1.Resveratrol activates extracellular-regulated protein kinase 5 signaling protein to promote proliferation of mouse MC3T3-E1 cells
Yongkang NIU ; Zhiwei FENG ; Yaobin WANG ; Zhongcheng LIU ; Dejian XIANG ; Xiaoyuan LIANG ; Zhi YI ; Hongwei ZHAN ; Bin GENG ; Yayi XIA
Chinese Journal of Tissue Engineering Research 2025;29(5):908-916
BACKGROUND:The extracellular-regulated protein kinase 5(ERK5)signaling protein is essential for the survival of organisms,and resveratrol can promote osteoblast proliferation through various pathways.However,whether resveratrol can regulate osteoblast function through the ERK5 signaling protein needs further verification. OBJECTIVE:To explore the regulatory effect of ERK5 on the proliferation of MC3T3-E1 cells and related secreted proteins,and to further verify whether resveratrol can complete the above process by activating ERK5. METHODS:Mouse MC3T3-E1 preosteoblasts were treated with complete culture medium,XMD8-92(an ERK5 inhibitor),epidermal growth factor(an ERK5 activator),resveratrol alone,XMD8-92+EGF,and resveratrol+XMD8-92,respectively.Western blot assay was used to detect the expression of ERK5 and p-ERK5 proteins,proliferation-related proteins Cyclin D1,CDK4 and PCNA,and osteoblast-secreted proteins osteoprotegerin and receptor activator of nuclear factor-κB ligand in MC3T3-E1 cells of each group.The fluorescence intensity of ERK5,osteoprotegerin and receptor activator of nuclear factor-κB ligand in each group was detected by cell immunofluorescence staining,and cell proliferation was detected by EdU staining,respectively.The appropriate concentration and time of resveratrol intervention in MC3T3-E1 cells were determined by cell morphology observation and cell counting kit-8 assay. RESULTS AND CONCLUSION:The activation of ERK5 signaling protein could effectively promote the proliferation of MC3T3-E1 cells,up-regulate the osteoprotegerin/receptor activator of nuclear factor-κB ligand ratio.The appropriate concentration and time for resveratrol intervention in MC3T3-E1 cells was 5 μmol/L and 24 hours,respectively.Resveratrol could activate ERK5 signaling protein,thereby promoting osteoblast proliferation and up-regulating the osteoprotegerin/RANKL ratio.All these results indicate that resveratrol can promote the proliferation of MC3T3-E1 cells and up-regulate the osteoprotegerin/RANKL ratio by activating the ERK5 signaling protein.
2.Randomized, double-blind, parallel-controlled, multicenter, equivalence clinical trial of Jiuwei Xifeng Granules(Os Draconis replaced by Ostreae Concha) for treating tic disorder in children.
Qiu-Han CAI ; Cheng-Liang ZHONG ; Si-Yuan HU ; Xin-Min LI ; Zhi-Chun XU ; Hui CHEN ; Ying HUA ; Jun-Hong WANG ; Ji-Hong TANG ; Bing-Xiang MA ; Xiu-Xia WANG ; Ai-Zhen WANG ; Meng-Qing WANG ; Wei ZHANG ; Chun WANG ; Yi-Qun TENG ; Yi-Hui SHAN ; Sheng-Xuan GUO
China Journal of Chinese Materia Medica 2025;50(6):1699-1705
Jiuwei Xifeng Granules have become a Chinese patent medicine in the market. Because the formula contains Os Draconis, a top-level protected fossil of ancient organisms, the formula was to be improved by replacing Os Draconis with Ostreae Concha. To evaluate whether the improved formula has the same effectiveness and safety as the original formula, a randomized, double-blind, parallel-controlled, equivalence clinical trial was conducted. This study enrolled 288 tic disorder(TD) of children and assigned them into two groups in 1∶1. The treatment group and control group took the modified formula and original formula, respectively. The treatment lasted for 6 weeks, and follow-up visits were conducted at weeks 2, 4, and 6. The primary efficacy endpoint was the difference in Yale global tic severity scale(YGTSS)-total tic severity(TTS) score from baseline after 6 weeks of treatment. The results showed that after 6 weeks of treatment, the declines in YGTSS-TSS score showed no statistically significant difference between the two groups. The difference in YGTSS-TSS score(treatment group-control group) and the 95%CI of the full analysis set(FAS) were-0.17[-1.42, 1.08] and those of per-protocol set(PPS) were 0.29[-0.97, 1.56], which were within the equivalence boundary [-3, 3]. The equivalence test was therefore concluded. The two groups showed no significant differences in the secondary efficacy endpoints of effective rate for TD, total score and factor scores of YGTSS, clinical global impressions-severity(CGI-S) score, traditional Chinese medicine(TCM) response rate, or symptom disappearance rate, and thus a complete evidence chain with the primary outcome was formed. A total of 6 adverse reactions were reported, including 4(2.82%) cases in the treatment group and 2(1.41%) cases in the control group, which showed no statistically significant difference between the two groups. No serious suspected unexpected adverse reactions were reported, and no laboratory test results indicated serious clinically significant abnormalities. The results support the replacement of Os Draconis by Ostreae Concha in the original formula, and the efficacy and safety of the modified formula are consistent with those of the original formula.
Adolescent
;
Child
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Child, Preschool
;
Female
;
Humans
;
Male
;
Double-Blind Method
;
Drugs, Chinese Herbal/therapeutic use*
;
Tic Disorders/drug therapy*
;
Treatment Outcome
3.Early curative effect of upper capsular reconstruction combined with biceps tendon transposition for the treatment of unrepairable rotator cuff tear by arthroscopy.
Xi-Hao WANG ; Zhi-Tao YANG ; Jun-Wen LIANG ; Bai-Rong ZHANG ; Tao LIU ; Jin JIANG ; Xiang-Dong YUN
China Journal of Orthopaedics and Traumatology 2025;38(3):238-244
OBJECTIVE:
To explore early curative effect of upper joint capsule reconstruction combined with biceps tendon transposition in treating irreparable rotator cuff tears.
METHODS:
From October 2019 to March 2021, 16 patients with irreparable rotator cuff tear were underwent arthroscopic autogenous semitendinosus tendon transplantation for upper articular capsule reconstruction combined with biceps tendon transposition, included 12 males and 4 females, aged from 53 to 72 years old with an average of (62.13±5.35) years old; 3 patients on the left side and 13 patients on the right side. All patients had preoperatively limited joint mobility, resting pain, and mobility pain, and had a history of failure to respond to conservative treatment for more than 8 months. The duration of preoperative symptoms ranged from 45 to 144 months with an average of (85.25±32.08) months. Visual analogue scale (VAS) of shoulder pain, University of California Los Angeles (UCLA) score, Constant-Murley score, active and passive motion of shoulder joint were compared before operation and 2 years after operation, complications were recorded.
RESULTS:
All 16 patients were followed up for 21 to 32 months with an average of (24.25±3.57) months. There were no complications such as incision infection, vascular and nerve injury, retear occurred. VAS, UCLA and Constant-Murley scores were improved from (5.75±1.18), (11.88±3.38) and (33.38±9.34) before operation to (1.13±0.89), (32.56±2.71), (89.06±6.25) at 2 years after operation (P<0.05). Anterior flexion, abduction, lateral external rotation and lateral internal rotation of shoulder joint were improved from (79.75±21.36) °, (62.06±10.49) °, (19.19±5.41) °, (3.04±0.21) °, respectively to (156.94±13.18) °, (116.19±12.59) °, (42.63±6.07) °, (8.16±0.64) ° at 2 years after operation. Anterior flexion, abduction, lateral lateral rotation and lateral internal rotation of shoulder joint were improved from (116.28±21.47) °, (107.12±9.67) °, (27.62±4.70) °, (4.21±0.41) °, respectively to (165.28±7.15) °, (153.34±4.69) °, (52.46±4.46) °, (9.68±0.68) ° at 2 years after operation, and the difference was statistically significant (P<0.05).
CONCLUSION
Arthroscopic autograft of semitendinosus tendon combined with transposition of biceps tendon could achieve satisfactory early clinical results in treating patients with irreparable rotator cuff tear, which is a reliable and effective surgical method.
Humans
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Male
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Female
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Middle Aged
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Aged
;
Arthroscopy/methods*
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Rotator Cuff Injuries/physiopathology*
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Plastic Surgery Procedures/methods*
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Range of Motion, Articular
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Shoulder Joint/surgery*
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Tendon Transfer
4.Experimental study on autologous osteochondral transplantation in the treatment of recurrent anterior dislocation of the shoulder joint with articular cartilage defect in rabbits.
Tao LIU ; Sen FANG ; Fang-Xiang LIU ; Ming-Tao ZHANG ; Zhi-Tao YANG ; Bo-Rong ZHANG ; Jun-Wen LIANG ; Xi-Hao WANG ; Jin JIANG ; Xiang-Dong YUN
China Journal of Orthopaedics and Traumatology 2025;38(6):619-625
OBJECTIVE:
To explore clinical effect of autologous osteochondral transplantation (AOT) in the treatment of recurrent anterior dislocation of the shoulder joint with glenoid cartilage defect in rabbits by establishing a model of recurrent anterior dislocation of the shoulder joint with < 20% glenoid cartilage defect in rabbits.
METHODS:
Twenty-four male New Zealand white rabbits, aged 6-month-old, weighed (2.69±0.17) kg were selected. The labrum of shoulder joint of rabbits was artificially destroyed to establish a model of recurrent anterior dislocation of shoulder joint with cartilage defect. They were divided into AOT surgery group and simple suture group, with 12 rabbits in each group. AOT group were underwent AOT surgery, while simple suture group was treated with simple Bankart suture for recurrent shoulder joint dislocation. At 6 and 12 weeks after operation, 6 rabbits between two groups were sacrificed for sampling. The dietary conditions, activity conditions, mental states of rabbits and healing conditions of grafts in the specimens were observed and compared between two groups. HE staining was used to observe cell creep, cell morphology, inflammatory cell infiltration, fibrochondrocytes and their arrangement. Masson staining was used to observe the formation and arrangement of collagen fibers; Safrane-green staining was used to observe the regeneration of articular cartilage, subchondral bone and bone tissue. Bone mineral density (BMD), bone volume (BV) and trabecular thickness (Tb.Th) between two groups were measured by Micro-CT to evaluate the remodeling of shoulder glenoid bone defects by autologous osteochondral cartilage.
RESULTS:
After different surgical interventions were carried out in both groups of rabbits, at 6 weeks after the operation, the abduction, extension, internal rotation and external rotation of the shoulder joint on the operated side showed limited range of motion compared with the contralateral side, while adduction and forward flexion showed no obvious abnormalities compared with the contralateral side. At 12 weeks after operation, the range motion of tshoulder joints in both groups of rabbits had returned to the state before modeling. The effects of HE staining, Masson staining and safrane-green staining at 12 weeks after operation in both groups were stronger than the staining results at 6 weeks after operation. Moreover, the results of HE staining, Masson staining and safranin fixation green staining in AOT group at 6 and 12 weeks after operation were all higher than those in simple suture group. Micro-CT scan results at 6 and 12 weeks after operation showed that BMD (0.427±0.014), (0.466±0.032) g·cm-3, BV(116.171±3.527), (159.327±3.500) mm3, and Tb.Th (0.230±0.006), (0.285±0.009) mm in AOT group, which were higher than those of simple suture group in BMD(0.358±0.011), (0.384±0.096) g·cm-3, BV(72.657±3.903), (118.713±3.860) mm3, and Tb.Th(0.204±0.009), (0.243±0.007) mm;and the differences were statistically significant (P<0.05).
CONCLUSION
AOT procedure could effectively promote osteogenesis and fibrocartilage regeneration in the cartilage defect area of the shoulder glenoid <20%, which is conducive to reshaping the structure of the shoulder glenoid.
Animals
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Rabbits
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Male
;
Transplantation, Autologous
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Cartilage, Articular/injuries*
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Shoulder Dislocation/physiopathology*
;
Bone Transplantation
;
Shoulder Joint/surgery*
5.Caveolin-1 mediated fluid shear stress regulates proliferation and apoptosis of MC3T3-E1 osteoblasts
Zhi YI ; Hongwei ZHAN ; Yaobin WANG ; Xiaoyuan LIANG ; Yongkang NIU ; Dejian XIANG ; Bin GENG ; Yayi XIA
Chinese Journal of Tissue Engineering Research 2024;28(34):5440-5445
BACKGROUND:Fluid shear stress plays an important role in osteoblast proliferation and apoptosis.However,whether Caveolin-1 is involved in the process of fluid shear stress-induced proliferation and apoptosis in osteoblasts is unknown. OBJECTIVE:To explore the role of Caveolin-1 in fluid shear stress-regulated osteoblast proliferation and apoptosis. METHODS:The MC3T3-E1 osteoblasts in good growth status were selected and loaded with fluid shear stress at an intensity of 1.2 Pa for different times(0,30,60,90 minutes).The expression of Caveolin-1 protein was observed and conditions with a time of 60 minutes were screened for the experiment.MC3T3-E1 cells were divided into control group,fluid shear stress group,fluid shear stress+pcDNA 3.1 group(control),fluid shear stress+pcDNA Cav-1 group(plasmid overexpression),and intervened with fluid shear stress and overexpression of Cav-1,respectively.The expression of molecules related to proliferation and apoptosis in MC3T3-E1 cells was detected by qRT-PCR and western blot.In addition,the proliferative activity of MC3T3-E1 cells was detected by cell counting kit-8 and EdU assay;and cell apoptosis was detected by Hoechst 33258 and flow cytometry. RESULTS AND CONCLUSION:The expression of Caveolin-1 in MC3T3-E1 cells was significantly down-regulated after loading fluid shear stress,and the expression level was lowest after 60 minutes.Overexpression of Caveolin-1 attenuated the proliferation-promoting and apoptosis-suppressing effects of fluid shear stress in MC3T3-E1 cells.In conclusion,Caveolin-1 has a vital role in fluid shear stress-regulated osteoblast proliferation and apoptosis,which may offer a potential therapeutic strategy for osteoporosis.
6.Effects of chidamide combined with PD-1 inhibitor on anti-tumor function of CD8+ T cells in mouse model of colorectal cancer
Liang DONG ; Xiang LI ; Zhi-Tao GAO ; Hui-Jie JIA ; Tie-Suo ZHAO
Medical Journal of Chinese People's Liberation Army 2024;49(1):99-107
Objective To investigate the efficacy of histone deacetylase(HDAC)inhibitor chidamide combined with the PD-1 inhibitor on CD8+ T cells anti-cancer function in OVA-expressing MC38(MC38-OVA)colorectal-bearing mice.Methods Animal experiments:C57BL/6 tumor models were constructed by subcutaneously injecting MC38-OVA colorectal cancer cells into the back of mice.We randomized mice into control group,chidamide group,anti-PD-1 group and chidamide+anti-PD-1 group(20 each group).We monitored the tumor growth and animal survival rate of each group;we employed a flow-based method to detect the number and ratio of tumor-infiltrating CD8+ T cells,CD8+IFN-γ+ T cells,OVA antigen-specific CD8+ T cells,and the expression changes of regulatory T cells(Treg),myeloid-derived suppressor cells(MDSC),and tumor-associated macrophages(TAM).Cell experiments:We used a flow-based method to detect the apoptosis of CD8+ T cells and MC38-OVA tumor cells after 0,10,25,50,100,or 200 nmol/L chidamide treatment.The proliferation of CD8+ T cells and MC38-OVA tumor cells treated with 0 and 100 nmol/L chidamide was detected by Ki-67 antibody labeling and cell counting.To evaluate CD8+ T cell killing ability,we treated CD8+ T cells with various conditions(control group,chidamide group,anti-PD-1 group and chidamide+anti-PD-1 group)followed by co-culture with MC38-OVA tumor cells,using the flow-based method.In the condition that CD8+ T cells treated with 0 and 100 nmol/L chidamide co-cultured with the same number of MC38-OVA tumor cells,the expression of CD107a was detected by flow cytometry.Results Compared with control group,the tumor growth was inhibited(P<0.05)while the survival rate was improved(P<0.01)in chidamide+anti-PD-1 group.The number of tumor-infiltrating CD8+ T cells was significantly higher in chidamide group,anti-PD-1 group and chidamide+anti-PD-1 group than that in control group(P<0.05).Nonetheless,the ratio and levels of CD8+IFN-γ+ and OVA antigen-specific CD8+ T cells were significantly higher in chidamide+anti-PD-1 group than those in other groups(P<0.05).The in vitro experiment results showed that chidamide could enhance the killing ability of CD8+ T cells and the expression of CD107a.Conclusion Chidamide combined with PD-1 inhibitor significantly enhanced the number and function of tumor-infiltrating CD8+ T cells and increased antigen-specific CD8+ T cells,which will provide a theoretical and experimental basis for the combination of chidamide in clinical solid tumor immunotherapy.
7.Preliminary study on pulmonary lobectomy by uniportal video-assisted thoracoscope in parallel position
Zhen-Yang LIN ; Song-Tao XU ; Xu-Guang PANG ; Chao-Xiang DU ; Zhi-Liang HUANG
Fudan University Journal of Medical Sciences 2024;51(6):977-980,996
Objective To summarize the clinical experience of pulmonary lobectomy by uniportal video-assisted thoracoscope in parallel position.Methods The clinical data of 90 patients who underwent uniportal video-assisted thoracoscopic lobectomy in Zhongshan Hospital(Xiamen Branch),Fudan University were retrospectively analyzed.Among them,41 patients underwent lobectomy by uniportal thoracoscope in parallel position,and 49 patients underwent lobectomy by uniportal thoracoscope in non-parallel position.The perioperative related indicators of the two groups were compared.Results There was no significant statistical difference between the parallel uniportal thoracoscopic group and the non-parallel uniportal thoracoscopic group in terms of operation time[(135.2±18.1)min vs.(132.7±25.6)min],intraoperative blood loss[(100.1±27.2)mL vs.(117.3±33.5)mL],postperative extubation time[(3.0±0.7)d vs.(3.1±0.9)d],hospitalization time after operation[(4.3±1.3)d vs.(4.8±1.5)d]and relapse rate after surgery in 3 year(7.32%vs.10.20%).Conclusion Lobectomy by uniportal thoracoscope in parallel position was safe and feasible in technique.
8.Augmented reality navigation assisted design of chimeric twin-paddled anterolateral thigh perforator flap in reconstruction of soft tissue defects in extremities: a report of 8 cases
Xiang LUO ; Keqin YANG ; Ping'ou WEI ; Yongjun MO ; Xuquan LIANG ; Lin XU ; Ningxi ZHI ; Xiao TAN
Chinese Journal of Microsurgery 2024;47(1):28-33
Objective:To investigate the feasibility and clinical effects of the application of augmented reality (AR) navigation on assisted design of the chimeric twin-paddled anterolateral thigh perforator flap (ALTPF) in reconstruction of soft tissue defects in extremities.Methods:From June 2017 to June 2023, 8 patients with soft tissue defects in extremities received reconstruction of chimeric twin-paddled ALTPF designed with the assistance of AR navigation in Department of Hand & Foot Microsurgery Orthopaedics, Guigang City People’s Hospital. All of them were traffic accidents or machine injuries, with 3 cases of calf, 2 cases of ankle, 1 case of foot, and 2 cases of hand defects. All the wounds were wide or irregular (defect sized 14 cm×14 cm-25 cm×13 cm). The images of bilateral thighs were acquired by CT angiography preoperatively. The dominant side and dominant perforators were selected. Three dimensional reconstruction was performed by Mimics software. AR technology was applied to guide the design and harvest of the chimeric twin-paddled ALTPF. Flap area was 15 cm × 16 cm to 26 cm × 14 cm. The donor site was sutured directly. Follow-up with outpatient visits or WeChat images and videos at 1, 3, 6 and 12 months postoperatively to record the appearance, colour, texture, recurrence of infection, and knee extension function of the flap donor site.Results:According to the preoperative design, the perforator flaps were harvested and transferred in all the 8 patients. All flaps survived and the recipient and donor sites healed in one stage. All patients entered postoperative follow-up for 3 to 12 (mean, 8.6)months. The colour and texture of the flaps were excellent, and the appearance of donor and recipient sites was satisfactory. Two patients with hand injuries were evaluated using the brief Michigan Hand Outcomes Questionnaire (MHQ), with scores of 43.74 and 81.25, respectively. Six patients with lower limb injuries were evaluated using the Maryland foot score, with scores of 2 excellent, 3 good and 1 fair.Conclusion:The application of AR navigation can effectively assist the design of a chimeric twin-paddled ALTPF. It also provides an effective basis for clinical personalised flap design.
9.Correlation between Combined Urinary Metal Exposure and Grip Strength under Three Statistical Models: A Cross-sectional Study in Rural Guangxi
Jian Yu LIANG ; Hui Jia RONG ; Xiu Xue WANG ; Sheng Jian CAI ; Dong Li QIN ; Mei Qiu LIU ; Xu TANG ; Ting Xiao MO ; Fei Yan WEI ; Xia Yin LIN ; Xiang Shen HUANG ; Yu Ting LUO ; Yu Ruo GOU ; Jing Jie CAO ; Wu Chu HUANG ; Fu Yu LU ; Jian QIN ; Yong Zhi ZHANG
Biomedical and Environmental Sciences 2024;37(1):3-18
Objective This study aimed to investigate the potential relationship between urinary metals copper (Cu), arsenic (As), strontium (Sr), barium (Ba), iron (Fe), lead (Pb) and manganese (Mn) and grip strength. Methods We used linear regression models, quantile g-computation and Bayesian kernel machine regression (BKMR) to assess the relationship between metals and grip strength.Results In the multimetal linear regression, Cu (β=-2.119), As (β=-1.318), Sr (β=-2.480), Ba (β=0.781), Fe (β= 1.130) and Mn (β=-0.404) were significantly correlated with grip strength (P < 0.05). The results of the quantile g-computation showed that the risk of occurrence of grip strength reduction was -1.007 (95% confidence interval:-1.362, -0.652; P < 0.001) when each quartile of the mixture of the seven metals was increased. Bayesian kernel function regression model analysis showed that mixtures of the seven metals had a negative overall effect on grip strength, with Cu, As and Sr being negatively associated with grip strength levels. In the total population, potential interactions were observed between As and Mn and between Cu and Mn (Pinteractions of 0.003 and 0.018, respectively).Conclusion In summary, this study suggests that combined exposure to metal mixtures is negatively associated with grip strength. Cu, Sr and As were negatively correlated with grip strength levels, and there were potential interactions between As and Mn and between Cu and Mn.
10.Prediction of Wind Turbine Lubricating Oil's Acid Value by Ordinary Least Square Method Based on Attenuated Total Reflectance-Fourier Transform Infrared Spectroscopy Through Higher-Order Derivative Combined with Angular Metric
Chun-Hui GE ; Yan-Jun LIU ; Meng-Shi CHEN ; Ce YANG ; Pei-Pei LIANG ; Zhi-Xiang YAO ; Kai ZHANG
Chinese Journal of Analytical Chemistry 2024;52(9):1254-1265,中插1-中插4
To address the key challenges in multivariate statistical modeling,a higher-order derivative approach combined with vector space angle multiplicative error correction was proposed for establishing an acid value prediction ordinary least squares(OLS)regression model based on attenuated total reflectance-Fourier transform infrared(ATR-FTIR)spectroscopy.By using acid values measured by potentiometric titration as reference,ATR-FTIR spectroscopy was utilized for direct calibration and prediction of acid values on 96 kinds of lubricating oil samples from a wind turbine.Firstly,the simulated hyperbolic(SH)method was employed to obtain accurate fourth derivative spectrum,resolving overlapping bands and enhancing spectral selectivity.Then,from the calibration set(48 samples),informative spectral regions were identified based on correlation coefficients.Next,the sample with the highest acid value was selected as the reference and1/(1+tan(θ/2))was used as the metric relation of the spectrum to suppress the multiplicity error caused by factors such as the change of effective optical path in ATR-FTIR spectroscopy.After pretreatment of the spectrum by the method of fourth-order derivative combined with angular quantity,the number of variables decreased from 1737 to 8,and the matrix condition number decreased from 1.85×1015 to 56.34,which effectively eliminated the collinearity issue for OLS regression.Direct OLS modeling on spectral preprocessed data achieved a determination coefficient of 0.981 for 47 validation samples,with a relative error range of-8.38%-8.22%,outperforming the commonly used partial least squares(PLS)method(Determination coefficient of 0.865,relative error of-27.82%-22.38%).It was proved that effective data preprocessing significantly improved the prediction accuracy of the model.Furthermore,when the number of calibration set was compressed to 25 and the number of validation set was expanded to 70,the model retained 8 variables with a condition number of 42.60,the determination coefficient of validation set was 0.972,and the relative error ranged from-10.80%to 12.31%.Comparing with the PLS method(Determination coefficient of 0.724,relative error of-34.26%-53.84%),the improvement was more obvious,which showed that the method could still have high prediction accuracy even with fewer modeling samples as well as robustness against multiplicative error interference.

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