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• W2295734324 abstract "Certain biological reactions, such as receptor-ligand binding at cell-cell interfaces and macromolecules binding to biopolymers, require many smaller molecules crowding a reaction site to be cleared. Examples include the T cell interface, a key player in immunological information processing. Diffusion sets a limit for such cavitation to occur spontaneously, thereby defining a timescale below which active mechanisms must take over. We consider $N$ independent diffusing particles in a closed domain, containing a sub-region with $N_{0}$ particles, on average. We investigate the time until the sub-region is empty, allowing a subsequent reaction to proceed. The first passage time is computed using an efficient exact simulation algorithm and an asymptotic approximation in the limit that cavitation is rare. In this limit, we find that the mean first passage time is sub-exponential, $T propto e^{N_{0}}/N_{0}^2$. For the case of T cell receptors, we find that stochastic cavitation is exceedingly slow, $10^9$ seconds at physiological densities, however can be accelerated to occur within 5 second with only a four-fold dilution." @default.
• W2295734324 created "2016-06-24" @default.
• W2295734324 creator A5027313402 @default.
• W2295734324 creator A5075874996 @default.
• W2295734324 date "2016-03-21" @default.
• W2295734324 modified "2023-10-18" @default.
• W2295734324 title "First-Passage Time to Clear the Way for Receptor-Ligand Binding in a Crowded Environment" @default.
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• W2295734324 doi "https://doi.org/10.1103/physrevlett.116.128101" @default.
• W2295734324 hasPubMedId "https://pubmed.ncbi.nlm.nih.gov/27058103" @default.
• W2295734324 hasPublicationYear "2016" @default.
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