Jacob Brett Madrid

Journal Article Journal of Physics A: Mathematical and Theoretical · August 21, 2020 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 diffusion timescale. For example, this is the case if the target is small ... Full text Cite

A Probabilistic Approach to Extreme Statistics of Brownian Escape Times in Dimensions 1, 2, and 3

Journal Article Journal of Nonlinear Science · June 1, 2020 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 takes a given single Brownian searcher to reach a target, cellular processes are ... Full text Cite

First passage time distribution of multiple impatient particles with reversible binding.

Journal Article The Journal of chemical physics · June 2019 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 N particles to be simultaneously bound to the target. Since binding is r ... Full text Cite