392 citations · 2.1k across the 15 of their papers we have counts for
5 papers · 1 filter
Voter Models on Heterogeneous Networks
V. Sood, Tibor Antal, S. Redner
We study simple interacting particle systems on heterogeneous networks, including the voter model and the invasion process. These are both two-state models in which in an update ev…
Molecular Spiders in One Dimension
Tibor Antal, P. L. Krapivsky, Kirone Mallick
Molecular spiders are synthetic bio-molecular systems which have "legs" made of short single-stranded segments of DNA. Spiders move on a surface covered with single-stranded DNA se…
Molecular Spiders with Memory
Tibor Antal, P. L. Krapivsky
Synthetic bio-molecular spiders with "legs" made of single-stranded segments of DNA can move on a surface which is also covered by single-stranded segments of DNA complementary to…
Dynamics of Microtubule Growth and Catastrophe
T. Antal, P. L. Krapivsky, S. Redner +2
We investigate a simple model of microtubule dynamics in which a microtubule evolves by: (i) attachment of guanosine triphosphate (GTP) to its end at rate lambda, (ii) GTP converti…
Exact steady-state velocity of ratchets driven by random sequential adsorption
Maria R. D'Orsogna, Tom Chou, Tibor Antal
We solve the problem of discrete translocation of a polymer through a pore, driven by the irreversible, random sequential adsorption of particles on one side of the pore. Although…