We review some of the recent advances in level-set methods and their applications. In
particular, we discuss how to impose boundary conditions at irregular domains and free …

We present a review on numerical methods for simulating multiphase and free surface flows.
We focus in particular on numerical methods that seek to preserve the discontinuous nature …

Pulsed electric field (PEF) was conducted for the extraction of proteins/C-Phycocyanins from
Arthrospira platensis. The cyanobacterial suspension was treated with 1 µs long pulses at …

A B-spline level set (BLS) based method is proposed for shape reconstruction in electrical
impedance tomography (EIT). We assume that the conductivity distribution to be …

We present a simple numerical algorithm for solving elliptic equations where the diffusion
coefficient, the source term, the solution and its flux are discontinuous across an irregular …

Molecular diffusive membranes play crucial roles in the field of microfluidics for biological
applications eg, 3D cell culture and biosensors. Hydrogels provide a range of benefits such …

We introduce a numerical framework that enables unprecedented direct numerical studies of
the electropermeabilization effects of a cell aggregate at the meso-scale. Our simulations …

Efficient numerical schemes for solving the Poisson equation with jump conditions are of
great interest for a variety of problems, including the modeling of electroporation …

We present a simple framework for calculating the electric potential by solving the nonlinear
Poisson-Boltzmann equation and the free solvation energies of large biomolecules. To …

We simulate the electrical response of multiple disjoint biological three-dimensional cells
undergoing an electropermeabilization process. Instead of solving the boundary value …