Joint State-Parameter Estimation for Tumor Growth Model

DOI10.1137/20M131775XzbMath1485.92033OpenAlexW3134750407MaRDI QIDQ4986534

Thibaut Kritter, Olivier Saut, Clair Poignard, Annabelle Collin

Publication date: 27 April 2021

Published in: SIAM Journal on Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/20m131775x

zbMATH Keywords

tumor growthimage processingfront propagationdata assimilationstate observer

Mathematics Subject Classification ID

Biomedical imaging and signal processing (92C55) PDEs in connection with biology, chemistry and other natural sciences (35Q92) Inverse problems for PDEs (35R30) Observability (93B07) Cell biology (92C37) Pathology, pathophysiology (92C32)

Related Items (2)

Simulating the behaviour of glioblastoma multiforme based on patient MRI during treatments ⋮ A fully-decoupled discontinuous Galerkin approximation of the Cahn–Hilliard–Brinkman–Ohta–Kawasaki tumor growth model

Cites Work

• Unnamed Item
• Discretization of Dirac delta functions in level set methods
• Joint state and parameter estimation for distributed mechanical systems
• An image-driven parameter estimation problem for a reaction-diffusion glioma growth model with mass effects
• Applied functional analysis. Functional analysis, Sobolev spaces and elliptic differential equations
• Improved model prediction of glioma growth utilizing tissue-specific boundary effects
• A Luenberger observer for reaction-diffusion models with front position data
• Patient-specific mathematical neuro-oncology: using a simple proliferation and invasion tumor model to inform clinical practice
• Computational Modeling of Solid Tumor Growth: The Avascular Stage
• Reduced-order Unscented Kalman Filtering with application to parameter identification in large-dimensional systems
• Erratum of article “Reduced-order Unscented Kalman Filtering with application to parameter identification in large-dimensional systems”
• Front Shape Similarity Measure for Shape-Oriented Sensitivity Analysis and Data Assimilation for Eikonal Equation
• Spatial modelling of tumour drug resistance: the case of GIST liver metastases
• A Galerkin strategy with Proper Orthogonal Decomposition for parameter-dependent problems – Analysis, assessments and applications to parameter estimation
• THE PRODUCT OF DISTRIBUTIONS

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