William McLean

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Angiogenesis is an essential component of skeletal development and VEGF signaling plays an important if not pivotal role in this process. Previous attempts to examine the roles of VEGF in vivo have been largely unsuccessful because deletion of even one VEGF allele leads to embryonic lethality before skeletal development is initiated. The availability of(More)
OBJECTIVES Despite advances in recent years, asthma morbidity and mortality have been noted to be on the increase in the past decade. The present study examined the failures and recommendations of past studies and introduced a new milieu for asthma care--the community pharmacy. The study incorporated a care protocol with the important ingredients of asthma(More)
We consider an initial-boundary value problem for ∂tu−∂ t ∇2u = f(t), that is, for a fractional diffusion (−1 < α < 0) or wave (0 < α < 1) equation. A numerical solution is found by applying a piecewise-linear, discontinuous Galerkin (DG) method in time combined with a piecewiselinear, conforming finite element method in space. The time mesh is graded(More)
In a previous paper, McLean and Thomée (to appear), we studied three numerical methods for the discretization in time of a fractional order evolution equation, in a Banach space framework. Each of the methods applied a quadrature rule to a contour integral representation of the solution in the complex plane, where for each quadrature point an elliptic(More)
We employ a piecewise-constant, discontinuous Galerkin method for the time discretization of a sub-diffusion equation. Denoting the maximum time step by k, we prove an a priori error bound of order k under realistic assumptions on the regularity of the solution. We also show that a spatial discretization using continuous, piecewise-linear finite elements(More)
Ephs and ephrins are cell surface receptors that bind to each other and initiate distinct, bidirectional signalling pathways in processes known as forward (Eph) and reverse (ephrin) signalling. Previous work had shown that the loss of ephrinB1 protein alone or compound loss of EphB2 and EphB3 leads to cleft palate. Because of the bidirectional signalling(More)