Mass-preserving approximation of a chemotaxis multi-domain transmission model for microfluidic chips
t. The present work was inspired by the recent developments in laboratory experiments made on chip, where culturing of multiple cell species was
possible. The model is based on coupled reaction-diffusion-transport equations
with chemotaxis, and takes into account the interactions among cell populations and the possibility of drug administration for drug testing effects.
Our effort was devoted to the development of a simulation tool that is able to
reproduce the chemotactic movement and the interactions between different
cell species (immune and cancer cells) living in microfluidic chip environment.
The main issues faced in this work are the introduction of mass-preserving
and positivity-preserving conditions involving the balancing of incoming and
outgoing fluxes passing through interfaces between 2D and 1D domains of the
chip and the development of mass-preserving and positivity preserving numerical conditions at the external boundaries and at the interfaces between 2D
and 1D domains