Search Results - "Kostelich, Eric"
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To mask or not to mask: Modeling the potential for face mask use by the general public to curtail the COVID-19 pandemic
Published in Infectious disease modelling (01-01-2020)“…Face mask use by the general public for limiting the spread of the COVID-19 pandemic is controversial, though increasingly recommended, and the potential of…”
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Modeling the synergistic properties of drugs in hormonal treatment for prostate cancer
Published in Journal of theoretical biology (07-04-2021)“…•Formulation of dynamical model that explicitly incorporates the synergistic properties of drugs commonly used in hormonal therapy.•Model is better at…”
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Local ensemble transform Kalman filter for ionospheric data assimilation: Observation influence analysis during a geomagnetic storm event
Published in Journal of geophysical research. Space physics (01-09-2017)“…We propose a targeted observation strategy, based on the influence matrix diagnostic, that optimally selects where additional observations may be placed to…”
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Predictability and identifiability assessment of models for prostate cancer under androgen suppression therapy
Published in Mathematical biosciences and engineering : MBE (01-01-2019)“…The past two decades have seen the development of numerous mathematical models to study various aspects of prostate cancer in clinical settings. These models…”
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Vectorial EM Propagation Governed by the 3D Stochastic Maxwell Vector Wave Equation in Stratified Layers
Published in Atmosphere (01-09-2023)“…The modeling and processing of vectorial electromagnetic (EM) waves in inhomogeneous media are important problems in physics and engineering, and new methods…”
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Mathematical Analysis of Glioma Growth in a Murine Model
Published in Scientific reports (31-05-2017)“…Five immunocompetent C57BL/6-cBrd/cBrd/Cr (albino C57BL/6) mice were injected with GL261-luc2 cells, a cell line sharing characteristics of human glioblastoma…”
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Efficient data assimilation for spatiotemporal chaos: A local ensemble transform Kalman filter
Published in Physica. D (01-06-2007)“…Data assimilation is an iterative approach to the problem of estimating the state of a dynamical system using both current and past observations of the system…”
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Patient-specific parameter estimates of glioblastoma multiforme growth dynamics from a model with explicit birth and death rates
Published in Mathematical biosciences and engineering : MBE (11-06-2019)“…Glioblastoma multiforme (GBM) is an aggressive primary brain cancer with a grim prog-nosis. Its morphology is heterogeneous, but prototypically consists of an…”
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Accurate state estimation from uncertain data and models: an application of data assimilation to mathematical models of human brain tumors
Published in Biology direct (21-12-2011)“…Data assimilation refers to methods for updating the state vector (initial condition) of a complex spatiotemporal model (such as a numerical weather model) by…”
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Mathematically modeling the biological properties of gliomas: A review
Published in Mathematical biosciences and engineering : MBE (01-08-2015)“…Although mathematical modeling is a mainstay for industrial and many scientific studies, such approaches have found little application in neurosurgery…”
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Tracking glioblastoma progression after initial resection with minimal reaction-diffusion models
Published in Mathematical biosciences and engineering : MBE (01-01-2022)“…We describe a preliminary effort to model the growth and progression of glioblastoma multiforme, an aggressive form of primary brain cancer, in patients…”
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Measuring intense rotation and dissipation in turbulent flows
Published in Nature (London) (09-01-2003)“…Turbulent flows are highly intermittent-for example, they exhibit intense bursts of vorticity and strain. Kolmogorov theory describes such behaviour in the…”
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Data Assimilation for Ionospheric Space-Weather Forecasting in the Presence of Model Bias
Published in Frontiers in applied mathematics and statistics (07-05-2021)“…The dynamics of many models of physical systems depend on the choices of key parameters. This paper describes the results of some observing system simulation…”
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An ensemble Kalman filter data assimilation system for the martian atmosphere: Implementation and simulation experiments
Published in Icarus (New York, N.Y. 1962) (01-10-2010)“…The local ensemble transform Kalman filter (LETKF) is applied to the GFDL Mars general circulation model (MGCM) to demonstrate the potential benefit of an…”
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Review: Mathematical Modeling of Prostate Cancer and Clinical Application
Published in Applied sciences (01-04-2020)“…We review and synthesize key findings and limitations of mathematical models for prostate cancer, both from theoretical work and data-validated approaches,…”
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Uncertain determinism
Published in Nature (London) (09-09-1993)“…Researchers have demonstrated a deterministic physical system that is unreproducible in laboratory experiments. "Riddled" sets of initial conditions cause the…”
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Detectability of dynamical coupling from delay-coordinate embedding of scalar time series
Published in Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics (01-09-2002)“…We address under what conditions dynamical coupling between chaotic systems can be detected reliably from scalar time series. In particular, we study weakly…”
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Practical considerations in estimating dimension from time series data
Published in Physica scripta (01-09-1989)Get full text
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Universal and nonuniversal features in shadowing dynamics of nonhyperbolic chaotic systems with unstable-dimension variability
Published in Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics (01-03-2003)“…An important quantity characterizing the shadowability of computer-generated trajectories in nonhyperbolic chaotic system is the shadowing time, which measures…”
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Efficient data assimilation for spatiotemporal chaos : A local ensemble transform Kalman filter: Data assimilation
Published in Physica. D (2007)Get full text
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