Deep-Learning-Based MRI Images for Analysis of Sport-Induced Ankle Joint Injury

(is study was to analyze the sport-induced ankle joint injury (AJI) images based on the neural network algorithms using the magnetic resonance imaging (MRI). 20 patients and 20 volunteers were included in the experimental and control groups, respectively. (e hybrid diffusion equation (HDE) neural network (HDENN) algorithm was compared with the fully convolutional neural network (FCNN) and the FCNN preprocessing, and the HDE was applied to the MRI analysis of sport-induced AJI.(e results showed that the total score of MRI image for the conventional position of the anterior talofibular ligament (ATFL) and posterior talofibular ligament (PTFL) was concentrated in 4 (55%) and 5 (65%), respectively. (e number of patients with good prognosis with grade II injury (11 cases) was much higher than that of grade III injury (2 cases), and the number of patients with poor prognosis (4 cases) was lower than that of grade III injury (6 cases) (P< 0.05). Conventional MRI was recommended to observe the ATFL and PTFL, and the valgus positionMRI was recommended for the calcaneofibular ligament (CFL); conservative treatment was recommended for patients with grades I and II AJI, but surgical treatment was recommended for patients with grade III AJI.


Introduction
Located between the lower leg and the foot of the human body, the ankle joint mainly undertakes the weight-bearing function of the human body during exercise. It mainly relies on the cooperation of ligaments and tendons to maintain its stability [1]. AJI is a common bone injury in life, which refers to the ankle joint swelling and pain due to excessive stretching and tearing of the ankle joint ligament [2]. In clinical medicine, the most common AJIs include joint ligament injury, dislocation, and fracture [3]. Most AJIs are caused by fixed and rapid foot movement, sudden inversion, and adduction of the ankle joint, causing ligament tears and injuries and severe cases with ankle fractures [4]. If the treatment is not performed in time, or the treatment is not thorough, it will cause repeated sprains in the future and seriously affect the normal function of the joints. erefore, it is necessary for clinical medical staff to master anatomical knowledge of ankle joints, find the ankle joint and surrounding ligament injuries in time, and adopt corresponding treatment measures.
In recent years, AJI can be inspected with clinical pathology, computer tomography (CT), ultrasound, and MRI [5]. When the ankle ligament is acutely injured, the patient is unable to cooperate due to pain and swelling of the ankle join, which increases the difficulties of clinical pathological examination. In recent years, with the development of bioimaging, CT examination plays a very important role in fracture classification and to a certain extent provides imaging support for clinical treatment. However, due to its lack of clarity and resolution, the final image cannot completely show the ligament injury and the condition of the parenchyma, making it unable to be used in the inspection of the ankle ligament [6]. MRI is a medical imaging technique used in radiology. It uses the combined action of strong magnetic fields, magnetic field gradients, and silent electric waves to form images of human organs, so as to analyze physiological processes or anatomical images of the body [7]. MRI imaging is widely used in the skeletal system. Liu et al. [8] used MRI imaging to diagnose the AJI and found that MRI imaging is highly sensitive in diagnosing ligament injuries.
Blissett et al. [9] combined the conventional MRI images and used various postural MRI to study AJI, providing a good reference for clinical diagnosis of ankle joints. e importance of computer processing images in clinical applications cannot be ignored. e mathematical algorithms used play an inestimable role. However, the current MRI imaging based on neural network algorithms is not mature enough. In this study, the mixed diffusion equation could process objective phenomena into MRI images and perform special processing on the images [10]. e HDE neural network algorithm proposed in this study was compared with FCNN and FCNN preprocessing for effective comparison and analysis, and it was applied to the MRI image analysis of sport-induced AJI. e objective of studying AJI and pathological grading was to detect whether MRI images can effectively assess motor AJI and provide a simple and efficient diagnosis method for the clinic.

Research
Subjects. 20 sport-induced AJI patients who were treated in the hospital from November 1, 2019, to September 28, 2020, were selected and included in the experimental group, and 20 healthy volunteers were selected and included in the control group. ere were 23 males and 17 females, with the average age of 49.58 ± 12.54 years. e experiment had been approved by the Medical Ethics Committee of Hospital, and the patients and their families had understood the research situation and signed the informed consent forms. e inclusion criteria were defined as follows: patients who were clinically diagnosed as AJI, patients with complete clinical diagnosis data, and patients with good quality of MRI image. e exclusion criteria were defined as follows: patients who had undergone the ankle joint anatomy surgery; patients who suffered from ankle fractures caused by violence; patients who suffered from arthritis, osteoporosis, and joint infections; and patients with contraindication of MRI scans that were able to cooperate the MRI scans.

MRI Technology.
e research subjects were scanned with a 3.0T magnetic resonance instrument manufactured by Magnetom Trio Tim System, Siemens. During the scan, the patients and volunteers were asked to be in a supine position, with the knee joints straightened and relaxed. When the conventional ankle joint plantar was bent for around 25°in valgus position, the scanning range was determined as follows: it was scanned from up to down, starting from the inferior tibiofibular syndesmosis at the top and ending at the lower edge of the root bone at the bottom. All MRI images in this study were completed by experienced radiologists. T1WI and T2WI were selected to scan the cross-sectional, sagittal, coronal, and valgus position of the ankle joint, respectively. Scanning parameters were as follows: the matrix was 251 × 251, the layer thickness was 3.5 mm, the field of view was 25 × 25 cm, the flip angle was 15°, and the layer spacing was 6.1 mm.

e Scoring Standard and Grades of MRI Images of Ankle Ligament Injury.
e scoring standard of ankle ligament MRI images was as follows: 0 point indicates that the basic structure of the ligaments cannot be identified; 1 point indicates that only a small part of the ligament can be observed, which was dotted or patchy; 2 points indicate that most of the ligaments were visible, and the beginning or end of the ligament can be clearly seen, showing a strip-shaped cross-sectional signal; 3 points indicate that the beginning and end of the ligament can be observed, clearly showing the full length of the ligament. e pathological classification of MRI images of ankle ligament injury is as follows: grade I suggests that the basic structure of the ligament was complete but with swelling; grade II suggests that the ligament was in irregular shape and the fiber bundles were torn, showing high signal; and grade III suggests that the ligament was broken and discontinuous, and the whole paragraph was in wave shape.

Analysis Process of MRI Image for Ankle Joint.
All ankle joint images were completed and discussed by two senior imaging diagnosticians. e ankle ligaments in different positions were observed to analyze the MRI images, so as to evaluate the specific situation of the ankle ligament injury under the normal position MRI and valgus position MRI, respectively. e normal position MRI images were compared with valgus position MRI examinations to explain the changes in the ankle ligaments and to classify the ligament injuries. e ankle images of 20 volunteers were scored for diagnosis, and then the coronal and sagittal scores of each image were added together, and the final score was undertaken as the standard for evaluating the final effect. 20 AJI patients received conservative treatment, and the results of normal position and valgus position MRI were compared during the treatment.

Neural Network Algorithm Based on the HDE.
e basic unit of the neural network model was the neuron (as shown in Figure 1), which was a general neuron model with m data inputs. e vector a � (a 1 , a 2 , ..., a m ) T was the input of the neuron and ϖ � (ϖ 1 , ϖ 2 , ..., ϖ m ) T was an adjustable input weight. β represented the offset signal and was the threshold of the neuron. v referred to the basis function of neuron and was a multiple data input, the single data output function was represented with v(a, ϖ, β), and g(v) represented the activation function, which acted on a nonlinear mapping and processed the data output of the basis function.
e algorithm proposed in this study was converted so as to satisfy the following nonlinear diffusion equation: In equations (1)- (3), g represented the initial noise image; v represented the basis function of the neuron, which was multiple data inputs; a ∈ Ω represented the two-dimensional area range of the image, which satisfied k > 1, 0 < l < 1, 0 < δ < 1. For the gradient term, the forward or backward difference method was adopted for numerical discretization: Equations (4) and (5) were discretized continually. e vector a � (a 1 , a 2 , ..., a m ) T represented the input vector of the neuron and v referred to the basis function of the neuron, which could be calculated with the following equations: In equations (6) and (7) above, P � |∇v| k− 2 ∇v and Q � |∇v| l− 2 ∇v could be satisfied, and v represented the basis function of the neuron. To ensure the stability of the data in the equation, when the forward difference was selected, the external difference format should be backward, and the following equation could be obtained: In equation (8), 0 ≤ i ≤ I, 0 ≤ j ≤ J was satisfied. I represented the number of pixels in the horizontal direction of the image; J represented the number of pixels in the vertical direction of the image; P � |∇v| k− 2 ∇v; and v referred to the basis function of the neuron. Equation (8) was continued to be discretized, and then the following equations could be obtained: In equations (9)-(11), 0 ≤ i ≤ I, 0 ≤ j ≤ J was satisfied. I represented the number of pixels in the horizontal direction of the image; J represented the number of pixels in the vertical direction of the image; and v referred to the basis function of the neuron. en, the equation was discretized under the external discrete phase, using a combination of forward and backward difference methods, the equations of which could be given as follows: In equations (12) and (13), β represented the offset signal, which was the threshold of the neuron. P � |∇v| k− 2 ∇v and 0 ≤ i ≤ I, 0 ≤ j ≤ J were satisfied. I represented the number of pixels in the horizontal direction of the image; J represented the number of pixels in the vertical direction of the image; and v referred to the basis function of the neuron. When the initial boundary value was discretized, the following conditions should be met: In equations (14) and (15), I represented the number of pixels in the horizontal direction of the image; J represented the number of pixels in the vertical direction of the image; v referred to the basis function of the neuron; and g represented the initial noise image.

Statistical Methods.
e IBM SPSS Statistics 20.0 software was adopted for statistical analysis of data. e data conforming to the normal distribution was expressed by the mean ± variance (x ± s), and the MRI measurement values of the three groups of ligaments were compared; if the Scientific Programming calculated data failed to meet the normal distribution, it was expressed by frequency. e examinations of normal position and valgus position MRI and the surgery determination were tested with the Kappa test. P < 0.05 indicated that the difference was statistically significant.

Comparison on Segmentation Performance of ree Algorithms.
e results in Figure 2 illustrated that the performance of the HDENN algorithm was not greatly improved compared with FCNN and FCNN preprocessing in the complete area, and the evaluation index was only improved by 0.01. In the core area, the HDENN was increased by 0.13 compared to FCNN; but the difference was not obvious compared with the FCNN preprocessing. In the enhancement area, the HDENN algorithm showed an obvious improvement over the FCNN algorithm, and the evaluation index was increased by 0.17. e HDENN algorithm showed nonideal evaluation index in the complete area but showed good segmentation performance in the core area and the enhanced area, with prominent evaluation index. erefore, the HDENN algorithm in this study had better segmentation performance.

Comparison on Basic Data of Patients in Two Groups.
ere were 11 males (55%) and 9 females (45%) in the experimental group and 12 males (60%) and 8 females (40%) in the control group.
ere was no visible difference in gender for patients between the two groups (P > 0.05) (as given in Figure 3).
ere was no great difference in age between the two groups of patients (P > 0.05) (as illustrated in Figure 4). Figure 5 shows an image of ATFL with partial break in grade II, and Figure 6 shows an image of CFL with complete break in grade III. Both sagittal and coronal T1WI and T2WI displayed the full length of the ATFL, CFL, and PTFL. Among them, the sagittal view showed a low signal and oval shape. In MRI images, the overall orientation of the three ligaments could be observed, and the tendon sheaths around the ligaments could be accurately observed.

Images of AJI with MRI Examination.
It was a quicker way to find ATFL on the level where PTFL appeared. Because the PTFL was relatively wide and it was not easy to damage and break, ATFL started from the anterior edge of the lateral malleolus and then extended medially and ended at the bone neck. ATFL appeared at the level of the talus neck. Compared with the wide fan shape of PTFL, ATFL was relatively long and slender. In tomographic MRI, ATFL could be found in 3∼4 levels along the lateral malleolus tip to the proximal end. e width of the ATFL was about 7∼11 mm, and the thickness of the MRI layer was 3 mm. If it could not be found due to no scanning, it was suspected to be broken. Because ATFL was 6∼10 mm in thickness, it may be seen on two levels. ATFL and PTFL were basically at right angles to the long axis of the tibia and fibula. When the ankle was scanned in the neutral position, the full length of ATFL and PTFL could be seen on the horizontal plane. CFL and the distal end of the tibial long axis were clamped 16-22°backwards, which indicated that the ankle joint was scanned when the back extension was 20°, and the full length of the CFL could be seen in the sagittal and coronal planes. When the ankle joint was scanned in the neutral position, part of the CFL could be found on the horizontal plane.

Comparison of ree Ligaments in MRI Images.
e ankle MRI images of 20 volunteers were scored, and the total scores of ATFL, CFL, and PTFL were calculated accordingly.   Figure 7 shows that the total score of ATFL in both normal position and valgus position was concentrated in 4 points, accounting for 55 % and 45%, respectively; and the total score of plantar flexion position was concentrated in 3 points. e total score of CFL in normal position and valgus position was concentrated in 2 points and 4 points, respectively; and the total score of plantar flexion position was concentrated on 3 points. e total score of PTFL in both the normal and valgus positions was concentrated on 5 points, accounting for 65% and 60%, respectively (as shown in Figure 8), and the total score of plantar flexion was concentrated in 6 points.

Comparison on Measurement Values of ree Ligaments in MRI.
e ankle ligaments indexes of 20 cases measured by the MRI image were inputted in the IBM SPSS Statistics 20.0 software for analysis. It was found that there was no statistical difference in the average length (14.645 ± 0.576 mm), width (8.552 ± 0.832 mm), and thickness (1.845 ± 0.157 mm) of ATFL (as illustrated in Figure 9) (P > 0.05). ere was no statistical difference in the average length (23.565 ± 1.567 mm), width (5.735 ± 0.456 mm), and thickness (2.167 ± 0.256 mm) of CFL (as illustrated in Figure 10) (P > 0.05). In addition, there was no statistical difference in the average length (19.656 ± 1.462 mm), width (6.456 ± 0.257 mm), and thickness (2.576 ± 0.256 mm) of PTFL (as illustrated in Figure 11) (P > 0.05).

Comparison on Grades Determined by Normal Position MRI, Valgus Position MRI, and Surgery Treatment.
e 20 AJI patients had 56 ligaments in total, including 21 in grade II and 19 in grade III. e patients were tested at the normal and valgus position MRI images, and the results were    Scientific Programming 5 counted and graded. e grade II injury in ATFL patients detected by the normal position MRI (9 cases) and the surgical diagnosis (12 cases) showed considerable difference from each other (Kappa � 0.789, P < 0.05); the grade III ATFL detected with the valgus position MRI (8 cases) was observably different from that detected with the surgical diagnosis (13 cases) (Kappa � 0.834, P < 0.05) (as disclosed in Figure 12). Figure 13 illustrates that grade II of CFL detected by normal position MRI (11 cases) was greatly different from that by the surgical diagnosis (19 cases) (Kappa � 0.856, P < 0.05); grade III of CFL detected by the valgus position MRI and surgical diagnosis were visibly different (Kappa � 0.956, P < 0.05). ere were 2 cases in grade II PTFL and 0 cases in grade III detected by the normal position MRI, valgus position MRI, and surgical diagnosis.

Comparison on Conservative Treatment Effects of
Ligament. 20 patients were treated conservatively, and the patients were followed up for about 10 months on average. During the plaster-assisted recovery period, the patient was instructed to properly perform joint recovery training and not to go to the ground too early. During the recovery period, there was no ankle swelling, no pain, no difference in walking with normal people, and no more ankle sprains during the follow-up process. e AJI status during the follow-up was recorded and analyzed statistically. After conservative treatment of 20 patients with ankle ligament injury, there was no statistically huge difference between grade I and grade II injuries (P > 0.05); the difference between the treatment results of grade I injury and grade III injury was extremely great (P < 0.05). e prognosis of patients with grade II injury (11 cases) was much higher than that of grade III injury (2 cases), and the prognosis (4 cases) was lower than that of grade III injury (6 cases), showing statistically obvious difference (P < 0.05) (as revealed in Figure 14). e analysis of conservative treatment results indicated that the grade I and grade II injuries could achieve better results in contrast to the grade III injuries.

Discussion
In medicine, the ankle joint is also called the ankle calf joint. When people walk and exercise in life, the weight of the body is concentrated on this part. erefore, this part is the largest weight-bearing joint in the human body, which completes the necessary movements of human body through the  extension, plantar flexion, and rotation of the ankle joint [11]. e ankle joint is mainly composed of three parts, the tibia, medial fibula, and lateral talus, which are important pulley joints of the human body. With the continuous development of society, more attention has been paid to medical treatment, and people have a deeper understanding of AJI. Nowadays, clinical pathology, CT, and ultrasound are not enough to fully support a full set of examinations of the ankle joint [12]. e study uses high-potential MRI images to assess the sport-induced AJI, which can effectively make up for the lack of clinical diagnosis at this stage.
Yamauchi et al. [13] took 35 AJI patients as the research subjects for MRI imaging examination of the external ankle ligaments and found that the cross-sectional image was the clearest. e MRI images of the valgus position in this study were also clearer and showed better results. You et al. [14] used multiposition MRI ankle ligament scans and found that, at the injury site, the ligaments were passively elongated with swelling and thickening; the ligaments were not continuous but discontinuous; and some parts were shortened, so that the image presented a mixed signal of high and low, which was consistent with the results of this study. During the scanning process of MRI for lateral ankle ligament injuries, MRI images show different sensitivities for different ligaments, which may increase the clinical missed diagnosis rate and misdiagnosis rate [15]. Clanton et al. [16] adopted different magnetic field strengths and various joint coils to improve the MRI images. Studies have shown that low magnetic field strengths can better assess the ankle ligament injuries. In this study, low magnetic field strength MRI was employed to evaluate the AJI patients. It was found that the images of ATFL and PTFL in the sagittal position were clearer, which was consistent with above study. It was found that there was no statistical difference in the average length (14.645 ± 0.576 mm), width (8.552 ± 0.832 mm), and thickness (1.845 ± 0.157 mm) of ATFL (P > 0.05). ere was no statistical difference in the average length (23.565 ± 1.567 mm), width (5.735 ± 0.456 mm), and thickness (2.167 ± 0.256 mm) of CFL (P > 0.05). In addition, there was no statistical difference in the average length (19.656 ± 1.462 mm), width (6.456 ± 0.257 mm), and thickness (2.576 ± 0.256 mm) of PTFL (P > 0.05).  If there is any AJI, the action should be stopped immediately. If possible, ice compress should be applied immediately. If it is bleeding, it should be bandaged to reduce the amount of bleeding. In clinical practice, protective gear, plaster, and wide tape are often applied for fixation [17]. Based on the physical examination of the patient, the injury is graded and evaluated, and the next treatment plan is reasonably arranged according to the actual injury condition. Under normal circumstances, conservative treatment can be performed when the ankle ligament is partially ruptured. If it is completely ruptured or fractured, surgical treatment is required [18]. Although there is a lot of relevant literature on AJI, a standard treatment that is widely supported by medicine has not yet appeared. In this study, 20 AJI patients were treated conservatively and followed up. e statistical analysis revealed that there was no extremely huge difference between ligament grade I and grade II injuries (P > 0.05); ligament grade I and grade III injuries were much different from each other (P < 0.05). e prognosis of patients with grade II injury (11 cases) was much higher than that of grade III injury (2 cases), and the prognosis (4 cases) was lower than that of grade III injury (6 cases), showing statistical obvious difference (P < 0.05). According to the analysis of conservative treatment results, the effects of conservative treatment for grade I and II injuries were more obvious than those for grade III injury.

Conclusion
e HDE neural network algorithm proposed in this study was compared with FCNN and FCNN preprocessing for effect comparison analysis, and the HDE was applied to the MRI image analysis of sport-induced AJI. It was found that the evaluation index in the complete area was not very ideal, but the segmentation performance of the algorithm in the core area and the enhanced area was very good. e normal position MRI images showed better observation effects on ATFL and PTFL, and valgus position MRI showed better observation effects on the three ligaments; it was an ideal position for patients to perform MRI scans in a natural state; the AJI patients in grade I and grade II could be treated conservatively, but surgical treatment was recommended for patients with grade III injuries. e shortcomings of this study were the shorter time to collect clinical data, fewer medical records of patients, and the high cost of MRI examinations. Due to economic constraints, some patients withdrew from the study due to incomplete imaging data. Later, it will consider expanding the sample range, so as to provide appropriate subsidies in economic aspects to enhance the scientific nature of research. In short, MRI was adopted to evaluate the AJI, which was conductive to further understand the MRI imaging characteristics of the ankle joint, helping the clinician be familiar with the specific morphology of the ankle joint ligaments, performing timely diagnosis and treatment, and improving the prognosis.

Data Availability
No data were used to support this study.

Conflicts of Interest
e authors declare that they have no conflicts of interest.