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Influence of interstitial fluid dynamics on growth and therapy of angiogenic tumor

Kuznetsov M.B., Kolobov A.V.

P.N. Lebedev Physical Institute of the Russian Academy of Sciences; 53, Leninskiy Prospekt, Moscow 119991, Russian Federation; postmaster@lebedev.ru

We present a multicomponent distributed model of malignant tumor progression and therapy, which takes into account the interstitial fluid dynamics. The model considers angiogenesis, i.e., active growth of new capillaries in tissue under the influence of tumor-derived vascular endothelial growth factor, as well as destruction of microcirculatory network due to mechanical and chemical factors. The physiological characteristics of angiogenic capillaries are taken into account, in particular their impact on change in interstitial fluid inflow in the tissue, which allows describing experimentally observed peritumoral edema and its disappearance during antiangiogenic bevacizumab monotherapy. The formation of interstitial fluid from tumor necrosis is considered as well as its transport in the peritumoral region, which allows to adequately take into account its outflow through the lymphatic system, which is located mainly outside the tumor. This makes it possible to model clinically observed cases of significant slowing of tumor growth as a result of therapeutic intervention, and also to model tumor growth stop and shrinking. Adequate description of tumor shrinking in the model is possible due to the account of convective flows in tissue, which provide the ability to normal tissue and microcirculatory network to occupy the vacated space. Influence of the parameters of interstitial fluid dynamics on tumor progression is investigated.

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