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Article
Open AccessHIV-1 Vpr combats the PU.1-driven antiviral response in primary human macrophages
HIV-1 Vpr promotes efficient spread of HIV-1 from macrophages to T cells by transcriptionally downmodulating restriction factors that target HIV-1 Envelope protein (Env). Here we find that Vpr induces broad tr...
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Article
On the Well-Posedness and Stability of Cubic and Quintic Nonlinear Schrödinger Systems on \(\mathbb {T}^3\)
In this paper, we study cubic and quintic nonlinear Schrödinger systems on three-dimensional tori, with initial data in an adapted Hilbert space ...
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Article
On the Emergence of Quantum Boltzmann Fluctuation Dynamics near a Bose–Einstein Condensate
In this work, we study the quantum fluctuation dynamics in a Bose gas on a torus \(\Lambda =(L{\mathbb {T}})^3\) ...
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Chapter and Conference Paper
Optimized CNN Model with Deep Convolutional GAN for Brain Tumor Detection
Brain tumors are viewed as a deadly form of cancer. Early and precise detection of brain tumors is critical to tumor cure. Magnetic resonance imaging and computed tomography are two widely used methods of exam...
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Article
Open AccessThe time-dependent Hartree–Fock–Bogoliubov equations for Bosons
We introduce the map of dynamics of quantum Bose gases into dynamics of quasifree states, which we call the “nonlinear quasifree approximation”. We use this map to derive the time-dependent Hartree–Fock–Bogoli...
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Article
Small Data Global Well-Posedness for a Boltzmann Equation via Bilinear Spacetime Estimates
We provide a new analysis of the Boltzmann equation with a constant collision kernel in two space dimensions. The scaling-critical Lebesgue space is ...
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Article
Local Well-Posedness for Boltzmann’s Equation and the Boltzmann Hierarchy via Wigner Transform
We use the dispersive properties of the linear Schrödinger equation to prove local well-posedness results for the Boltzmann equation and the related Boltzmann hierarchy, set in the spatial domain ...
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Article
Application of Machine Learning in Perovskite Solar Cell Crystal Size Distribution Analysis
This research automates edge detection for perovskite crystal grains using machine learning (ML). Once the edges of the crystal grains are located, a flood-fill algorithm can be used to find the distribution o...
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Article
The Weak Coupling Limit for the Random Schrödinger Equation: The Average Wave Function
We consider the Schrödinger equation with a time-independent weakly random potential of a strength \({\epsilon\ll 1}\) ...
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Chapter and Conference Paper
Your Code Is My Code: Exploiting a Common Weakness in OAuth 2.0 Implementations
Many millions of users routinely use their Google, Facebook and Microsoft accounts to log in to websites supporting OAuth 2.0-based single sign on. The security of OAuth 2.0 is therefore of critical importance...
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Article
Global Well-Posedness of the NLS System for Infinitely Many Fermions
In this paper, we study the mean field quantum fluctuation dynamics for a system of infinitely many fermions with delta pair interactions in the vicinity of an equilibrium solution (the Fermi sea) at zero temp...
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Article
On the Well-Posedness and Scattering for the Gross–Pitaevskii Hierarchy via Quantum de Finetti
We prove the existence of scattering states for the defocusing cubic Gross–Pitaevskii (GP) hierarchy in \({\mathbb{R}^3}\) ...
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Article
Existence and Nonlinear Stability of Stationary States for the Semi-Relativistic Schrödinger-Poisson System
We study the stationary states of the semi-relativistic Schrödinger-Poisson system in the repulsive (plasma physics) Coulomb case. In particular, we establish the existence and the nonlinear stability of a wid...
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Article
Derivation of the Cubic NLS and Gross–Pitaevskii Hierarchy from Manybody Dynamics in d = 3 Based on Spacetime Norms
We derive the defocusing cubic Gross–Pitaevskii (GP) hierarchy in dimension d = 3, from an N-body Schrödinger equation describing a gas of interacting bosons in the GP scaling, in the limit N → ∞. The main result...
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Article
Effective Dynamics of an Electron Coupled to an External Potential in Non-relativistic QED
In the framework of non-relativistic QED, we show that the renormalized mass of the electron (after having taken into account radiative corrections) appears as the kinematic mass in its response to an external...
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Article
A Lower Bound on Blowup Rates for the 3D Incompressible Euler Equation and a Single Exponential Beale-Kato-Majda Type Estimate
We prove a Beale-Kato-Majda type criterion for the loss of regularity for solutions of the incompressible Euler equations in $${H^{s}(...
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Article
Targeted blue nanoparticles as photoacoustic contrast agent for brain tumor delineation
Distinguishing a tumor from non-neoplastic tissue is a challenging task during cancer surgery. Several attempts have been made to use visible or fluorescent agents to aid in the visualization of a tumor during...
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Article
Phase 1/pharmacology study of intraperitoneal topotecan alone and with cisplatin: potential for consolidation in ovarian cancer
Most ovarian cancers recur after first-line treatment. We studied the pharmacology, tolerability, and therapeutic potential of intraperitoneal (IP) topotecan, alone and with IP cisplatin.
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Article
Boltzmann Limit for a Homogeneous Fermi Gas with Dynamical Hartree-Fock Interactions in a Random Medium
We study the dynamics of the thermal momentum distribution function for an interacting, homogeneous Fermi gas on ℤ3 in the presence of an external weak static random potential, where the pair interactions between...
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Chapter
A Technical Description of the Brain Tumor Window Model: An In Vivo Model for the Evaluation of Intraoperative Contrast Agents
The evaluation of candidate optical contrast agents for brain tumor delineation in ex vivo models may not accurately predict their activity in vivo. This study describes an in vivo model system designed to ass...
