T cell migration is essential for T cell responses; it allows for the detection of cognate antigen
at the surface of antigen-presenting cells and for interactions with other cells involved in the …

This review examines intermittent target search strategies, which combine phases of slow
motion, allowing the searcher to detect the target, and phases of fast motion during which …

We propose here a motivation for a mixed local/nonlocal problem with a new type of
Neumann condition. Our description is based on formal expansions and approximations. In …

Highly pelagic large marine vertebrates have evolved the capability of moving across large
expanses of the marine environment; some species routinely move across entire ocean …

The hypothesis that the optimal search strategy is a Lévy walk (LW) or Lévy flight, originally
suggested in 1995, has generated an explosion of interest and controversy. Long-standing …

In environments with scarce resources, adopting the right search strategy can make the
difference between succeeding and failing, even between life and death. At different scales …

The motion of phospholipids has previously been studied on many time scales due to the
significance for living cells and technological applications. The motions on a pico-to …

A hybrid asymptotic–numerical method is formulated and implemented to accurately
calculate the mean first passage time (MFPT) for the expected time needed for a predator to …

Although encounters between organisms are fundamental to many ecological processes, a
general theory of encounters that accounts for random movements and probabilistic events …

A large number of empirical studies have attributed Lévy search patterns to the foraging
movements of animals. Typically, this is done by fitting a power‐law distribution with an …