1.Analysis of learning curve of TiRobot-assisted lumbar pedicle screw fixation based on the cumulative sum test
Yuquan LIU ; Xiang LI ; Qi FEI ; Kuo CHEN ; Weiyang ZUO ; Bin ZHU ; Guoqiang ZHANG ; Lingjia YU ; Xuehu XIE ; Ning LIU ; Haining TAN ; Hai MENG ; Tianqi FAN ; Yong YANG
Chinese Journal of Postgraduates of Medicine 2025;48(1):10-17
Objective:To analyze the learning curve of TiRobot-assisted lumbar pedicle screw fixation (LPSF) by cumulative sum (CUSUM) test method.Methods:The clinical data of 50 patients who underwent TiRobot-assisted LPSF from January 2020 to December 2022 in Beijing Friendship Hospital, Capital Medical University were retrospectively analyzed. CUSUM analysis and learning curve fitting were performed with robot usage time as the main indicator with the time for each step refined (robot registration time, path planning time and guide wire placement time), to select the best learning curve fitting model with the R2 value closest to 1. Using the turning point of the learning curve as the boundary, the learning curve was divided into two stages as learning stage and maturity stage, and then the observation indexes were compared between the two stages. Results:All 50 patients successfully completed the surgery without perioperative complications, with a total of 244 pedicle screws implanted. The total robot usage time and robot registration time showed a gradually decreasing trend with the increase of case number, and the learning curves were successfully fitted and reached their peaks at the seventeenth and thirteenth cases respectively. The entire learning process was divided into learning stage (17 cases) and maturity stage (33 cases) based on the turning point of the learning curve of total robot usage time. The path planning time and guide wire placement time did not show significant changes with the increase in the case number. The total robot usage time, robot registration time and the intraoperative blood loss in the learning stage were significantly higher than those in the maturity stage: (35.35 ± 1.58) min vs. (30.61 ± 0.43) min, (20.83 ± 1.56) min vs. (14.94 ± 0.29) min and 400 (150, 500) ml vs. 200 (110, 300) ml, the guide wire placement time of per screw was significantly lower than that in the maturity stage: 2.00 (1.83, 2.34) min/screw vs. 2.33 (2.13, 2.69) min/screw, and there were statistical differences ( P<0.05 or <0.01). There were no statistical difference in the path planning time, path planning time of per screw, guide wire placement time and the accuracy of screw placement between two stages ( P>0.05). Conclusions:TiRobot-assisted LPSF is a new technology with safety and effectiveness, and it has a relatively short learning curve. To achieve technological maturity, at least 17 surgeries are required with accumulated experience, and the robot registration is the main step of the learning process. After reaching maturity stage, the robot usage time is significantly shortened and intraoperative trauma is significantly reduced while the relatively high screw placement accuracy is ensured.
2.Mechanism of Jiming Powder in improving mitophagy for treatment of myocardial infarction based on PINK1-Parkin pathway.
Xin-Yi FAN ; Xiao-Qi WEI ; Wang-Jing CHAI ; Kuo GAO ; Fang-He LI ; Xue YU ; Shu-Zhen GUO
China Journal of Chinese Materia Medica 2025;50(12):3346-3355
In the present study, a mouse model of coronary artery ligation was employed to evaluate the effects of Jiming Powder on mitophagy in the mouse model of myocardial infarction and elucidate its underlying mechanisms. A mouse model of myocardial infarction post heart failure was constructed by ligating the left anterior descending branch of the coronary artery. The therapeutic efficacy of Jiming Powder was assessed from multiple perspectives, including ultrasonographic imaging, hematoxylin-eosin(HE) staining, Masson staining, and serum cardiac enzyme profiling. Dihydroethidium(DHE) staining was employed to evaluate the oxidative stress levels in the hearts of mice from each group. Mitophagy levels were assessed by scanning electron microscopy and immunofluorescence co-localization. Western blot was employed to determine the levels of key proteins involved in mitophagy, including Bcl-2-interacting protein beclin 1(BECN1), sequestosome 1(SQSTM1), microtubule-associated protein 1 light chain 3 beta(LC3B), PTEN-induced putative kinase 1(PINK1), phospho-Parkinson disease protein(p-Parkin), and Parkinson disease protein(Parkin). The results demonstrated that compared with the model group, high and low doses of Jiming Powder significantly reduced the left ventricular internal diameter in systole(LVIDs) and left ventricular internal diameter in diastole(LVIDd) and markedly improved the left ventricular ejection fraction(LVEF) and left ventricular fractional shortening(LVFS), effectively improving the cardiac function in post-myocardial infarction mice. Jiming Powder effectively reduced the levels of myocardial injury markers such as creatine kinase(CK), creatine kinase isoenzyme(CK-MB), and lactate dehydrogenase(LDH), thereby protecting ischemic myocardium. HE staining revealed that Jiming Powder attenuated inflammatory cell infiltration after myocardial infarction. Masson staining indicated that Jiming Powder effectively inhibited ventricular remodeling. Western blot results showed that Jiming Powder activated the PINK1-Parkin pathway, up-regulated the protein level of BECN1, down-regulated the protein level of SQSTM1, and increased the LC3Ⅱ/LC3Ⅰ ratio to promote mitophagy. In conclusion, Jiming Powder exerts therapeutic effects on myocardial infarction by inhibiting ventricular remodeling. The findings pave the way for subsequent pharmacological studies on the active components of Jiming Powder.
Animals
;
Myocardial Infarction/physiopathology*
;
Mitophagy/drug effects*
;
Mice
;
Drugs, Chinese Herbal/administration & dosage*
;
Protein Kinases/genetics*
;
Male
;
Ubiquitin-Protein Ligases/genetics*
;
Humans
;
Disease Models, Animal
;
Mice, Inbred C57BL
;
Signal Transduction/drug effects*
3.Mechanism of Jiming Powder in inhibiting ferroptosis in treatment of myocardial infarction based on NRF2/HO-1/GPX4 pathway.
Xin-Yi FAN ; Xiao-Qi WEI ; Wang-Jing CHAI ; Fang-He LI ; Kuo GAO ; Xue YU ; Shu-Zhen GUO
China Journal of Chinese Materia Medica 2025;50(11):3108-3116
This study employed a mouse model of coronary artery ligation to assess the effect and mechanism of Jiming Powder on mitochondrial autophagy in mice with myocardial infarction. The mouse model of heart failure post-myocardial infarction was established by ligating the left anterior descending coronary artery. The pharmacological efficacy of Jiming Powder was evaluated through echocardiographic imaging, hematoxylin-eosin(HE) staining, and Masson staining. The levels of malondialdehyde(MDA), Fe~(2+), reduced glutathione(GSH), and superoxide dismutase(SOD) in heart tissues, as well as MDA immunofluorescence of heart tissues, were measured to assess lipid peroxidation and Fe~(2+) levels in the hearts of mice in different groups. Ferroptosis levels in the groups were evaluated using scanning electron microscopy and Prussian blue staining. Western blot analysis was conducted to detect the levels of key ferroptosis-related proteins, including nuclear factor erythroid 2-related factor 2(NRF2), ferritin heavy chain(FTH), glutathione peroxidase 4(GPX4), solute carrier family 7 member 11(SLC7A11), heme oxygenase 1(HO-1), and Kelch-like ECH-associated protein 1(KEAP1). The results showed that compared with the model group, both the high-and low-dose Jiming Powder groups exhibited significantly reduced left ventricular internal diameter in systole(LVIDs) and left ventricular internal diameter in diastole(LVIDd), while the left ventricular ejection fraction(EF) and left ventricular fractional shortening(FS) were significantly improved, effectively enhancing cardiac function in mice post-myocardial infarction. HE staining revealed that Jiming Powder attenuated myocardial inflammatory cell infiltration post-infarction, and Masson staining indicated that Jiming Powder effectively reduced fibrosis in the infarct margin area. Treatment with Jiming Powder reduced the levels of MDA and Fe~(2+), indicators of lipid peroxidation post-myocardial infarction, while increasing GSH and SOD levels, thus protecting ischemic myocardium. Western blot results demonstrated that Jiming Powder reduced KEAP1 protein accumulation, activated the NRF2/HO-1/GPX4 pathway, and up-regulated the protein expression of FTH and SLC7A11, exerting an inhibitory effect on ferroptosis. This study reveals that Jiming Powder exerts a therapeutic effect on myocardial infarction by inhibiting ferroptosis through the NRF2/HO-1/GPX4 pathway, providing a foundation for subsequent research on the pharmacological effects of Jiming Powder.
Animals
;
Ferroptosis/drug effects*
;
Myocardial Infarction/physiopathology*
;
NF-E2-Related Factor 2/genetics*
;
Mice
;
Drugs, Chinese Herbal/administration & dosage*
;
Male
;
Heme Oxygenase-1/genetics*
;
Phospholipid Hydroperoxide Glutathione Peroxidase/genetics*
;
Humans
;
Mice, Inbred C57BL
;
Signal Transduction/drug effects*
;
Disease Models, Animal
4.Efficacy of a self-locking zero-notch interbody fusion device for treating long-segment cervical spondylosis in elderly patients
Ying-kai ZHANG ; Kuo XIA ; Hou-lei WANG ; Jing WANG ; Jia-qi ZHOU ; Ming-dong ZHAO
Fudan University Journal of Medical Sciences 2025;52(1):38-43,62
Objective To compare the therapeutic efficacy of a self-locking zero-notch interbody fusion device for long-segment cervical spondylosis in elderly patients with traditional titanium plate combined with interbody fusion device.Methods From Jan 2019 to Jan 2021,elderly patients(>60 years)with 3-4 segments(C3-C7)radiculopathy,myelopathy,or mixed-type cervical spondylosis underwent anterior cervical discectomy and fusion(ACDF)using a zero-notch interbody fusion device(Group A,n=24)and ACDF using a titanium plate combined with an interbody fusion device(Group B,n=18).We recorded the surgery duration,blood loss,incision length and hospital stay,measure preoperative and postoperative intervertebral height,functional segment height and cervical lordosis,and also observe treatment outcomes and postoperative complications between the two groups.Results There were no statistically significant differences between the two groups in terms of gender,age,Japanese Orthopaedic Association(JOA)score,visual analogue scale(VAS)of upper limb,Neck Disability Index(NDI),preoperative intervertebral height,functional segment height and cervical lordosis.Blood loss,surgery time and hospital stay were similar in both groups,but Group A had shorter incision length(P<0.01)compared with Group B.There were no significant differences between the two groups in JOA scores,upper limb VAS and postoperative NDI,and even in postoperative intervertebral height,functional segment height and cervical lordosis recovery.Conclusion The zero-notch interbody fusion device is effective for treating long-segment cervical spondylosis.Compared with the traditional titanium plate combined with an interbody fusion device,it can avoid postoperative dysphagia with smaller incision and shorter surgery time,which makes it more suitable for elderly patients.
5.Deep learning dose prediction network-assisted radiotherapy plan design for head and neck cancer
Xuena YAN ; Siqi YUAN ; Xuejie XIE ; Qi FU ; Xinyuan CHEN ; Kuo MEN ; Jianrong DAI
Chinese Journal of Radiation Oncology 2025;34(6):569-575
Objective:To construct a general deep learning dose prediction model applicable to radiotherapy for head and neck tumors, establish design methods for artificial intelligence (AI)-assisted radiotherapy plan and evaluate the accuracy of prediction.Methods:Radiotherapy plans of 818 patients who received radiotherapy for head and neck cancers from January 2018 to June 2021 in Cancer Hospital of Chinese Academy of Medical Sciences were enrolled. Patients involved 17 types of common head and neck cancers, and the prescribed dose covered 5 kinds of dose gradients ranging from 54 Gy to 73.92 Gy. And 1-2 cases per each cancer type (31 cases in total) were randomly selected as the validation set, and the remaining 787 cases were used as the training set to build a deep learning head and neck radiotherapy generalized dose prediction model. Then based on the dose prediction results of this model, a program was written to automatically generate inverse optimization condition scripts, which were sent back to the treatment planning system to achieve AI-assisted radiotherapy plan design. Among the patients who received radiotherapy in our hospital from June 2021 to January 2022, 1 patient for each disease type (17 cases in total) was selected to evaluate the AI-assisted plan design program and evaluate its clinical feasibility using paired t-test. Results:Dose prediction model accuracy evaluation revealed that in the 31-case validation set, there was no statistical difference in the evaluation metrics of clinical concern for organs at risks, except for the D 1 cm3 prediction for spinal cord planning risk volume, which was statistically different compared with the clinical reference plan. The AI-assisted plan design program had higher plan quality metric scores (37.88±6.42) than manual plans (35.00±7.63) in 17 test cases ( t=-1.00, P=0.166). The number of manual adjustments to the inverse optimization conditions was reduced from (5.47±2.97) times to (2.76±1.00) times for the AI-assisted plan compared to the manual-only plan ( t=4.12, P<0.001). And the number of outlined dose shaping structures was reduced from 7.35±3.98 to 3.12±1.18 ( t=5.61, P<0.001). Conclusions:The unified universal model of dose prediction established for different head and neck cancers has high accuracy in dose prediction for all types of head and neck tumor plans. The AI-assisted planning method established in this pattern can reduce the clinical workload of physicists and improve the efficiency of their work.
6.Comparison of effect between TiRobot assisted screw placement and freehand screw placement for lumbar degenerative diseases
Weiyang ZUO ; Qi FEI ; Kuo CHEN ; Yuquan LIU ; Haining TAN ; Lingjia YU ; Xiang LI ; Yong YANG
Chinese Journal of Postgraduates of Medicine 2025;48(1):30-34
Objective:To evaluate the safety and efficacy of the TiRobot assisted screw placement in patients with lumbar degenerative diseases.Methods:The clinical data of 165 patients with lumbar degenerative diseases from January 2020 to December 2022 in Beijing Friendship Hospital, Capital Medical University were retrospectively analyze, and all patients were treated with posterior lumbar decompression and instrumentation. Among them, 46 patients were used the TiRobot assisted screw placement during surgery (robotic-assisted group), and 119 patients underwent freehand screw placement by C-arm X-ray machine fluoroscopy (freehand group). The operation time, intraoperative blood loss, complication and skelalgia visual analogue scale (VAS), Oswestry disability index (ODI) before and after operation were recorded. The accuracy of screw placement and rate of proximal facet joint violation were compared between two groups.Results:There were no statistical difference in operation time, intraoperative blood loss and incidence of complication between two groups ( P>0.05). In the two groups, the 3 d VAS and ODI after operation were significantly lower than those before operation, robot-assisted group: (3.33 ± 1.40) scores vs. (6.54 ± 2.00) scores and (16.96 ± 8.03) scores vs. (43.09 ± 5.48) scores; freehand group: (3.56 ± 1.29) scores vs. (6.55 ± 1.65) scores and (18.89 ± 6.74) scores vs. (44.91 ± 4.96) scores, and there were statistical differences ( P<0.01); there were no statistical difference in VAS and ODI before operation and 3 d after operation between two groups ( P>0.05). A total of 234 screws were implanted in robot-assisted group, and 590 screws were implanted in freehand group. The accuracy of screw placement in robot-assisted group was significantly higher than that in freehand group: 80.77% (189/234) vs. 74.58% (440/590), the rate of proximal facet joint violation was significantly lower than that in freehand group: 2.56% (6/234) vs. 7.29% (43/590), and there were statistical differences ( χ2 = 3.56 and 6.68, P<0.05). Conclusions:The TiRobot assisted screw placement for lumbar degenerative diseases is safe and effective. Compared to freehand technique, the TiRobot assisted method demonstrates higher screw placement accuracy and a lower rate of proximal facet joint violation.
7.Analysis of learning curve of TiRobot-assisted lumbar pedicle screw fixation based on the cumulative sum test
Yuquan LIU ; Xiang LI ; Qi FEI ; Kuo CHEN ; Weiyang ZUO ; Bin ZHU ; Guoqiang ZHANG ; Lingjia YU ; Xuehu XIE ; Ning LIU ; Haining TAN ; Hai MENG ; Tianqi FAN ; Yong YANG
Chinese Journal of Postgraduates of Medicine 2025;48(1):10-17
Objective:To analyze the learning curve of TiRobot-assisted lumbar pedicle screw fixation (LPSF) by cumulative sum (CUSUM) test method.Methods:The clinical data of 50 patients who underwent TiRobot-assisted LPSF from January 2020 to December 2022 in Beijing Friendship Hospital, Capital Medical University were retrospectively analyzed. CUSUM analysis and learning curve fitting were performed with robot usage time as the main indicator with the time for each step refined (robot registration time, path planning time and guide wire placement time), to select the best learning curve fitting model with the R2 value closest to 1. Using the turning point of the learning curve as the boundary, the learning curve was divided into two stages as learning stage and maturity stage, and then the observation indexes were compared between the two stages. Results:All 50 patients successfully completed the surgery without perioperative complications, with a total of 244 pedicle screws implanted. The total robot usage time and robot registration time showed a gradually decreasing trend with the increase of case number, and the learning curves were successfully fitted and reached their peaks at the seventeenth and thirteenth cases respectively. The entire learning process was divided into learning stage (17 cases) and maturity stage (33 cases) based on the turning point of the learning curve of total robot usage time. The path planning time and guide wire placement time did not show significant changes with the increase in the case number. The total robot usage time, robot registration time and the intraoperative blood loss in the learning stage were significantly higher than those in the maturity stage: (35.35 ± 1.58) min vs. (30.61 ± 0.43) min, (20.83 ± 1.56) min vs. (14.94 ± 0.29) min and 400 (150, 500) ml vs. 200 (110, 300) ml, the guide wire placement time of per screw was significantly lower than that in the maturity stage: 2.00 (1.83, 2.34) min/screw vs. 2.33 (2.13, 2.69) min/screw, and there were statistical differences ( P<0.05 or <0.01). There were no statistical difference in the path planning time, path planning time of per screw, guide wire placement time and the accuracy of screw placement between two stages ( P>0.05). Conclusions:TiRobot-assisted LPSF is a new technology with safety and effectiveness, and it has a relatively short learning curve. To achieve technological maturity, at least 17 surgeries are required with accumulated experience, and the robot registration is the main step of the learning process. After reaching maturity stage, the robot usage time is significantly shortened and intraoperative trauma is significantly reduced while the relatively high screw placement accuracy is ensured.
8.Efficacy of a self-locking zero-notch interbody fusion device for treating long-segment cervical spondylosis in elderly patients
Ying-kai ZHANG ; Kuo XIA ; Hou-lei WANG ; Jing WANG ; Jia-qi ZHOU ; Ming-dong ZHAO
Fudan University Journal of Medical Sciences 2025;52(1):38-43,62
Objective To compare the therapeutic efficacy of a self-locking zero-notch interbody fusion device for long-segment cervical spondylosis in elderly patients with traditional titanium plate combined with interbody fusion device.Methods From Jan 2019 to Jan 2021,elderly patients(>60 years)with 3-4 segments(C3-C7)radiculopathy,myelopathy,or mixed-type cervical spondylosis underwent anterior cervical discectomy and fusion(ACDF)using a zero-notch interbody fusion device(Group A,n=24)and ACDF using a titanium plate combined with an interbody fusion device(Group B,n=18).We recorded the surgery duration,blood loss,incision length and hospital stay,measure preoperative and postoperative intervertebral height,functional segment height and cervical lordosis,and also observe treatment outcomes and postoperative complications between the two groups.Results There were no statistically significant differences between the two groups in terms of gender,age,Japanese Orthopaedic Association(JOA)score,visual analogue scale(VAS)of upper limb,Neck Disability Index(NDI),preoperative intervertebral height,functional segment height and cervical lordosis.Blood loss,surgery time and hospital stay were similar in both groups,but Group A had shorter incision length(P<0.01)compared with Group B.There were no significant differences between the two groups in JOA scores,upper limb VAS and postoperative NDI,and even in postoperative intervertebral height,functional segment height and cervical lordosis recovery.Conclusion The zero-notch interbody fusion device is effective for treating long-segment cervical spondylosis.Compared with the traditional titanium plate combined with an interbody fusion device,it can avoid postoperative dysphagia with smaller incision and shorter surgery time,which makes it more suitable for elderly patients.
9.Comparison of effect between TiRobot assisted screw placement and freehand screw placement for lumbar degenerative diseases
Weiyang ZUO ; Qi FEI ; Kuo CHEN ; Yuquan LIU ; Haining TAN ; Lingjia YU ; Xiang LI ; Yong YANG
Chinese Journal of Postgraduates of Medicine 2025;48(1):30-34
Objective:To evaluate the safety and efficacy of the TiRobot assisted screw placement in patients with lumbar degenerative diseases.Methods:The clinical data of 165 patients with lumbar degenerative diseases from January 2020 to December 2022 in Beijing Friendship Hospital, Capital Medical University were retrospectively analyze, and all patients were treated with posterior lumbar decompression and instrumentation. Among them, 46 patients were used the TiRobot assisted screw placement during surgery (robotic-assisted group), and 119 patients underwent freehand screw placement by C-arm X-ray machine fluoroscopy (freehand group). The operation time, intraoperative blood loss, complication and skelalgia visual analogue scale (VAS), Oswestry disability index (ODI) before and after operation were recorded. The accuracy of screw placement and rate of proximal facet joint violation were compared between two groups.Results:There were no statistical difference in operation time, intraoperative blood loss and incidence of complication between two groups ( P>0.05). In the two groups, the 3 d VAS and ODI after operation were significantly lower than those before operation, robot-assisted group: (3.33 ± 1.40) scores vs. (6.54 ± 2.00) scores and (16.96 ± 8.03) scores vs. (43.09 ± 5.48) scores; freehand group: (3.56 ± 1.29) scores vs. (6.55 ± 1.65) scores and (18.89 ± 6.74) scores vs. (44.91 ± 4.96) scores, and there were statistical differences ( P<0.01); there were no statistical difference in VAS and ODI before operation and 3 d after operation between two groups ( P>0.05). A total of 234 screws were implanted in robot-assisted group, and 590 screws were implanted in freehand group. The accuracy of screw placement in robot-assisted group was significantly higher than that in freehand group: 80.77% (189/234) vs. 74.58% (440/590), the rate of proximal facet joint violation was significantly lower than that in freehand group: 2.56% (6/234) vs. 7.29% (43/590), and there were statistical differences ( χ2 = 3.56 and 6.68, P<0.05). Conclusions:The TiRobot assisted screw placement for lumbar degenerative diseases is safe and effective. Compared to freehand technique, the TiRobot assisted method demonstrates higher screw placement accuracy and a lower rate of proximal facet joint violation.
10.Deep learning dose prediction network-assisted radiotherapy plan design for head and neck cancer
Xuena YAN ; Siqi YUAN ; Xuejie XIE ; Qi FU ; Xinyuan CHEN ; Kuo MEN ; Jianrong DAI
Chinese Journal of Radiation Oncology 2025;34(6):569-575
Objective:To construct a general deep learning dose prediction model applicable to radiotherapy for head and neck tumors, establish design methods for artificial intelligence (AI)-assisted radiotherapy plan and evaluate the accuracy of prediction.Methods:Radiotherapy plans of 818 patients who received radiotherapy for head and neck cancers from January 2018 to June 2021 in Cancer Hospital of Chinese Academy of Medical Sciences were enrolled. Patients involved 17 types of common head and neck cancers, and the prescribed dose covered 5 kinds of dose gradients ranging from 54 Gy to 73.92 Gy. And 1-2 cases per each cancer type (31 cases in total) were randomly selected as the validation set, and the remaining 787 cases were used as the training set to build a deep learning head and neck radiotherapy generalized dose prediction model. Then based on the dose prediction results of this model, a program was written to automatically generate inverse optimization condition scripts, which were sent back to the treatment planning system to achieve AI-assisted radiotherapy plan design. Among the patients who received radiotherapy in our hospital from June 2021 to January 2022, 1 patient for each disease type (17 cases in total) was selected to evaluate the AI-assisted plan design program and evaluate its clinical feasibility using paired t-test. Results:Dose prediction model accuracy evaluation revealed that in the 31-case validation set, there was no statistical difference in the evaluation metrics of clinical concern for organs at risks, except for the D 1 cm3 prediction for spinal cord planning risk volume, which was statistically different compared with the clinical reference plan. The AI-assisted plan design program had higher plan quality metric scores (37.88±6.42) than manual plans (35.00±7.63) in 17 test cases ( t=-1.00, P=0.166). The number of manual adjustments to the inverse optimization conditions was reduced from (5.47±2.97) times to (2.76±1.00) times for the AI-assisted plan compared to the manual-only plan ( t=4.12, P<0.001). And the number of outlined dose shaping structures was reduced from 7.35±3.98 to 3.12±1.18 ( t=5.61, P<0.001). Conclusions:The unified universal model of dose prediction established for different head and neck cancers has high accuracy in dose prediction for all types of head and neck tumor plans. The AI-assisted planning method established in this pattern can reduce the clinical workload of physicists and improve the efficiency of their work.

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