Hyuntae Cho

TL;DR: It was shown that treating hATSC cultures with nanoscale particles could lead to active cell proliferation and self-renewal and could promote nuclear Dicer-regulation of several functional molecules, Oct4 and Glutathione peroxidase 3 (GPx3), and the abundance of specific functional proteins that have been observed using biochemical analysis.

TL;DR: Numerical results support the inference that the proposed method converges in $L^\infty$ norms even when velocities and pressures are not smooth across the interface and can handle a large density ratio that is likely to appear in a real-world simulation.

TL;DR: Several numerical results demonstrate that the proposed method is indeed second-order accurate in the solution and its gradient in the $$L^{2}$$ and $$L^{\infty }$$ norms.

TL;DR: Numerical experiments support the conclusion that the proposed methods for convection-diffusion equations and level-set advection are necessary for the second-order convergence solution and the interface position.