Mathematical analysis of a model-constrained inverse problem for the reconstruction of early states of prostate cancer growth

Medical applications (general) (92C50) Inverse problems for PDEs (35R30) Semilinear parabolic equations (35K58) Initial-boundary value problems for second-order parabolic systems (35K51)

Cites Work

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On a Cahn-Hilliard type phase field system related to tumor growth
Iterative regularization methods for nonlinear ill-posed problems
Optimal control of treatment time in a diffuse interface model of tumor growth
Three-dimensional multispecies nonlinear tumor growth. I: Model and numerical method
A convergence analysis of the Landweber iteration for nonlinear ill-posed problems
Long-time dynamics and optimal control of a diffuse interface model for tumor growth
On the long time behavior of a tumor growth model
Lipschitz stability for the inverse conductivity problem
A Cahn-Hilliard-Darcy model for tumour growth with chemotaxis and active transport
Local analysis of inverse problems: Hölder stability and iterative reconstruction
Stability results for backward parabolic equations with time-dependent coefficients
Lipschitz Stability for the Electrical Impedance Tomography Problem: The Complex Case
Conditional stability in a backward parabolic system
Lipschitz stability for a stationary 2D inverse problem with unknown polygonal boundary
Log-log convexity and backward uniqueness
Determination of a Linear Crack in an Elastic Body from Boundary Measurements—Lipschitz Stability
Carleman estimates for parabolic equations and applications
Lipschitz stability in inverse parabolic problems by the Carleman estimate
On a diffuse interface model of tumour growth
Numerical reconstruction of brain tumours
Where did the tumor start? An inverse solver with sparse localization for tumor growth models
Lipschitz Stable Determination of Polyhedral Conductivity Inclusions from Local Boundary Measurements
Strong well-posedness and inverse identification problem of a non-local phase field tumour model with degenerate mobilities
Mathematical analysis and simulation study of a phase-field model of prostate cancer growth with chemotherapy and antiangiogenic therapy effects
Lipschitz Stability for Backward Heat Equation with Application to Fluorescence Microscopy
Optimal control of cytotoxic and antiangiogenic therapies on prostate cancer growth
Unique Continuation Properties and Quantitative Estimates of Unique Continuation for Parabolic Equations
Optimal distributed control of a diffuse interface model of tumor growth
Convergence analysis of a two-point gradient method for nonlinear ill-posed problems
Lower Bounds and Uniqueness Theorems for Solutions of Differential Equations in a Hilbert Space
Nonlinear modelling of cancer: bridging the gap between cells and tumours
Inverse problems for partial differential equations
Optimal distributed control for a viscous non-local tumour growth model

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