## Search

Now showing items 41-50 of 93

#### Plasma miRNAs as early biomarkers for detecting hepatocellular carcinoma.

(Int J Cancer, 2015-10-01)

The early detection of hepatocellular carcinoma (HCC) presents a challenge because
of the lack of specific biomarkers. Serum/plasma microRNAs (miRNAs) can discriminate
HCC patients from controls. We aimed to identify and ...

#### Frozen gaussian approximation for general linear strictly hyperbolic systems: Formulation and eulerian methods

(Multiscale Modeling and Simulation, 2012-09-07)

The frozen Gaussian approximation, proposed in [J. Lu and X. Yang, Commun. Math. Sci.,
9 (2011), pp. 663-683], is an efficient computational tool for high frequency wave
propagation. We continue in this paper the development ...

#### Riesz Energy on the Torus: Regularity of Minimizers

(2017-11-30)

We study sets of $N$ points on the $d-$dimensional torus $\mathbb{T}^d$ minimizing
interaction functionals of the type \[ \sum_{i, j =1 \atop i \neq j}^{N}{ f(x_i -
x_j)}. \] The main result states that for a class of functions ...

#### Learning interacting particle systems: diffusion parameter estimation for aggregation equations

(2018-02-14)

In this article, we study the parameter estimation of interacting particle systems
subject to the Newtonian aggregation. Specifically, we construct an estimator $\widehat{\nu}$
with partial observed data to approximate the ...

#### Frozen Gaussian approximation for high frequency wave propagation in periodic media

(2017-04-26)

Propagation of high-frequency wave in periodic media is a challenging problem due
to the existence of multiscale characterized by short wavelength, small lattice constant
and large physical domain size. Conventional computational ...

#### A Quantum Kinetic Monte Carlo Method for Quantum Many-body Spin Dynamics

(2017-11-30)

We propose a general framework of quantum kinetic Monte Carlo algorithm, based on
a stochastic representation of a series expansion of the quantum evolution. Two approaches
have been developed in the context of quantum many-body ...

#### Bloch dynamics with second order Berry phase correction

(2017-04-23)

We derive the semiclassical Bloch dynamics with the second order Berry phase correction,
based on a two-scale WKB asymptotic analysis. For uniform external electric field,
the bi-characteristics system after a positional ...

#### Moderate Deviation for Random Elliptic PDEs with Small Noise

(2017-04-23)

Partial differential equations with random inputs have become popular models to characterize
physical systems with uncertainty coming from, e.g., imprecise measurement and intrinsic
randomness. In this paper, we perform ...

#### Efficient construction of tensor ring representations from sampling

(2017-11-30)

In this note we propose an efficient method to compress a high dimensional function
into a tensor ring format, based on alternating least-squares (ALS). Since the function
has size exponential in $d$ where $d$ is the number ...

#### Dislocation climb models from atomistic scheme to dislocation dynamics

(Journal of the Mechanics and Physics of Solids, 2017-02-01)

© 2016 Elsevier LtdWe develop a mesoscopic dislocation dynamics model for vacancy-assisted
dislocation climb by upscalings from a stochastic model on the atomistic scale. Our
models incorporate microscopic mechanisms of ...