<b><span>Purpose</span></b><b><span>: </span></b><span>The purpose </span><span>of </span><span>this study was to define a treatment protoc...<b><span>Purpose</span></b><b><span>: </span></b><span>The purpose </span><span>of </span><span>this study was to define a treatment protocol in which a non-vascularized endosteal fibular strut graft, a corticocancellous grafts and a locking plate construct </span><span>are</span><span> used for stabilization of the delayed and neglected proximal humerus fractures and to report its outcome. </span><b><span>Patients & Methods</span></b><b><span>:</span></b><b><span> </span></b><span>Eleven patients (6 females and 5 males) with delayed, neglected proximal humerus fractures were included in this study,</span><span> </span><span>conducted between March 2015 </span><span>and </span><span>December 2019.</span><span> </span><span>Average age of the patients was 57 years (range: 41 to 67 yrs). All patients were treated with the debridement, decortication and shingling of the bone at the site of the fracture followed by using an endosteal fibular strut graft, corticocancellous bone grafts and stabilization with locking plate. The patients were followed</span><span> </span><span>up for a mean time of 16.3 months (range: 13 </span><span>to </span><span>40 months). The patient outcomes were evaluated using the Disabilities of the Arm, Shoulder, and Hand Questionnaire, and the modified scoring system of Constant and Murley. </span><b><span>Results</span></b><b><span>:</span></b><b><span> </span></b><span>Union at the fracture site was achieved in all patients at a mean </span><span>of </span><span>8.5 months (range: 6 to 11 months). The DASH score improved from an average pre-operative score of 71.1 (range: 64 to 78) to an average post-operative score of 25.2 (range: 21 to 35) at the final follow-up. Albeit with a small sample size of n</span><span> </span><span>=</span><span> </span><span>11, this difference was found to be statistically significant (p</span><span> </span><span><</span><span> </span><span>0.05). The CM score improved from an average pre-operative score of 33.2 (range: 20 to 48) to an average post-o展开更多
Considering the mutual interference between species, a stochastic predator-prey model with impulses and Holling-II functional response is proposed in this paper. Firstly, by constructing an equivalent system without i...Considering the mutual interference between species, a stochastic predator-prey model with impulses and Holling-II functional response is proposed in this paper. Firstly, by constructing an equivalent system without impulses, the existence of a globally unique positive solution is proved. Secondly, in cases of the mutual coefficient m = 1 and 0 m < 1, by constructing suitable Lyapunov functional, the existence of T-periodic solution is investigated under some certain conditions. Finally, numerical simulation is introduced to verify our main results.展开更多
In this paper,we study the solution to the endolymph equation using the fractional derivative of arbitrary orderλ(0<λ<1).The exact analytic solution is given by using Laplace transform in terms of Mittag-Leffl...In this paper,we study the solution to the endolymph equation using the fractional derivative of arbitrary orderλ(0<λ<1).The exact analytic solution is given by using Laplace transform in terms of Mittag-Leffler functions.We then evaluate the approximate numerical solution using MATLAB. 展开更多
We concern the inverse problem of determination of unknown source term for one-dimensional hyperbolic half-linear equation. Approach form for inverse problem is given by using correlative problem of assistant. We conc...We concern the inverse problem of determination of unknown source term for one-dimensional hyperbolic half-linear equation. Approach form for inverse problem is given by using correlative problem of assistant. We concern more ordinary problem than this paper, which is turned into integral equation with the method of characteristic line. We prove the existence and uniqueness of part solution for inverse problem, and unknown source can be solved bv successive approximation.展开更多
文摘<b><span>Purpose</span></b><b><span>: </span></b><span>The purpose </span><span>of </span><span>this study was to define a treatment protocol in which a non-vascularized endosteal fibular strut graft, a corticocancellous grafts and a locking plate construct </span><span>are</span><span> used for stabilization of the delayed and neglected proximal humerus fractures and to report its outcome. </span><b><span>Patients & Methods</span></b><b><span>:</span></b><b><span> </span></b><span>Eleven patients (6 females and 5 males) with delayed, neglected proximal humerus fractures were included in this study,</span><span> </span><span>conducted between March 2015 </span><span>and </span><span>December 2019.</span><span> </span><span>Average age of the patients was 57 years (range: 41 to 67 yrs). All patients were treated with the debridement, decortication and shingling of the bone at the site of the fracture followed by using an endosteal fibular strut graft, corticocancellous bone grafts and stabilization with locking plate. The patients were followed</span><span> </span><span>up for a mean time of 16.3 months (range: 13 </span><span>to </span><span>40 months). The patient outcomes were evaluated using the Disabilities of the Arm, Shoulder, and Hand Questionnaire, and the modified scoring system of Constant and Murley. </span><b><span>Results</span></b><b><span>:</span></b><b><span> </span></b><span>Union at the fracture site was achieved in all patients at a mean </span><span>of </span><span>8.5 months (range: 6 to 11 months). The DASH score improved from an average pre-operative score of 71.1 (range: 64 to 78) to an average post-operative score of 25.2 (range: 21 to 35) at the final follow-up. Albeit with a small sample size of n</span><span> </span><span>=</span><span> </span><span>11, this difference was found to be statistically significant (p</span><span> </span><span><</span><span> </span><span>0.05). The CM score improved from an average pre-operative score of 33.2 (range: 20 to 48) to an average post-o
文摘Considering the mutual interference between species, a stochastic predator-prey model with impulses and Holling-II functional response is proposed in this paper. Firstly, by constructing an equivalent system without impulses, the existence of a globally unique positive solution is proved. Secondly, in cases of the mutual coefficient m = 1 and 0 m < 1, by constructing suitable Lyapunov functional, the existence of T-periodic solution is investigated under some certain conditions. Finally, numerical simulation is introduced to verify our main results.
基金Supported by the National Natural Science Foundation of China (10461005) the Scientific Research Foundation of Tianjin Education Committee (20050404 2006ZH91).
文摘In this paper,we study the solution to the endolymph equation using the fractional derivative of arbitrary orderλ(0<λ<1).The exact analytic solution is given by using Laplace transform in terms of Mittag-Leffler functions.We then evaluate the approximate numerical solution using MATLAB.
文摘We concern the inverse problem of determination of unknown source term for one-dimensional hyperbolic half-linear equation. Approach form for inverse problem is given by using correlative problem of assistant. We concern more ordinary problem than this paper, which is turned into integral equation with the method of characteristic line. We prove the existence and uniqueness of part solution for inverse problem, and unknown source can be solved bv successive approximation.