Results 31 to 40 of about 6,816 (262)
Notes on the optimal variational iteration method
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Diversity and complexity in neural organoids
Neural organoid research aims to expand genetic diversity on one side and increase tissue complexity on the other. Chimeroids integrate multiple donor genomes within single organoids. Self‐organising multi‐identity organoids, exogenous cell seeding, or enforced assembly of region‐specific organoids contribute to tissue complexity.
Ilaria Chiaradia, Madeline A. Lancaster
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A simplified variational iteration method is proposed to solve high-order homogeneous or nonhomogeneous linear ordinary differential equation and ordinary differential equation eigenvalue problems more efficiently and conveniently.
Chao Pan, Ruifu Zhang, Hao Luo, Hua Shen
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Regularization and Iterative Methods for Monotone Variational Inequalities [PDF]
AbstractWe provide a general regularization method for monotone variational inequalities, where the regularizer is a Lipschitz continuous and strongly monotone operator. We also introduce an iterative method as discretization of the regularization method. We prove that both regularization and iterative methods converge in norm.
Xiubin Xu, Hong-Kun Xu
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pH‐mediated activation of the lysosomal arginine sensor SLC38A9
Cells monitor nutrient levels via the lysosomal transporter SLC38A9 to activate the mechanistic target of rapamycin complex 1 (mTORC1). This study reveals that SLC38A9 function is regulated by pH. We identified histidine 544 as a critical pH sensor that undergoes conformational changes to control amino acid efflux from lysosomes; therefore, it ...
Xuelang Mu, Ampon Sae Her, Tamir Gonen
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On an iterative method for variational inequalities
A number of numerical solutions are presented as examples of a new iterative method for variational inequalities. The iterative method is based on the reduction o variational inequalities to the Wiener-Hopf equations. For obstable problems the convergence is guaranteed in \(W^{1,p}\) spaces for \(p\geq 2\).
Pitonyak, A., Shi, P., Shillor, M.
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Modulation of Homer1 EVH1 domain internal dynamics by putative autism‐associated mutations
The putative autism‐associated M65I and S97L variants of the EVH1 domain of the postsynaptic scaffold protein Homer1 do not exhibit substantial changes in their overall structure or partner binding. Both of them, but especially the M65I variant, show altered internal dynamics relative to the wild‐type domain on the μs‐ms timescale, indicated by the ...
Fanni Farkas +6 more
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Iterative methods for generalized variational inequalities
The author proposes a three-step algorithm for solving the variational inequality \(u \in K\), \(\nu \in T(u)\), \(\langle \nu, v-u\rangle \geq 0\) for all \(v \in K\), where \(K\) is a non-empty convex closed set in a Hilbert space \(H\), and \(T\) is a possibly multivalued monotone mapping on \(H\).
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We present robust protocols for the preparation of supported lipid bilayers (SLBs) incorporating either Salmonella smooth LPS or outer membrane vesicles (OMVs). We use a combination of quartz crystal microbalance with dissipation (QCM‐D) and fluorescence microscopy to both characterize the SLBs of various compositions and to probe their interactions ...
Hudson P. Pace +6 more
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Variational Homotopy Perturbation Method for Solving Fractional Initial Boundary Value Problems
A variational homotopy perturbation method (VHPM) which is based on variational iteration method and homotopy perturbation method is applied to solve the approximate solution of the fractional initial boundary value problems.
Yanqin Liu
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