Grupo de Métodos Numéricos en Ingeniería
GMNI
University of Texas at Austin
Austin, Estados UnidosPublicaciones en colaboración con investigadores/as de University of Texas at Austin (31)
2024
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A global sensitivity analysis of a mechanistic model of neoadjuvant chemotherapy for triple negative breast cancer constrained by in vitro and in vivo imaging data
Engineering with Computers, Vol. 40, Núm. 3, pp. 1469-1499
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A mathematical model for predicting the spatiotemporal response of breast cancer cells treated with doxorubicin
Cancer Biology and Therapy, Vol. 25, Núm. 1
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Designing clinical trials for patients who are not average
iScience, Vol. 27, Núm. 1
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Dynamic parameterization of a modified SEIRD model to analyze and forecast the dynamics of COVID-19 outbreaks in the United States
Engineering with Computers, Vol. 40, Núm. 2, pp. 813-837
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MATHEMATICAL ANALYSIS OF A MODEL-CONSTRAINED INVERSE PROBLEM FOR THE RECONSTRUCTION OF EARLY STATES OF PROSTATE CANCER GROWTH
SIAM Journal on Applied Mathematics, Vol. 84, Núm. 5, pp. 2000-2027
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Patient-Specific, Mechanistic Models of Tumor Growth Incorporating Artificial Intelligence and Big Data
Annual review of biomedical engineering, Vol. 26, Núm. 1, pp. 529-560
2022
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A Petrov-Galerkin method for nonlocal convection-dominated diffusion problems
Journal of Computational Physics, Vol. 452
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Data-driven simulation of fisher kolmogorov tumor growth models using dynamic mode decomposition
Journal of Biomechanical Engineering, Vol. 144, Núm. 12
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Mathematical characterization of population dynamics in breast cancer cells treated with doxorubicin
Frontiers in Molecular Biosciences, Vol. 9
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Oncology and mechanics: Landmark studies and promising clinical applications
Advances in Applied Mechanics (Academic Press Inc.), pp. 513-571
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Patient-specific forecasting of postradiotherapy prostate-specific antigen kinetics enables early prediction of biochemical relapse
iScience, Vol. 25, Núm. 11
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Towards Patient-Specific Optimization of Neoadjuvant Treatment Protocols for Breast Cancer Based on Image-Guided Fluid Dynamics
IEEE Transactions on Biomedical Engineering, Vol. 69, Núm. 11, pp. 3334-3344
2021
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Biologically-based mathematical modeling of tumor vasculature and angiogenesis via time-resolved imaging data
Cancers, Vol. 13, Núm. 12
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Math, magnets, and medicine: enabling personalized oncology
Expert Review of Precision Medicine and Drug Development
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Optimal control of cytotoxic and antiangiogenic therapies on prostate cancer growth
Mathematical Models and Methods in Applied Sciences, Vol. 31, Núm. 7, pp. 1419-1468
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Simulating the spread of COVID-19 via a spatially-resolved susceptible–exposed–infected–recovered–deceased (SEIRD) model with heterogeneous diffusion
Applied Mathematics Letters, Vol. 111
2020
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A numerical simulation study of the dual role of 5α-reductase inhibitors on tumor growth in prostates enlarged by benign prostatic hyperplasia via stress relaxation and apoptosis upregulation
Computer Methods in Applied Mechanics and Engineering, Vol. 362
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Diffusion–reaction compartmental models formulated in a continuum mechanics framework: application to COVID-19, mathematical analysis, and numerical study
Computational Mechanics, Vol. 66, Núm. 5, pp. 1131-1152
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Integrating Quantitative Assays with Biologically Based Mathematical Modeling for Predictive Oncology
iScience, Vol. 23, Núm. 12
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Patient-Specific Characterization of Breast Cancer Hemodynamics Using Image-Guided Computational Fluid Dynamics
IEEE Transactions on Medical Imaging, Vol. 39, Núm. 9, pp. 2760-2771