Peer-reviewedCC BY-NC-ND 4.0Mathematical Biosciences
Tumor growth and immune response: On the impact of the space-structuration of the tumor microenvironment
Abstract
We use a model inspired from mixture theory to describe tumor growth, its interaction with the environment, its needs of nutrients and oxygen supply, and the effects of the immune response. The latter might have a dual nature, since the expected antitumor mechanisms can be perverted at the tumor advantage. The PDE system brings out crucial features of the space organization in shaping tumor expansion or the efficiency of the immune response. In particular, our two-dimensional numerical experiments exhibit equilibrium phases, with a residual tumor kept under control by the immune system. They also show possible displacement of the tumor core, where small volume fractions are able to find an environment favorable to tumor expansion.
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BibTeX
@article{fotso2026tumor,
title = {{Tumor growth and immune response: On the impact of the space-structuration of the tumor microenvironment}},
author = {Christian Tayou Fotso and Fabienne Anjuère and Veronique M Braud and Florence Hubert and Thierry Goudon},
journal = {Mathematical Biosciences},
year = {2026},
month = oct,
doi = {10.1016/j.mbs.2026.109650},
url = {https://hal.science/hal-05528608v1},
note = {CC BY-NC-ND 4.0},
}
RIS
TY - JOUR
TI - Tumor growth and immune response: On the impact of the space-structuration of the tumor microenvironment
AU - Christian Tayou Fotso
AU - Fabienne Anjuère
AU - Veronique M Braud
AU - Florence Hubert
AU - Thierry Goudon
PY - 2026
DA - 2026/10/09
JO - Mathematical Biosciences
DO - 10.1016/j.mbs.2026.109650
UR - https://hal.science/hal-05528608v1
AB - We use a model inspired from mixture theory to describe tumor growth, its interaction with the environment, its needs of nutrients and oxygen supply, and the effects of the immune response. The latter might have a dual nature, since the expected antitumor mechanisms can be perverted at the tumor advantage. The PDE system brings out crucial features of the space organization in shaping tumor expansion or the efficiency of the immune response. In particular, our two-dimensional numerical experiments exhibit equilibrium phases, with a residual tumor kept under control by the immune system. They also show possible displacement of the tumor core, where small volume fractions are able to find an environment favorable to tumor expansion.
SN - 0025-5564
ER -