken. e contrast agent was injected using the bolus injection method. e injection rate of contrast agent iopromide injection was 4 mL/s, and the injection volume was 40 mL. en, 30 mL of normal saline (NS) was injected in the same way to reduce the concentration of contrast agent in the superior vena cava. And, the scanning time was delayed for 3 seconds. Care dose 4D and care kV modes were used for scanning, the scanning layer thickness was 0.625 mm, the scanning interval was 0.625 mm, the pitch was 1.2 : 1, the matrix was 512 × 512, the voltage was 100 kV, and the current was 200 mA. 2 Scientific Programming

Calculating Steps of 3DR-MC Algorithm.
e basic research unit of the MC algorithm was a voxel, which was a cube structure composed of 8 vertices in adjacent parts of the data field (as shown in Figure 1).
Firstly, the position of each edge in the voxel was determined, and then the cross coordinates of the intersection point was determined. It meant that determining the positions of all the vertices of the triangle surface can determine the location coordinates of the triangle vertices in the voxel in space. e traditional algorithm adopted the linear interpolation to calculate. It was assumed that the edge of each side of the voxel was parallel to the axis a, b, and c. e vertex coordinates S(a, b, c) of the triangular surface were defined as follows: (1) In the above equations, S 1 (a 1 , b 1 , c 1 ) and S 2 (a 2 , b 2 , c 2 ) were the coordinates of the vertices of the two edges of the voxel, and h 1 and h 2 were the gray values of the two vertices in S 1 and S 2 ; and F referred to the determined threshold. In order to make the reconstructed function image clearer, it was necessary to calculate the normal vector of the triangle surface, use the central difference method to calculate the gradient value of the vertices in the voxel, and then solve the triangle surface vertex normal vector with linear interpolation. e gradient equations for vertex coordinates of the voxel edge could be expressed as follows: 2q , (2) In the above equations, p, q, and s represented the side length of the cube, M(a, b, c) indicated the function value of the coordinate point (a, b, c), referring to the gray value; and H a , H b , and H c represented the gradient values in the three directions. To obtain the gradient value of the voxel edge length vertex, the normal vector R(R a , R b , R c ) of the triangle vertices had to be available. e specific equation could be written as follows: In the above three equations, R(R a1 , R b1 , R c1 ) and R(R a2 , R b2 , R c2 ) were the normal vectors at the two vertices of the edge of the voxel; and F referred to the determined threshold. Δh � h 2 − h 1 , where H 2 and H 1 were the gray values of the vertex of the edge. e appropriate voxels of equal face value were selected to calculate the normal vector and the equivalent point. In this study, the golden section point of the edge was replaced to the linear interpolation, and the related equations were as follows: If the cross of edges was located at axis a, b, and c, the cross coordination could be calculated with (a + ( respectively. If the cross of edges was located at axis a, b, and c, the normal vector of the cross could be calculated with R(a, b, c)), respectively.
In the above equations, R � R(a, b, c) referred to the vector of coordination (a, b, c) and R represented the normal vector.

Statistical Methods.
e SPSS 22.0 statistical software was employed for analysis. e Kolmogorov-Smirnov method was to test the normality of continuous variables. e data met the normal distribution were represented by the mean ± standard deviation. e independent sample ttest was applied for comparison between groups. e data of nonnormal distribution was expressed with median (P25, P75). e comparison was taken using the Mann-Whitney U rank sum test. e categorical variables were verified with The NTH plus one slice The NTH slice

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Pearson 2 and Fisher, and P < 0.05 indicated statistical difference. Multivariate unconditional logistic regression analysis was performed on variables with statistical meaningfulness in univariate analysis.

Comparison on Reconstruction Effects of ree Algorithms.
e 3DR-MC algorithm constructed in this study was compared with the T-MC algorithm and the MS-MC algorithm in reconstructing pulmonary lobe, and the results are illustrated in Figure 2. e running time of the proposed algorithm was shorter than that of the T-MC and MS-MC algorithms with obvious difference (P < 0.05).
e results showed that the proposed algorithm was adjusted on the basis of the traditional algorithm, which could reduce the reconstruction time under the premise of ensuring the reconstruction effect, thereby effectively satisfying the needs of medical research.

General Information of Two Groups of Patients.
ere was no observable difference in age between the two groups of patients ( Figure 3). In addition, there was no huge difference in the comparison of comorbidities such as gender, hypertension, and diabetes, which can be studied and compared.

CT Imaging Characteristics of PE Patients.
During the CT scan, high-density or low-density foci could be seen on the main pulmonary artery and the main trunks or branches of the left and right pulmonary arteries. e high-density foci represented fresh thrombus, and the low-density foci represented old thrombus. Pulmonary artery obstruction signs could be observed, such as regional lung texture thinning, sparseness or disappearance, and increased lung field transparency. In addition, it could be manifested as widening of the right lower pulmonary artery or accompanied by truncation signs, pulmonary artery segment bulging, right ventricular enlargement, and other signs of pulmonary hypertension. PE caused pulmonary arteries to change, which was manifested as local triangular lung tissue incidents. e consolidated lung tissue may become necrosis, forming a cavity. Short-term changes in the cavity were great, deep vein thrombosis was formed in the lower limbs, and pulmonary artery cavity suffered from filling defect (as shown in Figure 4).
During the enhanced CT scan, the embolized pulmonary arteries were dilated and thickened, and there were some long strips or irregular filling defects in the embolized part, showing low-density (as given in Figure 5). Some patients showed partial shadows in the lung field, wedge-shaped shadows with the tip pointing to the hilum, atelectasis and insufficiency, and other secondary changes in lung tissue. On the side with atelectasis, the diaphragm could be elevated and combined with less to mid amount of pleural effusion sometimes.

Clinical Characteristics of Patients in Group S and Group NS.
e incidence of syncope among 857 PE patients was 6.8%. e incidence of group S in women was higher than

Risk Classification of Patients in Group S and Group NS.
e incidences of high-risk and moderately high-risk in group S were higher, so the mortality of PE + S patients was higher hugely in contrast to group NS (χ 2 � 113.332 and χ 2 � 4.074, respectively, P < 0.05), which could be observed in Figure 6. Figure 7 illustrated that the incidences of moderately low-risk and low-risk in group S were much lower in contrast to group NS (χ 2 � 6.250 and χ 2 � 5.479, respectively, P < 0.05).

Univariate Analysis of PE + S.
e values to variables with obvious differences in univariate analysis were assigned: 1 for yes and 0 for no (taking gender, history of Note. e rate >100 beats/min could be determined as increased heart rate. BP at shock was defined as the mean arterial pressure was less than 65 mmHg, the systolic BP was less than 90 mmHg, or 40 mmHg lower than the basic value.  Scientific Programming hypertension, dyspnea, BP at shock, troponin and BNP, S I Q III T II on ECG, increased heart rate, RVD, and extensive thrombosis as independent variables). e specific assignments are shown in Table 2.

Multivariate Analysis of PE + S.
Multivariate unconditional logistic regression analysis found that hypertension, BP at shock, and extensive thrombosis were independent risk factors for syncope. PE patients with a history of hypertension were 4.3 times more likely to have syncope than those without hypertension (as illustrated in Figure 8). Figure 9 disclosed that PE patients with BP at shock were 41.1 times more likely to have syncope than those without BP at shock. PE patients with extensive thrombosis were 14.2 times more likely to have syncope than those without it, and the specific values could be obtained in Figure 10.

Discussion
APE is a common clinical emergency and critical illness. e dyspnea and chest pain are the most common. e incidence of syncope in PE is much lower than that of dyspnea or chest pain [11]. Epstein et al. [12] pointed out that the incidence of syncope in patients with PE is about 22%. In this study, the incidence of syncope was about 7%, while the incidence of dyspnea and chest pain were about 41% and 14%, respectively, which were consistent with previous studies. In the past, if a patient suffered from syncope, cardiogenic diseases or CVD were often given priority. erefore, syncope caused by PE was misdiagnosed as a cardiogenic disease or CVD, which delayed the optimal treatment time for such patients and resulted in increased mortality. On the other hand, syncope is often a sign of fatal PE. If clinicians can accurately and quickly identify the cause of syncope and give appropriate treatment, mortality can be reduced greatly. Monté et al. [13] applied the traditional MC algorithm to CT images of 113 patients with PE and found that the reconstruction time of the traditional MC algorithm was longer. Sink et al. [14] simplified the running time of MC algorithm in CT examination based on the grid, and the reconstruction effect was relatively ideal. Based on the above research, the 3 DR-MC algorithm was constructed in this study, which not only guaranteed the effect of CT image reconstruction in patients with PE but also greatly reduced the running time of the algorithm.
Comparing the A-MC algorithm constructed in this study with T-MC algorithm and S-MC algorithm in the reconstruction of left and right lung lobes, it can be found that the algorithm in this study has shorter running time on the platform than T-MC and S-MC algorithm, and the difference is statistically significant (P < 0.05). e A-MC algorithm can be adjusted on the basis of the traditional algorithm, which can reduce the reconstruction time and effectively meet the needs of medical research on the premise of ensuring the reconstruction effect. e occurrence of PE + S is the result of multifactor interaction. It was found in this study that patients with hypertension, BP at shock, and  extensive thrombosis were more likely to have syncope, and these three were independent risk factors for syncope. In this study, the incidence of hypertension in group S was relatively high (about 43%). Syncope caused by hypertension may be due to a decrease in blood return after cerebral arteriosclerosis, causing transient cerebral ischemia. Previous studies have found that the risk of hypotension is higher especially in the early stages of syncope. In this study, the incidence of BP at shock during syncope was about 29%, which may be due to the drop in BP due to PE, leading to arrhythmia. Compared with shock, patients with syncope are more likely to have RVD. Changes in RVD play a key role in the overall pathophysiological changes. Syncope is related to malignant arrhythmia, APE can also cause Arrhythmia, and RVD can increase the risk of malignant arrhythmia, leading to the occurrence of syncope. Previous studies have also shown that PE patients with syncope are more prone to RVD [15], which was consistent with this study. ere were around 21% of patients with syncope suffered from extensive PE among the included objects. Previous studies have found that the incidence is about 13%-60% [16]. e probability of syncope in patients with extensive thrombosis was 14.2 times that of no extensive thrombosis, which may be caused by increased pulmonary hypertension and RVD after extensive PE and decreased left ventricular filling, leading to a decrease in cardiac output. Clinically, patients with extensive PE should be alert to syncope.
Since syncope in PE patients may indicate severe pathophysiological changes, its prognosis has always been the focus of attention. Many studies have shown that the PESI score is a highly reliable clinical prognostic indicator for PE patients. e higher the PESI score, the higher the mortality rate of PE patients. In this study, the proportions in group S classified as high-risk and moderately high-risk were greater than those of group NS, and the mortality rate in group S was also higher, reaching 17.2%, which was consistent with previous studies [17]. Sulaiman et al. [18] found that a previous history of syncope is one of the independent risk factors for increased mortality during hospitalization, especially in elderly patients. Autopsy studies on PE patients also confirmed that the prominent symptoms in PE patients included the sudden syncope.

Conclusion
e 3DR-MC algorithm was adopted to compare the effects of the T-MC algorithm and the MS-MC algorithm in reconstructing the left and right lung lobes. It was found that the algorithm in this study had a shorter running time on the platform in contrast to that of the other algorithms. After it was applied in the CTPA of PE patients, it was found that PE + S was the result of multifactor interaction, and the incidence of syncope in PE patients was not low, and the mortality rate could be increased, so it required a high degree of vigilance. e deficiency of this study is that the risk factors considered in the diagnostic criteria of syncope are not comprehensive enough, which will have an impact on the results of the study, more comprehensive risk factors need to be included in the later stage to further explore. All in all, PE + S patients had certain clinical characteristics, based on which the disease could be diagnosed as early as possible. It was helpful for correct treatment and reducing the adverse consequences caused by improper diagnosis and treatment.

Data Availability
e data used to support the findings of this study are available from the corresponding author upon request.

Conflicts of Interest
e authors declare no conflicts of interest.

Authors' Contributions
Zhongxing Zhang and Yan Zhang contributed equally to this work.