A5018427629- Advanced Mathematical Modeling in Engineering
- Probabilistic and Robust Engineering Design
- HIV Research and Treatment
- Advanced Thermodynamics and Statistical Mechanics
- Advanced Statistical Methods and Models
- Risk and Safety Analysis
- Statistical Mechanics and Entropy
- Advanced Numerical Methods in Computational Mathematics
- Nuclear reactor physics and engineering
- Quantum Mechanics and Applications
- Bayesian Modeling and Causal Inference
- Advanced Statistical Process Monitoring
- Evolution and Genetic Dynamics
- vaccines and immunoinformatics approaches
- Hydraulic Fracturing and Reservoir Analysis
- Stochastic processes and financial applications
- Nuclear Materials and Properties
- Fault Detection and Control Systems
- Markov Chains and Monte Carlo Methods
- Twentieth Century Scientific Developments
- Mathematical Biology Tumor Growth
- Gaussian Processes and Bayesian Inference
- Enhanced Oil Recovery Techniques
- Composite Material Mechanics
- Theoretical and Computational Physics
Los Alamos National Laboratory
2007-2023
Massachusetts Institute of Technology
1997-2003
Catholic University of America
1997-2003
Princeton University
1989-1990
Arcadia
1990
Stanford University
1981
We used ultra-deep sequencing to obtain tens of thousands HIV-1 sequences from regions targeted by CD8+ T lymphocytes longitudinal samples three acutely infected subjects, and modeled viral evolution during the critical first weeks infection. Previous studies suggested that a single virus established productive infection, but these conclusions were tempered because limited sampling; now, we have greatly increased our confidence in this observation through modeling observed earliest sample...
By differentiating the Schr\"odinger equation and separating real amd imaginary parts, one obtains Madelung hydrodynamic equations, which have inspired numerous classical interpretations of quantum mechanics. Such frequently assume that these equations are equivalent to equation, thus provide an alternative basis for This paper proves this is incorrect: recover must add by hand a quantization condition, as in old theory. The implications various mechanics discussed.
An effective AIDS vaccine must control highly diverse circulating strains of human immunodeficiency virus type 1 (HIV-1). Among HIV-1 gene products, the envelope (Env) protein contains variable as well conserved regions. In this report, an informatic approach to design T-cell vaccines directed Env M group global sequences was tested. Synthetic antigens were designed express mosaics that maximize inclusion common potential epitope (PTE) 9-mers and minimize rare epitopes likely elicit...
A combinatorial definition of multiple stochastic integrals is given in the setting random measures. It shown that some properties such integrals, formerly known to hold special cases, are instances identities on lattice partitions a set. The notion sequences binomial type introduced as generalization polynomial occuring integration, Hermite, Poisson–Charlier and Kravchuk polynomials. for sets have common origin.
Existing stochastic models of unsaturated flow and transport are usually developed using the simple Gardner‐Russo constitutive relationship though it is generally accepted that more complex van Genuchten Brooks‐Corey relationships may perform better in describing experimental data. In this paper, we develop first‐order for gravity‐dominated second‐order stationary media with both relationships. These also account spatial variability effective water content, while neglected most existing...
ABSTRACT The objective of this study was to estimate and compare the evolutionary rates HIV-2 HIV-1. Two data sets from patients with advanced disease were compared matched HIV-1 sets. estimated mean rate significantly higher than HIV-1, both in gp125 V3 region env gene. In addition, synonymous substitutions for possibly indicating a shorter generation time or mutation HIV-2. Thus, lower virulence does not appear translate into evolution.
We consider a Polya urn, started with b black and w white balls, where b>w. compute the probability that there are ever same number of balls in show it is twice getting no more than w-1 heads b+w-1 tosses fair coin.
Abstract This paper describes further development and testing of the Renormalization Nonuniform Coarsening (RNC) scale up algorithm, which was recently introduced in Ref. 13. RNC combines nonuniform coarsening with upscaling absolute relative permeabilities to provide coarsened descriptions two-phase immiscible flow. We diagnose a known bias algorithm used RNC. An unbiased alternative is incorporated into up. The modified tested on displacements through two dimensional cross sections...
Abstract This report is an overview of two main publications that provide a comprehensive review the Los Alamos National Laboratory (LANL) Fission Basis. The first experimental paper, “Fission Product Data Measured at for Spectrum and Thermal Neutrons on 239Pu, 235U, 238U,” [Selby, H. D., et al., Nucl. Sheets, Vol. 111 2010, pp. 2891–2922] second theoretical Yields from n+239Pu ENDF/B-VII.1,” [Chadwick, M. B., 111, 2923–2964].
In stochastic mechanics, the Bopp-Haag-Dankel diffusions on <inline-formula content-type="math/mathml"> <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" alttext="double-struck upper R cubed times S O left-parenthesis 3 right-parenthesis"> <mml:semantics> <mml:mrow> <mml:mrow class="MJX-TeXAtom-ORD"> <mml:msup> <mml:mi mathvariant="double-struck">R</mml:mi> </mml:mrow> <mml:mn>3</mml:mn> </mml:msup> <mml:mo>×<!-- × --></mml:mo> <mml:mi>SO</mml:mi> <mml:mo><!-- <mml:mo...
We prove new results for general weak solutions of the incompressible Navier-Stokes equations on three-dimensional torus, without using strong energy inequality or other regularity assumptions. Specifically, we two types differential equalities, in which $(d/dt)\lVert u\rVert^2$ is replaced by $2\langle \partial_t u,u\rangle$ and $\lim_{N\rightarrow\infty}(d/dt)\lVert u_N\rVert^2$, where $u_N$ are projections original solution $u$. also provide a characterization Leray-Hopf solutions, as...
The phase transition for turbulent diffusion, reported by Avellaneda and Majda [Avellaneda, M. & Majda, A. J. (1994) Philos. Trans. R. Soc. London A 346, 205-233, several earlier papers], is traced to a modeling assumption in which the energy spectrum of fluid singularly dependent on viscosity inertial range. Phenomenological models turbulence intermittency, contrast, require that be independent When assumed consistent with phenomenological models, there no diffusion.
In stochastic mechanics, the Bopp-Haag-Dankel diffusions on ${\mathbb {R}^3} \times \operatorname {SO} (3)$ are used to represent particles with spin. Bopp and Haag showed that in limit as particleâs moment of inertia $I$ goes zero, solutions Bopp-Haag equations converge regular Pauli equation. Nelson has conjectured same limit, projections onto {R}^3}$ a Markovian process. this paper, we prove conjecture for spin $\operatorname {spin} \;\tfrac {1} {2}$ potentials, identify process...
McDiarmid's inequality has recently been proposed as a tool for setting margin requirements complex systems. If $F$ is the bounded output of system, depending on vector $n$ inputs, this provides bound $B_F(\epsilon)$, such that probability deviation exceeding $B_F(\epsilon)$ less than $\epsilon$. I compare with absolute bound, based range $F$. show when $n_{eff}$, effective number independent variates, small, and $\epsilon$ smaller while also providing i.e., zero instead Thus, to be useful,...