Journal article · Integrative Biology 2018
Microenvironmental Influence on Microtumour Infiltration Patterns: 3D Mathematical Modelling Supported by In Vitro Studies
Integrative Biology, Oxford University Press, 2018
Abstract
Tumour infiltration extent and its spatial organization depend both on the tumour type and stage and on the bio-physicochemical characteristics of the microenvironment. This work presents an experimental/numerical combined method for the development of a three-dimensional mathematical model with the ability to reproduce the growth and infiltration patterns of a given avascular microtumour in response to different microenvironmental conditions.
The model is based on a diffusion–convection reaction equation that considers logistic proliferation, volumetric growth, a rim of proliferative cells at the tumour surface, and invasion with diffusive and convective components. The in vitro model consists of multicellular tumour spheroids (MTSs) of an epithelial mammary tumour cell line (LM3) immersed in a collagen I gel matrix.
It was experimentally determined that adipocyte conditioned media had the ability to change the MTS infiltration pattern from collective and laminar to an individual and atomized one. Numerical simulations adequately reproduced both kinds of infiltration patterns, which were determined by area quantification, analysis of fractal dimensions and lacunarity, and Bland–Altman analysis.
The version of record is at doi:10.1039/c8ib00049b.
Cite this paper
Download .bib ↓Emmanuel Lujan, Daniela Soto, María S. Rosito, Alejandro Soba, Liliana N. Guerra, Juan C. Calvo, Guillermo Marshall and Cecilia Suárez, “Microenvironmental Influence on Microtumour Infiltration Patterns: 3D Mathematical Modelling Supported by In Vitro Studies,” Integrative Biology, Oxford University Press, 2018.
doi:10.1039/c8ib00049b
@article{lujan2018microenvironmental,
title={Microenvironmental Influence on Microtumour Infiltration Patterns: {3D} Mathematical Modelling Supported by In Vitro Studies},
author={Luj{\'{a}}n, Emmanuel and Soto, Daniela and Rosito, Mar{\'{i}}a S. and Soba, Alejandro and Guerra, Liliana N. and Calvo, Juan C. and Marshall, Guillermo and Su{\'{a}}rez, Cecilia},
journal={Integrative Biology},
volume={10},
number={5},
pages={325--334},
year={2018},
publisher={Oxford University Press},
doi={10.1039/c8ib00049b}
}