A unified Bayesian inversion approach for a class of tumor growth models with different pressure laws
DOI10.1051/m2an/2024010zbMath1541.35557MaRDI QIDQ6552257
Zhennan Zhou, Liu Liu, Yu Feng
Publication date: 8 June 2024
Published in: European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis (Search for Journal in Brave)
Bayesian inference (62F15) Initial-boundary value problems for second-order parabolic equations (35K20) Degenerate parabolic equations (35K65) Inverse problems for PDEs (35R30) Numerical methods for inverse problems for initial value and initial-boundary value problems involving PDEs (65M32) Mathematical modeling or simulation for problems pertaining to biology (92-10)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- A history of the study of solid tumour growth: the contribution of mathematical modelling
- Free boundary problems for tumor growth: a viscosity solutions approach
- Nonlinear studies of tumor morphological stability using a two-fluid flow model
- Parameter identification via optimal control for a Cahn-Hilliard-chemotaxis system with a variable mobility
- Nonlinear simulation of tumor growth
- An accurate front capturing scheme for tumor growth models with a free boundary limit
- A Hele-Shaw limit without monotonicity
- A tumor growth model with autophagy: the reaction-(cross-)diffusion system and its free boundary limit
- Nonlinear simulation of vascular tumor growth with chemotaxis and the control of necrosis
- Free boundary limit of a tumor growth model with nutrient
- Complex far-field geometries determine the stability of solid tumor growth with chemotaxis
- The Hele-Shaw asymptotics for mechanical models of tumor growth
- Symmetry-breaking bifurcation of analytic solutions to free boundary problems: An application to a model of tumor growth
- A Cahn–Hilliard–Darcy model for tumour growth with chemotaxis and active transport
- Multiscale Modelling and Inverse Problems
- Mathematical Models of Avascular Tumor Growth
- Stability and instability of Liapunov-Schmidt and Hopf bifurcation for a free boundary problem arising in a tumor model
- Porous medium equation to Hele-Shaw flow with general initial density
- A Finite Volume Scheme for Nonlinear Degenerate Parabolic Equations
- Toward Understanding the Boundary Propagation Speeds in Tumor Growth Models
- Where did the tumor start? An inverse solver with sparse localization for tumor growth models
- Bayesian Parameter Identification in Cahn--Hilliard Models for Biological Growth
- Nonlinear modelling of cancer: bridging the gap between cells and tumours
- Tumor growth with nutrients: Regularity and stability
- Tumor boundary instability induced by nutrient consumption and supply
- L1-Theory for Hele-Shaw flow with linear drift
- Incompressible limits of the Patlak-Keller-Segel model and its stationary state
This page was built for publication: A unified Bayesian inversion approach for a class of tumor growth models with different pressure laws
