59 citations · 427 across the 55 of their papers we have counts for
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Computational methods and fast hybrid stochastic simulations for triangulation sensing and identifying principles of cell navigation in the brain
Ulrich Dobramysl, David Holcman
Brownian simulations can be used to generate statistics relevant for studying molecular interactions or trafficking. However, the concurrent simulation of many Brownian trajectorie…
Preface: New trends in first-passage methods and applications in the life sciences and engineering
Denis S. Grebenkov, David Holcman, Ralf Metzler
This is the preface to the special issue of the Journal of Physics A: Mathematical and Theoretical, entitled "New trends in first-passage methods and applications in the life scien…
Asymptotics for the fastest among n stochastics particles: role of an extended initial distribution and an additional drift component
Suney Toste, David Holcman
We derive asymptotic formulas for the mean exit time of the fastest among identical independently distributed Brownian particles to an absorbing boundary for variou…
Exit versus escape in a stochastic dynamical system of neuronal networks explains heterogenous bursting intervals
Lou Zonca, David Holcman
Neuronal networks can generate burst events. It remains unclear how to analyse interburst periods and their statistics. We study here the phase-space of a mean-field model, based o…
Escape from an attractor generated by recurrent exit
Lou Zonca, David Holcman
Kramer's theory of activation over a potential barrier consists in computing the mean exit time from the boundary of a basin of attraction of a randomly perturbed dynamical system.…
Extreme escape from a cusp: when does geometry matter for the fastest Brownian particles moving in crowded cellular environments?
K. Basnayake, D. Holcman
We study here the extreme statistics of Brownian particles escaping from a cusp funnel: the fastest Brownian particles among follow an ensemble of optimal trajectories located…