Absence of convection in solid tumors caused by raised interstitial fluid pressure severely limits success of chemotherapy -- a numerical study in cancers

DOI10.3934/MBE.2020325zbMath1470.92143OpenAlexW3085783522WikidataQ101116933 ScholiaQ101116933MaRDI QIDQ2047870

Udo Schumacher, Gero Wedemann, Bertin Hoffmann

Publication date: 4 August 2021

Published in: Mathematical Biosciences and Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/mbe.2020325

zbMATH Keywords

parameter estimationtumor growthcomputer simulationmathematical modeltumor interstitial fluid pressurehypoxic and necrotic fractionstherapeutic efficacy

Mathematics Subject Classification ID

Medical applications (general) (92C50) Qualitative investigation and simulation of ordinary differential equation models (34C60) Physiological flow (92C35)

Uses Software

• WebPlotDigitizer

Cites Work

• A mathematical model of cycle-specific chemotherapy
• A mathematical model of breast cancer development, local treatment and recurrence
• A mathematical model of systemic inhibition of angiogenesis in metastatic development

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