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Modeling the Mechanisms by Which HIV Associated Immunosuppression Influences HPV Persistence at the Oral Mucosa
Human immunodeficiency virus (HIV)-infected patients are at an increased risk of co-infection with human papilloma virus (HPV), and subsequent malignancies such as oral cancer. To determine the role of HIV-associated immune ...
Stability of shear banded flow for a viscoelastic constitutive model with thixotropic yield stress behavior
oral presentation. Abstract published online.
wave operators for the matrix Zakharov-Shabat system
(AIP Publishing, 2010-05)
In this article, we prove the similarity (and, in the focusing case, the J-unitary equivalence) of the free Hamiltonian and the restriction of the full Hamiltonian to the maximal invariant subspace on which its spectrum ...
wall energy relaxation in the Cahn-Hilliard model for moving contact lines
(AIP Publishing, 2011-01)
The Cahn-Hilliard model uses diffusion between fluid components to regularize the stress singularity at a moving contact line. In addition, it represents the dynamics of the near-wall layer by the relaxation of a wall ...
A note on the switching adiabatic theorem
(AIP Publishing, 2012-10)
We derive a nearly optimal upper bound on the running time in the adiabatic theorem for a switching family of Hamiltonians. We assume the switching Hamiltonian is in the Gevrey class G(alpha) as a function of time, and we ...
On the efficiency of Hamiltonian-based quantum computation for low-rank matrices
(AIP Publishing, 2012-03)
We present an extension of adiabatic quantum computing (AQC) algorithm for the unstructured search to the case when the number of marked items is unknown. The algorithm maintains the optimal Grover speedup and includes a ...
Small-energy analysis for the self-adjoint matrix Schrodinger operator on the half line
(AIP Publishing, 2011-10)
The matrix Schrodinger equation with a self-adjoint matrix potential is considered on the half line with the most general self-adjoint boundary condition at the origin. When the matrix potential is integrable and has a ...
Antibody Responses during Hepatitis B Viral Infection
Hepatitis B is a DNA virus that infects liver cells and can cause both acute and chronic disease. It is believed that both viral and host factors are responsible for determining whether the infection is cleared or becomes ...