Multiphysics simulations in biomedical: fluid–structure interaction coupled with mass transfer

We propose numerical schemes to study complex multiphysics problems involving fluid–structure interaction (FSI) coupled with mass/heat transfer (HMT). We primarily use the Lattice Boltzmann Method (LBM) to compute fluid flow and the advection–diffusion–reaction of chemical entities. The dynamics and deformation of structures are computed using the Lattice Spring Method (LSM), and we implement the Immersed Boundary Method (IBM) to achieve two-way coupling of fluid–structure interaction. For biomedical applications, we study controlled drug delivery from particles subjected to flow, passage of soft particles through microfluidic constrictions, performance of artificial pancreas-on-chip, as well as contraction–relaxation of lymphatic vessels and the opening–closing of their valves.