34 citations · 73 across the 16 of their papers we have counts for
4 papers · 1 filter
Oscillatory Survival Probability: Analytical, Numerical Study for oscillatory narrow escape and applications to neural network dynamics
K. Dao Duc, Z. Schuss, D. Holcman
We study the escape of Brownian motion from the domain of attraction of a stable focus with a strong drift. The boundary of is an unstable limit cycle of the d…
Why so many sperm cells?
K. Reynaud Z. Schuss, N. Rouach, D. Holcman
A key limiting step in fertility is the search for the oocyte by spermatozoa. Initially, there are tens of millions of sperm cells, but a single one will make it to the oocyte. Thi…
Residence times of receptors in dendritic spines analyzed by simulations in empirical domains
N. Hoze, D. Holcman
Analysis of high-density superresolution imaging of receptors reveal the organization of dendrites at the nano-scale resolution. We present here simulations in empirical live cell…
Oscillatory survival probability and eigenvalues of the non-self adjoint Fokker-Planck operator
David Holcman, Zeev Schuss
We demonstrate the oscillatory decay of the survival probability of the stochastic dynamics $d\x_\eps=\mb{a}(\x_\eps)\, dt +\sqrt{2\eps}\,\mb{b}(\x_\eps)\,d\w$, which is activated…