A multiphase Cahn–Hilliard–Darcy model for tumour growth with necrosis
Published 2018 View Full Article
- Home
- Publications
- Publication Search
- Publication Details
Title
A multiphase Cahn–Hilliard–Darcy model for tumour growth with necrosis
Authors
Keywords
-
Journal
MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES
Volume 28, Issue 03, Pages 525-577
Publisher
World Scientific Pub Co Pte Lt
Online
2017-11-24
DOI
10.1142/s0218202518500148
References
Ask authors/readers for more resources
Related references
Note: Only part of the references are listed.- Analysis of a diffuse interface model of multispecies tumor growth
- (2017) Mimi Dai et al. NONLINEARITY
- Global sharp interface limit of the Hele-Shaw-Cahn-Hilliard system
- (2016) Mingwen Fei MATHEMATICAL METHODS IN THE APPLIED SCIENCES
- A Cahn–Hilliard–Darcy model for tumour growth with chemotaxis and active transport
- (2016) Harald Garcke et al. MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES
- A Mathematical Model Coupling Tumor Growth and Angiogenesis
- (2016) Jiangping Xu et al. PLoS One
- Formal asymptotic limit of a diffuse-interface tumor-growth model
- (2015) Danielle Hilhorst et al. MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES
- Proposal of a hybrid approach for tumor progression and tumor-induced angiogenesis
- (2015) Patricio Cumsille et al. Theoretical Biology and Medical Modelling
- Relating phase field and sharp interface approaches to structural topology optimization
- (2014) Luise Blank et al. ESAIM-CONTROL OPTIMISATION AND CALCULUS OF VARIATIONS
- A stable scheme for a nonlinear, multiphase tumor growth model with an elastic membrane
- (2014) Ying Chen et al. International Journal for Numerical Methods in Biomedical Engineering
- Tumor growth in complex, evolving microenvironmental geometries: A diffuse domain approach
- (2014) Ying Chen et al. JOURNAL OF THEORETICAL BIOLOGY
- A hybrid ten-species phase-field model of tumor growth
- (2014) E. A. B. F. Lima et al. MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES
- Analysis and numerical solution of stochastic phase-field models of tumor growth
- (2014) Ernesto A. B. F. Lima et al. NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS
- Necrosis and apoptotic index as prognostic factors in non-small cell lung carcinoma: a review
- (2014) Charalampos Gkogkou et al. SpringerPlus
- Histologic Tumor Necrosis Is an Independent Prognostic Indicator for Clear Cell and Papillary Renal Cell Carcinoma
- (2012) Martin Pichler et al. AMERICAN JOURNAL OF CLINICAL PATHOLOGY
- Multispecies model of cell lineages and feedback control in solid tumors
- (2012) H. Youssefpour et al. JOURNAL OF THEORETICAL 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
- THERMODYNAMICALLY CONSISTENT, FRAME INDIFFERENT DIFFUSE INTERFACE MODELS FOR INCOMPRESSIBLE TWO-PHASE FLOWS WITH DIFFERENT DENSITIES
- (2011) HELMUT ABELS et al. MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES
- Hypoxia-inducible factor-1-dependent mechanisms of vascularization and vascular remodelling
- (2010) S. Rey et al. CARDIOVASCULAR RESEARCH
- Tumor necrosis is a new promising prognostic factor in colorectal cancer
- (2010) Marion J. Pollheimer et al. HUMAN PATHOLOGY
- Predictions of tumour morphological stability and evaluation against experimental observations
- (2010) K. Pham et al. Journal of the Royal Society Interface
- Three-dimensional multispecies nonlinear tumor growth—II: Tumor invasion and angiogenesis
- (2010) Hermann B. Frieboes et al. JOURNAL OF THEORETICAL BIOLOGY
- GENERAL DIFFUSE-INTERFACE THEORIES AND AN APPROACH TO PREDICTIVE TUMOR GROWTH MODELING
- (2010) J. TINSLEY ODEN et al. MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES
- Fluidization of tissues by cell division and apoptosis
- (2010) J. Ranft et al. PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES OF THE UNITED STATES OF AMERICA
- Numerical simulations of immiscible fluid clusters
- (2008) Robert Nürnberg APPLIED NUMERICAL MATHEMATICS
- Multiphase modelling of tumour growth and extracellular matrix interaction: mathematical tools and applications
- (2008) Luigi Preziosi et al. JOURNAL OF MATHEMATICAL BIOLOGY
- Nonlinear simulations of solid tumor growth using a mixture model: invasion and branching
- (2008) Vittorio Cristini et al. JOURNAL OF MATHEMATICAL BIOLOGY
- A user’s guide to PDE models for chemotaxis
- (2008) T. Hillen et al. JOURNAL OF MATHEMATICAL BIOLOGY
- A New Ghost Cell/Level Set Method for Moving Boundary Problems: Application to Tumor Growth
- (2008) Paul Macklin et al. JOURNAL OF SCIENTIFIC COMPUTING
- Three-dimensional multispecies nonlinear tumor growth—I
- (2008) S.M. Wise et al. JOURNAL OF THEORETICAL BIOLOGY
Discover Peeref hubs
Discuss science. Find collaborators. Network.
Join a conversationAsk a Question. Answer a Question.
Quickly pose questions to the entire community. Debate answers and get clarity on the most important issues facing researchers.
Get Started