Background: Fractures of humeral shaft in adults are common injuries. Humeral shafts non-union either from late presentation after initial treatment by traditional bone setters or failed non-operative orthodox care is...Background: Fractures of humeral shaft in adults are common injuries. Humeral shafts non-union either from late presentation after initial treatment by traditional bone setters or failed non-operative orthodox care is a major problem in this part of the world. This non-union is a major treatment challenge with increased cost of care and morbidity in this part of the world. Humeral shaft non-union can be treated with locked intra-medullary nailing (LIMN) or dynamic compression plating (DCP). Study on comparison of these methods of fixation in this part of the world is scarce in literature search, hence the reason for this study. Objective: The objectives of this study are: (1) to compare early clinical outcome following fixation of humeral shaft fracture nonunion with DCP versus LIMN;(2) to compare the time of radiologic fracture union of DCP with LIMN;(3) to compare complications following fixation of humeral shaft fracture nonunion with DCP versus LIMN. Patients and Methods: This was a randomized control study done for 2 years in which fifty adult patients with humeral shaft non-union were recruited. The patients were grouped into 2 (P = DCP & N = LIMN). Forty five of the patients completed the follow up periods of the study and then analyzed. The P group had ORIF with DCP while the N group had ORIF with LIMN. Both groups had grafting with cancellous bones. Each patient was followed up for a period of 6 months at the time which radiographic union is expected. Any patient without clinical and/or radiographic evidence of union after six months of surgery was diagnosed as having recurrent non-union. The data generated was analyzed using SPSS Version 23. The results were presented in charts and tables. The paired t-test was used while considering p value Result: Forty five patients completed follow up. There was a male preponderance (4:1), right humerus predominated (3:2). Motor vehicular accidents were the commonest cause of the fractures (62%). Most non-union fractures occurred at the level of the middle 3<sup>rd</sup> of the humeral shaft (60%). Failed TBS treatment was the commonest indication for the osteosynthesis (71%). More patients had plating (53%) compared to 47% who had LIMN. Most patients (93.4%) had union between 3 to 6 months irrespective of fixation type with no significant statistical difference between the union rate of DCP and LIMN (p value 0.06) with similar functional outcome and complication rates irrespective of the type of fixation. Conclusion: This study showed that the success rates in term of fracture union, outcome functional grades and complication rates were not directly dependent on the types of the fixation: plating or locked intra-medullary nailing.展开更多
Let G be a 2 connected simple graph of order n ( n ≥5) and minimum degree δ . In this paper, we show that if for any two nonadjacent vertices u , v of G there holds | N(u)∪N(v)|≥n-δ , t...Let G be a 2 connected simple graph of order n ( n ≥5) and minimum degree δ . In this paper, we show that if for any two nonadjacent vertices u , v of G there holds | N(u)∪N(v)|≥n-δ , then G is {3,4} - vertex pancyclic unless G≌K n2,n2 .展开更多
Let G be a graph, the square graph G 2 of G is a graph satisfying V(G 2)=V(G) and E(G 2)=E(G)∪｛uv: dist G(u, v)=2｝ . In this paper, we use the technique of vertex insertion on l -connected ( l=k or k...Let G be a graph, the square graph G 2 of G is a graph satisfying V(G 2)=V(G) and E(G 2)=E(G)∪｛uv: dist G(u, v)=2｝ . In this paper, we use the technique of vertex insertion on l -connected ( l=k or k+1, k≥2 ) claw-free graphs to provide a unified proof for G to be Hamiltonian, 1 -Hamiltonian or Hamiltonian-connected. The sufficient conditions are expressed by the inequality concerning ∑ k i=0N(Y i) and n(Y) in G for each independent set Y=｛y 0, y 1, …, y k｝ of the square graph of G , where b ( 0<b<k+1 ) is an integer, Y i=｛y i, y i-1, …, y i-(b-1)｝Y for i∈｛0, 1, …, k｝ , where subscriptions of y j s will be taken modulo k+1 , and n(Y)=｛v∈ V(G): dist (v, Y)≤ 2｝ .展开更多
传统的图像聚类方法存在对初始数据敏感且计算复杂度高的问题,且图像全局特征难以有效地表达图像内容。针对这些问题,提出一种基于Union-Find的图像聚类方法。首先,该方法采用视觉词袋模型Bo VWM(Bag of Visual Words Model)来描述图像...传统的图像聚类方法存在对初始数据敏感且计算复杂度高的问题,且图像全局特征难以有效地表达图像内容。针对这些问题,提出一种基于Union-Find的图像聚类方法。首先,该方法采用视觉词袋模型Bo VWM(Bag of Visual Words Model)来描述图像内容并且利用投票方法来计算每对图像的相似度得分;然后,对于相似度得分大于给定阈值的图像对进行union和find两个操作并将相连的分量形成聚类结果。实验结果表明,该方法较之于传统方法能较好地改善图像聚类效果,且不需要初始聚类数目作为先验参数。展开更多
Let G be a graph, an independent set Y in G is called an essential independent set (or essential set for simplicity), if there is {y 1,y 2} Y such that dist (y 1,y 2)=2. In this paper, we wi...Let G be a graph, an independent set Y in G is called an essential independent set (or essential set for simplicity), if there is {y 1,y 2} Y such that dist (y 1,y 2)=2. In this paper, we will use the technique of the vertex insertion on l connected ( l=k or k+1,k≥2 ) claw free graphs to provide a unified proof for G to be hamiltonian or 1 hamiltonian, the sufficient conditions are expressed by the inequality concerning ∑ki=0N(Y i) and n(Y) for each essential set Y={y 0,y 1,...,y k} of G , where Y i={y i,y i-1 ,...,y i-(b-1) }Y for i∈{0,1,...,k} (the subscriptions of y j ’s will be taken modulo k+1 ), b ( 0【b【k+1 ) is an integer, and n(Y)={v∈V(G): dist (v,Y)≤2 }.展开更多
AIM To analyze the literature on efficacy of dynamamization vs exchange nailing in treatment of delayed and nonunion femur fractures.METHODS Ultimately, 31 peer-reviewed articles with 644 exchanged nailing patients an...AIM To analyze the literature on efficacy of dynamamization vs exchange nailing in treatment of delayed and nonunion femur fractures.METHODS Ultimately, 31 peer-reviewed articles with 644 exchanged nailing patients and 131 dynamization patients were identified and analyzed. The following key words were inputted in different combinations in order to search the field of publications in its entirety: "nonunion", "delayed union", "ununited", "femur fracture", "femoral fracture", "exchange nailing", "dynaiz(s)ation", "secondary nailing", "dynamic", "static", and "nail revision". The initial search yielded over 150 results, and was refined based on the inclusion criteria: Only studies reporting on humans, non-unions and delayed unions, and the usage of exchange nailing and/or dynamization as a secondary treatment after failed IM nailing. The resulting 66 articles were obtained through online journal access. The results were filtered further based on the exclusion criteria: No articles that failed to report overall union rates, differentiate between success rates of their reported techniques, or articles that analyzed less than 5 patients. RESULTS Exchange nailing lead to fracture union in 84.785% of patients compared to the 66.412% of dynamization with statistically comparable durations until union(5.193 ± 2.310 mo and 4.769 ± 1.986 mo respectively). Dynamically locking exchange nails resulted in an average union time of 5.208 ± 2.475 mo compared to 5.149 ± 2.366 mo(P = 0.8682) in statically locked exchange nails. The overall union rate of the two procedures, statically and dynamically locked exchange nailing yielded union rates of 84.259% and 82.381% respectively. Therefore, there was no significant difference between the different locking methods of exchange nailing for union rate or time to union at a significance value of P < 0.05. The analysis showed exchange nailing to be the more successful choice in the treatment of femoral non-unions in respect to its higher success rate(491/567 EN, 24/57 dynam, P < 0.0001). However, there was no significant difference between the success rates of the two procedures for delayed union fractures(25/27 EN, 45/55 dynam, P = 0.3299). Nevertheless, dynamization was more efficient in the treatment of delayed unions(at rates comparable to exchange nailing) than in the treatment of non-unions.CONCLUSION In conclusion, after examination of factors, dynamization is recommended treatment of delayed femur fractures, while exchange nailing is the treatment of choice for non-unions.展开更多
AIM To investigate the effectiveness of a two-stage surgical procedure for the treatment of septic forearm non-union.METHODS Septic non-unions are rare complications of forearm fractures. When they occur, they modify ...AIM To investigate the effectiveness of a two-stage surgical procedure for the treatment of septic forearm non-union.METHODS Septic non-unions are rare complications of forearm fractures. When they occur, they modify the relationship between forearm bones leading to a severe functional impairment. Treatment is challenging and surgery and antibiotic therapy are required to achieve infection resolution. It is even harder to obtain non-union healing with good functional results. The aim of this study is to present a two stages surgical treatment for septic forearm non-union with revision and temporary stabilization of the non-union until infection has cleared and subsequently perform a new synthesis with plate, opposite bone graft strut and intercalary graft. We retrospectively reviewed 18 patients with a mean age at the time of primary injury of 34.5 years(19-57 years) and a mean follow-up of 6 years(2-10 years). All patients presented an atrophic nonunion with a mean length of the bone defect of 1.8 cm(1.2-4 cm). Complications and clinical results after surgical treatment were recorded. RESULTS Mean time to resolution of the infectious process was 8.2 wk(range 4-20 wk) after the first surgery and specific antibiotic therapy. All the non-union healed with an average time of 5 mo(range 2-10 mo) after the second step surgery. Cultures on intraoperative samples werepositive in all cases. No major intraoperative complications occurred. Two patients developed minor complications and one needed a second surgical debridement for infection resolution. At the last follow-up functional results were excellent in 5(27.8%) patients, satisfactory in 10(55.5%) and unsatisfactory in 3(16.7%) patients. No activities of daily living(ADLs) limitations were reported by 12(66.6%) patients, slight by 3(16.6%) and severe limitation by 3(16.6%) patients. Mean visual analog scale at the last follow-up was 1(0-3).CONCLUSION The two-step technique has proven to be effective to achieve resolution of the infectious process and union with good functional results and low rate of complications.展开更多
The use of heterografts is widely applied for the production of several important commercial crops,but the molecular mechanism of graft union formation remains poorly understood.Here,cucumber grafted onto pumpkin was ...The use of heterografts is widely applied for the production of several important commercial crops,but the molecular mechanism of graft union formation remains poorly understood.Here,cucumber grafted onto pumpkin was used to study graft union development,and genome-wide tempo-spatial gene expression at the graft interface was comprehensively investigated.Histological analysis suggested that resumption of the rootstock growth occurred after both phloem and xylem reconnection,and the scion showed evident callus production compared with the rootstock 3 days after grafting.Consistently,transcriptome data revealed specific responses between the scion and rootstock in the expression of genes related to cambium development,the cell cycle,and sugar metabolism during both vascular reconnection and healing,indicating distinct mechanisms.Additionally,lower levels of sugars and significantly changed sugar enzyme activities at the graft junction were observed during vascular reconnection.Next,we found that the healing process of grafted etiolated seedlings was significantly delayed,and graft success,xylem reconnection,and the growth of grafted plants were enhanced by exogenous glucose.This demonstrates that graft union formation requires the correct sugar content.Furthermore,we also found that graft union formation was delayed with a lower energy charge by the target of rapamycin(TOR)inhibitor AZD-8055,and xylem reconnection and the growth of grafted plants were enhanced under AZD-8055 with exogenous glucose treatment.Taken together,our results reveal that sugars play a positive role in graft union formation by promoting the growth of cucumber/pumpkin and provide useful information for understanding graft union healing and the application of heterografting in the future.展开更多
Diab proved the following graphs are Cordial;Pm K1,n if and only if(m,n) =(1,2);Cm K1,n;Pm Kn;Cm Kn for all m and n except m ≡ 2(mod 4).In this paper,we proved the Cordiality on the union of 3-regular connected graph...Diab proved the following graphs are Cordial;Pm K1,n if and only if(m,n) =(1,2);Cm K1,n;Pm Kn;Cm Kn for all m and n except m ≡ 2(mod 4).In this paper,we proved the Cordiality on the union of 3-regular connected graph K3 and cycle Cm.First we have the Lemma 2,if uv ∈ E(G),G is Cordial,we add 4 vertices x,y,z,w in sequence to the edge uv,obtain a new graph denoted by G*,then G* is still Cordial,by this lemma,we consider four cases on the union of 3-regular connected graph R3,and for every case we distinguish four subcases on the cycle Cm.展开更多
文摘Background: Fractures of humeral shaft in adults are common injuries. Humeral shafts non-union either from late presentation after initial treatment by traditional bone setters or failed non-operative orthodox care is a major problem in this part of the world. This non-union is a major treatment challenge with increased cost of care and morbidity in this part of the world. Humeral shaft non-union can be treated with locked intra-medullary nailing (LIMN) or dynamic compression plating (DCP). Study on comparison of these methods of fixation in this part of the world is scarce in literature search, hence the reason for this study. Objective: The objectives of this study are: (1) to compare early clinical outcome following fixation of humeral shaft fracture nonunion with DCP versus LIMN;(2) to compare the time of radiologic fracture union of DCP with LIMN;(3) to compare complications following fixation of humeral shaft fracture nonunion with DCP versus LIMN. Patients and Methods: This was a randomized control study done for 2 years in which fifty adult patients with humeral shaft non-union were recruited. The patients were grouped into 2 (P = DCP & N = LIMN). Forty five of the patients completed the follow up periods of the study and then analyzed. The P group had ORIF with DCP while the N group had ORIF with LIMN. Both groups had grafting with cancellous bones. Each patient was followed up for a period of 6 months at the time which radiographic union is expected. Any patient without clinical and/or radiographic evidence of union after six months of surgery was diagnosed as having recurrent non-union. The data generated was analyzed using SPSS Version 23. The results were presented in charts and tables. The paired t-test was used while considering p value Result: Forty five patients completed follow up. There was a male preponderance (4:1), right humerus predominated (3:2). Motor vehicular accidents were the commonest cause of the fractures (62%). Most non-union fractures occurred at the level of the middle 3<sup>rd</sup> of the humeral shaft (60%). Failed TBS treatment was the commonest indication for the osteosynthesis (71%). More patients had plating (53%) compared to 47% who had LIMN. Most patients (93.4%) had union between 3 to 6 months irrespective of fixation type with no significant statistical difference between the union rate of DCP and LIMN (p value 0.06) with similar functional outcome and complication rates irrespective of the type of fixation. Conclusion: This study showed that the success rates in term of fracture union, outcome functional grades and complication rates were not directly dependent on the types of the fixation: plating or locked intra-medullary nailing.
文摘Let G be a 2 connected simple graph of order n ( n ≥5) and minimum degree δ . In this paper, we show that if for any two nonadjacent vertices u , v of G there holds | N(u)∪N(v)|≥n-δ , then G is {3,4} - vertex pancyclic unless G≌K n2,n2 .
文摘Let G be a graph, the square graph G 2 of G is a graph satisfying V(G 2)=V(G) and E(G 2)=E(G)∪｛uv: dist G(u, v)=2｝ . In this paper, we use the technique of vertex insertion on l -connected ( l=k or k+1, k≥2 ) claw-free graphs to provide a unified proof for G to be Hamiltonian, 1 -Hamiltonian or Hamiltonian-connected. The sufficient conditions are expressed by the inequality concerning ∑ k i=0N(Y i) and n(Y) in G for each independent set Y=｛y 0, y 1, …, y k｝ of the square graph of G , where b ( 0<b<k+1 ) is an integer, Y i=｛y i, y i-1, …, y i-(b-1)｝Y for i∈｛0, 1, …, k｝ , where subscriptions of y j s will be taken modulo k+1 , and n(Y)=｛v∈ V(G): dist (v, Y)≤ 2｝ .
文摘传统的图像聚类方法存在对初始数据敏感且计算复杂度高的问题,且图像全局特征难以有效地表达图像内容。针对这些问题,提出一种基于Union-Find的图像聚类方法。首先,该方法采用视觉词袋模型Bo VWM(Bag of Visual Words Model)来描述图像内容并且利用投票方法来计算每对图像的相似度得分;然后,对于相似度得分大于给定阈值的图像对进行union和find两个操作并将相连的分量形成聚类结果。实验结果表明,该方法较之于传统方法能较好地改善图像聚类效果,且不需要初始聚类数目作为先验参数。
文摘Let G be a graph, an independent set Y in G is called an essential independent set (or essential set for simplicity), if there is {y 1,y 2} Y such that dist (y 1,y 2)=2. In this paper, we will use the technique of the vertex insertion on l connected ( l=k or k+1,k≥2 ) claw free graphs to provide a unified proof for G to be hamiltonian or 1 hamiltonian, the sufficient conditions are expressed by the inequality concerning ∑ki=0N(Y i) and n(Y) for each essential set Y={y 0,y 1,...,y k} of G , where Y i={y i,y i-1 ,...,y i-(b-1) }Y for i∈{0,1,...,k} (the subscriptions of y j ’s will be taken modulo k+1 ), b ( 0【b【k+1 ) is an integer, and n(Y)={v∈V(G): dist (v,Y)≤2 }.
文摘AIM To analyze the literature on efficacy of dynamamization vs exchange nailing in treatment of delayed and nonunion femur fractures.METHODS Ultimately, 31 peer-reviewed articles with 644 exchanged nailing patients and 131 dynamization patients were identified and analyzed. The following key words were inputted in different combinations in order to search the field of publications in its entirety: "nonunion", "delayed union", "ununited", "femur fracture", "femoral fracture", "exchange nailing", "dynaiz(s)ation", "secondary nailing", "dynamic", "static", and "nail revision". The initial search yielded over 150 results, and was refined based on the inclusion criteria: Only studies reporting on humans, non-unions and delayed unions, and the usage of exchange nailing and/or dynamization as a secondary treatment after failed IM nailing. The resulting 66 articles were obtained through online journal access. The results were filtered further based on the exclusion criteria: No articles that failed to report overall union rates, differentiate between success rates of their reported techniques, or articles that analyzed less than 5 patients. RESULTS Exchange nailing lead to fracture union in 84.785% of patients compared to the 66.412% of dynamization with statistically comparable durations until union(5.193 ± 2.310 mo and 4.769 ± 1.986 mo respectively). Dynamically locking exchange nails resulted in an average union time of 5.208 ± 2.475 mo compared to 5.149 ± 2.366 mo(P = 0.8682) in statically locked exchange nails. The overall union rate of the two procedures, statically and dynamically locked exchange nailing yielded union rates of 84.259% and 82.381% respectively. Therefore, there was no significant difference between the different locking methods of exchange nailing for union rate or time to union at a significance value of P < 0.05. The analysis showed exchange nailing to be the more successful choice in the treatment of femoral non-unions in respect to its higher success rate(491/567 EN, 24/57 dynam, P < 0.0001). However, there was no significant difference between the success rates of the two procedures for delayed union fractures(25/27 EN, 45/55 dynam, P = 0.3299). Nevertheless, dynamization was more efficient in the treatment of delayed unions(at rates comparable to exchange nailing) than in the treatment of non-unions.CONCLUSION In conclusion, after examination of factors, dynamization is recommended treatment of delayed femur fractures, while exchange nailing is the treatment of choice for non-unions.
文摘AIM To investigate the effectiveness of a two-stage surgical procedure for the treatment of septic forearm non-union.METHODS Septic non-unions are rare complications of forearm fractures. When they occur, they modify the relationship between forearm bones leading to a severe functional impairment. Treatment is challenging and surgery and antibiotic therapy are required to achieve infection resolution. It is even harder to obtain non-union healing with good functional results. The aim of this study is to present a two stages surgical treatment for septic forearm non-union with revision and temporary stabilization of the non-union until infection has cleared and subsequently perform a new synthesis with plate, opposite bone graft strut and intercalary graft. We retrospectively reviewed 18 patients with a mean age at the time of primary injury of 34.5 years(19-57 years) and a mean follow-up of 6 years(2-10 years). All patients presented an atrophic nonunion with a mean length of the bone defect of 1.8 cm(1.2-4 cm). Complications and clinical results after surgical treatment were recorded. RESULTS Mean time to resolution of the infectious process was 8.2 wk(range 4-20 wk) after the first surgery and specific antibiotic therapy. All the non-union healed with an average time of 5 mo(range 2-10 mo) after the second step surgery. Cultures on intraoperative samples werepositive in all cases. No major intraoperative complications occurred. Two patients developed minor complications and one needed a second surgical debridement for infection resolution. At the last follow-up functional results were excellent in 5(27.8%) patients, satisfactory in 10(55.5%) and unsatisfactory in 3(16.7%) patients. No activities of daily living(ADLs) limitations were reported by 12(66.6%) patients, slight by 3(16.6%) and severe limitation by 3(16.6%) patients. Mean visual analog scale at the last follow-up was 1(0-3).CONCLUSION The two-step technique has proven to be effective to achieve resolution of the infectious process and union with good functional results and low rate of complications.
基金This work was supported by the National Natural Science Foundation of China(No.31772363)the Science and Technology Innovation Program of the Chinese Academy of Agricultural Sciences(CAAS-ASTIP-IVFCAAS)+1 种基金the“Taishan Scholar”Foundation of the People’s Government of Shandong Province,the Key Laboratory of Horticultural Crop Biology and Germplasm Innovation,the Ministry of Agriculture,Chinathe Earmarked fund for Modern Agro-industry Technology Research System(CARS-25-C-01).
文摘The use of heterografts is widely applied for the production of several important commercial crops,but the molecular mechanism of graft union formation remains poorly understood.Here,cucumber grafted onto pumpkin was used to study graft union development,and genome-wide tempo-spatial gene expression at the graft interface was comprehensively investigated.Histological analysis suggested that resumption of the rootstock growth occurred after both phloem and xylem reconnection,and the scion showed evident callus production compared with the rootstock 3 days after grafting.Consistently,transcriptome data revealed specific responses between the scion and rootstock in the expression of genes related to cambium development,the cell cycle,and sugar metabolism during both vascular reconnection and healing,indicating distinct mechanisms.Additionally,lower levels of sugars and significantly changed sugar enzyme activities at the graft junction were observed during vascular reconnection.Next,we found that the healing process of grafted etiolated seedlings was significantly delayed,and graft success,xylem reconnection,and the growth of grafted plants were enhanced by exogenous glucose.This demonstrates that graft union formation requires the correct sugar content.Furthermore,we also found that graft union formation was delayed with a lower energy charge by the target of rapamycin(TOR)inhibitor AZD-8055,and xylem reconnection and the growth of grafted plants were enhanced under AZD-8055 with exogenous glucose treatment.Taken together,our results reveal that sugars play a positive role in graft union formation by promoting the growth of cucumber/pumpkin and provide useful information for understanding graft union healing and the application of heterografting in the future.
文摘Diab proved the following graphs are Cordial;Pm K1,n if and only if(m,n) =(1,2);Cm K1,n;Pm Kn;Cm Kn for all m and n except m ≡ 2(mod 4).In this paper,we proved the Cordiality on the union of 3-regular connected graph K3 and cycle Cm.First we have the Lemma 2,if uv ∈ E(G),G is Cordial,we add 4 vertices x,y,z,w in sequence to the edge uv,obtain a new graph denoted by G*,then G* is still Cordial,by this lemma,we consider four cases on the union of 3-regular connected graph R3,and for every case we distinguish four subcases on the cycle Cm.
