Multiscale Modelling, Analysis and Simulation of Cancer Invasion Mediated by Bound and Soluble Enzymes
by Mariya Ptashnyk and Chandrasekhar Venkataraman
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We develop a framework in which cell-scale models for ECM degradation by bound and soluble matrix degrading enzymes (MDEs) can be incorporated within a macroscopic model for cancer cell invasion of the ECM. Also, we propose a methodology for computing the effective diffusivity of soluble molecules in a tissue made up of cancer cells and ECM with varying volume fractions. We analyse the coupled system of ODE-PDEs that serves as an effective model for cancer cell invasion of the ECM and present numerical simulation results of invasive processes. Interestingly, we observe the crucial role bound MDEs appear to play in determining both the speed of invasion and spatial heterogeneity in the invasive front, consistent with previous experiments.
Multiscale Modelling, Analysis and Simulation of Cancer Invasion Mediated by Bound and Soluble Enzymes
