Tumor grows to low extracellular matrix conductivity region under Darcy’s law and steady morphology

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Abstract

We study a classic Darcy’s law model for tumor cell motion with inhomogeneous and isotropic conductivity. The tumor cells are assumed to be a constant density fluid flowing through porous extracellular matrix (ECM). The ECM is assumed to be rigid and motionless with constant porosity. One and two dimensional simulations show that the tumor mass grows from high to low conductivity regions when the tumor morphology is steady. In the one-dimensional case, we proved that when the tumor size is steady, the tumor grows towards lower conductivity regions. We conclude that this phenomenon is produced by the coupling of a special inward flow pattern in the steady tumor and Darcy’s law which gives faster flow speedin higher conductivity regions.
Original languageEnglish
StatePublished - Jul 13 2022
EventSIAM conference on Life Sciences - Pittsburgh, PA
Duration: Jul 13 2022Jul 13 2022

Conference

ConferenceSIAM conference on Life Sciences
Period07/13/2207/13/22

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