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Malformations of the cerebral cortex known as cortical dysplasia account for the majority of cases of intractable childhood epilepsy. With the exception of the tuberous sclerosis complex, the molecular basis of most types of cortical dysplasia is completely unknown. Currently, there are no good animal models available that recapitulate key features of the(More)
Electronic structure calculations have become an indispensable tool in many areas of materials science and quantum chemistry. Even though the Kohn-Sham formulation of the density-functional theory (DFT) simplifies the many-body problem significantly, one is still confronted with several numerical challenges. In this article we present the projector(More)
OBJECTIVE The cortex of patients with cortical dysplasia contains several abnormal cell types. Among the dysplastic cells, cytomegalic neurons are known to be electrically hyperactive and may contribute to epileptic activity. In this study, we sought to identify molecular markers of cytomegalic neurons in focal or hemispheric cortical dysplasia and to(More)
Very-low-density lipoprotein receptor (VLDLR) is a multi ligand apolipoprotein E (apoE) receptor and is involved in brain development through Reelin signaling. Different forms of VLDLR can be generated by alternative splicing. VLDLR-I contains all exons. VLDLR-II lacks an O-linked sugar domain encoded by exon 16, while VLDLR-III lacks the third(More)
This is a status report of a long-term research eeort focusing on object-oriented modeling of parallel PDE solvers, based on nite diierence methods on composite, structured grids. Two previous results of this eeort are reviewed, the class libraries Cogito and Compose. Cogito is implemented in Fortran 90, with MPI for the message passing, and provides(More)
The use of the generalized Fourier transform as a means to diagonalize certain types of equivariant matrices, and thus speeding up the solution of numerical systems, is discussed. Such matrices may arise in various applications with geometrical symmetries, for example when the boundary element method is used to solve an electrostatic problem in the exterior(More)
Symmetry exploiting software based on the generalized Fourier transform (GFT) is presented from a practical design point of view. The algorithms and data structures map closely to the relevant mathematical abstractions, which primarily are based upon representation theory for groups. Particular care has been taken in the design of the data layout of the(More)
Computer simulations are a cost efficient complement to laboratory experiments. Software for the solution of partial differential equations is part of the basic infrastructure for the evolving field of Computational Science and Engineering. Numerical analysts are involved in the development of suitable methods and algorithms for the solution of a wide range(More)