Warning: Undefined array key "mm" in /www/wwwroot/www.ai-bt.com/si.php on line 10 Deprecated: trim(): Passing null to parameter #1 ($string) of type string is deprecated in /www/wwwroot/www.ai-bt.com/si.php on line 10 Exact Green's function of the reversible diffusion-influenced reaction for an isolated pair in two dimensions.

Literature DB >> 22894329

Exact Green's function of the reversible diffusion-influenced reaction for an isolated pair in two dimensions.

Thorsten Prüstel¹, Martin Meier-Schellersheim.

Abstract

We derive an exact Green's function of the diffusion equation for a pair of disk-shaped interacting particles in two dimensions subject to a backreaction boundary condition. Furthermore, we use the obtained function to calculate exact expressions for the survival probability and the time-dependent rate coefficient for the initially unbound pair and the survival probability of the bound state. The derived expressions will be of particular utility for the description of reversible membrane-bound reactions in cell biology.

Mesh：

Year: 2012 PMID： 22894329 PMCID： PMC3422329 DOI： 10.1063/1.4737662

Source DB: PubMed Journal: J Chem Phys ISSN： 0021-9606 Impact factor: 3.488

6 in total

Review 1. Spatial organization of transmembrane receptor signalling.

Authors: Ioanna Bethani; Sigrid S Skånland; Ivan Dikic; Amparo Acker-Palmer
Journal: EMBO J Date: 2010-08-18 Impact factor: 11.598

2. Excited-state reversible geminate recombination in two dimensions.

Authors: Kihyun Park; Kook Joe Shin; Hyojoon Kim
Journal: J Chem Phys Date: 2009-10-21 Impact factor: 3.488

3. Simulating biochemical networks at the particle level and in time and space: Green's function reaction dynamics.

Authors: Jeroen S van Zon; Pieter Rein ten Wolde
Journal: Phys Rev Lett Date: 2005-04-01 Impact factor: 9.161

4. Introduction: 100 years of Brownian motion.

Authors: Peter Hänggi; Fabio Marchesoni
Journal: Chaos Date: 2005-06 Impact factor: 3.642

5. Green's-function reaction dynamics: a particle-based approach for simulating biochemical networks in time and space.

Authors: Jeroen S van Zon; Pieter Rein ten Wolde
Journal: J Chem Phys Date: 2005-12-15 Impact factor: 3.488

6. Elementary steps in excited-state proton transfer.

Authors: Noam Agmon
Journal: J Phys Chem A Date: 2005-01-13 Impact factor: 2.781

6 in total

9 in total

1. Theory of bi-molecular association dynamics in 2D for accurate model and experimental parameterization of binding rates.

Authors: Osman N Yogurtcu; Margaret E Johnson
Journal: J Chem Phys Date: 2015-08-28 Impact factor: 3.488

Exact Green's function of the reversible diffusion-influenced reaction for an isolated pair in two dimensions.

Review 1. Spatial organization of transmembrane receptor signalling.

2. Excited-state reversible geminate recombination in two dimensions.

3. Simulating biochemical networks at the particle level and in time and space: Green's function reaction dynamics.

4. Introduction: 100 years of Brownian motion.

5. Green's-function reaction dynamics: a particle-based approach for simulating biochemical networks in time and space.

6. Elementary steps in excited-state proton transfer.

1. Theory of bi-molecular association dynamics in 2D for accurate model and experimental parameterization of binding rates.

2. Reversible diffusion-influenced reactions of an isolated pair on some two dimensional surfaces.

3. Unified path integral approach to theories of diffusion-influenced reactions.

4. Rate coefficients, binding probabilities, and related quantities for area reactivity models.

5. Theory of reversible diffusion-influenced reactions with non-Markovian dissociation in two space dimensions.

6. The area reactivity model of geminate recombination.

7. Quantifying the roles of space and stochasticity in computer simulations for cell biology and cellular biochemistry.

8. Space-time histories approach to fast stochastic simulation of bimolecular reactions.

9. Diffusion in a disk with inclusion: Evaluating Green's functions.