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The potential for biased signalling in the P2Y receptor family of GPCRs
The purinergic receptor family is primarily activated by nucleotides, and contains members of both the G protein coupled‐receptor (GPCR) superfamily (P1 and P2Y) and ligand‐gated ion channels (P2X). The P2Y receptors are widely expressed in the human body, and given the ubiquitous nature of nucleotides, purinergic signalling is involved with a plethora
Claudia M. Sisk +2 more
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Computing Skinning Weights via Convex Duality
We present an alternate optimization method to compute bounded biharmonic skinning weights. Our method relies on a dual formulation, which can be optimized with a nonnegative linear least squares setup. Abstract We study the problem of optimising for skinning weights through the lens of convex duality.
J. Solomon, O. Stein
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Interface evolution with Neumann boundary condition
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Roughness effect on Neumann boundary condition [PDF]
We study the effect of a periodic roughness on a Neumann boundary condition. We show that, as in the case of a Dirichlet boundary condition, it is possible to approach this condition by a more complex law on a domain without rugosity, called wall law. This approach is however different from that usually used in Dirichlet case.
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Homogenization of Stokes with Neumann condition on oscillating boundary
Asymptotic Analysis, 2019The stationary Stokes problem in a n-dimensional domain with a rapidly oscillating [Formula: see text] dimensional boundary prescribed with Neumann boundary condition and periodicity along the lateral sides is considered. We identify the limit equation in a fixed domain with a one dimensional Laplacian-type problem, satisfied on the region covered by ...
Thirumalai Nambi Muthukumar +1 more
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A new straightforward approach for solving ordinary and partial second-order boundary value problems with Neumann boundary conditions is introduced in this research.
Emad H Aly +2 more
exaly +2 more sources
International audienceWe study the properties of an approximation of the Laplace operator with Neumann boundary conditions using volume penalization.
Dmitry Kolomenskiy +2 more
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Dirichlet and Neumann boundary conditions: What is in between?
Journal of Evolution Equations, 2003Given an open set \(\Omega\) in \(\mathbb{R}^n\), an admissible measure on \(\partial \Omega\) is a Radon measure \(\mu\) on the Borel \(\sigma\)-field of some open subset \(\Gamma_{\mu}\) of \(\partial \Omega\) which does not charge sets of capacity zero.
Arendt, Wolfgang, Warma, Mahamadi
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Differaction for a neumann boundary condition
Communications in Partial Differential Equations, 1997Let be a bounded open set in Rn and P be a constant coefficient operator of order 2 in Rn X Rt such that admits a strictly diffractive point. We calculate in this paper the principal symbol of the operatorK& transforming for a solution in the neighborhood of a strictly diffractive point We deduce from this calculation the principal symbol of the wave ...
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Reproducing Kernel for Neumann Boundary Conditions
Punjab University Journal of Mathematics, 2022We investigate a kernel space which is a particular class of Hilbert space. We discuss various properties of the reproducing kernel. In particular, our aim to construct kernel in reproducing space of the specific function space (Sobolev space) with the inner product and norm. Also, we derive the reproducing kernel for Neumann boundary conditions.
Gautam Patel, Kaushal Patel
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