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

Manon Deville 1, 2 Roberto Natalini 3 Clair Poignard 1, 2
2 MONC - Modélisation Mathématique pour l'Oncologie
IMB - Institut de Mathématiques de Bordeaux, Inria Bordeaux - Sud-Ouest, Institut Bergonié - CRLCC Bordeaux
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 space. The effect of the matrix degrading enzymes on both the tissue’s composition and its mechanical response is included in the model. Numerical simulations in 1D, 2D and axisymmetric (3D) configurations show how an injection of matrix degrading enzymes alters the porosity of a biological tissue. We eventually exhibit 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 data.
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Manon Deville, Roberto Natalini, Clair Poignard. A continuum mechanics model of enzyme-based tissue degradation in cancer therapies. [Research Report] RR-9030, Inria Bordeaux Sud-Ouest; IMB - Institut de Mathématiques de Bordeaux; Université de Bordeaux; IAC - Istituto per le Applicazioni del Calcolo "M. Picone", Consiglio Nazionale delle Ricerche. 2017. ⟨hal-01469180v2⟩

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