Selection, calibration, and validation of models of tumor growth
From MaRDI portal
Publication:2833262
DOI10.1142/S021820251650055XzbMath1349.92075OpenAlexW2510729796WikidataQ38615134 ScholiaQ38615134MaRDI QIDQ2833262
J. Tinsley Oden, Thomas E. Yankeelov, David A. II Hormuth, Ernesto A. B. F. Lima, Regina C. Almeida
Publication date: 17 November 2016
Published in: Mathematical Models and Methods in Applied Sciences (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1142/s021820251650055x
Medical applications (general) (92C50) Computational methods for problems pertaining to biology (92-08)
Related Items
Analysis of a tumor model as a multicomponent deformable porous medium ⋮ Strong well-posedness and inverse identification problem of a non-local phase field tumour model with degenerate mobilities ⋮ A framework for performing data-driven modeling of tumor growth with radiotherapy treatment ⋮ Phase-field model of vascular tumor growth: three-dimensional geometry of the vascular network and integration with imaging data ⋮ Tumor evolution models of phase-field type with nonlocal effects and angiogenesis ⋮ Optimizing combination therapy in a murine model of HER2+ breast cancer ⋮ Toward selecting optimal predictive multiscale models ⋮ Model Comparison and Uncertainty Quantification in Tumor Growth ⋮ Viscoelastic Cahn–Hilliard models for tumor growth ⋮ Bayesian Inverse Problems Are Usually Well-Posed ⋮ Image-Driven Biophysical Tumor Growth Model Calibration ⋮ Residual-based error corrector operator to enhance accuracy and reliability of neural operator surrogates of nonlinear variational boundary-value problems ⋮ The mathematical modeling of cancer growth and angiogenesis by an individual based interacting system ⋮ On a phase field model of Cahn-Hilliard type for tumour growth with mechanical effects ⋮ An adjoint-based method for a linear mechanically-coupled tumor model: application to estimate the spatial variation of murine glioma growth based on diffusion weighted magnetic resonance imaging ⋮ Multi-parametric evolution of conditions leading to cancer invasion in biological systems ⋮ Coupling brain-tumor biophysical models and diffeomorphic image registration ⋮ Optimal control of cytotoxic and antiangiogenic therapies on prostate cancer growth ⋮ On the Well-posedness of Bayesian Inverse Problems ⋮ Hierarchically refined and coarsened splines for moving interface problems, with particular application to phase-field models of prostate tumor growth ⋮ Selection and validation of predictive models of radiation effects on tumor growth based on noninvasive imaging data ⋮ A numerical simulation study of the dual role of \(5\alpha\)-reductase inhibitors on tumor growth in prostates enlarged by benign prostatic hyperplasia via stress relaxation and apoptosis upregulation ⋮ Bayesian Parameter Identification in Cahn--Hilliard Models for Biological Growth ⋮ A coupled mass transport and deformation theory of multi-constituent tumor growth ⋮ Adaptive multiscale predictive modelling ⋮ PDE-constrained optimization in medical image analysis ⋮ On a class of non-local phase-field models for tumor growth with possibly singular potentials, chemotaxis, and active transport ⋮ A Cahn-Hilliard-Biot system and its generalized gradient flow structure ⋮ Parameter identification via optimal control for a Cahn-Hilliard-chemotaxis system with a variable mobility ⋮ Goal-oriented a-posteriori estimation of model error as an aid to parameter estimation ⋮ Sparse Optimal Control of a Phase Field Tumor Model with Mechanical Effects
Uses Software
Cites Work
- A Bayesian framework for adaptive selection, calibration, and validation of coarse-grained models of atomistic systems
- Toward predictive multiscale modeling of vascular tumor growth, computational and experimental oncology for tumor prediction
- Three-dimensional multispecies nonlinear tumor growth. I: Model and numerical method
- Bayesian calibration, validation, and uncertainty quantification of diffuse interface models of tumor growth
- Information criteria and statistical modeling.
- SELECTION AND ASSESSMENT OF PHENOMENOLOGICAL MODELS OF TUMOR GROWTH
- A hybrid ten-species phase-field model of tumor growth
- ON THE FOUNDATIONS OF CANCER MODELLING: SELECTED TOPICS, SPECULATIONS, AND PERSPECTIVES
- GENERAL DIFFUSE-INTERFACE THEORIES AND AN APPROACH TO PREDICTIVE TUMOR GROWTH MODELING
- Multiscale Cancer Modeling
- Spectral Methods for Uncertainty Quantification
- Toward a mathematical theory of Keller–Segel models of pattern formation in biological tissues
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
