Abstract Dense fibrous extracellular constitution of solid tumors exerts high resistance to diffusive transport into it; additionally, the scarcity blood and lymphatic flows hinders convection. The complexity fluidic mechanisms in such tumor environments still presents open questions with translational end goals. For example, clinical diagnosis targeted drug delivery platforms for dense can ide...

1. Abstract We present an adaptive proper orthogonal decomposition (POD)-Krylov reduced-order model (ROM) for structural optimization. At each step of the optimization loop, we compute approximate solutions to the structural state and sensitivity equations using a novel POD-augmented conjugate gradient (CG) algorithm. This algorithm consists of three stages. In the first two stages, the solutio...

We present a reduced-order model for electrically actuated microplate-based MEMS. The model accounts for the electric force nonlinearity and the mid-plane stretching of the plate. The linear undamped vibration modes are found numerically using the hierarchical finite-element method. These mode shapes are used in a Galerkin approximation to reduce the partialdifferential equations of motion and ...