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| 1 | Focal adhesion protein Kindlin-2 regulates bone homeostasis in mice显示文摘Our recent studies demonstrate that the focal adhesion protein Kindlin-2 is critical for chondrogenesis and early skeletal development. Here, we show that deleting Kindlin-2 from osteoblasts using the 2.3-kb mouse Col1 a1-Cre transgene minimally impacts bone mass in mice, but deleting Kindlin-2 using the 10-kb mouse Dmp1-Cre transgene, which targets osteocytes and mature osteoblasts, results in striking osteopenia in mice. Kindlin-2 loss reduces the osteoblastic population but increases the osteoclastic and adipocytic populations in the bone microenvironment. Kindlin-2 loss upregulates sclerostin in osteocytes,downregulates β-catenin in osteoblasts, and inhibits osteoblast formation and differentiation in vitro and in vivo. Upregulation ofβ-catenin in the mutant cells reverses the osteopenia induced by Kindlin-2 deficiency. Kindlin-2 loss additionally increases the expression of RANKL in osteocytes and increases osteoclast formation and bone resorption. Kindlin-2 deletion in osteocytes promotes osteoclast formation in osteocyte/bone marrow monocyte cocultures, which is significantly blocked by an anti-RANKLneutralizing antibody. Finally, Kindlin-2 loss increases osteocyte apoptosis and impairs osteocyte spreading and dendrite formation.Thus, we demonstrate an important role of Kindlin-2 in the regulation of bone homeostasis and provide a potential target for the treatment of metabolic bone diseases. | Huiling Cao Qinnan Yan Dong Wang Yumei Lai Bo Zhou Qi Zhang Wenfei Jin Simin Lin Yiming Lei Liting Ma Yuxi Guo Yishu Wang Yilin Wang Xiaochun Bai Chuanju Liu Jian QFeng Chuanyue Wu Di Chen Xu Cao Guozhi Xiao | 2020 | Bone Research2020，8，1： | 8 |
| 2 | LIM domain proteins Pinch1/2 regulate chondrogenesis and bone mass in mice显示文摘The LIM domain-containing proteins Pinch1/2 regulate integrin activation and cell–extracellular matrix interaction and adhesion.Here,we report that deleting Pinch1 in limb mesenchymal stem cells(MSCs)and Pinch2 globally(double knockout;dKO)in mice causes severe chondrodysplasia,while single mutant mice do not display marked defects.Pinch deletion decreases chondrocyte proliferation,accelerates cell differentiation and disrupts column formation.Pinch loss drastically reduces Smad2/3 protein expression in proliferative zone(PZ)chondrocytes and increases Runx2 and Col10a1 expression in both PZ and hypertrophic zone(HZ)chondrocytes.Pinch loss increases sclerostin and Rankl expression in HZ chondrocytes,reduces bone formation,and increases bone resorption,leading to low bone mass.In vitro studies revealed that Pinch1 and Smad2/3 colocalize in the nuclei of chondrocytes.Through its C-terminal region,Pinch1 interacts with Smad2/3 proteins.Pinch loss increases Smad2/3 ubiquitination and degradation in primary bone marrow stromal cells(BMSCs).Pinch loss reduces TGF-β-induced Smad2/3 phosphorylation and nuclear localization in primary BMSCs.Interestingly,compared to those from single mutant mice,BMSCs from dKO mice express dramatically lower protein levels ofβ-catenin and Yap1/Taz and display reduced osteogenic but increased adipogenic differentiation capacity.Finally,ablating Pinch1 in chondrocytes and Pinch2 globally causes severe osteopenia with subtle limb shortening.Collectively,our findings demonstrate critical roles for Pinch1/2 and a functional redundancy of both factors in the control of chondrogenesis and bone mass through distinct mechanisms. | Yiming Lei Xuekun Fu Pengyu Li Sixiong Lin Qinnan Yan Yumei Lai Xin Liu Yishu Wang Xiaochun Bai Chuanju Liu Di Chen Xuenong Zou Xu Cao Huiling Cao Guozhi Xiao | 2020 | Bone Research2020，8，4： | 2 |
| 3 | Spectral Optimization Methods for the Time Fractional Diffusion Inverse Problem显示文摘An inverse problem of reconstructing the initial condition for a time fractional diffusion equation is investigated.On the basis of the optimal control framework,the uniqueness and first order necessary optimality condition of the minimizer for the objective functional are established,and a time-space spectral method is proposed to numerically solve the resulting minimization problem.The contribution of the paper is threefold:1)a priori error estimate for the spectral approximation is derived;2)a conjugate gradient optimization algorithm is designed to efficiently solve the inverse problem;3)some numerical experiments are carried out to show that the proposed method is capable to find out the optimal initial condition,and that the convergence rate of the method is exponential if the optimal initial condition is smooth. | Xingyang Ye Chuanju Xu | 2013 | Numerical Mathematics(Theory,Methods and Applications)2013，6，3： | 2 |
| 4 | A High Order Schema for the Numerical Solution of the Frac- tional Ordinary Differential Equations显示文摘 | Cao Junying Xu Chuanju | 2013 | Journal of Computational Physics2013，238，15： | 1 |
| 5 | On a Strongly Damped Wave Equation for the Flame Front显示文摘In two-dimensional free-interface problems, the front dynamics can be modeled by single parabolic equations such as the Kuramoto-Sivashinsky equation (K-S). However, away from the stability threshold, the structure of the front equation may be more involved. In this paper, a generalized K-S equation, a nonlinear wave equation with a strong damping operator, is considered. As a consequence, the associated semigroup turns out to be analytic. Asymptotic convergence to K-S is shown, while numerical results illustrate the dynamics. | Claude-Michel BRAUNER Luca LORENZI Gregory I. SIVASHINSKY Chuanju XU | 2010 | Chinese Annals of Mathematics,Series B2010，31，6： | 1 |
| 6 | Existence and Uniqueness of the Weak Solution of the Space-Time Fractional Diffusion Equation and a Spectral Method Approximation显示文摘In this paper,we investigate initial boundary value problems of the spacetime fractional diffusion equation and its numerical solutions.Two definitions,i.e.,Riemann-Liouville definition and Caputo one,of the fractional derivative are considered in parallel.In both cases,we establish the well-posedness of the weak solution.Moveover,based on the proposed weak formulation,we construct an efficient spectral method for numerical approximations of the weak solution.The main contribution of this work are threefold:First,a theoretical framework for the variational solutions of the space-time fractional diffusion equation is developed.We find suitable functional spaces and norms in which the space-time fractional diffusion problem can be formulated into an elliptic weak problem,and the existence and uniqueness of the weak solution are then proved by using existing theory for elliptic problems.Secondly,we show that in the case of Riemann-Liouville definition,the well-posedness of the space-time fractional diffusion equation does not require any initial conditions.This contrasts with the case of Caputo definition,in which the initial condition has to be integrated into the weak formulation in order to establish the well-posedness.Finally,thanks to the weak formulation,we are able to construct an efficient numerical method for solving the space-time fractional diffusion problem. | Xianjuan Li Chuanju Xu | 2010 | Communications in Computational Physics2010，8，10： | 1 |
| 7 | Finite difference/spectral ap- proximations for the time-fractional diffusion euqation 显示文摘 | Lin Yumin Xu Chuanju | 2007 | J Comput Phys2007，225，2： | 1 |
| 8 | A space-time spectral method for the time fractional diffusion equation显示文摘 | Li Xianjuan Xu Chuanju | 2009 | SIAM J Nu- mer Anal2009，47，3： | 1 |
| 9 | An efficient method for the Navier-Stokes/Euler coupled equations via a collocation approximation显示文摘 | Xu Chuanju | 2000 | SIAM J Numer Anal2000，38，： | 1 |
| 10 | Stability analysis of large time-stepping methods for epitaxial growth models显示文摘 | Xu Chuanju Tang Tao | 2006 | SIAM J Numer Anal2006，，44： | 1 |
| 11 | A Unstructured Nodal Spectral-Element Method for the Navier-Stokes Equations显示文摘An unstructured nodal spectral-elementmethod for theNavier-Stokes equations is developed in this paper.The method is based on a triangular and tetrahedral rational approximation and an easy-to-implement nodal basis which fully enjoys the tensorial product property.It allows arbitrary triangular and tetrahedralmesh,affording greater flexibility in handling complex domains while maintaining all essential features of the usual spectral-element method.The details of the implementation and some numerical examples are provided to validate the efficiency and flexibility of the proposed method. | Lizhen Chen Jie Shen Chuanju Xu | 2012 | Communications in Computational Physics2012，12，6： | 1 |
| 12 | Numerical approximation of acoustic by spectral element methods 显示文摘 | RONG Zhijian XU Chuanju | 2008 | Applied Numerical Mathematics2008，58，： | 1 |
| 13 | A Stable Arbitrarily High Order Time-Stepping Method for Thermal Phase Change Problems显示文摘Thermal phase change problems are widespread in mathematics,nature,and science.They are particularly useful in simulating the phenomena of melting and solidification in materials science.In this paper we propose a novel class of arbitrarily high-order and unconditionally energy stable schemes for a thermal phase changemodel,which is the coupling of a heat transfer equation and a phase field equation.The unconditional energy stability and consistency error estimates are rigorously proved for the proposed schemes.A detailed implementation demonstrates that the proposed method requires only the solution of a system of linear elliptic equations at each time step,with an efficient scheme of sufficient accuracy to calculate the solution at the first step.It is observed from the comparison with the classical explicit Runge-Kutta method that the new schemes allow to use larger time steps.Adaptive time step size strategies can be applied to further benefit from this unconditional stability.Numerical experiments are presented to verify the theoretical claims and to illustrate the accuracy and effectiveness of our method. | Weiwen Wang Chuanju Xu | 2023 | Communications in Computational Physics2023，33，2： | 1 |
| 14 | A Triangular Spectral Method for the Stokes Equations显示文摘A triangular spectral method for the Stokes equations is developed in this paper.The main contributions are two-fold:First of all,a spectral method using the rational approximation is constructed and analyzed for the Stokes equations in a triangular domain.The existence and uniqueness of the solution,together with an error estimate for the velocity,are proved.Secondly,a nodal basis is constructed for the efficient implementation of the method.These new basis functions enjoy the fully tensorial product property as in a tensor-produce domain.The new triangular spectral method makes it easy to treat more complex geometries in the classical spectral-element framework,allowing us to use arbitrary triangular and tetrahedral elements. | Lizhen Chen Jie Shen Chuanju Xu | 2011 | Numerical Mathematics(Theory,Methods and Applications)2011，4，2： | 1 |
| 15 | A IP_N×IP_N Spectral Element Projection Method for the Unsteady Incompressible Navier-Stokes Equations显示文摘In this paper,we present a IP_N×IP_N spectral element method and a detailed comparison with existing methods for the unsteady incompressible Navier-Stokes equa- tions.The main purpose of this work consists of:(i) detailed comparison and discussion of some recent developments of the temporal discretizations in the frame of spectral el- ement approaches in space;(ii) construction of a stable IP_N×IP_N method together with a IP_N→IP_(N-2) post-filtering.The link of different methods will be clarified.The key feature of our method lies in that only one grid is needed for both velocity and pressure variables,which differs from most well-known solvers for the Navier-Stokes equations. Although not yet proven by rigorous theoretical analysis,the stability and accuracy of this one-grid spectral method are demonstrated by a series of numerical experiments. | Zhijian Rong Chuanju Xu | 2008 | Numerical Mathematics(Theory,Methods and Applications)2008，1，3： | 1 |
| 16 | A Numerical Comparison of Outflow Boundary Conditions for Spectral Element Simulations of Incompressible Flows显示文摘Outflow boundary conditions(OBCs)are investigated for calculation of incompressible flows by spectral element methods.Several OBCs,including essentialtype,natural-type,periodic-type and advection-type,are compared by carrying out a series of numerical experiments.Especially,a simplified form of the so-called Orlanski’s OBCs is proposed in the context of spectral element methods,for which a new treatment technique is used.The purpose of this paper is to find stable low-reflective OBCs,suitable and flexible for use of spectral element methods in simulation of incompressible flows in complex geometries.The computation is firstly carried out for a 2D simulation of Poiseuille-B´enard channel flow with Re=10,Ri=150 and Pr=2/3.This flow serves as a useful example to demonstrate the applicability of the proposed OBCs because it exhibits a feature of vortex shedding propagating through the outflow boundary.Then a 3D flow around an obstacle is computed to show the efficiency in the case of more general geometries.Among the tested OBCs,the advection-type OBCs are proven to have better behavior as compared with the others. | Chuanju Xu Yumin Lin | 2007 | Communications in Computational Physics2007，2，3： | 0 |
| 17 | Analysis of a system of autonomous fractional differential equations显示文摘 | Xiaojun Zhou Chuanju Xu | 2017 | International Journal of Biomathematics2017，10，7： | 0 |
| 18 | Well-posedness of a kind of nonlinear coupled system of fractional differential equations显示文摘We study the boundary value problem of a coupled differential system of fractional order, and prove the existence and uniqueness of solutions to the considered problem. The underlying differential system is featured by a fractional differential operator, which is defined in the Riemann-Liouville sense, and a nonlinear term in which different solution components are coupled. The analysis is based on the reduction of the given system to an equivalent system of integral equations. By means of the nonlinear alternative of Leray-Schauder,the existence of solutions of the factional differential system is obtained. The uniqueness is established by using the Banach contraction principle. | ZHOU XiaoJun XU ChuanJu | 2016 | Science China Mathematics2016，59，6： | 0 |
| 19 | A Spectral Element/Laguerre Coupled Method to the Elliptic Helmholtz Problem on the Half Line显示文摘A Legendre spectral element/Laguerre coupled method is proposed to numerically solve the elliptic Helmholtz problem on the half line. Rigorous analysis is carried out to establish the convergence of the method. Several numerical examples are provided to confirm the theoretical results. The advantage of this method is demonstrated by a numerical comparison with the pure Laguerre method. | Qingqu Zhuang Chuanju Xu | 2006 | Numerical Mathematics A Journal of Chinese Universities(English Series)2006，15，3： | 0 |
| 20 | A Posteriori Error Estimation of Spectral and Spectral Element Methods for the Stokes/Darcy Coupled Problem显示文摘In this paper,we carry out an a posteriori error analysis of Legendre spectral approximations to the Stokes/Darcy coupled equations.The spectral approximations are based on aweak formulation of the coupled equations by using the Beavers-Joseph-Saffman interface condition.The main contribution of the paper consists of deriving a number of posteriori error indicators and their upper and lower bounds for the single domain case.An extension of the upper bounds to the multi-domain case in the spectral element framework is also given. | Weiwei Wang Chuanju Xu | 2014 | Journal of Mathematical Study2014，47，1： | 0 |
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