1.Finite element modeling and simulation study of solid-liquid biphase fiber-reinforced lumbar intervertebral disc.
Yongchang GAO ; Yantao FU ; Qingfeng CUI ; Shibin CHEN ; Peng LIU ; Xifang LIU
Journal of Biomedical Engineering 2025;42(4):799-807
The lumbar intervertebral disc exhibits a complex physiological structure with interactions between various segments, and its components are extremely complex. The material properties of different components in the lumbar intervertebral disc, especially the water content (undergoing dynamic change as influenced by age, degeneration, mechanical loading, and proteoglycan content) - critically determine its mechanical properties. When the lumbar intervertebral disc is under continuous pressure, water seeps out, and after the pressure is removed, water re-infiltrates. This dynamic fluid exchange process directly affects the mechanical properties of the lumbar intervertebral disc, while previous isotropic modeling methods have been unable to accurately reflect such solid-liquid phase behaviors. To explore the load-bearing mechanism of the lumbar intervertebral disc and establish a more realistic mechanical model of the lumbar intervertebral disc, this study developed a solid-liquid biphasic, fiber-reinforced finite element model. This model was used to simulate the four movements of the human lumbar spine in daily life, namely flexion, extension, axial rotation, and lateral bending. The fluid pressure, effective solid stress, and liquid pressure-bearing ratio of the annulus fibrosus and nucleus pulposus of different lumbar intervertebral discs were compared and analyzed under the movements. Under all the movements, the fluid pressure distribution was closer to the nucleus pulposus, while the effective solid stress distribution was more concentrated in the outer annulus fibrosus. In terms of fluid pressure, the maximum fluid pressure of the lumbar intervertebral disc during lateral bending was 1.95 MPa, significantly higher than the maximum fluid pressure under other movements. Meanwhile, the maximum effective solid stress of the lumbar intervertebral disc during flexion was 2.43 MPa, markedly higher than the maximum effective solid stress under other movements. Overall, the liquid pressure-bearing ratio under axial rotation was smaller than that under other movements. Based on the solid-liquid biphasic modeling method, this study more accurately revealed the dominant role of the liquid phase in the daily load-bearing process of the lumbar intervertebral disc and the solid-phase mechanical mechanism of the annulus fibrosus load-bearing, and more effectively predicted the solid-liquid phase co-load-bearing mechanism of the lumbar intervertebral disc in daily life.
Humans
;
Finite Element Analysis
;
Intervertebral Disc/physiology*
;
Lumbar Vertebrae/physiology*
;
Weight-Bearing/physiology*
;
Biomechanical Phenomena
;
Stress, Mechanical
;
Computer Simulation
;
Models, Biological
2.Finite element analysis of impact of bone mass and volume in low-density zone beneath tibial plateau on cartilage and meniscus in knee joint.
Longfei HAN ; Wenyuan HOU ; Shun LU ; Zijun ZENG ; Kun LIN ; Mingli HAN ; Guifeng LUO ; Long TIAN ; Fan YANG ; Mincong HE ; Qiushi WEI
Chinese Journal of Reparative and Reconstructive Surgery 2025;39(3):296-306
OBJECTIVE:
To investigate the impact of bone mass and volume of low-density zones beneath the tibial plateau on the maximum von Mises stresses experienced by the cartilage and meniscus in the knee joint.
METHODS:
The study included one healthy adult volunteer, from whom CT scans were obtained, and one patient diagnosed with knee osteoarthrisis (KOA), for whom X-ray films were acquired. A static model of the knee joint featuring a low-density zone was established based on a normal knee model. In the finite element analysis, axial loads of 1 000 N and 1 800 N were applied to the weight-bearing region of the upper surface of the femoral head for model validation and subsequent finite element studies, respectively. The maximum von Mises stresses in the femoral cartilage, as well as the medial and lateral tibial cartilage and menisci, were observed, and the stress percentage of the medial and lateral components were concurrently analyzed. Additionally, HE staining, as well as alkaline magenta staining, were performed on the pathological specimens of patients with KOA in various low-density regions.
RESULTS:
The results of model validation indicated that the model was consistent with normal anatomical structures and correlated with previous calculations documented in the literature. Static analysis revealed that the maximum von Mises stress in the medial component of the normal knee was the lowest and increased with the advancement of the hypointensity zone. In contrast, the lateral component exhibited an opposing trend, with the maximum von Mises stress in the lateral component being the highest and decreasing as the hypointensity zone progressed. Additionally, the medial component experienced an increasing proportion of stress within the overall knee joint. HE staining demonstrated that the chondrocyte layer progressively deteriorated and may even disappear as the hypointensity zone expanded. Furthermore, alkaline magenta staining indicated that the severity of microfractures in the trabecular bone increased concurrently with the expansion of the hypointensity zone.
CONCLUSION
The presence of subtalar plateau low-density zone may aggravate joint degeneration. In clinical practice, it is necessary to pay attention to the changes in the subtalar plateau low-density zone and actively take effective measures to strengthen the bone status of the subtalar plateau low-density zone and restore the complete biomechanical function of the knee joint, in order to slow down or reverse the progression of osteoarthritis.
Humans
;
Finite Element Analysis
;
Knee Joint/physiology*
;
Tibia/anatomy & histology*
;
Cartilage, Articular/physiology*
;
Menisci, Tibial/physiopathology*
;
Tomography, X-Ray Computed
;
Osteoarthritis, Knee/diagnostic imaging*
;
Weight-Bearing
;
Bone Density
;
Adult
;
Stress, Mechanical
;
Male
;
Middle Aged
;
Biomechanical Phenomena
;
Female
3.Difference of compensatory mechanisms in bilateral knee osteoarthritis patients of varying severity.
Bo HU ; Junqing WANG ; Hui ZHANG ; Tao DENG ; Yong NIE ; Kang LI
Chinese Journal of Reparative and Reconstructive Surgery 2025;39(7):861-868
OBJECTIVE:
To investigate the load distribution on the more painful and less painful limbs in patients with mild-to-moderate and severe bilateral knee osteoarthritis (KOA) and explore the compensatory mechanisms in both limbs among bilateral KOA patients with different severity levels.
METHODS:
A total of 113 participants were enrolled between July 2022 and September 2023. This cohort comprised 43 patients with mild-to-moderate bilateral KOA (Kellgren-Lawrence grade 2-3), 43 patients with severe bilateral KOA (Kellgren-Lawrence grade 4), and 27 healthy volunteers (healthy control group). The visual analogue scale (VAS) score for pain, the Hospital for Special Surgery (HSS) score, passive knee range of motion (ROM), and hip-knee-ankle angle (HKA) were used to assess walking pain intensity, joint function, and lower limb alignment in KOA patients, respectively. Motion trajectories of reflective markers and ground reaction force data during walking were captured using a gait analysis system. Musculoskeletal modeling was then employed to calculate biomechanical parameters, including the peak knee adduction moment (KAM), KAM impulse, peak joint contact force (JCF), and peak medial/lateral contact forces (MCF/LCF). Statistical analyses were performed to compare differences in clinical and gait parameters between bilateral limbs. Additionally, one-dimensional statistical parametric mapping was utilized to analyze temporal gait data.
RESULTS:
Mild-to-moderate KOA patients showed the significantly higher HSS score (67.7±7.9) than severe KOA patients (51.9±8.9; t=8.747, P<0.001). The more painful limb in all KOA patients exhibited significantly greater HKA and higher VAS scores compared to the less painful limb ( P<0.05). While bilateral knee ROM did not differ significantly in mild-to-moderate KOA patients ( P>0.05), the severe KOA patients had significantly reduced ROM in the more painful limb versus the less painful limb ( P<0.05). Healthy controls showed no significant bilateral difference in any biomechanical parameters ( P>0.05). All KOA patients demonstrated longer stance time on the less painful limb ( P<0.05). Critically, severe KOA patients exhibited significantly higher peak KAM, KAM impulse, and peak MCF in the more painful limb ( P<0.05), while mild-to-moderate KOA patients showed the opposite pattern with lower peak KAM and KAM impulse in the more painful limb ( P<0.05) and a similar trend for peak MCF.
CONCLUSION
Patients with mild-to-moderate KOA effectively reduce load on the more painful limb through compensatory mechanisms in the less painful limb. Conversely, severe bilateral varus deformities in advanced KOA patients nullify compensatory capacity in the less painful limb, paradoxically increasing load on the more painful limb. This dichotomy necessitates personalized management strategies tailored to disease severity.
Humans
;
Osteoarthritis, Knee/physiopathology*
;
Range of Motion, Articular
;
Male
;
Female
;
Middle Aged
;
Biomechanical Phenomena
;
Knee Joint/physiopathology*
;
Pain Measurement
;
Severity of Illness Index
;
Aged
;
Gait/physiology*
;
Walking/physiology*
;
Case-Control Studies
;
Adult
;
Weight-Bearing
4.Biomechanical study of knee joint based on coronal plane alignment of the knee.
Yunxin WANG ; Ping XU ; Ning LU ; Wenjin LI ; Shisen XU
Chinese Journal of Reparative and Reconstructive Surgery 2024;38(12):1466-1473
OBJECTIVE:
To establish a finite element model of the knee joint based on coronal plane alignment of the knee (CPAK) typing method, and analyze the biomechanical characteristics of different types of knee joints.
METHODS:
The finite element models of the knee joint were established based on CT scan data of 6 healthy volunteers. There were 5 males and 1 female with an average age of 24.2 years (range, 23-25 years). There were 3 left knees and 3 right knees. According to the CPAK typing method, the knees were rated as types Ⅰ to Ⅵ. Under the same material properties, boundary conditions, and axial loading, biomechanical simulations were performed on the finite element model of the knee joint. Based on the Von Mises stress nephogram and displacement nephogram, the peak stresses of the meniscus, femoral cartilage, and tibial cartilage, and the displacement of the meniscus were compared among different types of knee joints.
RESULTS:
The constructed finite element model of the knee joint was verified to be effective, and the stress and displacement results were consistent with previous literature. Under the axial load of 1 000 N, the stress nephogram showed that the stress distribution of the medial and lateral meniscus and tibial cartilage of CPAK type Ⅲ knee joint was the most uneven. The peak stresses of the lateral meniscus and tibial cartilage were 9.969 6 MPa and 2.602 7 MPa, which were 173% and 165% of the medial side, respectively. The difference of peak stress between the medial and lateral femoral cartilage was the largest in type Ⅳ knee joint, and the medial was 221% of the lateral. The displacement nephogram showed that the displacement of the medial meniscus was greater than that of the lateral meniscus except for types Ⅲ and Ⅵ knee joints. The difference between medial and lateral meniscus displacement of type Ⅲ knee joint was the largest, the lateral was 170% of the medial.
CONCLUSION
In the same type of joint line obliquity (JLO), the medial and lateral stress distribution of the knee was more uniform in varus and neutral positions than in valgus position. At the same time, the distal vertex of JLO subgroup can help to reduce the uneven medial and lateral stress distribution of varus knee, but increase the uneven distribution of valgus knee.
Humans
;
Finite Element Analysis
;
Knee Joint/diagnostic imaging*
;
Female
;
Biomechanical Phenomena
;
Adult
;
Male
;
Young Adult
;
Stress, Mechanical
;
Weight-Bearing/physiology*
;
Computer Simulation
;
Tomography, X-Ray Computed/methods*
;
Cartilage, Articular/physiology*
;
Range of Motion, Articular
;
Menisci, Tibial/anatomy & histology*
;
Tibia/anatomy & histology*
;
Meniscus/diagnostic imaging*
;
Femur/diagnostic imaging*
;
Models, Biological
5.Design and validation of a novel knee biomechanical test method.
Junrui WANG ; Zhiping ZHAO ; Chengteng JIANG ; Chuang NIE ; Quanxing SHI ; Meng LIU ; Jianwen GU
Journal of Biomedical Engineering 2023;40(6):1185-1191
A novel structural dynamics test method and device were designed to test the biomechanical effects of dynamic axial loading on knee cartilage and meniscus. Firstly, the maximum acceleration signal-to-noise ratio of the experimental device was calculated by applying axial dynamic load to the experimental device under unloaded condition with different force hammers. Then the experimental samples were divided into non-specimen group (no specimen loaded), sham specimen group (loaded with polypropylene samples) and bovine knee joint specimen group (loaded with bovine knee joint samples) for testing. The test results show that the experimental device and method can provide stable axial dynamic load, and the experimental results have good repeatability. The final results confirm that the dynamic characteristics of experimental samples can be distinguished effectively by this device. The experimental method proposed in this study provides a new way to further study the biomechanical mechanism of knee joint structural response under axial dynamic load.
Animals
;
Cattle
;
Biomechanical Phenomena
;
Knee Joint/physiology*
;
Meniscus
;
Mechanical Phenomena
;
Weight-Bearing
6.Experiments study on mechanical behavior of porcine lumbar intervertebral disc after nucleotomy under compression.
Songfeng ZHU ; Xiuping YANG ; Yichao LUAN ; Qing LIU ; Chunqiu ZHANG
Journal of Biomedical Engineering 2019;36(4):590-595
In order to study the mechanical behavior of degeneration and nucleotomy of lumbar intervertebral disc, compression experiments with porcine lumbar intervertebral discs were carried out. The lumbar intervertebral discs with trypsin-treated and nucleus nucleotomy served as the experimental group and the normal discs as the control group. Considering the effects of load magnitude and loading rate, the relationship between stress and strain, instantaneous elastic modulus and creep property of intervertebral disc were obtained. The creep constitutive model was established. The results show that the strain and creep strain of the experimental group increase significantly with the increase of compression load and loading rate, whereas the instantaneous elastic modulus decreases obviously, compared with the control group. It indicates that the effect of load magnitude and loading rate on load-bearing capacity of intervertebral disc after nucleotomy is larger obviously than that of normal disc. The creep behavior of the experimental group can be still predicted by the Kelvin three-parameter solid model. The results will provide theoretical foundation for clinical treatment and postoperative rehabilitation of intervertebral disc disease.
Animals
;
Biomechanical Phenomena
;
Intervertebral Disc
;
physiology
;
surgery
;
Lumbar Vertebrae
;
Stress, Mechanical
;
Swine
;
Weight-Bearing
7.Botulinum Toxin Type A Injection for Spastic Equinovarus Foot in Children with Spastic Cerebral Palsy: Effects on Gait and Foot Pressure Distribution.
Ja Young CHOI ; Soojin JUNG ; Dong Wook RHA ; Eun Sook PARK
Yonsei Medical Journal 2016;57(2):496-504
PURPOSE: To investigate the effect of intramuscular Botulinum toxin type A (BoNT-A) injection on gait and dynamic foot pressure distribution in children with spastic cerebral palsy (CP) with dynamic equinovarus foot. MATERIALS AND METHODS: Twenty-five legs of 25 children with CP were investigated in this study. BoNT-A was injected into the gastrocnemius (GCM) and tibialis posterior (TP) muscles under the guidance of ultrasonography. The effects of the toxin were clinically assessed using the modified Ashworth scale (MAS) and modified Tardieu scale (MTS), and a computerized gait analysis and dynamic foot pressure measurements using the F-scan system were also performed before injection and at 1 and 4 months after injection. RESULTS: Spasticity of the ankle plantar-flexor in both the MAS and MTS was significantly reduced at both 1 and 4 months after injection. On dynamic foot pressure measurements, the center of pressure index and coronal index, which represent the asymmetrical weight-bearing of the medial and lateral columns of the foot, significantly improved at both 1 and 4 months after injection. The dynamic foot pressure index, total contact area, contact length and hind foot contact width all increased at 1 month after injection, suggesting better heel contact. Ankle kinematic data were significantly improved at both 1 and 4 months after injection, and ankle power generation was significantly increased at 4 months after injection compared to baseline data. CONCLUSION: Using a computerized gait analysis and foot scan, this study revealed significant benefits of BoNT-A injection into the GCM and TP muscles for dynamic equinovarus foot in children with spastic CP.
Adolescent
;
Ankle Joint
;
Botulinum Toxins, Type A/administration & dosage/*pharmacology
;
Cerebral Palsy/*complications/drug therapy
;
Child
;
Child, Preschool
;
Clubfoot/*drug therapy/*etiology/physiopathology
;
Female
;
Foot
;
Gait/*drug effects/physiology
;
Humans
;
Injections, Intramuscular
;
Male
;
Muscle Spasticity/drug therapy
;
Muscle, Skeletal/diagnostic imaging
;
Neuromuscular Agents/administration & dosage/*pharmacology
;
Pressure
;
Prospective Studies
;
Treatment Outcome
;
Weight-Bearing
9.Effect of different backpack loads on physiological parame ters in walking.
Meiya ZHAO ; Shan TIAN ; Qiaohong TANG ; Yikun NI ; Lizhen WANG ; Yubo FAN
Journal of Biomedical Engineering 2014;31(5):978-983
This study investigated the effect of prolonged walking with load carriage on body posture, muscle fatigue, heart rate and blood pressure of the tested subjects. Ten healthy volunteers performed 30 min walking trials on treadmill (speed = 1.1 m/s) with different backpack loads [0% body weight (BW), 10% BW, 15% BW and 20% BW]. The change of body posture, muscle fatigue, heart rate and blood pressure before and after walking and the recovery of muscle fatigue during the rest time (0, 5, 10 and 15 min) were collected using the Bortec AMT-8 and the NDI Optotrak Certus. Results showed that the forward trunk and head angle, muscle fatigue, heart rate and blood pressure increased with the increasing backpack loads and bearing time. With the 20% BW load, the forward angle, muscle fatigue and systolic pressure were significantly higher than with lighter weights. No significantly increased heart rate and diastolic pressure were found. Decreased muscle fatigue was found after removing the backpack in each load trial. But the recovery of the person with 20% BW load was slower than that of 0% BW, 10% BW and 15% BW. These findings indicated that the upper limit of backpack loads for college-aged students should be between 15% BW and 20% BW according to muscle fatigue and forward angle. It is suggested that backpack loads should be restricted to no more than 15% BW for walks of up to 30 min duration to avoid irreversible muscle fatigue.
Blood Pressure
;
Body Weight
;
Exercise Test
;
Healthy Volunteers
;
Heart Rate
;
Humans
;
Muscle Fatigue
;
Posture
;
Walking
;
physiology
;
Weight-Bearing
10.Clinical outcomes of early weight-bearing after arthroscopic microfracture during the treatment of osteochondral lesions of the talus.
Shuyuan LI ; Hongliang LI ; Yujie LIU ; Feng QU ; Junliang WANG ; Chang LIU
Chinese Medical Journal 2014;127(13):2470-2474
BACKGROUNDThe time until weight-bearing after arthroscopic microfracture when treating osteochondral lesions of the talus (OLT) is very important to the clinical outcomes of the operation. However, there have been no consistent opinions regarding the optimal time to start weight-bearing postoperatively. Many opinions advocate that weight-bearing should begin not earlier than the sixth or eighth week postoperatively, whereas others point out that earlier weight-bearing could also obtain satisfactory outcomes. The purpose of our study was to evaluate the clinical outcomes of early weight-bearing after arthroscopic microfracture during the treatment of OLT.
METHODSFifty-eight ankles in 58 patients with a single OLT <2 cm(2) were retrospectively studied. All lesions were treated with arthroscopic debridement and microfracture under local anesthesia. After the operation, the patients were allowed to bear full weight under the protection of figure-8-shaped splints. The visual analog scale (VAS) for pain and the American Orthopaedic Foot and Ankle Society (AOFAS) ankle--hindfoot scale were evaluated preoperatively and at six postoperative timepoints (1st day, 1st month, 3rd month, 6th month, 12th month, and 24th month). Patients were followed up for 24-52 months (mean (34.97 ± 7.33) months).
RESULTSAll 58 patients achieved excellent recovery with significant relief of their symptoms. The VAS score decreased from 7.31 ± 1.0 preoperatively to 0.95 ± 0.76 at the 24th month follow-up (P = 0.000), whereas the AOFAS score improved from 53.53 ± 8.57 preoperatively to 87.62 ± 5.42 at the 24th month follow-up (P = 0.000).
CONCLUSIONThe successful clinical outcomes of this study demonstrated that early weight-bearing after the treatment of OLT with arthroscopic microfracture can be allowed.
Adolescent ; Adult ; Arthroscopy ; Female ; Fractures, Bone ; Humans ; Male ; Middle Aged ; Retrospective Studies ; Talus ; injuries ; surgery ; Weight-Bearing ; physiology ; Young Adult

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