Browsing UMBC Mathematics and Statistics Department by Title
Now showing items 96-115 of 230
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Large Deflections of Inextensible Cantilevers: Modeling, Theory, and Simulation
(2019-10-16)A recent large deflection cantilever model is considered. The principal nonlinear effects come through the beam’s inextensibility—local arc length preservation—rather than traditional extensible effects attributed to ... -
Least Sparsity of p-Norm Based Optimization Problems with p>1*
(Society for Industrial and Applied Mathematics, 2018-09-27)Motivated by lp-optimization arising from sparse optimization, high-dimensional data analytics and statistics, this paper studies sparse properties of a wide range of p-norm based optimization problems with p > 1, including ... -
Lifetime Discrimination Burden, Racial Discrimination, and Subclinical Cerebrovascular Disease among African Americans
(American Physiological Association, 2018-11-26)Explore interactive relations of lifetime discrimination burden and racial discrimination – chronic stressors among African Americans (AA) – and age with magnetic resonance imaging (MRI)-assessed white matter lesion volume ... -
A Linearized Viscous, Compressible Flow-Plate Interaction with Non-dissipative Coupling
We address semigroup well-posedness for a linear, compressible viscous fluid interacting at its boundary with an elastic plate. We derive the model by linearizing the compressible Navier-Stokes equations about an arbitrary ... -
Linkages of Calcium Induced Calcium Release in a Cardiomyocyte Simulated by a System of Seven Coupled Partial Differential Equations
Cardiac arrhythmias affect millions of adults in the U.S. each year. This irregularity in the beating of the heart is often caused by dysregulation of calcium in cardiomyocytes, the cardiac muscle cell. Cardiomyocytes ... -
Long-time dynamics of a hinged-free plate driven by a non-conservative force
(2020-07-06)A partially hinged, partially free rectangular plate is considered, with the aim to address the possible unstable end behaviors of a suspension bridge subject to wind. This leads to a nonlinear plate evolution equation ... -
Long-time Simulation of Calcium Induced Calcium Release in a Heart Cell using the Finite Element Method on a Hybrid CPU/GPU Node
(Society for Computer Simulation International (SCS), 2015-04-12)A mathematical model of Calcium Induced Calcium Release in a heart cell has been developed that consists of three coupled non-linear advection-di usion-reaction equations. A program in C with MPI based on matrixfree ... -
Long-Time Simulation of Calcium Waves in a Heart Cell to Study the Effects of Calcium Release Flux Density and of Coefficients in the Pump and Leak Mechanisms on Self-Organizing Wave Behavior
(2009)Spontaneous calcium sparks can lead to propagation of a self-initiated calcium wave under certain conditions in a heart cell. A model for diffusion waves of calcium ions in a heart cell is given by a system of coupled, ... -
Long-Time Simulations on High Resolution Meshes to Model Calcium Waves in a Heart Cell
(Society for Industrial and Applied Mathematics, 2008-10-13)A model for the flow of calcium on the scale of one heart cell is given by a system of time-dependent reaction-diffusion equations coupled by nonlinear reaction terms. Calcium ions enter into the cell at release units ... -
Long-time Simulations with Complex Code Using Multiple Nodes of Intel Xeon Phi Knights Landing
(ScienceDirect, 2018-08-01)Modern partial differential equation (PDE) models across scientific disciplines require sophisticated numerical methods resulting in complex codes as well as large numbers of simulations for analysis like parameter studies ... -
Low-Order Model of Biological Neural Networks
(2020-12-12)A biologically plausible low-order model (LOM) of biological neural networks is a recurrent hierarchical network of dendritic nodes/trees, spiking/nonspiking neurons, unsupervised/ supervised covariance/accumulative learning ... -
Machine Learning with Feature Importance Analysis for Tornado Prediction from Environmental Sounding Data
(UMBC, 2020-06-25)Tornadoes pose a forecast challenge to National Weather Service forecasters because of their quick development and potential for life-threatening damage. The use of machine learning in severe weather forecasting has ... -
ManifoldOptim: An R Interface to the ROPTLIB Library for Riemannian Manifold Optimization
(Foundation for Open Access Statistics, 2020-04-18)Manifold optimization appears in a wide variety of computational problems in the applied sciences. In recent statistical methodologies such as sufficient dimension reduction and regression envelopes, estimation relies on ... -
A Mathematical Model for Enzyme Clustering in Glucose Metabolism
(Nature, 2017)We have recently demonstrated that the rate-limiting enzymes in human glucose metabolism organize into cytoplasmic clusters to form a multienzyme complex, the glucosome, in at least three different sizes. Quantitative ... -
Maximum-likelihood estimation of the random-clumped multinomial model as a prototype problem for large-scale statistical computing
(Taylor and Francis Online, 2012-05-08)Numerical methods are needed to obtain maximum-likelihood estimates (MLEs) in many problems. Computation time can be an issue for some likelihoods even with modern computing power. We consider one such problem where the ... -
A Memory-Efficient Finite Volume Method for Advection-Diffusion-Reaction Systems with Non-Smooth Sources
(Wiley, 2014-06-20)We present a parallel matrix-free implicit finite volume scheme for the solution of unsteady three-dimensional advection-diffusion-reaction equations with smooth and Dirac-Delta source terms. The scheme is formally second ... -
Merging Orthovoltage X-Ray Minibeams spare the proximal tissues while producing a solid beam at the target
(Springer Nature Publishing AG., 2019-02-04)Conventional radiation therapy of brain tumors often produces cognitive deficits, particularly in children. We investigated the potential efficacy of merging Orthovoltage X-ray Minibeams (OXM). It segments the beam into ... -
The microglia response to electrical overstimulation of the retina imaged under a transparent stimulus electrode
(IOP, 2021-01-08)Objective: We investigated using the morphological response of retinal microglia as indicators of tissue damage from electrical overstimulation by imaging them through an optically transparent stimulus electrode. Approach: ... -
Mineral Dust Detection Using Satellite Data
Mineral dust, defined as aerosol originating from the soil, can have various harmful effects to the environment and human health. The detection of dust, and particularly incoming dust storms, may help prevent some of these ...