ORCID Profile
0000-0002-9460-9217
Current Organisation
University of Science and Technology of China
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Pure Mathematics | Partial Differential Equations | Algebraic and Differential Geometry
Publisher: World Scientific Pub Co Pte Lt
Date: 12-2014
DOI: 10.1142/S0129167X14501213
Abstract: In this paper, we consider the closed embedded hypersurface Σ in the warped product manifold [Formula: see text] equipped with the metric g = dr 2 + λ(r) 2 g N . We give some characterizations of slice {r} × N by the condition that Σ has constant weighted higher-order mean curvatures (λ′) α p k , or constant weighted higher-order mean curvature ratio (λ′) α p k 1 , which generalize Brendle's [Constant mean curvature surfaces in warped product manifolds, Publ. Math. Inst. Hautes Études Sci. 117 (2013) 247–269] and Brendle–Eichmair's [Isoperimetric and Weingarten surfaces in the Schwarzschild manifold, J. Differential Geom. 94(3) (2013) 387–407] results. In particular, we show that the assumption convex of Brendle–Eichmair's result [Isoperimetric and Weingarten surfaces in the Schwarzschild manifold, J. Differential Geom. 94(3) (2013) 387–407] is unnecessary. Here p k is the kth normalized mean curvature of the hypersurface Σ. As a special case, we also give some characterizations of geodesic spheres in ℝ n , ℍ n and [Formula: see text], which generalize the classical Alexandrov-type results.
Publisher: Springer Science and Business Media LLC
Date: 29-06-2021
DOI: 10.1007/S10439-021-02815-X
Abstract: The application of volar locking plate (VLP) is promising in the treatment of dorsally comminuted and displaced fracture. However, the optimal balance between the mechanical stability of VLP and the mechanobiology at the fracture site is still unclear. The purpose of this study is to develop numerical models in conjunction with experimental studies to identify the favourable mechanical microenvironment for indirect healing, by optimizing VLP configuration and post-operative loadings for different fracture geometries. The simulation results show that the mechanical behaviour of VLP is mainly governed by the axial compression. In addition, the model shows that, under relatively large gap size (i.e., 3-5 mm), the increase of FWL could enhance chondrocyte differentiation while a large BPD could compromise the mechanical stability of VLP. Importantly, bending moment produced by wrist flexion/extension and torsion moment produced from forearm rotation could potentially hinder endochondral ossification at early stage of healing. The developed model could potentially assist orthopaedic surgeons in surgical pre-planning and designing post-operation physical therapy for treatment of distal radius fractures.
Publisher: Elsevier BV
Date: 12-2022
Publisher: American Society for Microbiology
Date: 07-2011
DOI: 10.1128/JCM.00340-11
Abstract: Curtobacterium species are recognized plant pathogens. We report the first well-documented case of Curtobacterium human infection, a child with septic arthritis following puncture with a Coxspur Hawthorn plant thorn. The organism isolated from synovial tissue and the plant thorn was identified as Curtobacterium flaccumfaciens by 16S rRNA gene sequence analysis.
Publisher: American Mathematical Society (AMS)
Date: 26-05-2017
DOI: 10.1090/PROC/13628
Abstract: Let ( M n + 1 , g , e − f d μ ) (M^{n+1},g,e^{-f}d\\mu ) be a complete smooth metric measure space with 2 ≤ n ≤ 6 2\\leq n\\leq 6 and Bakry-Émery Ricci curvature bounded below by a positive constant. We prove a smooth compactness theorem for the space of complete embedded f f -minimal hypersurfaces in M M with uniform upper bounds on f f -index and weighted volume. As a corollary, we obtain a smooth compactness theorem for the space of embedded self-shrinkers in R n + 1 \\mathbb {R}^{n+1} with 2 ≤ n ≤ 6 2\\leq n\\leq 6 . We also prove some estimates on the f f -index of f f -minimal hypersurfaces.
Publisher: International Press of Boston
Date: 03-2019
Publisher: World Scientific Pub Co Pte Lt
Date: 12-2014
DOI: 10.1142/S0129167X14501213
Abstract: In this paper, we consider the closed embedded hypersurface Σ in the warped product manifold [Formula: see text] equipped with the metric g = dr 2 + λ(r) 2 g N . We give some characterizations of slice {r} × N by the condition that Σ has constant weighted higher-order mean curvatures (λ′) α p k , or constant weighted higher-order mean curvature ratio (λ′) α p k 1 , which generalize Brendle's [Constant mean curvature surfaces in warped product manifolds, Publ. Math. Inst. Hautes Études Sci. 117 (2013) 247–269] and Brendle–Eichmair's [Isoperimetric and Weingarten surfaces in the Schwarzschild manifold, J. Differential Geom. 94(3) (2013) 387–407] results. In particular, we show that the assumption convex of Brendle–Eichmair's result [Isoperimetric and Weingarten surfaces in the Schwarzschild manifold, J. Differential Geom. 94(3) (2013) 387–407] is unnecessary. Here p k is the kth normalized mean curvature of the hypersurface Σ. As a special case, we also give some characterizations of geodesic spheres in ℝ n , ℍ n and [Formula: see text], which generalize the classical Alexandrov-type results.
Publisher: Springer Science and Business Media LLC
Date: 27-01-2023
Publisher: Elsevier BV
Date: 09-2021
Publisher: Elsevier BV
Date: 02-2023
Publisher: Elsevier BV
Date: 11-2018
DOI: 10.1016/J.JSE.2018.04.017
Abstract: Rotator cuff tears following anatomic total shoulder arthroplasty increase with duration of follow-up. This study aimed to evaluate contact pressure between the rotator cuff tendons and prosthesis after anatomic total shoulder arthroplasty and compare these with the tendon-contact pressures in the native shoulder. Eight entire upper extremities were mounted onto a testing apparatus, and simulated muscle loading was applied to each rotator cuff tendon with the shoulder positioned in abduction, internal rotation, and external rotation. Pressure-sensitive film placed between each tendon and bone was used to measure the resultant tendon contact pressures. Experiments were repeated after anatomic total shoulder arthroplasty using standardized implant sizes, and pressure-sensitive film was used to evaluate tendon-prosthesis contact pressure. Both joint angle and shoulder joint replacement surgery had significant effects on the maximum contact pressure measured between the humeral head and all rotator cuff tendons (P < .05) except the teres minor. The supraspinatus demonstrated a significantly larger peak tendon contact pressure after surgery at 45° of abduction relative to that in the native shoulder (mean difference, 0.2 MPa P = .031), while the subscapularis had a significantly larger maximum contact pressure at 10° of abduction (mean difference, 0.45 MPa P = .032) and 90° of abduction (mean difference, 0.80 MPa P = .008) postoperatively. Anatomic total shoulder arthroplasty results in significantly larger tendon contact pressures relative to those in the native shoulder. High tendon contact pressures may ultimately predispose rotator cuff tendons to postoperative wear-induced damage and tearing.
Publisher: Springer Science and Business Media LLC
Date: 24-04-2017
Publisher: Springer Science and Business Media LLC
Date: 16-08-2015
Publisher: Wiley
Date: 09-1998
DOI: 10.1111/J.1445-2197.1998.TB04836.X
Abstract: Familial inheritance of slipped capital femoral epiphysis (SCFE) is known. It has not been described in non-identical twins. A family where the mother and three of five siblings developed SCFE were investigated and managed. Anthropometric measurement consisted of height-weight ratios. Serum sex hormone levels and bone Gla Protein was measured. Bone mineral densities were evaluated. The affected siblings had higher bodyweight percentiles. Other investigations were within normal limits. The unfavourable height-to-weight ratio was one of the mainstays in developing a management protocol for all siblings. The management protocol developed for the family is discussed.
Publisher: Elsevier BV
Date: 02-2023
Publisher: Springer Science and Business Media LLC
Date: 15-06-2019
Publisher: Elsevier BV
Date: 03-2014
Publisher: Springer Science and Business Media LLC
Date: 24-07-2018
Publisher: American Mathematical Society (AMS)
Date: 16-03-2016
DOI: 10.1090/PROC/13042
Abstract: In this note we discuss the problem of finding an upper bound on the length of the shortest closed geodesic in a closed Riemannian 3-manifold in terms of the volume. More precisely, we show that there exists a positive universal constant C C such that, for every Riemannian 3-manifold ( M 3 , g ) (M^3,g) with R i c g ≥ 0 Ric_g\\geq 0 , at least one of the following assertions holds: (i). S y s g ( M ) ≤ C V o l g ( M ) 1 3 Sys_g(M)\\leq C Vol_g(M)^{\\frac 13} , where S y s g ( M ) Sys_g(M) denotes the length of the shortest closed geodesic in M 3 M^3 (ii). M 3 M^3 is diffeomorphic to S 3 \\mathbb {S}^3 and there exists a closed minimal surface Σ 0 \\Sigma _0 embedded in M 3 M^3 , with index 1, and A g ( Σ 0 ) ≤ C V o l g ( M ) 2 3 A_g(\\Sigma _0)\\leq C Vol_g(M)^{\\frac {2}{3}} . This gives a partial answer to the problem proposed in Gromov’s paper written in 1983.
Publisher: Wiley
Date: 26-04-2021
DOI: 10.1002/CNM.3466
Abstract: Bone fracture treatments using Ilizarov circular fixator (ICF) involve dealing with uncertainties about a range of critical factors that control the mechanical microenvironment of the fracture site such as ICF configuration, fracture gap size, physiological loading etc. To date, the effects of the uncertainties about these critical factors on the mechanical microenvironment of the fracture site have not been fully understood. The purpose of this study is to tackle this challenge by using computational modelling in conjunction with engineering reliability analysis. Particularly, the effects of uncertainties in fracture gap size (GS), level of weight‐bearing (P), ICF wire pretension (T) and wire diameter (WD) on the fracture site mechanical microenvironment at the beginning of the reparative phase of healing was investigated in this study. The results show that the mechanical microenvironment of fracture site stabilised with ICF is very sensitive to the uncertainties in P and GS. For ex le, an increase in the coefficient of variation of P ( COV P ) from 0.1 to 0.9 (i.e., an increase in the uncertainty in P) could reduce the probability of achieving a favourable mechanical microenvironment within the fracture site (i.e., Probability of Success, PoS) by more than 50%, while an increase in the coefficient of variation of GS ( COV GS ) from 0.1 to 0.9 could decrease PoS by around 30%. In contrast, an increase in the uncertainties in T and WD ( COV increase from 0.1 to 0.9) has little influence on the fracture site mechanical microenvironment (PoS changes %).
Publisher: Springer Science and Business Media LLC
Date: 24-07-2021
DOI: 10.1007/S00402-021-04062-0
Abstract: Data from clinical trials suggest that CT-confirmed nondisplaced scaphoid waist fractures heal with less than the conventional 8–12 weeks of immobilization. Barriers to adopting shorter immobilization times in clinical practice may include a strong influence of fracture tenderness and radiographic appearance on decision-making. This study aimed to investigate (1) the degree to which surgeons use fracture tenderness and radiographic appearance of union, among other factors, to decide whether or not to recommend additional cast immobilization after 8 or 12 weeks of immobilization (2) identify surgeon factors associated with the decision to continue cast immobilization after 8 or 12 weeks. In a survey-based study, 218 surgeons reviewed 16 patient scenarios of CT-confirmed nondisplaced waist fractures treated with cast immobilization for 8 or 12 weeks and recommended for or against additional cast immobilization. Clinical variables included patient sex, age, a description of radiographic fracture consolidation, fracture tenderness and duration of cast immobilization completed (8 versus 12 weeks). To assess the impact of clinical factors on recommendation to continue immobilization we calculated posterior probabilities and determined variable importance using a random forest algorithm. Multilevel logistic mixed regression analysis was used to identify surgeon characteristics associated with recommendation for additional cast immobilization. Unclear fracture healing on radiographs, fracture tenderness and 8 (versus 12) weeks of completed cast immobilization were the most important factors influencing surgeons’ decision to recommend continued cast immobilization. Women surgeons (OR 2.96 95% CI 1.28–6.81, p = 0.011), surgeons not specialized in orthopedic trauma, hand and wrist or shoulder and elbow surgery (categorized as ‘other’) (OR 2.64 95% CI 1.31–5.33, p = 0.007) and surgeons practicing in the United States (OR 6.53, 95% CI 2.18–19.52, p = 0.01 versus Europe) were more likely to recommend continued immobilization. Adoption of shorter immobilization times for CT-confirmed nondisplaced scaphoid waist fractures may be hindered by surgeon attention to fracture tenderness and radiographic appearance.
Publisher: Springer Science and Business Media LLC
Date: 08-03-2018
Publisher: Oxford University Press (OUP)
Date: 02-04-2014
DOI: 10.1093/IMRN/RNU052
Publisher: Springer Science and Business Media LLC
Date: 12-09-2022
Publisher: Springer Science and Business Media LLC
Date: 16-08-2019
Publisher: Mathematical Sciences Publishers
Date: 06-08-2015
Publisher: Mathematical Society of Japan (Project Euclid)
Date: 07-2014
Publisher: American Mathematical Society (AMS)
Date: 20-05-2014
DOI: 10.1090/S0002-9939-2014-12037-5
Abstract: We obtain a Calabi-Yau type volume growth estimate for complete noncompact self-shrinkers of the mean curvature flow. More precisely, every complete noncompact properly immersed self-shrinker has at least linear volume growth.
Publisher: International Press of Boston
Date: 02-2021
Publisher: Springer Science and Business Media LLC
Date: 25-09-2013
Publisher: American Mathematical Society (AMS)
Date: 20-05-2014
DOI: 10.1090/S0002-9939-2014-12037-5
Abstract: We obtain a Calabi-Yau type volume growth estimate for complete noncompact self-shrinkers of the mean curvature flow. More precisely, every complete noncompact properly immersed self-shrinker has at least linear volume growth.
Publisher: Elsevier BV
Date: 04-2022
Publisher: American Mathematical Society (AMS)
Date: 26-05-2017
DOI: 10.1090/PROC/13628
Abstract: Let ( M n + 1 , g , e − f d μ ) (M^{n+1},g,e^{-f}d\\mu ) be a complete smooth metric measure space with 2 ≤ n ≤ 6 2\\leq n\\leq 6 and Bakry-Émery Ricci curvature bounded below by a positive constant. We prove a smooth compactness theorem for the space of complete embedded f f -minimal hypersurfaces in M M with uniform upper bounds on f f -index and weighted volume. As a corollary, we obtain a smooth compactness theorem for the space of embedded self-shrinkers in R n + 1 \\mathbb {R}^{n+1} with 2 ≤ n ≤ 6 2\\leq n\\leq 6 . We also prove some estimates on the f f -index of f f -minimal hypersurfaces.
Publisher: Elsevier BV
Date: 11-2023
Publisher: Springer Science and Business Media LLC
Date: 30-01-2017
Publisher: Wiley
Date: 18-06-2019
DOI: 10.1002/JOR.24335
Abstract: Changes in joint architecture and muscle loading resulting from total shoulder arthroplasty (TSA) and reverse total shoulder arthroplasty (RSA) are known to influence joint stability and prosthesis survivorship. This study aimed to measure changes in muscle moment arms, muscle lines of action, as well as muscle and joint loading following TSA and RSA using a metal-backed uncemented modular shoulder prosthesis. Eight cadaveric upper extremities were assessed using a customized testing rig. Abduction, flexion, and axial rotation muscle moment arms were quantified using the tendon-excursion method, and muscle line-of-force directions evaluated radiographically pre-operatively, and after TSA and revision RSA. Specimen-specific musculoskeletal models were used to estimate muscle and joint loading pre- and post-operatively. TSA lateralized the glenohumeral joint center by 4.3 ± 3.2 mm, resulting in small but significant increases in middle deltoid force (2.0%BW) and joint compression during flexion (2.1%BW) (p < 0.05). Revision RSA significantly increased the moment arms of the major abductors, flexors, adductors, and extensors, and reduced their peak forces (p < 0.05). The superior inclination of the deltoid significantly increased while the inferior inclination of the rotator cuff muscles decreased (p < 0.05). TSA using an uncemented metal-backed modular shoulder prosthesis effectively restores native joint function however, lateralization of the glenoid component should be minimized intra-operatively to mitigate increased glenohumeral joint loading and polyethylene liner contact stresses. Revision RSA reduces muscle forces required during shoulder function but produces greater superior joint shear force and less joint compression. The findings may help to guide component selection and placement to mitigate joint instability after arthroplasty. © 2019 Orthopaedic Research Society. Published by Wiley Periodicals, Inc. J Orthop Res 37:1988-2003, 2019.
Publisher: Springer Science and Business Media LLC
Date: 17-02-2013
Publisher: ASME International
Date: 25-03-2019
DOI: 10.1115/1.4043037
Abstract: Early weight bearing appears to enhance bone fracture healing under Ilizarov circular fixators (ICFs). However, the role of early weight bearing in the healing process remains unclear. This study aims to provide insights into the effects of early weight bearing on healing of bone fractures stabilized with ICFs, with the aid of mathematical modeling. A computational model of fracture site was developed using poro-elastic formulation to simulate the transport of mesenchymal stem cells (MSCs), fibroblasts, chondrocytes, osteoblasts, osteogenic growth factor (OGF), and chondrogenic growth factor (CGF) and MSC differentiation during the early stage of healing, under various combinations of fracture gap sizes (GS), ICF wire pretension forces, and axial loads. 1 h of physiologically relevant cyclic axial loading followed by 23 h of rest in the post-inflammation phase (i.e., callus with granulation tissue) was simulated. The results show that physiologically relevant dynamic loading could significantly enhance cell and growth factor concentrations in the fracture site in a time and spatially dependent manner. 1 h cyclic loading (axial load with litude, PA, of 200 N at 1 Hz) increased the content of chondrocytes up to 37% (in all zones of callus), CGF up to 28% (in endosteal and periosteal callus) and OGF up to 50% (in endosteal and cortical callus) by the end of the 24 h period simulated. This suggests that the synergistic effect of dynamic loading-induced advective transport and mechanical stimuli due to early weight bearing is likely to enhance secondary healing. Furthermore, the study suggests that relatively higher PA values or lower ICF wire pretension forces or smaller GS could result in increased chondrocyte and GF content within the callus.
Publisher: Wiley
Date: 15-04-2019
DOI: 10.1002/CNM.3199
Abstract: This study aims to enhance the understanding of the relationship between Ilizarov fixator configuration and its effects on bone fracture healing. Using Taylor spatial frame (TSF) as an ex le, the roles of critical parameters (ie, TSF ring diameter, wire pre-tension, fracture gap size, and axial load) that govern fracture healing during the early stages were investigated by using computational modelling in conjunction with mechanical testing involving an advanced 3D optical measurement system. The computational model was first validated using the mechanical test results and then used to simulate mesenchymal stem cell (MSC) differentiations within different regions of the fracture site under various combinations of TSF ring diameter, wire pre-tension, fracture gap size, and axial load values. Predicted spatially dependent MSC differentiation patterns and the influence of each parameter on differentiations were compared with in vivo results, and good agreement was seen between the two. Gap size was identified as the most influential parameter in MSC differentiation, and the influence of axial loading and TSF configuration (ie, ring diameter and wire pre-tension) on cell differentiation was seen to be gap size dependent. Most changes in cell differentiation were predicted in the external callus (periosteal), which is the crucial region of the callus in the early stages. However, for small gap sizes (eg, 1 mm), significant changes were predicted in the endosteal callus as well. The study exhibits the potential of computational models in assessing the performance of Ilizarov fixators as well as assisting surgeons in patient-specific clinical treatment planning.
Publisher: Springer Science and Business Media LLC
Date: 21-05-2015
Publisher: International Press of Boston
Date: 2014
Publisher: Springer Science and Business Media LLC
Date: 10-08-2023
Publisher: Oxford University Press (OUP)
Date: 14-06-2016
DOI: 10.1093/IMRN/RNW100
Location: United Kingdom of Great Britain and Northern Ireland
Start Date: 2019
End Date: 2021
Funder: Australian Research Council
View Funded ActivityStart Date: 2019
End Date: 02-2020
Amount: $336,174.00
Funder: Australian Research Council
View Funded Activity