A Stochastic Model of Cancer Cell Adhesion in Stokes Flow

Abstract

In this work, a stochastic model that relates cell ratio(η), that is the ratio of cells that have adhesion sufficient to withstand the shear they are subjected normalized by the initial number of cells to the non-dimensional shear rate (γ∗) is developed. This model arises from a double-Gaussian fit of the rate of change of η with respect to γ∗ which was obtained from experimental datasets. Using this model and coupling it with computational datasets from a prediction of the number of cells that exist with particular flow do-mains with prescribed initial conditions is obtained with a maximum error of 34%.