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The Steady State of Multicellular Tumour Spheroids: A Modelling Challenge - MaRDI portal

The Steady State of Multicellular Tumour Spheroids: A Modelling Challenge (Q2820380)

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Language	Label	Description	Also known as
English	The Steady State of Multicellular Tumour Spheroids: A Modelling Challenge	scientific article

Statements

scholarly article

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The Steady State of Multicellular Tumour Spheroids: A Modelling Challenge (English)

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Fasano, Antonio

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Alberto Gandolfi

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Lecture Notes on Mathematical Modelling in the Life Sciences

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publication date

16 September 2016

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zbMATH Keywords

avascular tumours

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tumour spheroids

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necrotic core model

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MaRDI profile type

MaRDI publication profile

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full work available at URL

https://doi.org/10.1007/978-1-4614-4178-6_7

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A mathematical model of tumor growth. III. Comparison with experiment

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Mathematical models of tumor growth. IV: Effects of a necrotic core

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Diffusion regulated growth characteristics of a spherical prevascular carcinoma

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ON THE CLOSURE OF MASS BALANCE MODELS FOR TUMOR GROWTH

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A history of the study of solid tumour growth: the contribution of mathematical modelling

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Mathematical modelling of the Warburg effect in tumour cords

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Mathematical model of tumour cord growth along the source of nutrient

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A Free Boundary Problem with Unilateral Constraints Describing the Evolution of a Tumor Cord Under the Influence of Cell Killing Agents

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ATP Production and Necrosis Formation in a Tumour Spheroid Model

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Necrotic core in EMT6/Ro tumour spheroids: is it caused by an ATP deficit?

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Response of tumor spheroids to radiation: Modeling and parameter estimation

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A model combining acid-mediated tumour invasion and nutrient dynamics

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The role of cell-cell interactions in a two-phase model for avascular tumour growth

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Growth of necrotic tumors in the presence and absence of inhibitors

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Modelling solid tumour growth using the theory of mixtures

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A two-phase model of solid tumour growth

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Mathematical modelling of the loss of tissue compression responsiveness and its role in solid tumour development

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Analysis of a mathematical model of the growth of necrotic tumors

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A hyperbolic free boundary problem modeling tumor growth

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

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Investigating the steady state of multicellular spheroids by revisiting the two-fluid model

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A hybrid cellular automaton model of clonal evolution in cancer: the emergence of the glycolytic phenotype

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Models for the Growth of a Solid Tumor by Diffusion

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A boundary condition capturing method for multiphase incompressible flow.

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Nonlinear modelling of cancer: bridging the gap between cells and tumours

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Mathematical model of prevascular growth of a spherical carcinoma

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A model for the growth of a solid tumor with non-uniform oxygen consumption

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A new approach to modelling the formation of necrotic regions in tumours

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Metabolic changes during carcinogenesis: potential impact on invasiveness

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Modelling the formation of necrotic regions in avascular tumours

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Incorporating energy metabolism into a growth model of multicellular tumor spheroids

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Identifiers

zbMATH Open document ID

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10.1007/978-1-4614-4178-6_7

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Mathematics Subject Classification ID

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zbMATH DE Number

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Sitelinks

Mathematics(1 entry)

mardi Publication:2820380

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