21 citations · 50 across the 9 of their papers we have counts for
9 papers
Path integral approach to theories of diffusion-influenced reactions
Thorsten Prüstel, Martin Meier-Schellersheim
The path decomposition expansion represents the propagator of the irreversible reaction as a convolution of the first-passage, last-passage and rebinding time probability densities…
Exact propagation without analytical solutions
Thorsten Prüstel, Martin Meier-Schellersheim
We present a simulation algorithm that accurately propagates a molecule pair using large time steps without the need to invoke the full exact analytical solutions of the Smoluchows…
Quantum mechanical inspired factorization of the molecule pair propagator in theories of diffusion-influenced reactions
Thorsten Prüstel, Martin Meier-Schellersheim
Building on mathematical similarities between quantum mechanics and theories of diffusion-influenced reactions, we discuss how the propagator of a reacting molecule pair can be rep…
General theory of area reactivity models: rate coefficients, binding probabilities and all that
Thorsten Prüstel, Martin Meier-Schellersheim
We further develop the general theory of the area reactivity model that provides an alternative description of the diffusion-influenced reaction of an isolated receptor-ligand pair…
Exact solution of the area reactivity model of an isolated pair
Thorsten Prüstel, Martin Meier-Schellersheim
We investigate the reversible diffusion-influenced reaction of an isolated pair in two space dimensions in the context of the area reactivity model. We compute the exact Green's fu…
Reversible diffusion-influenced reactions of an isolated pair on two dimensional surfaces
Thorsten Prüstel, M. Tachiya
We investigate reversible diffusion-influenced reactions of an isolated pair in two dimensions. To this end, we employ convolution relations that permit deriving the survival proba…