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Journal of Chemical Physics, ISSN 0021-9606, 11/2013, Volume 139, Issue 19, p. 194103
We investigate reversible diffusion-influenced reactions of an isolated pair in two dimensions. To this end, we employ convolution relations that permit... 
PHYSICS, ATOMIC, MOLECULAR & CHEMICAL | Diffusion | Surface Properties | Cell Biology | Reaction time | Convolution | Survival | Annular | Theoretical Methods and Algorithms
Journal Article
Journal Article
Journal of Chemical Physics, ISSN 0021-9606, 03/2013, Volume 138, Issue 10, p. 104112
We investigate the reversible diffusion-influenced reaction of an isolated pair in the presence of a non-Markovian generalization of the backreaction boundary... 
DYNAMICS | PROTON-TRANSFER REACTIONS | GEMINATE RECOMBINATION | PHYSICS, ATOMIC, MOLECULAR & CHEMICAL | Probability | Algorithms | Models, Chemical | Diffusion | Approximation | Mathematical analysis | Boundary conditions | Biology | Density | Survival | Constraining | Theoretical Methods and Algorithms
Journal Article
Journal of Chemical Physics, ISSN 0021-9606, 11/2014, Volume 141, Issue 19, p. 194115
We further develop the general theory of the area reactivity model that describes the diffusion-influenced reaction of an isolated receptor-ligand pair in... 
DIFFUSION-INFLUENCED REACTION | PHYSICS, ATOMIC, MOLECULAR & CHEMICAL | Probability | Protein Binding | Receptors, Cell Surface - metabolism | Ligands | Models, Biological | Molecular Dynamics Simulation | Binding | Model testing | Reactivity | Computer simulation | Mathematical models | Equations of motion | Coefficients | Survival | ARTICLES
Journal Article
Journal of Chemical Physics, ISSN 0021-9606, 03/2014, Volume 140, Issue 11, p. 114106
We investigate the reversible diffusion-influenced reaction of an isolated pair in the context of the area reactivity model that describes the reversible... 
SPACE | DIFFUSION-INFLUENCED REACTIONS | BROWNIAN DYNAMICS SIMULATIONS | 3 DIMENSIONS | PHYSICS, ATOMIC, MOLECULAR & CHEMICAL | Models, Chemical | Diffusion | Algorithms | Green's functions | Reactivity | Convolution | Time domain analysis | Mathematical models | Survival | Binding sites | Theoretical Methods and Algorithms
Journal Article
Nature Methods, ISSN 1548-7091, 03/2012, Volume 9, Issue 3, pp. 283 - 289
Cellular signaling processes depend on spatiotemporal distributions of molecular components. Multicolor, high-resolution microscopy permits detailed assessment... 
YEAST | FUS3 MAP KINASE | ADHESION | VOLUME | BIOCHEMICAL RESEARCH METHODS | DIFFUSION | NETWORKS | Animals | Models, Biological | Computer Simulation | Humans | Cell Size | Signal Transduction - physiology | Models, Anatomic | Cell interaction | Models | Computer-generated environments | Research | Computer simulation | Computers | Embedded systems | Dynamical systems
Journal Article
Journal of Chemical Physics, ISSN 0021-9606, 08/2012, Volume 137, Issue 5, p. 054104
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... 
BROWNIAN-MOTION | DYNAMICS | PHYSICS, ATOMIC, MOLECULAR & CHEMICAL | Cell Membrane - chemistry | Models, Theoretical | Probability | Diffusion | Utilities | Green's functions | Mathematical analysis | Boundary conditions | Biology | Two dimensional | Survival | Theoretical Methods and Algorithms
Journal Article
03/2020
Cells exhibit a wide variety of different shapes. This diversity poses a challenge for computational approaches that attempt to shed light on the role cell... 
Quantitative Biology - Quantitative Methods
Journal Article
The European Physical Journal C, ISSN 1434-6044, 4/2006, Volume 46, Issue 1, pp. 255 - 267
Journal Article
04/2016
The path decomposition expansion represents the propagator of the irreversible reaction as a convolution of the first-passage, last-passage and rebinding time... 
Journal Article
07/2013
We investigate reversible diffusion-influenced reactions of an isolated pair in two dimensions. To this end, we employ convolution relations that permit... 
Journal Article
09/2015
We present a simulation algorithm that accurately propagates a molecule pair using large time steps without the need to invoke the full exact analytical... 
Quantitative Biology - Quantitative Methods
Journal Article
Physical Review E, ISSN 2470-0045, 08/2017, Volume 96, Issue 2
Building on mathematical similarities between quantum mechanics and theories of diffusion-influenced reactions, we develop a general approach for computational... 
HALF-LINE | DECOMPOSITION EXPANSION | QUANTUM-MECHANICS | PHYSICS, MATHEMATICAL | PHYSICS, FLUIDS & PLASMAS | PERTURBATION
Journal Article
08/2015
Building on mathematical similarities between quantum mechanics and theories of diffusion-influenced reactions, we discuss how the propagator of a reacting... 
Journal Article
04/2015
Rapid rebinding of molecular interaction partners that are in close proximity after dissociation leads to a dissociation and association kinetics that can... 
Journal Article
05/2014
We further develop the general theory of the area reactivity model that provides an alternative description of the diffusion-influenced reaction of an isolated... 
Journal Article
10/2012
Recently, an exact Green's function of the diffusion equation for a pair of spherical interacting particles in two dimensions subject to a backreaction... 
Journal Article
09/2011
We derive an exact Green's function of the diffusion equation for a pair of spherical interacting particles in 2D subject to a back-reaction boundary condition. 
Quantitative Biology - Quantitative Methods
Journal Article
11/2013
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... 
Journal Article
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