The placenta is a multifunctional organ that exchanges blood gases and nutrients between a
mother and her developing fetus. In humans, fetal blood flows through intricate networks of …

We consider a fractional phase-field crystal (FPFC) model in which the classical Swift–
Hohenberg equation (SHE) is replaced by a fractional order Swift–Hohenberg equation …

When modeling transport of a chemical species to a colony of bacteria in a biofilm, it is
computationally expensive to treat each bacterium even as a point sink, let alone to capture …

Motivated by uncertainty quantification in natural transport systems, we investigate an
individual-based transport process involving particles undergoing a random walk along a …

Transport in biological systems often occurs in complex spatial environments involving
random structures. Motivated by such applications, we investigate an idealized model for …

We investigate the transport of a solute past isolated sinks in a bounded domain when
advection is dominant over diffusion, evaluating the effectiveness of homogenization …

Solute transport often takes place in spatially complex domains with inherently
heterogeneous structures, such as in biological tissue and geophysical flows. Due to the …

Transport phenomena in nature occur in spatially complex and heterogeneous systems,
such as the lung and the placenta. Motivated by such examples, we seek to characterise the …