Wnts are secreted glycoproteins that control vital biological processes, including embryogenesis, organogenesis and tumorigenesis. Wnts are classified into several subfamilies depending on the signaling pathways they activate, with the canonical subfamily activating the Wnt/beta-catenin pathway and the non-canonical subfamily activating a variety of other pathways, including the Wnt/calcium signaling and the small GTPase/c-Jun NH2-terminal kinase pathway. Wnts bind to a membrane receptor Frizzled and a co-receptor, the low-density lipoprotein receptor related protein. More recently, both canonical and non-canonical Wnts were shown to bind the Ror2 receptor tyrosine kinase. Ror2 is an orphan receptor that plays crucial roles in skeletal morphogenesis and promotes osteoblast differentiation and bone formation. Here we examine the effects of a canonical Wnt3a and a non-canonical Wnt5a on the signaling of the Ror2 receptor. We demonstrate that even though both Wnt5a and Wnt3a bound Ror2, only Wnt5a induced Ror2 homo-dimerization and tyrosine phosphorylation in U2OS human osteoblastic cells. Furthermore, Wnt5a treatment also resulted in increased phosphorylation of the Ror2 substrate, 14-3-3beta scaffold protein, indicating that Wnt5a binding causes activation of the Ror2 signaling cascade. Functionally, Wnt5a recapitulated the Ror2 activation phenotype, enhancing bone formation in the mouse calvarial bone explant cultures and potentiating osteoblastic differentiation of human mesenchymal stem cells. The effect of Wnt5a on osteoblastic differentiation was largely abolished upon Ror2 down-regulation. Thus we show that Wnt5a activates the classical receptor tyrosine kinase signaling cascade through the Ror2 receptor in cells of osteoblastic origin.
We study the Radon transform Rf of functions on Stiefel and Grassmann manifolds. We establish a connection between Rf and Gårding-Gindikin fractional integrals associated to the cone of positive definite matrices. By using this connection, we obtain Abel-type representations and explicit inversion formulae for Rf and the corresponding dual Radon transform. We work with the space of continuous functions and also with L p spaces.
We present generalizations of the Busemann-Petty problem for dual volumes of intermediate central sections of symmetric convex bodies. It is proved that the answer is negative when the dimension of the sections is greater than or equal to 4. For two-threedimensional sections, both negative and positive answers are given depending on the orders of dual volumes involved, and certain cases remain open. For bodies of revolution, a complete solution is obtained in all dimensions. r
scite is a Brooklyn-based organization that helps researchers better discover and understand research articles through Smart Citations–citations that display the context of the citation and describe whether the article provides supporting or contrasting evidence. scite is used by students and researchers from around the world and is funded in part by the National Science Foundation and the National Institute on Drug Abuse of the National Institutes of Health.