Introduction: A large body of evidence points to oxidative stress as prime candidate mediating the behavioral impairments and memory deficits in Alzheimer's disease (AD). It has been demonstrated that hyperoxia preconditioning activates complex endogenous neuroprotective mechanisms including an increase in capacity of antioxidant defence mechanisms. The aim of this study was to investigate the ...

The simulation of mixed-dimensional couplings poses a variety computational challenges in order to enable accurate modeling and efficient solution problems science, engineering biomedicine. In this contribution, we study bottlenecks the coupled beam/solid systems discuss possible remedies allow large-scale computations applications structural engineering. particular, address questions memory co...

We discuss certain preconditioning techniques for solving indefinite linear systems of equations arising from mixed finite element discretizations of elliptic equations of second order. The techniques are based on various approximations of the mass matrix, say, by simply lumping it to be diagonal or by constructing a diagonal matrix assembled of properly scaled lumped element mass matrices. We ...

Preconditioning with brief ischemia before a sustained period of ischemia reduces infarct size in the perfused heart. A cultured chick ventricular myocyte model was developed to investigate the role of adenosine receptor subtypes in cardiac preconditioning. Brief hypoxic exposure, termed preconditioning hypoxia, prior to prolonged hypoxia, protected myocytes against injury induced by the prolon...

For the iterative solutions of the integral equation methods employing the multilevel fast multipole algorithm (MLFMA), effective preconditioning techniques should be developed for robustness and efficiency. Preconditioning techniques for such problems can be broadly classified as fixed preconditioners that are generated from the sparse near-field matrix and variable ones that can make use of M...

Element-wise techniques based on SVD or QR Decomposition completely get rid of the usual ill-conditioning inherent to plane-wave discretizations Ultra-Weak Variational Formulation (UWVF) for Helmholtz equation. Associated preconditioning strategies lead very low condition numbers corresponding linear system matrices, without any limitation number plane waves per element. In addition, some these...

This paper studies a number of Newton methods and use them to define new secondary linear systems of equations for the Davidson eigenvalue method. The new secondary equations avoid some common pitfalls of the existing ones such as the correction equation and the Jacobi-Davidson preconditioning. We will also demonstrate that the new schemes can be used efficiently in test problems.