Formal asymptotic limit of a diffuse-interface tumor-growth model

A hybrid ten-species phase-field model of tumor growth

(2014) E. A. B. F. Lima et al.   MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES

Stabilized second-order convex splitting schemes for Cahn-Hilliard models with application to diffuse-interface tumor-growth models

(2013) X. Wu et al.   International Journal for Numerical Methods in Biomedical Engineering

Bayesian calibration, validation, and uncertainty quantification of diffuse interface models of tumor growth

(2012) Andrea Hawkins-Daarud et al.   JOURNAL OF MATHEMATICAL BIOLOGY

Numerical simulation of a thermodynamically consistent four-species tumor growth model

(2011) Andrea Hawkins-Daarud et al.   International Journal for Numerical Methods in Biomedical Engineering

GENERAL DIFFUSE-INTERFACE THEORIES AND AN APPROACH TO PREDICTIVE TUMOR GROWTH MODELING

(2010) J. TINSLEY ODEN et al.   MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES

Goal-oriented error estimation for Cahn-Hilliard models of binary phase transition

(2010) Kristoffer G. van der Zee et al.   NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS

The singular limit of the Allen–Cahn equation and the FitzHugh–Nagumo system

(2008) Matthieu Alfaro et al.   JOURNAL OF DIFFERENTIAL EQUATIONS

Nonlinear simulations of solid tumor growth using a mixture model: invasion and branching

(2008) Vittorio Cristini et al.   JOURNAL OF MATHEMATICAL BIOLOGY

Three-dimensional multispecies nonlinear tumor growth—I

(2008) S.M. Wise et al.   JOURNAL OF THEORETICAL BIOLOGY

Numerical Tests of a Phase Field Model with Second Order Accuracy

(2008) Gunduz Caginalp et al.   SIAM JOURNAL ON APPLIED MATHEMATICS