First-passage times of multiple diffusing particles with reversible target-binding kinetics
arXiv:2202.07354 · doi:10.1088/1751-8121/ac7e91
Abstract
We investigate a class of diffusion-controlled reactions that are initiated at the time instance when a prescribed number among particles independently diffusing in a solvent are simultaneously bound to a target region. In the irreversible target-binding setting, the particles that bind to the target stay there forever, and the reaction time is the -th fastest first-passage time to the target, whose distribution is well-known. In turn, reversible binding, which is common for most applications, renders theoretical analysis much more challenging and drastically changes the distribution of reaction times. We develop a renewal-based approach to derive an approximate solution for the probability density of the reaction time. This approximation turns out to be remarkably accurate for a broad range of parameters. We also analyze the dependence of the mean reaction time or, equivalently, the inverse reaction rate, on the main parameters such as , , and binding/unbinding constants. Some biophysical applications and further perspectives are briefly discussed.
References in corpus (45)
- First-passage times in complex scale-invariant media
- Geometry-controlled kinetics
- Extreme value statistics of correlated random variables: a pedagogical review
- Diffusion-limited reactions in dynamic heterogeneous media
- First passages in bounded domains: When is the mean first passage time meaningful?
- Anomalous, non-Gaussian tracer diffusion in heterogeneously crowded environments
- Optimal reaction time for surface-mediated diffusion
- First passage time distribution in heterogeneity controlled kinetics: going beyond the mean first passage time
- Strong defocusing of molecular reaction times results from an interplay of geometry and reaction control
- Paradigm shift in diffusion-mediated surface phenomena
- Survival of an evasive prey
- Capture of the Lamb: Diffusing Predators Seeking a Diffusing Prey
- Kinetics of stochastically-gated diffusion-limited reactions and geometry of random walk trajectories
- Diffusive escape through a narrow opening: new insights into a classic problem
- Universal formula for the mean first passage time in planar domains
- Averaged residence times of stochastic motions in bounded domains
- Full distribution of first exit times in the narrow escape problem
- Towards a full quantitative description of single-molecule reaction kinetics in biological cells
- Mean first-passage time of surface-mediated diffusion in spherical domains
- Distribution of extreme first passage times of diffusion
- From single-particle stochastic kinetics to macroscopic reaction rates: fastest first-passage time of random walkers
- Spectral theory of imperfect diffusion-controlled reactions on heterogeneous catalytic surfaces
- First passage statistics for diffusing diffusivity
- Explicit Construction of the Brownian Self-Transport Operator
- Interlacing Relaxation and First-Passage Phenomena in Reversible Discrete and Continuous Space Markovian Dynamics
- Asymptotics of extreme statistics of escape time in 1,2 and 3-dimensional diffusions
- Exit time distribution in spherically symmetric two-dimensional domains
- Extreme value statistics of ergodic Markov processes from first passage times in the large deviation limit
- A probabilistic approach to extreme statistics of Brownian escape times in dimensions 1, 2, and 3
- Competition between slow and fast regimes for extreme first passage times of diffusion
- Kinetics of active surface-mediated diffusion in spherically symmetric domains
- Exact mean exit time for surface-mediated diffusion
- A unifying approach to first-passage time distributions in diffusing diffusivity and switching diffusion models
- Surface Hopping Propagator: An Alternative Approach to Diffusion-Influenced Reactions
- Diffusion toward non-overlapping partially reactive spherical traps: fresh insights onto classic problems
- A first-passage approach to diffusion-influenced reversible binding: insights into nanoscale signaling at the presynapse
- Survival probability of stochastic processes beyond persistence exponents
- Depletion of Resources by a Population of Diffusing Species
- First-encounter time of two diffusing particles in confinement
- First-passage times to anisotropic partially reactive targets
- Reversible Target-Binding Kinetics of Multiple Impatient Particles
- Generalized model of blockage in particulate flow limited by channel carrying capacity
- First-encounter time of two diffusing particles in two- and three-dimensional confinement
- Stochastic models of multi-channel particulate transport with blockage
- How rare are diffusive rare events?