MODELING THE EVOLUTION OF A TUMORAL MULTICELLULAR SPHEROID AS A TWO-FLUID BINGHAM-LIKE SYSTEM
From MaRDI portal
Publication:2868744
DOI10.1142/S0218202513500401zbMath1280.92019OpenAlexW2149108519MaRDI QIDQ2868744
Alessandro Bertuzzi, Fasano, Antonio, Alberto Gandolfi, Carmela Sinisgalli
Publication date: 19 December 2013
Published in: Mathematical Models and Methods in Applied Sciences (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1142/s0218202513500401
PDEs in connection with biology, chemistry and other natural sciences (35Q92) Medical applications (general) (92C50) Physiological flow (92C35) Computational methods for problems pertaining to biology (92-08)
Cites Work
- Unnamed Item
- A history of the study of solid tumour growth: the contribution of mathematical modelling
- Response of tumor spheroids to radiation: Modeling and parameter estimation
- Diffusion regulated growth characteristics of a spherical prevascular carcinoma
- A model combining acid-mediated tumour invasion and nutrient dynamics
- A hierarchy of cancer models and their mathematical challenges
- A two-phase model of solid tumour growth
- Growth of necrotic tumors in the presence and absence of inhibitors
- The role of cell-cell interactions in a two-phase model for avascular tumour growth
- Investigating the steady state of multicellular spheroids by revisiting the two-fluid model
- ATP Production and Necrosis Formation in a Tumour Spheroid Model
- SELECTION AND ASSESSMENT OF PHENOMENOLOGICAL MODELS OF TUMOR GROWTH
- A MULTIPHASE MODEL OF TUMOR AND TISSUE GROWTH INCLUDING CELL ADHESION AND PLASTIC REORGANIZATION
- ON THE FOUNDATIONS OF CANCER MODELLING: SELECTED TOPICS, SPECULATIONS, AND PERSPECTIVES
- GENERAL DIFFUSE-INTERFACE THEORIES AND AN APPROACH TO PREDICTIVE TUMOR GROWTH MODELING
- A Free Boundary Problem with Unilateral Constraints Describing the Evolution of a Tumor Cord Under the Influence of Cell Killing Agents
- Modelling solid tumour growth using the theory of mixtures
- Models for the Growth of a Solid Tumor by Diffusion
- A MATHEMATICAL MODEL FOR TUMOR CORDS INCORPORATING THE FLOW OF INTERSTITIAL FLUID
- Nonlinear modelling of cancer: bridging the gap between cells and tumours
- Analysis of a mathematical model of the growth of necrotic tumors
