A hybrid model of tumor-stromal interactions in breast cancer
From MaRDI portal
Publication:372027
DOI10.1007/s11538-012-9787-0zbMath1272.92027OpenAlexW2171996376WikidataQ51280116 ScholiaQ51280116MaRDI QIDQ372027
Publication date: 11 October 2013
Published in: Bulletin of Mathematical Biology (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s11538-012-9787-0
Dynamical systems in biology (37N25) Medical applications (general) (92C50) Computational methods for problems pertaining to biology (92-08)
Related Items
The effects of cell compressibility, motility and contact inhibition on the growth of tumor cell clusters using the cellular Potts model ⋮ The formation of tight tumor clusters affects the efficacy of cell cycle inhibitors: a hybrid model study ⋮ Mathematical modeling and numerical simulation of the TGF-\(\beta\)/Smad signaling pathway in tumor microenvironments ⋮ Pattern formation in a nonlocal mathematical model for the multiple roles of the TGF-\(\beta\) pathway in tumour dynamics ⋮ A multiscale model for heterogeneous tumor spheroid in vitro ⋮ Differentiated cell behavior: a multiscale approach using measure theory ⋮ Cell-scale degradation of peritumoural extracellular matrix fibre network and its role within tissue-scale cancer invasion ⋮ Three-dimensional simulations of the cell growth and cytokinesis using the immersed boundary method ⋮ Coarse-graining and hybrid methods for efficient simulation of stochastic multi-scale models of tumour growth ⋮ Mathematical modelling of cancer invasion: The multiple roles of TGF-β pathway on tumour proliferation and cell adhesion ⋮ Tumor growth model of ductal carcinoma: from \textit{in situ} phase to stroma invasion ⋮ Tumor growth and calcification in evolving microenvironmental geometries ⋮ Modeling the role of TGF-\(\beta\) in regulation of the Th17 phenotype in the LPS-driven immune system ⋮ Mathematical models for immunology: current state of the art and future research directions ⋮ Hopf bifurcation in a model of TGF-\(\beta\) in regulation of the Th17 phenotype ⋮ Hybrid models of cell and tissue dynamics in tumor growth ⋮ Derivation and Application of Effective Interface Conditions for Continuum Mechanical Models of Cell Invasion through Thin Membranes ⋮ A Measure-Theoretic Model for Collective Cell Migration and Aggregation ⋮ Stochastic Multiscale Models of Cell Population Dynamics: Asymptotic and Numerical Methods ⋮ Role of senescent tumor cells in building a cytokine shield in the tumor microenvironment: mathematical modeling
Cites Work
- Mathematical analysis of a kinetic model for cell movement in network tissues
- Interaction of tumor with its micro-environment: a mathematical model
- \(M^5\) mesoscopic and macroscopic models for mesenchymal motion
- A mathematical model for pattern formation of glioma cells outside the tumor spheroid core
- A methodology for performing global uncertainty and sensitivity analysis in systems biology
- Mathematical modeling of tumor-induced angiogenesis
- A MULTIPHASE MODEL OF TUMOR AND TISSUE GROWTH INCLUDING CELL ADHESION AND PLASTIC REORGANIZATION
- A HYBRID MODEL FOR TUMOR SPHEROID GROWTH IN VITRO I: THEORETICAL DEVELOPMENT AND EARLY RESULTS
This page was built for publication: A hybrid model of tumor-stromal interactions in breast cancer
