A continuum mechanics model of enzyme-based tissue degradation in cancer therapies
POIGNARD, Clair
Institut de Mathématiques de Bordeaux [IMB]
Modélisation Mathématique pour l'Oncologie [MONC]
Institut de Mathématiques de Bordeaux [IMB]
Modélisation Mathématique pour l'Oncologie [MONC]
POIGNARD, Clair
Institut de Mathématiques de Bordeaux [IMB]
Modélisation Mathématique pour l'Oncologie [MONC]
< Reduce
Institut de Mathématiques de Bordeaux [IMB]
Modélisation Mathématique pour l'Oncologie [MONC]
Language
en
Article de revue
This item was published in
Bulletin of Mathematical Biology. 2018
Springer Verlag
Date
2018English Abstract
We propose a mathematical model to describe enzyme-based tissue degradation in cancer therapies. The proposed model combines the poroelastic theory of mixtures with the transport of enzymes or drugs in the extracellular ...Read more >
We propose a mathematical model to describe enzyme-based tissue degradation in cancer therapies. The proposed model combines the poroelastic theory of mixtures with the transport of enzymes or drugs in the extracellular space. The effect of the matrix degrading enzymes on the tissue composition and its mechanical response are accounted for. Numerical simulations in 1D, 2D and ax-isymmetric (3D) configurations show how an injection of matrix degrading enzymes alters the porosity of a biological tissue. We eventually exhibit numerically the main consequences of a matrix degrading enzyme pretreatment in the framework of chemotherapy: the removal of the diffusive hindrance to the penetration of therapeutic molecules in tumors and the reduction of interstitial fluid pressure which improves transcapillary transport. Both effects are consistent with previous biological observations.Read less <
English Keywords
Drug distribution in tissue
Mathematical biology
ECM degradation
Interstitial fluid pressure
Poroelasticity
Origin
Hal imported