First passage time (FPT) theory is often used to estimate timescales in cellular and
molecular biology. While the overwhelming majority of studies have focused on the time it …

Consider N independently diffusing particles that reversibly bind to a target. We study a
problem recently introduced by Grebenkov of finding the first passage time (FPT) for K of the …

Many biological processes are initiated when diffusing extracellular reactants reach
receptors on a cell membrane. Calculating this arrival rate has therefore attracted theoretical …

Recent experimental works have implicated astrocytes as a significant cell type underlying
several neuronal processes in the mammalian brain, from encoding sensory information to …

From nutrient uptake to chemoreception to synaptic transmission, many systems in cell
biology depend on molecules diffusing and binding to membrane receptors. Mathematical …

The first time a searcher finds a target is called a first passage time (FPT). In many physical,
chemical, and biological processes, the searcher is “mortal,” which means that the searcher …

Recent experimental evidence has shown that glial cells, including microglia and astrocytes,
can ensheathe synapses, positioning them to disrupt neurotransmitter flow between pre-and …

Many games in which chance plays a role can be simulated as a random walk over a graph
of possible configurations of board pieces, cards, dice or coins. The end of the game …