10 results for "Erica M. Rutter"
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Journal Article
Estimating treatment sensitivity in synthetic and in vitro tumors using a random differential equation model
Abstract Resistance to treatment, which comes from the heterogeneity of cell types within tumors, is a leading cause of poor treatment outcomes in cancer patients. Previous mathematical work modeling cancer over time has neither emphasized the relationship between cell heterogeneity and treatment…
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Journal Article
A data-motivated density-dependent diffusion model of in vitro glioblastoma growth
Glioblastoma multiforme is an aggressive brain cancer that is extremely fatal. It is characterized by both proliferation and large amounts of migration, which contributes to the difficulty of treatment. Previous models of this type of cancer growth often include two separate equations to model…
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Journal Article Full text
Enhancing generalizability of model discovery across parameter space with multi-experiment equation learning for biological systems
Agent-based modeling (ABM) is a powerful tool for understanding self-organizing biological systems, but it is computationally intensive and often not analytically tractable. Equation learning (EQL) methods can derive continuum models from ABM data, but they typically require extensive simulations…
Also available at: DOAJ
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Journal Article
Mathematically modeling the biological properties of gliomas: A review
Although mathematical modeling is a mainstay for industrial and many scientific studies, such approaches have found little application in neurosurgery. However, the fusion of biological studies and applied mathematics is rapidly changing this environment, especially for cancer research. This review…
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Journal Article
A tutorial review of mathematical techniques for quantifying tumor heterogeneity
Intra-tumor and inter-patient heterogeneity are two challenges in developing mathematical models for precision medicine diagnostics. Here we review several techniques that can be used to aid the mathematical modeller in inferring and quantifying both sources of heterogeneity from patient data…
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Journal Article
Few-Shot Learning Enables Population-Scale Analysis of Leaf Traits in Populus trichocarpa
Plant phenotyping is typically a time-consuming and expensive endeavor, requiring large groups of researchers to meticulously measure biologically relevant plant traits, and is the main bottleneck in understanding plant adaptation and the genetic architecture underlying complex traits at population…
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Journal Article
Roles of mathematics-related psychological factors in STEM sense of belonging and identity: a structural equation modeling analysis
Abstract Background The progression and retention of students in STEM (Science, Technology, Engineering, and Mathematics) disciplines are influenced by their performance in calculus courses, particularly among underrepresented minoritized (URM) and first-generation college students. Research…
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Journal Article
Mathematical Analysis of Glioma Growth in a Murine Model
Abstract 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 multiforme (GBM). The mice were imaged using magnetic resonance (MR) at five separate time points to characterize growth and…
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