Browsing Faculty Works, Department of Mathematics by Title
Now showing items 106125 of 224

kspace function spaces
(Hindawi, 19800101)A study is made of the properties on X which characterize when Cπ(X) is a kspace, where Cπ(X) is the space of realvalued continuous functions on X having the topology of pointwise convergence. Other properties related ... 
large eddy simulation of turbulent channel flows by the rational large eddy simulation model
(AIP Publishing, 200310)The rational large eddy simulation (RLES) model is applied to turbulent channel flows. This approximate deconvolution model is based on a rational (subdiagonal Pade) approximation of the Fourier transform of the Gaussian ... 
Leastsquares finite element approximations to solutions of interface problems
(Siam Publications, 199802)A leastsquares finite element method for secondorder elliptic boundary value problems having interfaces due to discontinuous media properties is proposed and analyzed. Both Dirichlet and Neumann boundary data are treated. ... 
linear stability analysis of salt fingers with surface evaporation or warming
(AIP Publishing, 199611)Oceanic observations [Atmos. Ocean 29, 340 (1991)] have revealed smallscale thermohaline plumes near the surface of a calm sea under warming conditions. The stratification was favorable for the doublediffusive salt finger ... 
Linked withinhost and betweenhost models and data for infectious diseases: a systematic review
(PeerJ, 20190619)The observed dynamics of infectious diseases are driven by processes across multiple scales. Here we focus on two: withinhost, that is, how an infection progresses inside a single individual (for instance viral and immune ... 
Linking neuronal brain activity to the glucose metabolism
(20130829)Background Energy homeostasis ensures the functionality of the entire organism. The human brain as a missing link in the global regulation of the complex whole body energy metabolism is subject to recent investigation. The ... 
location of essential spectrum of intermediate Hamiltonians restricted to symmetry subspaces
(AIP Publishing, 198810)A theorem is presented on the location of the essential spectrum of certain intermediate Hamiltonians used to construct lower bounds to bound‐state energies of multiparticle atomic and molecular systems. This result is an ... 
long nonlinear waves in an unbounded rotating jet or rotating twofluid flow
(AIP Publishing, 199403)The objective of this paper is to study weakly nonlinear waves in an infinitely long rotating jet and a rotating twofluid flow bounded by an infinitely long rigid cylinder with surface tension at the interface. The critical ... 
Mathematical Models of EAntigen Mediated Immune Tolerance and Activation following Prenatal HBV Infection
(PLOS, 20120702)We develop mathematical models for the role of hepatitis B eantigen in creating immunological tolerance during hepatitis B virus infection and propose mechanisms for hepatitis B eantigen clearance, subsequent emergence ... 
Maximality Theorems on the Sum of Two Maximal Monotone Operators and Application to Variational Inequality Problems
(Hindawi, 20160811)Let be a real locally uniformly convex reflexive Banach space with locally uniformly convex dual space . Let and be maximal monotone operators. The maximality of the sum of two maximal monotone operators has been an ... 
Model Reduction by Rational Interpolation
(Siam, 20160701)The last two decades have seen major developments in interpolatory methods for model reduction of largescale linear dynamical systems. Advances of note include the ability to produce (locally) optimal reduced models at ... 
Model Reduction for DAEs with an Application to Flow Control
(SpringerVerlag Berlin, 20150101) 
Model Reduction for Systems with Inhomogeneous Initial Conditions
We consider the model reduction problem for linear timeinvariant dynamical systems having nonzero (but otherwise indeterminate) initial conditions. Building upon the observation that the full system response is decomposable ... 
Model reduction of descriptor systems by interpolatory projection methods
(Siam Publications, 2013)In this paper, we investigate an interpolatory projection framework for model reduction of descriptor systems. With a simple numerical example, we first illustrate that directly applying the subspace conditions from the ... 
Modeling stochasticity and variability in gene regulatory networks
(20120606)Modeling stochasticity in gene regulatory networks is an important and complex problem in molecular systems biology. To elucidate intrinsic noise, several modeling strategies such as the Gillespie algorithm have been used ... 
Modeling Superparamagnetic Particles in Blood Flow for Applications in Magnetic Drug Targeting
(MDPI, 20170604)Magnetic drug targeting is a technique that involves the binding of medicine to magnetizable particles to allow for more specific transport to the target location. This has recently come to light as a method of drug delivery ... 
Modeling the Mechanisms by Which HIV Associated Immunosuppression Influences HPV Persistence at the Oral Mucosa
(PLOS, 20170106)Human immunodeficiency virus (HIV)infected patients are at an increased risk of coinfection with human papilloma virus (HPV), and subsequent malignancies such as oral cancer. To determine the role of HIVassociated immune ... 
Multiscale immunoepidemiological modeling of withinhost and betweenhost HIV dynamics: systematic review of mathematical models
(PeerJ, 20170928)Objective The objective of this study is to conduct a systematic review of multiscale HIV immunoepidemiological models to improve our understanding of the synergistic impact between the HIV viralimmune dynamics at the ... 
multiplescales spacetime analysis of a randomly perturbed onedimensional waveequation
(AIP Publishing, 197710)An initial value problem for one_dimensional wave propagation is considered; the medium is assumed to be randomly perturbed as a function of both space and time. The stochastic perturbation theory of Papanicolaou and Keller ...