Using poro-elasticity to model the large deformation of tissue during subcutaneous injection. (English) Zbl 1506.74109
Summary: Subcutaneous injection of therapeutic monoclonal antibodies (mAbs) has recently attracted unprecedented interests in the pharmaceutical industry. The drug transport in the tissue and mechanical response of the tissue after injection are not yet well-understood. We are motivated to study subcutaneous injection using poro-elasticity, including linear and nonlinear poro-elastic models. We first present the fixed-stress split of the nonlinear model and perform convergence studies under spatial and temporal refinements. We then investigate the model assumption of the linear model using numerical solutions. In the case of small permeability, the linear model is not adequate to account for the large deformation of the tissue due to injection. Next, we adopt a nonlinear poro-elastic model to study subcutaneous injection. For large deformation, numerical solutions of the nonlinear model differ significantly from that of the linear model, especially near the injection site.
MSC:
| 74F10 | Fluid-solid interactions (including aero- and hydro-elasticity, porosity, etc.) |
| 74L15 | Biomechanical solid mechanics |
Keywords:
subcutaneous injection; nonlinear poro-elasticity; fixed-stress split; large deformation; finite element methodReferences:
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