Search Results - "Rutter, Erica"
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1
Traveling wave speed and profile of a “go or grow” glioblastoma multiforme model
Published in Communications in nonlinear science & numerical simulation (01-04-2023)“…Glioblastoma multiforme (GBM) is a fast-growing and deadly brain tumor due to its ability to aggressively invade the nearby brain tissue. A host of…”
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2
Learning partial differential equations for biological transport models from noisy spatio-temporal data
Published in Proceedings of the Royal Society. A, Mathematical, physical, and engineering sciences (01-02-2020)“…We investigate methods for learning partial differential equation (PDE) models from spatio-temporal data under biologically realistic levels and forms of…”
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3
Estimation of Parameter Distributions for Reaction-Diffusion Equations with Competition using Aggregate Spatiotemporal Data
Published in Bulletin of mathematical biology (01-07-2023)“…Reaction-diffusion equations have been used to model a wide range of biological phenomenon related to population spread and proliferation from ecology to…”
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4
Modeling and Global Sensitivity Analysis of Strategies to Mitigate Covid-19 Transmission on a Structured College Campus
Published in Bulletin of mathematical biology (01-01-2023)“…In response to the COVID-19 pandemic, many higher educational institutions moved their courses on-line in hopes of slowing disease spread. The advent of…”
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5
Learning Equations from Biological Data with Limited Time Samples
Published in Bulletin of mathematical biology (09-09-2020)“…Equation learning methods present a promising tool to aid scientists in the modeling process for biological data. Previous equation learning studies have…”
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6
Stoichiometric Ecotoxicology for a Multisubstance World
Published in Bioscience (01-02-2021)“…Abstract Nutritional and contaminant stressors influence organismal physiology, trophic interactions, community structure, and ecosystem-level processes;…”
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7
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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8
Simple multi-scale modeling of the transmission dynamics of the 1905 plague epidemic in Bombay
Published in Mathematical biosciences (01-07-2018)“…•We derive a class of logistic models in the context of population contact structure and human behavioral change. We show numerically that these models are…”
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9
Effects of non-physiological blood pressure artefacts on cerebral autoregulation
Published in Medical engineering & physics (01-09-2017)“…•Non-physiological blood pressure artefacts affect ARI significantly.•Square wave and saturation artefacts cause ARI to diverge.•The pulse pressure reduction…”
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10
A data-motivated density-dependent diffusion model of in vitro glioblastoma growth
Published in Mathematical biosciences and engineering : MBE (01-12-2015)“…Glioblastoma multiforme is an aggressive brain cancer that is extremely fatal. It is characterized by both proliferation and large amounts of migration, which…”
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11
A tutorial review of mathematical techniques for quantifying tumor heterogeneity
Published in Mathematical biosciences and engineering : MBE (01-01-2020)“…Intra-tumor and inter-patient heterogeneity are two challenges in developing mathematical models for precision medicine diagnostics. Here we review several…”
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12
Detection of Bladder Contractions From the Activity of the External Urethral Sphincter in Rats Using Sparse Regression
Published in IEEE transactions on neural systems and rehabilitation engineering (01-08-2018)“…Bladder overactivity and incontinence and dysfunction can be mitigated by electrical stimulation of the pudendal nerve applied at the onset of a bladder…”
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13
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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14
Continuous Structured Population Models for Daphnia magna
Published in Bulletin of mathematical biology (01-11-2017)“…We continue our efforts in modeling Daphnia magna , a species of water flea, by proposing a continuously structured population model incorporating…”
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15
Few-Shot Learning Enables Population-Scale Analysis of Leaf Traits in Populus trichocarpa
Published in Plant phenomics (2023)“…Plant phenotyping is typically a time-consuming and expensive endeavor, requiring large groups of researchers to meticulously measure biologically relevant…”
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16
Spline-Based Emulators for Radiative Shock Experiments With Measurement Error
Published in Journal of the American Statistical Association (01-06-2013)“…Radiation hydrodynamics and radiative shocks are of fundamental interest in the high-energy-density physics research due to their importance in understanding…”
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17
Emulation of Numerical Models With Over-Specified Basis Functions
Published in Technometrics (03-04-2017)“…Mathematical models are frequently used to explore physical systems, but can be computationally expensive to evaluate. In such settings, an emulator is used as…”
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18
TRAVELING WAVES OF A GO-OR-GROW MODEL OF GLIOMA GROWTH
Published in SIAM journal on applied mathematics (01-01-2018)“…Glioblastoma multiforme is a deadly brain cancer in which tumor cells excessively proliferate and migrate. The first mathematical models of the spread of…”
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19
Multitask neural networks for predicting bladder pressure with time series data
Published in Biomedical signal processing and control (01-02-2022)“…•Multitask learning (MTL) is used with neural networks to model population time series data.•MTL improves prediction of bladder pressure from EUS EMG data.•MTL…”
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20
Learning partial differential equations for biological transport models from noisy spatio-temporal data
Published in Proceedings of the Royal Society. A, Mathematical, physical, and engineering sciences (01-02-2020)“…We investigate methods for learning partial differential equation (PDE) models from spatio-temporal data under biologically realistic levels and forms of…”
Get full text
Journal Article