A two-fluid model for tissue growth within a dynamic flow environment
From MaRDI portal
Publication:3535682
DOI10.1017/S0956792508007687zbMath1256.92015OpenAlexW2116716083WikidataQ63516949 ScholiaQ63516949MaRDI QIDQ3535682
Helen M. Byrne, Sarah L. Waters, Reuben D. O'Dea
Publication date: 13 November 2008
Published in: European Journal of Applied Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1017/s0956792508007687
PDEs in connection with biology, chemistry and other natural sciences (35Q92) Biomechanics (92C10) Physiology (general) (92C30) Physiological flow (92C35)
Related Items (15)
Mathematical modelling of fibre-enhanced perfusion inside a tissue-engineering bioreactor ⋮ An investigation of the influence of extracellular matrix anisotropy and cell-matrix interactions on tissue architecture ⋮ The influence of hydrostatic pressure on tissue engineered bone development ⋮ A MULTIPHASE MULTISCALE MODEL FOR NUTRIENT LIMITED TISSUE GROWTH ⋮ Mathematical model of growth factor driven haptotaxis and proliferation in a tissue engineering scaffold ⋮ The interplay between tissue growth and scaffold degradation in engineered tissue constructs ⋮ A multi-scale analysis of drug transport and response for a multi-phase tumour model ⋮ A numerical method for the multiphase viscous flow equations ⋮ Cyclic loading of growing tissue in a bioreactor: mathematical model and asymptotic analysis ⋮ A mathematical model for mesenchymal and chemosensitive cell dynamics ⋮ A MATHEMATICAL MODEL FOR CELL-INDUCED GEL COMPACTION IN VITRO ⋮ A thin-film extensional flow model for biofilm expansion by sliding motility ⋮ Multiphase modelling of vascular tumour growth in two spatial dimensions ⋮ Homogenization of oxygen transport in biological tissues ⋮ Computational modelling of multiscale, multiphase fluid mixtures with application to tumour growth
Cites Work
- Unnamed Item
- Chemotactic signaling, microglia, and Alzheimer's disease senile plaques: Is there a connection?
- A history of the study of solid tumour growth: the contribution of mathematical modelling
- On macroscopic equations governing multiphase flow with diffusion and chemical reactions in porous media
- Initiation of slime mold aggregation viewed as an instability
- Model for chemotaxis
- Mathematical model of prevascular growth of a spherical carcinoma
- A two-phase model of solid tumour growth
- Mathematical biology. Vol. 1: An introduction.
- Modelling the early growth of ductal carcinoma in situ of the breast
- Growth of nonnecrotic tumors in the presence and absence of inhibitors
- Mathematical modelling of engineered tissue growth using a multiphase porous flow mixture theory
- Mathematical modelling of the loss of tissue compression responsiveness and its role in solid tumour development
- Interactions between a uniformly proliferating tumour and its surroundings: uniform material properties
- A three-dimensional model of cell movement in multicellular systems
- Mathematical analysis of some multi-dimensional tissue-growth models
- Modelling solid tumour growth using the theory of mixtures
- Multiphase modelling of cell behaviour on artificial scaffolds: effects of nutrient depletion and spatially nonuniform porosity
- A Mixture Theory for the Genesis of Residual Stresses in Growing Tissues I: A General Formulation
- Averaged Equations for Two‐Phase Flows
- Models for the Growth of a Solid Tumor by Diffusion
This page was built for publication: A two-fluid model for tissue growth within a dynamic flow environment
