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Article
SLOCC and LU Classification of Black Holes with Eight Electric and Magnetic Charges
In Kallosh and Linde (Phys. Rev. D 73, 104033 2006), Kallosh and Linde discussed the SLOCC classification of black holes. However, the criteria for the SLOCC classification of black holes have not been given. In ...
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Article
Open AccessPinch force sense test–retest reliability evaluation using contralateral force matching task
A high test–retest reliability in measurement of pinch force sense is required to assess a clinical parameter accurately over a longitudinal study. Ipsilateral reproduction (IR) task and contralateral matching...
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Article
Second Order Convergence of a Modified MAC Scheme for Stokes Interface Problems
Stokes flow equations have been implemented successfully in practice for simulating problems with moving interfaces. Though computational methods based on the well-known MAC scheme produce accurate solutions a...
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Article
Phase field modeling and computation of vesicle growth or shrinkage
We present a phase field model for vesicle growth or shrinkage induced by an osmotic pressure due to a chemical potential gradient. The model consists of an Allen–Cahn equation describing the evolution of the ...
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Article
Bifurcation analysis of a free boundary model of vascular tumor growth with a necrotic core and chemotaxis
A considerable number of research works has been devoted to the study of tumor models. Several biophysical factors, such as cell proliferation, apoptosis, chemotaxis, angiogenesis and necrosis, have been disco...
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Article
A relation among tangle, 3-tangle, and von Neumann entropy of entanglement for three qubits
In this paper, we derive a general formula of the tangle for pure states of three qubits and present three explicit local unitary (LU) polynomial invariants. Our result goes beyond the classical work of tangle...
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Article
A kernel-free boundary integral method for elliptic PDEs on a doubly connected domain
We present a kernel-free boundary integral method (KFBIM) for solving variable coefficients partial differential equations (PDEs) in a doubly connected domain. We focus our study on boundary value problems (BV...
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Article
Open AccessRole of CD68 in tumor immunity and prognosis prediction in pan-cancer
CD68 plays a critical role in promoting phagocytosis; however, the function of CD68 in tumor immunity and prognosis remains unknown. We analyzed CD68 expression among 33 tumor and normal tissues from The Cance...
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Article
A boundary integral method for computing the dynamics of rigid particles in unsteady Stokes and viscoelastic medium
In this paper, we study the dynamics of rigid particles in either viscoelastic flow or unsteady Stokes flow in 3D. We start with the Cauchy momentum equation in time domain, and apply the Fourier transform to ...
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Article
Complex Far-Field Geometries Determine the Stability of Solid Tumor Growth with Chemotaxis
In this paper, we develop a sharp interface tumor growth model to study the effect of the tumor microenvironment using a complex far-field geometry that mimics a heterogeneous distribution of vasculature. Toge...
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Article
Nonlinear studies of tumor morphological stability using a two-fluid flow model
We consider the nonlinear dynamics of an avascular tumor at the tissue scale using a two-fluid flow Stokes model, where the viscosity of the tumor and host microenvironment may be different. The viscosities re...
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Article
On the Transition Probability for the Near or Exact Resonance with the RWA
Rotating wave approximation (RWA) has been used to evaluate the transition probability and solve the Schrödinger equation approximately in quantum optics. Examples include the invalidity of the traditional adi...
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Article
Simulations of Nonlinear Strongly Anisotropic, Misfitting Crystals and Thin Films
We present a new approach for modeling strongly anisotropic crystal and epitaxial growth using regularized, anisotropic Cahn-Hilliard-type equations as a model for the growth and coarsening of thin films. When...
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Article
A deterministic mechanism for dendritic solidification kinetics
