DEVILLE, Manon; NATALINI, Roberto; POIGNARD, Clair

doi:10.1007/s11538-018-0515-2

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DEVILLE, Manon
Institut de Mathématiques de Bordeaux [IMB]

NATALINI, Roberto
National Research Council of Italy | Consiglio Nazionale delle Ricerche [CNR]

POIGNARD, Clair
Institut de Mathématiques de Bordeaux [IMB]
Modélisation Mathématique pour l'Oncologie [MONC]

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Bulletin of Mathematical Biology. 2018

Springer Verlag

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2018

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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.< Leer menos

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Drug distribution in tissue

Mathematical biology

ECM degradation

Interstitial fluid pressure

Poroelasticity

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A continuum mechanics model of enzyme-based tissue degradation in cancer therapies

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