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A Natural Decomposition Method for Essential Boundary Conditions in Noninterpolatory Meshfree Spaces

arXiv:2606.07281v1 Announce Type: new Abstract: This paper develops a natural decomposition method (NDM)for imposing essential boundary conditions in noninterpolatory meshfree Galerkin spaces without boundary parameter tuning or auxiliary constraint construction. In such spaces, algebraic coefficients generally do not coincide with boundary values; hence coefficient assignment or nodal boundary prescription is not equivalent to imposing the continuous trace required by the variational problem.

arXiv CS 2d ago

SC-TauPath: A Structural Connectivity Attribution Framework for Mapping Tau Propagation Pathways in Alzheimer's Disease

arXiv:2606.04066v1 Announce Type: cross Abstract: Understanding how structural connections are associated with tau propagation in Alzheimer's disease (AD) remains a central open question, yet existing computational models either rely heavily on biophysical assumptions or lack neurobiologically interpretable pathway maps. We present SC-TauPath, a structural connectivity (SC) attribution framework that maps tau propagation pathways from in vivo neuroimaging data. SC-TauPath combines a Network...

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Variable zinc concentrations among commercially available Mueller-Hinton Broth brands affects SIR interpretations during broth microdilution in vitro antimicrobial susceptibility testing with the novel metallo-beta-lactamase inhibitor APC148

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