Highlights•Analogies between gene expression, target-search and heterogeneous
catalysis.•The fractal geometry of the nucleus architecture drives TFs diffusion.•Diffusion of …

Many events in biology are triggered when a diffusing searcher finds a target, which is called
a first passage time (FPT). The overwhelming majority of FPT studies have analyzed the time …

We derive a thermodynamic uncertainty relation (TUR) for first-passage times (FPTs) on
continuous time Markov chains. The TUR utilizes the entropy production coming from …

Two-dimensional (2D) turbulence features an inverse energy cascade that produces large-
scale flow structures such as large-scale vortices (LSVs) and unidirectional jets. We …

Cover times measure the speed of exhaustive searches which require the exploration of an
entire spatial region (s). Applications include the immune system hunting pathogens …

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 …

Many physical, chemical, and biological systems depend on the first passage time (FPT) of a
diffusive searcher to a target. Typically, this FPT is much slower than the characteristic …

We develop mathematical models describing the evolution of stochastic age-structured
populations. After reviewing existing approaches, we formulate a complete kinetic …

The first of N identical independently distributed (iid) Brownian trajectories that arrives to a
small target sets the time scale of activation, which in general is much faster than the arrival …

The problem of reconciling a prior probability law on paths with data was introduced by E.
Schrödinger in 1931/32. It represents an early formulation of a maximum likelihood problem …