Tumor growth model for ductal carcinoma: from in situ phase to stroma invasion
type: Distribution
access URL: https://inria.hal.science/hal-00962163
format: HTML
issued: 2026-05-05T21:47:57.565768
modified: 2026-05-05T21:47:57.545431

test_moissonnage_selune
type: Agent

Tumor growth model for ductal carcinoma: from in situ phase to stroma invasion
type: Dataset
contact point: Organization
  fn: CCSD
keyword: tumor-growth-model
keyword: metalloproteinases
keyword: nonlinear-advection-equations
keyword: infoinfo-mocomputer-science-csmodeling-and-simulation
keyword: infoeu-reposemanticsreport
keyword: breast-cancer
keyword: sdvcanlife-sciences-q-biocancer
keyword: reports
keyword: mathmath-apmathematics-mathanalysis-of-pdes-mathap
keyword: kedem-katchalsky-conditions
landing page: https://inria.hal.science/hal-00962163
description: We propose a tumor growth model, based on partial differential equations, for breast ductal carcinoma. In particular, we focus on the transition from the in situ stage to the invasive phase, under the action of specific enzymes: matrix metalloproteinases (MMPs), that are produced by cancer cells. Advection equations describe the movement of biological cells, generated by cancer cell proliferation that exerts pressure on the surrounding tissues. In its early phase, ductal carcinoma remains confined to the galactophoric duct due to the membrane. However, as soon as MMPs enzymes are produced, they are able to degrade the membrane, which leads to cancer invasion. The specificity of the model lies in the description of these phenomena and the modeling of the duct membrane degradation, thanks to nonlinear Kedem-Kalchalski type transmission conditions to describe the pressure.
identifier: Report N°: RR-8502
issued: 2026-05-05T21:47:57.563314
language: en
modified: 2026-05-05T21:47:57.563319